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Highlights Global Yields: Flattening government yield curves in the developed world have raised concerns about a potential future growth slowdown. Yet real policy rates will need to move into positive territory before monetary policy becomes truly restrictive and curves invert. This means global bond yields have not yet peaked for this cycle. UST-Bund Spread: The U.S. Treasury-German Bund spread has overshot our fair value estimates, and relative positive data surprises are turning more in favor of Europe. We are taking profits on our tactical UST-Bund spread widening trade, after a gain of 7% (hedged into U.S. dollars). UST Technicals: Some of the oversold technical conditions in the U.S. Treasury market have turned more neutral, but sentiment remains bearish. With both U.S. growth and inflation accelerating, we recommend sticking with a strategic below-benchmark U.S. duration stance rather than playing for a tactical short-covering Treasury rally. Feature In most years, investment professionals can look forward to taking some well-deserved time off in July to hit the beach and read a good book. This year, those same investors are forced to keep an eye on their Bloombergs while responding to the public musings of Donald Trump. The president made comments late last week that threatened the independence of the Federal Reserve, while also accusing China and Europe of currency manipulation. While those headlines can briefly move markets on a sunny summer day, they represent more Trump-ian bluster than any potential change in the conduct of U.S. monetary or currency policy. Chart of the WeekCan Policy Be Truly "Tight"##BR##With Negative Real Rates? The underlying dynamic remains one of mixed global growth (strong in the U.S., slowing almost everywhere else) but with low unemployment and rising inflation in most major economies. That means that independent, inflation-fighting central bankers must focus on their inflation mandates. In the U.S., that means more Fed rate hikes and a firm U.S. dollar, regardless of the desires of President Trump - the author of the large fiscal stimulus, at full employment, which is forcing the Fed to continue hiking rates. In other countries, however, the economic backdrop is leading to varying degrees of central banker hawkishness. That ranges from actual rate hikes (Canada) to tapering of bond buying (Europe, Japan) to merely talking up the potential for rate increases (U.K., Sweden, Australia). The aggregate monetary policy stance of the major developed market central banks is now tilted more hawkishly. So it is no surprise that global government bond yield curves have been flattening and returns on risk assets have been underwhelming (Chart of the Week). Yet the reality is that all major global curves still have a positive slope, even in the U.S. and Canada where central banks have been most actively tightening, while real policy interest rates remain below zero. It would be highly unusual for yield curves to invert before real rates turned positive, especially if central bankers must move to an outright restrictive stance given tight labor markets and rising realized inflation. This implies that there is more scope for global bond yields to rise over the next 6-12 months. We continue to recommend that investors maintain a defensive overall duration stance ... and to focus more on that good book on the beach and less on Trump's Twitter feed. Where To Next For The Treasury-Bund Spread? Chart 2A Pause In The Rising Yield Trend,##BR##Not A Reversal The rise in bond yields in both the U.S. and euro area seen in the first quarter of 2018 has been partly reversed since then. One of the culprits has been a stalling of the rally in oil markets, which has prompted a pause in the rise of inflation expectations on both sides of the Atlantic (Chart 2). Yet another factor has been the larger decline in real bond yields, which have fallen around 20bps in the both the U.S. and euro area since the peak in mid-May (bottom two panels). A potential driver of those lower real yields is the growing concern over the potential hit to global growth from rising trade tensions between the U.S. and China (and Europe, Canada, Mexico, etc). This comes at a time when China's economic growth was already slowing and acting as a drag on global trade activity and commodity prices. There has been significant weakness in China's currency and equity market of late, which raises the specter of another broader global selloff as occurred during the Chinese turbulence of 2015/16. Yet the declines in industrial metals prices and emerging market corporate debt have been far more modest so far in 2018 (Chart 3). A big reason for that has been the more subdued performance of the U.S. dollar this year, unlike the massive surge in 2015/16 that crushed risk assets worldwide (Chart 4). A more likely driver of the recent drop in real yields in the U.S. and core Europe was the slump in euro area economic data earlier in 2018. That move not only drove yields lower, but also pushed out the market-implied timing of the first ECB rate hike (Chart 5) and drove the spread between U.S. Treasuries and German Bunds to new wides. In our last Weekly Report, we updated our list of indicators in the U.S. and euro area that we have been monitoring to assess if our below-benchmark duration stance was still appropriate.1 The conclusion was that the underlying trends in growth and inflation on both sides of the Atlantic still supported higher bond yields on a cyclical basis, although the pressures were greater in the U.S. Yet at the same time, the gap between U.S. and euro area government bond yields has remained historically wide, with the 10-year Treasury-German Bund spread now sitting at 255bps - the highest level since the late 1980s. Chart 3Slowing Growth##BR##In China... Chart 4...But Not Yet Enough To Threaten##BR##Global Financial Stability Monetary policy differences have historically been the biggest driver of that spread. Today, the Fed is well into an interest rate hiking cycle that began nearly three years ago, and is now in the process of unwinding its balance sheet. Meanwhile, the ECB has been keeping policy rates at or below 0% while engaging in large-scale bond buying (Chart 6). Chart 5A Turn In European Yields##BR##On The Horizon? Chart 6Wide UST-Bund Spread Reflects##BR##Monetary Policy Divergences When looking at more typical fundamental drivers of the Treasury-Bund spread, many of the cross-regional differences are already "in the price". The spread appears to have overshot relative to the three main factors that go into our Treasury-Bund spread valuation model (Chart 7): The gap between Fed and ECB policy rate The ratio of the U.S. unemployment rate to the euro area equivalent The gap between headline inflation in the U.S. and euro area The Fed's rate hikes have now widened the policy rate differential versus the ECB equivalent (the short-term repo rate) to 200bps. At the same time, the rapidly improving situation in the euro area labor market now means that the unemployment ratio has been constant over the past couple of years, while euro area inflation has also caught up a bit toward U.S. levels in recent months. Adding it all up together in our Treasury-Bund valuation model - which also includes the sizes of the Fed and ECB balance sheets to quantify the impact on yields of bond-buying programs - and the conclusion is that the current spread level of 255bps is 50bps above "fair value" (Chart 8). Chart 7UST-Bund Spread Overshooting Fundamentals Chart 8UST-Bund Spread Looks Wide On Our Model Importantly, fair value is still rising, primarily because of the widening policy rate differential. We have consistently argued that the true cyclical peak in the Treasury-Bund spread will occur when the Fed is done with its rate hike cycle. Yet there are opportunities to play that spread more tactically, based on shorter-term indicators. For example, the gap between the data surprise indices for the U.S. and euro area has been a correlated to the momentum of the Treasury-Bund spread, measured as the 13-week change of the level of the spread (Chart 9). Data surprises are now bottoming out in the euro area while they continue to drift lower in the U.S. As a result, the Treasury-Bund spread momentum has begun to fade, right in line with the narrowing of the data surprise differential. Also from a more technical perspective, the deviation of the Treasury-Bund spread from its 200-day moving average is at one of the more stretched levels of the past decade. Combined with the extended spread momentum, this suggests that the Treasury-Bund spread should expect to see a period of consolidation in the next few months (Chart 10). Chart 9Relative Data Surprises No Longer##BR##Support A Wider UST-Bund Spread Chart 10UST-Bund Spread Momentum##BR##Got To Stretched Extremes We have been recommending both a structural short U.S./long core Europe position in our model bond portfolio for over a year now. We also entered into a trade that directly played for a wider 10-year Treasury-Bund spread in our Tactical Trade portfolio. We initiated that recommendation on August 8th, 2017 when the spread was at 162bps. With the spread now at 255bps, we are now closing out that recommendation this week, taking a profit of 7% (inclusive of the gains from hedging the Bund exposure into U.S. dollars).2 At the same time, we feel that it is too early to position for a narrowing of the Treasury-Bund spread. The large U.S. fiscal stimulus will continue to put upward pressure on U.S. bond yields over the next year, both through higher U.S. inflation and the associated need for tighter Fed policy. Already, the Treasury-Bund spread reflects both the relatively larger dearth of spare capacity in the U.S. economy (Chart 11) and the expected widening of the U.S. federal budget deficit compared to reduced deficits in the euro area (Chart 12). Much like the rise in the fair value of the Treasury-Bund spread, this suggests that there is limited downside for the spread on a more medium-term basis. Chart 11UST-Bund Spread Narrowing Will Be##BR##Limited By Faster U.S. Growth... Chart 12...The Result Of Looser##BR##U.S. Fiscal Policy We are taking profits on our tactical spread based on our read of all of our relevant indicators. There is a good chance, however, that we could consider re-entering a spread widening trade on any meaningful narrowing of the spread or adjustment in our indicators. Bottom Line: The fundamental drivers of the 10-year U.S. Treasury-German Bund spread continue to point to the spread staying wide over the next 6-12 months. Yet the spread has overshot our fair value estimates, and relative positive data surprises are turning more in favor of Europe. We are taking profits on our tactical UST-Bund spread widening trade, after a gain of 7% (hedged into U.S. dollars). A Quick Update On U.S. Treasury Market Technicals One of the overriding aspects of the U.S. Treasury market over the past few months has been the stretched technical backdrop. The combination of oversold price momentum, bearish sentiment and aggressive short positioning have helped keep yields in check, even as U.S. growth and inflation accelerate and the Fed continues to signal more future rate hikes. Back in March, we presented a study of previous episodes of an oversold U.S. Treasury market since the year 2000.3 Our goal was to determine how long it typically took for a resolution of oversold Treasury market conditions. Unsurprisingly, we concluded that the longest episodes of oversold Treasuries occurred when U.S. economic growth and core inflation were both accelerating, and vice versa. At the time of that report, all of the technical indicators that we looked at were signaling that Treasury bearishness was deeply entrenched (Chart 13). Now, four months later, there has been some change in those indicators: Chart 13UST Technical Indicators##BR##Are More Mixed Now The 10-year Treasury yield relative to its 200-day moving average: then, +43bps; now, +18bps The trailing 26-week total return of the Bloomberg Barclays U.S. Treasury index: then, -4.3%; now, -0.6% The J.P. Morgan client survey of bond managers and traders: then, very large underweight duration positioning; now, positioning is neutral The Market Vane index of bullish sentiment for Treasuries: then, near the bottom of the range since 2000; now, still near that same level The CFTC data on speculator positioning in 10-year U.S. Treasury futures: then, a large net short of -8% (scaled by open interest); now, still a large net short of -11%. Therefore, the message from the technical indicators is more mixed now than in March. Price momentum and duration positioning is now neutral, while sentiment and speculative positions remain stretched. The former suggests that there is scope for Treasury yields to begin climbing again, while the latter implies that there may still be room for some counter-trend short-covering Treasury rallies in the near term. In our March study, we defined the duration of each episode of an oversold Treasury market by the following conditions: The start date was when the 10-year Treasury yield was trading at least 30bps above its 200-day moving average and the Market Vane Treasury bullish sentiment index dipped below 50; The end-date was when the yield declined below its 200-day moving average. The details of each of those episodes can be found in Table 1. This is the same table that we presented back in March, but we have now added the current episode. At 150 days in length, this is already the fourth longest period of an oversold Treasury market since 2000. Yet perhaps most surprising is the fact that Treasury yields are essentially unchanged since the start date of the current episode (March 20th, 2018). There is no other period in our study that where yields did not decline while the oversold market resolved itself. Table 1A Look At Prior Episodes Of An Oversold U.S. Treasury Market Perhaps this can be interpreted as a sign that there is still scope for a final short-covering Treasury rally before this current oversold episode can truly end. Yet as we concluded in our March study, it took an average of 156 days for an oversold market to be fully corrected if U.S. growth was accelerating (i.e. the ISM manufacturing index was rising) and core PCE inflation were both rising at the same time - as is currently the case (Chart 14). Chart 14U.S. Growth/Inflation Backdrop Points To Yields Consolidating, Not Reversing The longest such episode in 2003/04 lasted for 203 days before the 10-year yield fell below its 200-day moving average. Yet the second longest episode (196 days) occurred in 2013/14, and Treasury yields ended up climbing to a new cyclical high before eventually peaking. Given the underlying positive momentum in both U.S. economic growth and inflation, but with a mixed message from the technical indicators, we suspect that this current oversold episode may have further to run. Yet as we concluded back in March, and still believe today, it will prove difficult to earn meaningful returns betting on a counter-trend decline in yields this time, as any such move will likely be modest in size and lengthy in duration. Bottom Line: Some of the oversold technical conditions in the U.S. Treasury market have turned more neutral, but sentiment remains very bearish and there are large speculative short positions. With both U.S. growth and inflation accelerating, we recommend sticking with a strategic below-benchmark U.S. duration stance rather than playing for a tactical short-covering Treasury rally. Robert Robis, Senior Vice President Global Fixed Income Strategy rrobis@bcaresearch.com 1 Please see BCA Global Fixed Income Strategy Weekly Report, "The Trendless, Friendless Bond Market", dated July 17th 2018, available at gfis.bcaresearch.com. 2 The return on this trade is calculated using the Bloomberg Barclays 7-10-year government bond indices for the U.S. and Germany, adjusted for duration differences between the indices. The German return is hedged into U.S. dollars, as this trade was done on a currency-hedged basis. 3 Please see BCA Global Fixed Income Strategy Weekly Report, "Bond Markets Are Suffering From Withdrawal Symptoms", dated March 20th 2018, available at gfis.bcaresearch.com. Recommendations The GFIS Recommended Portfolio Vs. The Custom Benchmark Index Duration Regional Allocation Spread Product Tactical Trades Yields & Returns Global Bond Yields Historical Returns

Informe especial

Highlights Chart 1Corporate Health: Improving Everywhere, ##br##Down In The U.S. Dollar bull markets are often accompanied by positive returns for the S&P 500. While a strong dollar hurts the earnings outlook for the S&P 500, it supports an expansion of multiples by putting downward pressure on rates and elongating the U.S. business cycle. The dollar and stocks are most positively correlated when the U.S. yield curve slope is between zero and 50-basis points, and flattening. Today's environment fits this bill. BCA is neutral on U.S. in a balanced portfolio. While the USD's strength should be associated with rising U.S. equity prices, the quality of U.S. stock returns is deteriorating. This warrants a certain degree of de-risking relative to our former overweight stance. Feature For the past two weeks, we have warned investors that the dollar rally was over-extended, and that a correction was likely to ensue. However, we also argued that this correction was likely to prove a countertrend move, and that the dollar was likely to end the year at higher levels. BCA has a neutral stance on equities on both a cyclical and tactical horizon. BCA is also neutral on U.S. equities within a global equity portfolio. For investors, it becomes important to understand whether a stronger dollar constitutes an additional downside risk for stocks. This is especially relevant in the U.S., where equity valuations are comparatively elevated, and where corporate health is deteriorating relative to the rest of the world (Chart 1). In this report, we built on the research of our colleague Anastasios Avgeriou, who spearheads BCA's U.S. Equity Sector Strategy service, who has shown that the dollar and the S&P often do rise in unison.1 Ultimately, while the dollar can have an impact on the relative performance of the U.S., it is generally not a strong determinant of the trend in the S&P 500. Strong Dollar And The S&P: Good Friends Indeed A picture is worth a thousand words. As Chart 2 illustrates, a strong dollar has never really been enough to slay a bull run in the S&P 500. Between late 1978 and early 1985, the real trade-weighted dollar rallied by 45%, yet the S&P 500 was able to advance by 102%. Between 1995 and 2002, the real trade-weighted dollar increased by 33% but rallied by nearly 92%. If one were to confine their observations to 1995 to August 2000 window, the dollar would have been up 16.5% and the S&P an outstanding 223%. Finally, from its most recent cyclical bottom in 2011 to the end of 2016, the trade-weighted dollar rallied by 22%, but the S&P 500 managed to rise by another impressive 68%. It is true that the magnitude of the strength of U.S. equities in the face of a strong dollar has decreased over time. This essentially reflects the fact that in the early 1980s, 20% of S&P 500 revenues were garnered outside the U.S. versus roughly 40% today, which in turn has increased the drag on earnings created by a stronger dollar. This problem is illustrated by the negative relationship present between the dollar and U.S. earnings revisions (Chart 3). Chart 2Strong Dollar, No Problem Chart 3Dollar Is Dangerous For The Earnings Outlook Yet, despite this negative link between earnings revisions and the dollar, the S&P can still rise when the dollar increases. What explains this seeming paradox? The answer is almost tautological: It is multiples. A strong dollar tends to be associated with a rising P/E ratio. This is because a strong dollar has a dampening impact on inflation. As a result, when the dollar rises, the Federal Reserve can keep interest rates lower than would otherwise be the case, fomenting periods of declining bond yields (Chart 4). Thanks to lower bond yields, not only do multiples get a boost, but additionally the domestically driven U.S. economic cycle also gets elongated. This further helps stocks in the process. Another more international dimension helps explain the positive correlation between stocks and the dollar. The dollar tends to experience its strongest rallies when U.S. growth is superior to that of the rest of the G-10. As Chart 5 illustrates, the bulk of the early 1980s dollar rally, of the late 1990s rally, and of the 2011 to early 2017 rally materialized when U.S. economic activity was outperforming. In all these instances, the relative strength of the U.S. economy attracted funds from abroad. This also meant that foreign funds flowing into the U.S. economy bolstered liquidity in the U.S. economy. Not only did this liquidity support economic activity, thereby counterbalancing the drag created by a stronger dollar, these funds also found their way into asset markets, generating higher multiples in the U.S. in the process. Chart 4Strong Dollar Hurts Yields Chart 5Growth Differentials Matter For The Dollar Bottom Line: A strong dollar in and of itself has never been enough to derail a bull market in the S&P 500. While a strong dollar creates a hurdle for foreign earnings accruing to U.S. firms, higher multiples often compensate for this negative. Essentially, a higher dollar causes downside to bond yields, warranting lower hurdle rates and higher valuations. Moreover, a stronger dollar diminishes inflationary pressures in the U.S., warranting easier Fed policy than would otherwise be the case. Since the U.S. economy is domestically driven, this elongates the business cycle, helping stocks in the process. Correlation And The Yield Curve Slope While a strong dollar does not seem to be a death threat for the equity market, are there environments when the dollar and the S&P 500 are more correlated than others? Table 1Dollar Versus S&P 500 Correlation: ##br##A Function Of The Yield Curve The answer to this question is yes. As Table 1 illustrates, the correlation between the dollar and the S&P 500 fluctuates significantly based on both the slope of the yield curve and whether the yield curve is flattening or not. Interestingly, when the yield curve is steep (defined as greater than a 50-basis-point spread between 10-year and 2-year Treasury yields), the dollar and U.S. stock prices tend to move in opposite directions. However, when the yield curve is flatter but before it has yet to invert (a yield curve slope of between zero and 50 basis points), the correlation between the dollar and the S&P 500 changes: it becomes positive. In fact, the time at which the correlation between stocks and the dollar is the highest is when the yield curve slope is in that zone and is also flattening. This is surprising, but at the same time it makes sense. We know that when the yield curve is flat but not inverted, the stock market tends to still rally (Chart 6). However, this flattening yield curve indicates that monetary conditions are not as accommodative as they once were. Interestingly, while the dollar performs poorly in the early innings of a monetary tightening campaign, it performs much better when monetary conditions are not so easy anymore that they juice up global growth, but they are not yet tight enough to cause an imminent recession in the U.S.2 This corresponds to a an environment with a flatter yield curve that has yet to invert, such as the one in place today. In light of these observations, the close correlation between the S&P 500 and the dollar in this environment should not be very surprising. Chart 6Flat And Flattening: No Problem For Stocks Bottom Line: The dollar and the stock market are not always positively correlated. However, when the U.S. yield curve slope stands between zero and 50 basis points and is flattening, the positive correlation between the S&P 500 and the dollar is at its strongest. This defines today's environment. Investment Implications BCA thinks the U.S. dollar has ample downside on a long-term basis. After all, the U.S. dollar trades at a significant premium to its PPP fair value, and this kind of overvaluation historically indicates significant downside for the greenback on a multi-year time horizon (Chart 7). Moreover, the Trump administration's fiscal policy is likely to result in a widening of both the fiscal and current account deficits. While a twin deficit rarely impacts the dollar negatively, so long as U.S. real rates rise relative to the rest of the world, it nonetheless often ends up being a harbinger of long-term weakness in the greenback.3 It is hard to make any inference for the S&P 500 based on a bearish long-term dollar view as historically, during a structural dollar bear market, the relationship between the greenback and the S&P has been rather ambiguous. However, BCA also thinks the 2018 dollar rally is not over. As Chart 8 shows, when U.S. rates are in the top of the distribution of interest rates among G-10 economies, the dollar tends to perform well. The U.S.'s status as the global high-yielder is currently unchallenged. This suggests the dollar has a natural advantage over other currencies through the remainder of the year. Chart 7Long-Term Downside For The Dollar... Chart 8...But 2018 Rally Is Not Over Moreover, as the U.S. economy is less exposed to the global industrial cycle than the rest of the world is, the U.S. dollar will benefit from the softening global economic environment. This is even truer, given that the U.S. economy was already set to outperform other G-10 economies even before the soft patch in global trade began. As a result, long-term flows into the U.S. are strong, which is generating a basic balance-of-payments surplus (Chart 9). American investors are not blind to this reality; the higher expected rate of returns on U.S. projects along with U.S. corporations bringing earnings back home to take advantage of the Trump tax cuts is generating outsized repatriation flows into the country, historically a good correlate of a strong dollar (Chart 10). This phenomenon is likely to remain alive through the remainder of the year. Chart 9Money Is Making Its Way Into The U.S. Chart 10Americans Like Their Dollar Since the U.S. yield curve slope currently stands between zero and 50 basis points while it is flattening in response to the Fed's interest rate hikes, we are in the part of the cycle where the dollar and stocks are positively correlated, and where they in fact often rise together. This suggests the S&P 500 has more upside ahead for the rest of the year as well. It is important to note that the tech sector is now the most at risk from the dollar strength as it has the largest percentage of foreign sales (Chart 11). However, BCA is neutral on stocks on a cyclical horizon. This is not because stocks will not be able to eke out some positive returns; it is because we are acutely aware that we stand close to the end of the bull market. Moreover, the end of an equity bull market is often marked by a pick-up in volatility. Accordingly, risk-adjusted returns for U.S. equities are declining. Hence, while an underweight stance on stocks is not yet warranted, a neutral stance is appropriate as we believe that it is better to be early and leave some money on the table than to be late.4 There remains a big risk that could cause the dollar to rally and stocks to fall, despite where we stand in the cycle: trade disputes. As Chart 12 illustrates, since May, tariff announcements and protectionist pronouncements have buoyed the dollar. However, the same announcements ultimately represent a real risk to profits as they create a real danger for global supply chains and imply higher cost of goods sold by U.S. corporations. Investors should monitor these risks closely. Chart 11S&P 500: Aggregate Sector International Revenue Exposure (%) Chart 12While Tariffs Can Help The Dollar, ##br##They Will Not Help Stocks Bottom Line: BCA anticipates the dollar to be able to rise over the course of the next six to nine months, as U.S. rates are in favor of the greenback and domestic growth outperformance will continue to favor inflows into the U.S. This bullish view on the U.S. dollar currently does not constitute a reason to downgrade stocks to underweight. In fact, at this stage of the cycle, U.S. stocks and the dollar tend to rise in unison. However, since the quality of the equity gains is likely to deteriorate as equity volatility is on an uptrend, BCA prefers to maintain a neutral cyclical stance on equities within a balanced portfolio rather than an overweight stance. Mathieu Savary, Vice President Foreign Exchange Strategy mathieu@bcaresearch.com 1 Please see U.S. Equity Sector Strategy Insight Report, titled "Can the S&P 500 Continue Rising Alongside the U.S. Dollar?", dated October 13, 2016, available at uses.bcaresearch.com 2 Please see Foreign Exchange Strategy Weekly Report, titled "This Time Is NOT Different," dated May 25 2018, available at fes.bcaresearch.com 3 Please see Foreign Exchange Strategy Weekly Report, titled "Twin Deficits: Bearish Or Not, The Fed Holds The Trump Card," dated February 23 2018, available at fes.bcaresearch.com 4 Please see The Bank Credit Analyst Special Report, titled "U.S. Fiscal Policy: An Unprecedented Macro Experiment," dated June 28, 2018 available at bcaresearch.com. Trades & Forecasts Forecast Summary Core Portfolio Tactical Trades Closed Trades

Dear Client, Geopolitical analysis is a fundamental part of the investment process. My colleague, and BCA's Chief Geopolitical Strategist, Marko Papic will introduce a one-day specialized course - Geopolitics & Investing - to our current BCA Academy offerings. This special inaugural session will take place on September 26 in Toronto and is available, complimentary, only to those who sign up to BCA's 2018 Investment Conference. The course is aimed at investors and asset managers and will emphasize the key principles of our geopolitical methodology. Marko launched BCA's Geopolitical Strategy (GPS) in 2012. It is the financial industry's only dedicated geopolitical research product and focuses on the geopolitical and macroeconomic realities which constrain policymakers' options. The Geopolitics & Investing course will introduce: The constraints-based methodology that underpins BCA's Geopolitical Strategy; Best-practices for reading the news and avoiding media biases; Game theory and its application to markets; Generating "geopolitical alpha;" Manipulating data in the context of political analysis. The course will conclude with two topical and market-relevant "war games," which will tie together the methods and best-practices introduced in the course. We hope to see you there. Click here to join us! Space is limited. Ryan Swift, Vice President U.S. Bond Strategy Highlights Chart 1Inflations Expectations Hard To Shake Low inflation expectations are proving difficult to shake. Year-over-year core PCE inflation moved to within 5 bps of the Fed's 2% target in May, but long-maturity TIPS breakeven inflation rates barely budged (Chart 1). Instead, breakevens are taking cues from commodity prices which are being held down by flagging global growth (bottom panel). The minutes from the June FOMC meeting revealed that "one participant" advocated postponing rate hikes in an attempt to re-anchor inflation expectations, but we do not expect the Fed to pursue this course. Instead, the Fed will continue to lift rates at a pace of 25 bps per quarter until a risk-off episode in financial markets prompts a delay, hoping that the incoming inflation data are strong enough to send TIPS breakevens higher in the meantime. Ultimately we think that strategy will be successful, but Fed hawkishness in the face of weakening global growth threatens the near-term performance of corporate credit. We recommend only a neutral allocation to spread product versus Treasuries, while maintaining a below-benchmark duration bias. Feature Investment Grade: Neutral Chart 2Investment Grade Market Overview Investment grade corporate bonds underperformed the duration-equivalent Treasury index by 60 basis points in June, dragging year-to-date excess returns down to -181 bps. Value is no longer stretched in the investment grade corporate bond market, though it is not attractive enough to compensate for being in the late stages of the credit cycle or for the looming collision between a hawkish Fed and decelerating global growth. These factors led us to reduce exposure to corporate bonds two weeks ago.1 With inflation running close to the Fed's 2% target and the 2/10 Treasury slope between 0 bps and 50 bps, our research shows that small positive excess returns are the best case scenario for corporate bonds. The likelihood that leverage will rise in the second half of this year is also a concern (Chart 2). Profit growth is only just keeping pace with debt growth and will soon have to contend with rising wage costs and the drag from recent dollar strength. The Fed's staunch hawkishness in the face of decelerating global growth is reminiscent of 2015. Then, the end result was a period of spread widening that culminated in the Fed pausing its rate hike cycle. In recent weeks we also explored how to position within the investment grade corporate bond sector, considering both the maturity spectrum and the different credit tiers.2 We concluded that in the current environment investors should favor long maturities and maintain a balanced or slightly up-in-quality bias (Table 3). Table 3ACorporate Sector Relative Valuation And Recommended Allocation* Table 3BCorporate Sector Risk Vs. Reward* High-Yield: Neutral Chart 3High-Yield Market Overview High-Yield outperformed the duration-equivalent Treasury index by 40 basis points in June, bringing year-to-date excess returns up to +76 bps. The average index option-adjusted spread widened 1 bp on the month, and currently sits at 365 bps. Our measure of the excess spread available in the High-Yield index after accounting for expected default losses has widened to 262 bps, just above its long-run mean (Chart 3). This tells us that if default losses during the next 12 months are in line with our expectations, we should expect excess high-yield returns of 262 bps over duration-matched Treasuries, assuming also that there are no capital gains/losses from spread tightening/widening. However, we showed in last week's report that the default loss expectations embedded in our calculation are extremely low relative to history (panel 4).3 Our assumption, derived from the Moody's baseline default rate forecast and our own forecast of the recovery rate, calls for default losses of 1.03% during the next 12 months. The only historical period to show significantly lower default losses was 2007, a time when corporate balance sheets were in much better shape than they are today. While most indicators suggest that default losses will in fact remain low for the next 12 months, historical context clearly demonstrates that the risks to that forecast are to the upside. It will be critically important to track real-time indicators of the default rate such as job cut announcements, which remain low relative to history but have perked up in recent months (bottom panel), for signals about whether current default forecasts are overly optimistic. MBS: Neutral Chart 4MBS Market Overview Mortgage-Backed Securities outperformed the duration-equivalent Treasury index by 3 basis points in June, bringing year-to-date excess returns up to -24 bps. The conventional 30-year zero-volatility MBS spread widened 1 bp on the month, driven entirely by a 1 bp widening of the option-adjusted spread (OAS). The compensation for prepayment risk (option cost) held flat. The MBS option-adjusted spread has widened since the beginning of the year (Chart 4), though by much less than the investment grade corporate bond spread (panel 3). The year-to-date OAS widening has been offset by a contraction in the option cost component of spreads, and this has kept the overall nominal MBS spread flat at very tight levels (bottom panel). Going forward, rising interest rates will limit mortgage refinancing activity and this will ensure that MBS spreads remain low. In other words, while MBS valuation is not attractive, the downside is limited. Our Bond Maps show an unfavorable risk/reward trade-off in the MBS sector. This analysis, based on volatility-adjusted breakeven spreads, shows that only 7 days of average spread widening are required for the MBS sector to lose 100 bps versus duration-matched Treasuries. While this speaks to the low spread buffer built into current MBS valuations, the message from the Bond Map must be weighed against the macro outlook which suggests that the odds of significant spread widening are quite low. Government-Related: Underweight Chart 5Government-Related Market Overview The Government-Related index outperformed the duration-equivalent Treasury index by 5 basis points in June, bringing year-to-date excess returns up to -35 bps. Sovereign debt outperformed the Treasury benchmark by 33 bps on the month, bringing year-to-date excess returns up to -210 bps. Foreign Agencies outperformed by 10 bps on the month, bringing year-to-date excess returns up to -46 bps. Local Authorities underperformed by 9 bps on the month, dragging year-to-date excess returns down to +28 bps. Supranationals outperformed by 5 bps on the month, bringing year-to-date excess returns up to +7 bps. Domestic Agency bonds underperformed by 7 bps, dragging year-to-date excess returns down to zero. The escalating tit-for-tat trade war and increasing divergence between U.S. and non-U.S. growth is a clear negative for USD-denominated Sovereign debt. Relative valuation also shows that U.S. corporate bonds are more attractive than similarly rated Sovereigns (Chart 5). Maintain an underweight allocation to Sovereign debt. Within the universe of Emerging Market Sovereign debt, we showed in a recent report that only Russian debt offers an attractive spread relative to the U.S. corporate sector.4 In contrast, the Foreign Agency and Local Authority sectors continue to offer a favorable risk/reward trade-off compared to other fixed income sectors (please see the Bond Maps). Maintain overweight allocations to these two sectors. The Bond Maps also show that the Supranational and Domestic Agency sectors are very low risk, but offer feeble return potential compared to other sectors. The Supranational and Domestic Agency sectors should be avoided. Municipal Bonds: Overweight Chart 6Municipal Market Overview Municipal bonds outperformed the duration-equivalent Treasury index by 10 basis points in June, bringing year-to-date excess returns up to +120 bps (before adjusting for the tax advantage). The average Aaa-rated Municipal/Treasury yield ratio fell 1% in June to reach 85%, close to one standard deviation below its post-crisis mean. It is also only slightly higher than the average 81% level that was observed in the late stages of the previous cycle, between mid-2006 and mid-2007. The technical picture remains favorable for Muni / Treasury yield ratios. Fund inflows increased in recent weeks, and visible supply has contracted substantially compared to this time last year (Chart 6). State & local government credit fundamentals are also fairly robust. Net borrowing is on the decline and this should ensure that municipal ratings upgrades continue to outpace downgrades (bottom panel). Despite relatively tight valuation compared to history, the Total Return Bond Map on page 16 shows that municipal bonds offer a fairly attractive risk/reward trade-off compared to other U.S. fixed income sectors, particularly for investors exposed to the top marginal tax rate. Given the favorable reading from our Bond Map and the steadily improving credit fundamentals, we recommend an overweight allocation to Municipal bonds. Treasury Curve: Favor 7-Year Bullet Over 1/20 Barbell Chart 7Treasury Yield Curve Overview The Treasury curve bear-flattened in June. The 2/10 Treasury slope flattened 10 bps and the 5/30 slope flattened 7 bps. At present, the 2/10 slope sits at 29 bps, its flattest level of the cycle. The yield curve has flattened relentlessly in recent months as the impact of Fed rate hikes at the short-end of the curve have not been offset by higher inflation expectations at the long end. As explained in a recent report, we think it is unlikely that curve flattening can maintain this rapid pace.5 At 2.34%, the 1-year Treasury yield is already priced for 100 bps of Fed rate hikes during the next 12 months, assuming no term premium. Meanwhile, long-maturity TIPS breakeven inflation rates remain below levels that are consistent with the Fed's 2% inflation target. While curve flattening will proceed as the Fed lifts rates, higher breakeven inflation rates at the long-end of the curve will offset some flattening pressure during the next few months. With that in mind, we continue to recommend a position long the 7-year bullet and short the duration-matched 1/20 barbell. According to our models, this butterfly spread currently discounts 41 bps of 1/20 curve flattening during the next six months (Chart 7). This is considerably more than what is likely to occur. Table 4 of this report shows the output from our valuation models for each butterfly combination across the entire yield curve, as explained in a recent Special Report.6 Table 4Butterfly Strategy Valuation (As Of July 6, 2018) TIPS: Overweight Chart 8Inflation Compensation TIPS outperformed the duration-equivalent nominal Treasury index by 35 basis points in June, bringing year-to-date excess returns up to +129 bps. The 10-year TIPS breakeven inflation rate increased 4 bps on the month and currently sits at 2.12%. The 5-year/5-year forward TIPS breakeven inflation rate increased 5 bps and currently sits at 2.16% (Chart 8). Both the 10-year and 5-year/5-year TIPS breakeven inflation rates remain below the range of 2.3% to 2.5% that has historically been consistent with inflation expectations that are well-anchored around the Fed's 2% target. We expect breakevens will return to that target range as investors become increasingly convinced that the risk of deflation has faded. Consistent inflation prints at or above the Fed's 2% target will be the deciding factor that eventually leads to this upward re-rating of inflation expectations. In that regard, the current outlook is promising. Core PCE inflation has printed above the 0.17% month-over-month level that is consistent with 2% annual inflation in four of the past five months (panel 4). Year-over-year trimmed mean PCE inflation is at 1.84% and should continue to rise based on the 2.03% reading from the 6-month trimmed mean PCE (bottom panel). Finally, our Pipeline Inflation Indicator continues to point toward mounting inflationary pressures in the economy (panel 3). Maintain an overweight allocation to TIPS relative to nominal Treasury securities. We will reduce exposure to TIPS once long-maturity TIPS breakeven inflation rates return to our 2.3% to 2.5% target range. ABS: Neutral Chart 9ABS Market Overview Asset-Backed Securities outperformed the duration-equivalent Treasury index by 1 basis point in June, bringing year-to-date excess returns up to -2 bps. The index option-adjusted spread for Aaa-rated ABS widened 2 bps on the month and now stands at 43 bps, 16 bps above its pre-crisis low. The Bond Maps show that consumer ABS continue to offer relatively attractive return potential compared to other low-risk spread products. However, we maintain only a neutral allocation to this space because credit quality trends are moving against the sector. The household debt service ratio on consumer credit ticked down slightly in the first quarter, but its multi-year uptrend remains intact (Chart 9). Consumer credit delinquency rates follow the household debt service ratio with a lag. Meanwhile, banks are noticing the decline in credit quality and have begun tightening lending standards (bottom panel). Tighter lending standards tend to coincide with upward pressure on delinquencies and spreads. Non-Agency CMBS: Underweight Chart 10CMBS Market Overview Non-Agency Commercial Mortgage-Backed Securities underperformed the duration-equivalent Treasury index by 11 basis points in June, dragging year-to-date excess returns down to +61 bps. The index option-adjusted spread for non-agency Aaa-rated CMBS widened 4 bps on the month and currently sits at 74 bps (Chart 10). The gap between decelerating commercial real estate prices and tight CMBS spreads continues to send a worrying signal for CMBS (panel 3). However, delinquencies continue to decline and banks recently started to ease lending standards on nonfarm nonresidential loans (bottom panel). Agency CMBS: Overweight Agency CMBS underperformed the duration-equivalent Treasury index by 6 basis points in June, dragging year-to-date excess returns down to +6 bps. The index option-adjusted spread widened 2 bps on the month and currently sits at 51 bps. The Bond Maps show that Agency CMBS offer high potential return compared to other low risk spread products. An overweight allocation to this defensive sector continues to make sense. The BCA Bond Maps The following page presents excess return and total return Bond Maps that we use to assess the relative risk/reward trade-off between different sectors of the U.S. fixed income market. The Maps employ volatility-adjusted breakeven spread/yield analysis to show how likely it is that a given sector will earn/lose money during the subsequent 12 months. The Maps do not impose any macroeconomic view. The Excess Return Bond Map The horizontal axis of the excess return Bond Map shows the number of days of average spread widening required for each sector to lose 100 bps versus a position in duration-matched Treasuries. Sectors plotting further to the left require more days of average spread widening and are therefore less likely to see losses. The vertical axis shows the number of days of average spread tightening required for each sector to earn 100 bps in excess of duration-matched Treasuries. Sectors plotting further toward the top require fewer days of spread tightening and are therefore more likely to earn 100 bps in excess of Treasuries. The Total Return Bond Map The horizontal axis of the total return Bond Map shows the number of days of average yield increase required for each sector to lose 5% in total return terms. Sectors plotting further to the left require more days of yield increases and are therefore less likely to lose 5%. The vertical axis shows the number of days of average yield decline required for each sector to earn 5% in total return terms. Sectors plotting further toward the top require fewer days of yield decline and are therefore more likely to earn 5%. Chart 11Excess Return Bond Map (As Of July 6, 2018) Chart 12Total Return Bond Map (As Of July 6, 2018) Ryan Swift, Vice President U.S. Bond Strategy rswift@bcaresearch.com Jeremie Peloso, Research Analyst jeremiep@bcaresearch.com 1 Please see U.S. Bond Strategy Special Report, "Go To Neutral On Spread Product", dated June 26, 2018, available at usbs.bcaresearch.com 2 Please see U.S. Bond Strategy Weekly Report, "Rigidly Defined Areas Of Doubt And Uncertainty", dated June 19, 2018, for further details on positioning across different credit tiers. Please see U.S. Bond Strategy Weekly Report, "Out Of Sync", dated July 3, 2018, for further details on positioning across the maturity spectrum. Both reports available at usbs.bcaresearch.com 3 Please see U.S. Bond Strategy Weekly Report, "Out Of Sync", dated July 3, 2018, available at usbs.bcaresearch.com 4 Please see U.S. Bond Strategy Weekly Report, "Threats & Opportunities In Emerging Markets", dated June 12, 2018, available at usbs.bcaresearch.com 5 Please see U.S. Bond Strategy Weekly Report, "Rigidly Defined Areas Of Doubt And Uncertainty", dated June 19, 2018, available at usbs.bcaresearch.com 6 Please see U.S. Bond Strategy Special Report, "More Bullets, Barbells And Butterflies", dated May 15, 2018, available at usbs.bcaresearch.com Fixed Income Sector Performance Recommended Portfolio Specification Corporate Sector Relative Valuation And Recommended Allocation Total Return Comparison: 7-Year Bullet Versus 2-20 Barbell (6-Month Investment Horizon)

Highlights Monetary Policy: Position for rate hikes of 25 bps per quarter for the next 6-12 months and watch nominal GDP growth, cyclical spending and the price of gold for signals about the position of the fed funds rate relative to its equilibrium level. Yield Curve: Curve flattening will proceed as the Fed lifts rates, but some flattening pressure will be mitigated by the re-anchoring of long-dated inflation expectations. Against this back-drop, and given currently attractive valuations, a position long the 7-year bullet and short the duration-matched 1/20 barbell makes the most sense. IG Credit: Moving down-in-quality has a greater positive impact on the risk-adjusted performance of a credit portfolio when excess return volatility and index duration-times-spread are low. At present, down-in-quality allocations within investment grade credit are only marginally attractive. Feature "You just let the machines get on with the adding up," warned Majikthise, "and we'll take care of the eternal verities, thank you very much. [...] "That's right," shouted Vroomfondel, "we demand rigidly defined areas of doubt and uncertainty!" - The Hitchhiker's Guide To The Galaxy, By Douglas Adams Jerome Powell put his stamp on Fed communications at last week's FOMC meeting. He trimmed 100 words from the policy statement and began his post-meeting press conference with a concise "plain-English" summary of how the economy is doing. In short: "the economy is doing very well". But while he expressed confidence in the Fed's assessment of the economy, he was also keen to point out areas where the outlook is cloudier. His central theme seemed to be that we must delineate between those questions that can be addressed by the Fed's reading of the economic data and those that are better left to the philosophers in Douglas Adams' novel. The Chairman stressed the uncertainty surrounding two concepts in particular: the non-accelerating inflation rate of unemployment (NAIRU) and the neutral (or equilibrium) interest rate, even advising that "we can't be too attached to these unobservable variables." But what can we say about these traditionally important policy guideposts? And more importantly, how should we think about them when formulating an investment strategy? The Importance Of NAIRU Chart 1The Fed's Projections One issue that came up repeatedly in the Chairman's press conference was the seeming disconnect between the Fed's labor market projections and its inflation projections. The Fed expects the unemployment rate to fall far below NAIRU during the next two years, and yet it anticipates only a mild overshoot of its inflation target (Chart 1).1 Ultimately this disconnect will be resolved in one of two ways. Either the Fed is underestimating the inflation pressures that will result from running the unemployment rate so far below NAIRU and will be forced to hike rates more quickly than anticipated, or it will eventually revise its estimate of NAIRU downward. From an investment perspective, this disconnect will only matter if inflation starts to rise more quickly than anticipated and the Fed is forced to ramp up the pace of rate hikes. We discussed this possibility in a recent report and concluded that, on a 6-12 month horizon, the odds of the Fed hiking more quickly than its current 25 bps per quarter pace are low.2 This is principally because the Fed will likely tolerate a fairly substantial overshoot of its inflation target before it feels the need to tighten more quickly. The Importance Of The Neutral Rate For bond investors the theoretical concept of the neutral (or equilibrium) interest rate is much more important. This interest rate represents the threshold between accommodative and restrictive monetary policy. When the fed funds rate is above neutral we should expect the pace of economic growth to slow and inflation pressures to dissipate. At present, the majority of FOMC participants estimate that the neutral fed funds rate is between 2.75% and 3%. At the Fed's current 25 bps per quarter pace, the funds rate will reach neutral by the middle of next year (Chart 2). Chart 2The Federal Funds Rate Will Hit Neutral Next Year The important question for investors is whether the Fed will start to slow its rate hike pace at that time, or whether it will revise its estimate of the neutral rate based on trends in the economy. Chairman Powell's emphasis on uncertainty makes us lean toward the latter. In a recent report we outlined three factors to monitor that will help us determine whether monetary policy is accommodative (fed funds rate below neutral) or restrictive (fed funds rate above neutral).3 The first factor is the year-over-year growth rate in nominal GDP relative to the fed funds rate (Chart 3). Historically, the year-over-year growth rate in nominal GDP falling below the fed funds rate is a reliable (though often lagging) signal that monetary policy has turned restrictive. A more leading signal of restrictive monetary policy is the proportion of nominal GDP that comes from the most cyclical (or interest rate sensitive) sectors of the economy. Those sectors being consumer spending on durable goods, residential investment and investment on equipment & software. When cyclical spending declines as a proportion of overall growth it is often a sign that the fed funds rate is above its neutral level (Chart 3, panel 2). Finally, we also recommend monitoring the price of gold for clues about the neutral rate of interest. Gold tends to appreciate when the stance of monetary policy becomes more accommodative and depreciate when it becomes more restrictive. The steep decline in the gold price between 2013 and 2016 even preceded downward revisions to the Fed's estimate of the neutral rate (Chart 4). Going forward, an upside breakout in the price of gold would be a signal that we should revise our estimate of the neutral fed funds rate higher. Conversely, a large decline would suggest that monetary policy is turning restrictive and we should think about calling the cyclical peak in bond yields. Chart 3Tracking The Neutral Rate I Chart 4Tracking The Neutral Rate II Bottom Line: Rather than rely on current estimates of unobservable variables like NAIRU and the neutral rate of interest, investors should monitor developments in the economy and consider how those estimates might evolve over time. For now, investors should expect a rate hike pace of 25 bps per quarter and watch nominal GDP growth, cyclical spending and the price of gold for signals about the position of the fed funds rate relative to its equilibrium level. Gradualism And The Slope Of The Curve The Fed's fairly explicit guidance that rates will rise by 25 bps per quarter is quite helpful when formulating expectations about the slope of the yield curve. For example, we know that the current 1-year par coupon Treasury yield of 2.35% is priced for exactly 100 bps of rate hikes during the next 12 months with no term premium. In other words, investors today should be indifferent between an investment in cash and an investment in a 1-year Treasury note if they are 100% certain that the Fed will stick to its 25 bps per quarter hike pace for the next 12 months. We can also forecast where the 1-year Treasury yield will be six months from now under a few different scenarios (Table 1). The forward curve is consistent with a 1-year Treasury yield of 2.69% six months from now, and we calculate that it will be 2.83% if the market moves to fully discount a rate hike pace of 25 bps per quarter until the end of 2019. If the market only prices in the Fed's median funds rate projection, which calls for three hikes in 2019, then the 1-year Treasury yield will be between 2.62% and 2.81% six months from now, depending on which meetings in 2019 those three rate hikes are delivered. Table 1Forecasting The 1-Year Treasury Yield The main takeaway from these observations is that even in the most hawkish scenario the 1-year Treasury yield will only rise to 2.83%. This is 48 bps above its current level and a mere 14 bps more than what is already priced into the forward curve. Now let's consider the long-end of the curve. The 10-year and 20-year TIPS breakeven inflation rates currently sit at 2.12% and 2.10%, respectively. If inflation expectations become re-anchored around the Fed's 2% target during the next six months, which we expect they will, then both of these rates will reach a range between 2.3% and 2.5% (Chart 5). This alone will apply between 20 bps and 40 bps of upward pressure to the 20-year Treasury yield. The nominal 20-year Treasury yield is currently 2.98% and the forward curve is priced for it to rise to 3.01% in six months. In the most hawkish scenario where the Fed lifts rates 25 bps per quarter and long-maturity yields remain constant, the 1/20 Treasury slope will flatten by 48 bps during the next six months. In the more likely scenario where Fed rate hikes coincide with the re-anchoring of long-dated inflation expectations, the 1/20 slope will flatten by 28 bps or less. Meanwhile, our model of the 1/7/20 butterfly spread shows that it is priced for 55 bps of 1/20 flattening during the next six months (Chart 6). Or put differently, there is so much extra yield pick-up in the 7-year bullet relative to the duration-matched 1/20 barbell that being long the bullet and short the barbell will be profitable unless the 1/20 slope flattens by more than 55 bps. Chart 5Inflation Expectations Are Still Too Low Chart 6Butterfly Spread Fair Value Model Bottom Line: Curve flattening will proceed as the Fed lifts rates, but some flattening pressure will be offset by the re-anchoring of long-dated inflation expectations. Against this back-drop, and given currently attractive valuations, a position long the 7-year bullet and short the duration-matched 1/20 barbell makes the most sense. Risk Update On May 22 we initiated a tactical long duration position premised on extended net short positioning in the bond market and the high likelihood of negative near-term data surprises.4 We have seen considerable movement in our indicators during the past two weeks - positioning is now much closer to neutral (Chart 7) and our model no longer expects data surprises to turn negative (Chart 8). Therefore, this week we remove our tactical long duration recommendation. The biggest current risk to our below-benchmark duration stance is the large divergence that has opened up between U.S. growth and the rest of the world (Chart 9). This divergence is putting upward pressure on the U.S. dollar and, much like in 2015, is starting to hurt growth in emerging markets, as we discussed last week. Chart 7Bond Market Positioning Chart 8Data Surprises Should Remain Positive Chart 9Foreign Growth Is The Greatest Risk But dollar strength and emerging market weakness is not an imminent threat to higher U.S. yields. Using the 2015 experience as a template, we see in Chart 9 that U.S. yields did not fall until after emerging market financial conditions and global growth had already troughed. In fact, it was not until dollar strength and weak global growth culminated in a dramatic tightening of U.S. financial conditions that the Fed finally signaled a slower pace of rate hikes and Treasury yields declined (Chart 9, bottom panel). Similarly, we don't think the Fed will react to a strong dollar and weak foreign growth until the impact is felt by U.S. risk assets. With U.S. growth still elevated and the dollar having appreciated only modestly so far, we think Treasury yields will avoid this risk during the next few months. Nonetheless, the divergence between U.S. and foreign growth is a risk that bears close monitoring. We will not hesitate to alter our duration stance if the dollar continues to appreciate and the divergence appears close to a breaking point. The Best Time To Move Down In Quality In last week's report we reviewed our assessment of where we stand in the credit cycle. That assessment determines whether we should be overweight or underweight investment grade corporate bonds relative to a duration-equivalent position in Treasuries. This week we zero-in on our allocation to investment grade corporate bonds and consider how we should allocate between the different credit tiers (Aaa, Aa, A and Baa). In next week's report we will look at positioning across the different maturity buckets and industries. We begin our analysis with the four Bond Maps presented in Charts 10-13. These Bond Maps show risk-adjusted return potential on the y-axis. Specifically, the number of months of average spread tightening necessary to achieve the excess return threshold listed in each map's title. The risk-adjusted potential for losses is shown on the x-axis. In this case, it shows the number of months of average spread widening required to underperform Treasuries by the amount listed in the title. Chart 10Investment Grade Corporate Excess Return Bond Map:##br## +/- 50 BPs Threshold Chart 11Investment Grade Corporate Excess Return Bond Map: ##br##+/- 100 BPs Threshold Chart 12Investment Grade Corporate Excess Return Bond Map: ##br##+/- 200 BPs Threshold Chart 13Investment Grade Corporate Excess Return Bond Map:##br## +/- 300 BPs Threshold Credit tiers plotting closer to the bottom-left of the Bond Maps have less potential for return and less risk. Credit tiers plotting closer to the upper-right have greater potential for return and more risk. What we find particularly interesting is that when we set a low return threshold, such as +/- 50 bps, the credit tiers plot almost right on top of each other. In other words, an allocation to Baa-rated corporate bonds gives you a much greater chance of earning 50 bps with about the same risk of losing 50 bps as the other credit tiers. But as we increase the excess return threshold the risk/reward trade-off between the different credit tiers becomes more linear. In Chart 13 we see that Baa-rated bonds have a greater chance of earning 300 bps than the other credit tiers, but also carry a significantly greater risk of losing 300 bps. Chart 14Down-In-Quality Works ##br##Best When Vol Is Low This leads to an interesting conclusion. A macro environment where we would expect low excess return volatility is also one where moving down in quality within investment grade corporate bonds is most beneficial from a risk/reward perspective. Conversely, moving down in quality will improve the risk-adjusted performance of your portfolio by less (and might even hurt the risk-adjusted performance of your portfolio) in a highly volatile return environment. To test this theory, we first recognize that the excess return volatility of the investment grade corporate bond index is tightly linked with its duration-times-spread (DTS). Low DTS environments have lower excess return volatility, and also less of a spread differential between the lower and higher credit tiers (Chart 14). With this in mind we split the historical time series of monthly corporate bond excess returns into four quartiles based on the index DTS (Table 2). We also exclude recessions from our sample, meaning this analysis is only valid during periods of economic recovery. Not surprisingly, the results show that the standard deviation of monthly excess returns increases alongside index DTS. But we also see that the average return advantage in the Baa-rated credit tier is lower when the index DTS is higher. Table 2Investment Grade Corporate Bond Excess Returns By Credit Tier (1989-Present)* When the index DTS is between 3 and 4.5, the reward/risk ratio in the Baa-rated credit tier exceeds the average of the other three credit tiers by 0.13. This advantage falls to 0.07 when the DTS is between 4.5 and 6.7; and falls further to 0.04 when the DTS is between 6.7 and 9.7. In the highest DTS quartile, the Baa-rated credit tier provides a lower reward/risk ratio than the average of the other three credit tiers. At present the index DTS is 8.4. This puts us in the second highest quartile relative to history, and is consistent with a 12-month standard deviation of monthly excess returns of roughly 77 bps for the corporate bond index. In this environment we should expect down-in-quality allocations to positively impact the risk-adjusted performance of a credit portfolio, but not by as much as in lower DTS environments. Bottom Line: Moving down-in-quality has a greater positive impact on the risk-adjusted performance of a credit portfolio when excess return volatility and index duration-times-spread are low. At present, down-in-quality allocations within investment grade credit are only marginally attractive. Ryan Swift, Vice President U.S. Bond Strategy rswift@bcaresearch.com 1 In order to display a longer history, Chart 1 shows the Congressional Budget Office's estimate of NAIRU rather than the Fed's. At present both estimates are very close. The CBO estimates NAIRU to be 4.65% and the Fed's median projection calls for a NAIRU of 4.5%. 2 Please see U.S. Bond Strategy Weekly Report, "Breaking Points", dated May 29, 2018, available at usbs.bcaresearch.com 3 Please see U.S. Bond Strategy Weekly Report, "A Signal From Gold?", dated May 1, 2018, available at usbs.bcaresearch.com 4 Please see U.S. Bond Strategy Weekly Report, "Pulling Back And Looking Ahead", dated May 22, 2018, available at usbs.bcaresearch.com Fixed Income Sector Performance Recommended Portfolio Specification

Informe especial

Highlights After having written about the role of the U.S. yield curve in forecasting recessions, we are devoting this Special Report to addressing the widely asked question on the effectiveness of the yield curve in determining asset allocation. A naïve, rules-based approach is applied to the yield curve in each of seven countries/regions to produce a dynamic allocation signal between equities and bonds in each country/region. Despite its simplicity, we find that the dynamic portfolio systematically outperforms the 60/40 equity/bond benchmark portfolio in the U.S., Canada, euro area, Switzerland, U.K. and Australia from a long-term perspective (four years), with Japan being the outlier. Despite the dominance of the U.S. in the global economy and also in global asset markets, the equity/bond performance cycle outside the U.S. does not necessarily follow the U.S. Instead, the yield curve in each country provides a consistently better signal than just following U.S. decisions alone. Currently, signals from yield curves still favor equities over bonds. Feature U.S. yield curve inversion has been a good leading indicator for recessions in the U.S. Since the mid-1950s, every U.S. recession has been preceded with curve inversion, as shown in Chart 1. The lead time, however, varies from one month to 18 months. In addition, even though it is true that stocks underperform bonds in a recession, stocks can begin to underperform bonds long before a recession starts and can also continue to underperform long after a recession ends. For example, U.S. stocks/bonds performance ratio peaked in December 1999 and then troughed in September 2002 with a more than 50% drawdown, yet only about 6% occurred between March 2001 and November 2001 - the NBER official dates for the 2001 recession. So could information from the U.S. yield curve itself systematically add value to a stock-bond allocation decision in the U.S.? Even if it could in the U.S., could the same apply elsewhere, given that yield curves in different countries do not move in a synchronized fashion? (Chart 2) Chart 1U.S. Yield Curve Vs. Recession Chart 2Global Yield Curve Cycle In this Special Report, we use a simplified naïve, rules-based approach to attempt to demonstrate if information from yield curves in seven countries - the U.S., Japan, the U.K, Euro Area, Canada, Australia and Switzerland - can systematically add value in asset allocation decisions. Yield Curves Are An Effective Indicator For Long-Term Asset Allocation The test results are quite encouraging, despite the simplicity and need for further refinement. Except in Japan, yield curves in all six other countries provide value-add information for stock-bond allocation decisions. The solid lines in Chart 3 are the relative total return performance of the active stock/bond portfolio versus the benchmark for each country. The active portfolio is simply constructed based on a naïve rule such that a 10% underweight is given to equities and a 10% overweight is given to bonds when the yield curve reaches the lower band from above. Once the yield curve reaches the upper band from below, the allocation is reversed. The upper and lower bands are explained in our methodology section on page 5, we omit Japan from these charts because, as explained on page 9, its stock/bond ratio has not had a consistent relationship with the yield curve. The dash lines in Chart 3 are the monthly four-year rolling return differentials between the active portfolios and the benchmarks. It is encouraging to see that the four-year rolling performance in each country has suffered only very limited downside. Chart 4 is the same as Chart 3 except that the active bet is maxed out to 40% over- or underweight relative to the 60/40 equity/bond benchmark - i.e. when the signal is bullish for stocks, 100% is in stocks, and when it is bullish for bonds, the weights are 80% bonds and 20% stocks. This is a more extreme version of risk-taking, though the upside/downside trade-off is still quite impressive. This simple approach illustrates that in the long run, the yield curve is a useful indicator for equity/bond allocations. However, it does not do very well on a shorter-term time horizon. As shown in Chart 5, the one-year performance differentials are less appealing. Chart 3Backtest Base Case Chart 4Backtest Aggressive Case Chart 5Short-Term Risk Reward Less Appealing So how are the back tests conducted? The Methodology The Passive Benchmark: A 60/40 fixed-weight equity/bond benchmark is constructed for each country using the MSCI equity total return index and Bloomberg/Barclays Treasury Total Return Index, all in local currencies. The Active Allocation Rule: For each country, a range is set for its yield curve with an upper band and a lower band. The bands are set based on yield curve cycles and also their correlation with stock/bond performance cycles. When the curve reaches the upper band from below, an overweight is assigned to equities until the yield curve reaches the lower band from above, at which point the overweight then shifts to bonds. To determine how the size of the over- and underweight positions impacts the efficacy of the signal, we tested four different bet sizes - from 10% to 40% - in 10% increments, since no short selling is allowed. Objective: The active portfolio in each country is aimed to outperform its passive benchmark with a minimal four-year rolling drawdown. The same approach is applied to all seven countries. In terms of yield curve, the 3M/10 curve works better than the 2/10 curve for the U.S. because the former has better cyclicality. For all other countries, 2/10 yield curves are used. Despite the simplicity of our approach, some interesting observations are worth highlighting: U.S. And Canada: Reduce Risk When Yield Curve Inverts As shown in Chart 6, yield curve inversion in these two countries has historically been a good indication to reduce risk in equities. Bonds in general start to outperform equities after the curve is inverted and continue to do so as the yield curve steepens. However, when the curves steepens near to its cyclical high, then it's time to add risk in equities. Historically, the upper threshold for the U.S. 3M/10 is 3.4%, while for the Canadian 2/10 it is 1.8%. Currently, this indicator alone still favors equities in these two countries. Chart 6AU.S. & Canada: Curve Inversion ##br##Triggers Risk Reduction (I) Chart 6BU.S. & Canada: Curve Inversion ##br##Triggers Risk Reduction (II) Euro Area And Switzerland: Reduce Risk Before Yield Curve Approaches Inversion As shown in Chart 7, the yield curve of the euro area does not invert often, while the Swiss curve has never gone into inversion during the short period for which we have historical data. However, both curves have good cyclicality, which makes the 0.2%-1.8% range works very well for both. Chart 7AEuro Area & Swiss: Reduce Risk##br## Before Curve Inverts (I) Chart 7BEuro Area & Swiss: Reduce Risk ##br##Before Curve Inverts (II) U.K And Australia: Reduce Risk After Yield Curve Has Inverted 2/10 yield curves in both the U.K. and Australia invert more often than in other countries. However, unlike other countries, equities can continue to outperform bonds even after the curve is inverted. The turning point is about minus 50 basis points, as shown in Chart 8. The upper band for Australia is 1.25% and 0.9% for the U.K. Chart 8AU.K. & Australia: Reduce Risk ##br##After Yield Curve Has Inverted (I) Chart 8BU.K. & Australia: Reduce Risk ##br##After Yield Curve Has Inverted (II) Japan: Yield Curve Does Not Provide Consistent Information The Japanese stock/bond ratio does not have a consistent relationship with the 2/10 yield curve, as shown in Chart 9. This makes it very difficult to apply the simple approach employed here. Country Divergence U.S. economic cycles have been widely studied. But as shown in Chart 1, correctly identifying recessions in the U.S. does not systematically capture equity/bond relative performance cycles because even U.S. equities can underperform bonds before a recession starts and after a recession ends. Using the yield curve, on the other hand, does a much better job in capturing the equity/bond performance cycle in each country. Chart 10 shows that investors in different countries should pay more attention to local yield curve cycles other than just following a U.S.-centric analysis, even though the U.S. does play a dominant role in the global economy and in global equity and bond indices. Chart 9Japan Is The Outlier Chart 10Country Divergences Bottom Line: The yield curve is an effective indicator for equity/bond allocation in most developed countries from a long-run perspective. Currently, yield curve-based signals from the U.S., Canada, Euro Area, Switzerland, the U.K. and Australia all still favor equities over bonds. Xiaoli Tang, Associate Vice President xiaoliT@bcaresearch.com

Highlights 0 To 3 Months: Extended net short positioning and the recent moderation in economic data suggest that Treasury yields are ripe for a near-term pullback. Investors who are able should consider tactically buying bonds on a 0-3 month horizon, but with a tight stop loss. 6 to 12 Months: We recommend that investors maintain below-benchmark portfolio duration on a 6-12 month horizon, consistent with our Two Stage Bond Bear Market framework. While the credit cycle is in its late stages, it is still too soon to reduce exposure to corporate bonds. We will pare exposure to corporate bonds once our TIPS breakeven inflation targets are met. Total Return Forecasts: Our simple framework for estimating total bond returns reveals that risk/reward arguments clearly favor below-benchmark portfolio duration on a 12-month horizon. Feature Chart 1Two Milestones The U.S. bond market reached one noteworthy milestone last week and is quickly closing in on another. The first milestone is that the 10-year Treasury yield decisively broke through the 3% level that had defined its most recent peak (Chart 1). The second milestone is that the market is now close to fully pricing-in the likely near-term path for Fed rate hikes. We noted in a recent report that the Fed's "gradual" rate hike path is quite clearly defined as one 25 basis point rate hike per quarter.1 This equates to 100 bps on our 12-month Fed Funds Discounter, which currently sits at 91 bps, just below this key level (Chart 1, bottom panel). We continue to see upside in Treasury yields on a cyclical horizon. Though tactically, the likelihood of a near-term pullback in yields has increased greatly during the past few days. In this week's report we outline the case for a near-term (0-3 month) pullback in Treasury yields, but also look ahead by introducing a simple framework investors can use to make total return forecasts for all different U.S. bond sectors. The Case For A Near-Term Pullback In addition to the fact that the market is closer to fully discounting the likely near-term path of rate hikes than it has been for some time, there are two other reasons to expect a near-term, temporary pullback in yields. The first is that the below-benchmark duration trade has become the consensus position in the market (Chart 2). Net speculative short positions in 10-year Treasury futures have rarely been greater, and since the financial crisis large net short positions have correlated quite strongly with a decline in the 10-year yield during the subsequent three months. Similarly, positions reported in the JP Morgan Duration Survey are firmly in "net short" territory for both the "all clients" and "active clients" surveys. The Marketvane survey of bond sentiment has also turned bearish for only the fourth time since 2010. Each of the other three times has coincided with a near-term drop in yields. Chart 2Bond Market Looks Oversold But positioning alone would not be enough to convince us that yields might decline in the near-term. Investors also need a catalyst. An excuse to take profits on large net short positions that have been working well. That catalyst is typically a period of worse-than-expected economic data. To judge the trend in economic data relative to expectations we turn to the Economic Surprise Index. Chart 3Economic Surprise Index In a report from last year we demonstrated that if the Economic Surprise Index ends a month below (above) the zero line, it is very likely that Treasury yields fell (rose) during that month.2 Also, we know that the surprise index is mean reverting by its very nature. A long period of positive (negative) data surprises will certainly be followed an upward (downward) revision to investors' economic expectations. Eventually expectations become so elevated (depressed) that they become impossible to surpass (disappoint). The index will then start to mean revert. In that same report from last year we also introduced a simple auto-regressive model of the surprise index, designed to capture its average speed of mean reversion. Based on that model, which is purely a function of the index's own lags, we would expect the surprise index to dip slightly into negative territory in one month's time (Chart 3). Though given the large amount of uncertainty in the model, a fairer assessment would be that it is no longer a given that the surprise index will remain above the zero line in the near-term. Bottom Line: Extended net short positioning and the recent moderation in economic data suggest that Treasury yields are ripe for a near-term pullback. Investors who are able should consider tactically buying bonds on a 0-3 month horizon, but with a tight stop loss. Less nimble investors are better off riding out any potential near-term volatility and maintaining below-benchmark portfolio duration on a 6-12 month horizon. The Cyclical Picture Is Unchanged On a 6-12 month investment horizon, we are sticking with the playbook of our Two-Stage Bond Bear Market.3 The first stage is characterized by the re-anchoring of inflation expectations, and here, long-maturity TIPS breakeven inflation rates are still slightly below our target range of 2.3% to 2.5% (Chart 4). We also think bond investors should maintain an overweight allocation to spread product, though the time to trim exposure is approaching. Because the Fed's support for credit markets will weaken as inflation pressures mount, we will start reducing exposure to spread product once both the 10-year and 5-year/5-year forward TIPS breakeven inflation rates are within our target 2.3% to 2.5% band. The intuition that the credit cycle is long in the tooth is further supported by the fact that the 2/10 Treasury curve is close to 50 bps (Chart 4, bottom panel). In a recent report we showed that while corporate bond excess returns relative to Treasuries usually remain positive until the yield curve inverts, they decline dramatically once the slope dips below 50 bps.4 Valuation also remains tight in the corporate bond market. While investment grade corporate bond spreads have widened in recent months, the junk spread is still close to its post-crisis low, as is the differential between the junk and investment grade spread (Chart 5). Chart 4Inflation Compensation Chart 5Flirting With The Lows The recent widening of investment grade corporate spreads appears to simply reflect a reversion to more reasonable valuation levels, after they had been extremely expensive at the start of the year. Chart 6 shows the 12-month breakeven spread for each investment grade credit tier. We look at the breakeven spread - defined as the spread widening required to lose money versus Treasuries on a 12-month horizon - in order to adjust for the changing duration of the index over time. Chart 6 also shows the breakeven spread as a percentile rank relative to history. In other words, it shows the percentage of time that the breakeven spread has been lower in the past. Notice that earlier in the year investment grade corporate spreads had been approaching all-time expensive levels. They are now closer to the 25th percentile, much more in line with similar spreads for the High-Yield credit tiers (Chart 7). Chart 6Investment Grade Breakeven Spreads Chart 7High-Yield Breakeven Spreads There is no longer a risk-adjusted opportunity in high-yield corporate bonds relative to investment grade. Bottom Line: We recommend that investors maintain below-benchmark portfolio duration on a 6-12 month horizon, consistent with our Two Stage Bond Bear Market framework. While the credit cycle is in its late stages, it is still too soon to reduce exposure to corporate bonds. We will pare exposure to corporate bonds once our TIPS breakeven inflation targets are met. A Simple Framework For Forecasting Total Returns In a recent report we observed that, using a 12-month investment horizon, the difference between market expectations for the change in the federal funds rate and the actual change in the federal funds rate closely tracks the price return from the Bloomberg Barclays Treasury index.5 With that in mind, this week we extend that analysis to develop a simple framework for forecasting bond total returns. The framework relies on the fact that the "12-month rate hike surprise" described above is correlated with the 12-month change in Treasury yields. The Appendix to this report shows the historical correlation between the 12-month rate hike surprise and the 12-month change in several different par-coupon Treasury yields. Unsurprisingly, the correlation is very strong for short maturity yields, and gradually weakens as we move further out the curve. This is important because it means that the total return forecasts we generate from this exercise will be more accurate for bond sectors with low duration than for those with high duration. Table 1 shows the total return forecasts we generated for the Bloomberg Barclays Treasury Master Index and for several of its maturity buckets. The results are presented in such a way that readers can impose their own forecasts for the number of Fed rate hikes that will occur during the next 12 months, and then map that forecast to a reasonable expectation for Treasury total returns. Table 1Treasury Index Total Return Forecasts For example, in a scenario where the Fed lifts rates four times (100 bps) during the next year, given current market pricing the rate hike surprise will be modestly negative.6 Using the historical correlations shown in the Appendix, we map that rate hike surprise to changes in the par-coupon Treasury curve and then use the duration and convexity attributes of each individual index to determine how that shift in the Treasury curve will impact index returns. In the scenario described above we would expect the Treasury Master Index to return +2.13% during the next year. While this is a slightly positive number, it is close enough to zero that it does not provide much insulation from changes in long-dated yields that are unrelated to the near-term path for rate hikes. Further, in the four rate hike scenario, investors moving from the Treasury Master Index to the 1-3 year index need only sacrifice 12 bps of expected return to reduce their duration risk by a factor of three. Such a risk/reward trade-off clearly favors a below-benchmark duration stance on a 12-month investment horizon. Table 2 repeats the same exercise but for the major spread sectors of the U.S. bond market. To estimate spread sector total returns we need to forecast both the shift in the Treasury curve and whether spreads will widen, tighten or remain constant. Specifically, we assume that spreads either widen or tighten by the standard deviation of annual spread changes for each index, calculated using a post-crisis interval. Table 2Spread Product Total Return Forecasts The results show that, in a four rate hike scenario, we should expect 12-month investment grade corporate bond total returns of approximately 3.4%, assuming also that spreads stay flat. In a scenario where the average index spread widens by 42 bps, we should expect total returns of only 1%. Bottom Line: Our simple framework for estimating total bond returns reveals that risk/reward arguments clearly favor below-benchmark portfolio duration on a 12-month horizon. Spread product returns should continue to beat Treasuries for the time being, but the window for outperformance is starting to close. Ryan Swift, Vice President U.S. Bond Strategy rswift@bcaresearch.com Appendix Chart 8Change In 1-Year Yield Vs. 12-Month ##br## Fed Funds Rate Surprise Chart 9Change In 2-Year Yield Vs. 12-Month ##br## Fed Funds Rate Surprise Chart 10Change In 3-Year Yield Vs. 12-Month ##br##Fed Funds Rate Surprise Chart 11Change In 5-Year Yield Vs.12-Month ##br##Fed Funds Rate Surprise Chart 12Change In 7-Year Yield Vs. 12-Month ##br##Fed Funds Rate Surprise Chart 13Change In 10-Year Yield Vs. 12-Month ##br##Fed Funds Rate Surprise Chart 14Change In 30-Year Yield Vs. 12-Month ##br## Fed Funds Rate Surprise 1 Please see U.S. Bond Strategy Portfolio Allocation Summary, "Coming To Grips With Gradualism", dated May 8, 2018, available at usbs.bcaresearch.com 2 Please see U.S. Bond Strategy Weekly Report, "How Much Higher For Yields?", dated October 31, 2017, available at usbs.bcaresearch.com 3 Please see U.S. Bond Strategy Weekly Report, "A Signal From Gold?", dated May 1, 2018, available at usbs.bcaresearch.com 4 Please see U.S. Bond Strategy Weekly Report, "As Good As It Gets For Corporate Debt", dated April 24, 2018, available at usbs.bcaresearch.com 5 Please see U.S. Bond Strategy Weekly Report, "Back To Basics", dated April 17, 2018, available at usbs.bcaresearch.com 6 The 12-month rate hike surprise is defined as the 12-month Fed Funds Discounter less the actual change in the fed funds rate during the following 12 months. Fixed Income Sector Performance Recommended Portfolio Specification

Informe especial

Highlights Butterfly Trades: Duration-neutral butterfly trades are the best way to gain pure exposure to changes in the slope of the yield curve while remaining insulated from parallel shocks. Yield Curve Models: In this report we present models for each different butterfly spread combination across the entire Treasury curve. The models allow us to pinpoint the most attractively valued parts of the yield curve at any given point in time. We also demonstrate how trading rules based on our valuation models have delivered excellent investment results. Current Curve Valuation: Our models show that the most attractively valued butterfly spread at the moment is a position long the 7-year bullet and short the 1/20 barbell. We recommend closing our current position long the 5-year bullet and short the 2/10 barbell, and shifting into the 7-year over 1/20. Feature Last summer we published a Special Report that explained why duration-neutral butterfly trades are the best way to gain exposure to changes in the slope of the yield curve.1 That report focused on the 2/5/10 butterfly spread, which is defined as the spread between the 5-year Treasury note and a barbell consisting of the 2-year and 10-year notes. For this method to work the 2-year and 10-year notes must be weighted so that the dollar duration (DV01) of the 2/10 barbell matches the DV01 of the 5-year bullet.2 Chart 1Butterfly Strategy Valuation The report demonstrated how, when using the above weighting scheme, a long position in the 5-year bullet versus a short position in the 2/10 barbell allows investors to profit from a steepening of the 2/10 Treasury slope while remaining insulated from small parallel yield curve shocks. Similarly, we showed that investors who want to gain exposure to 2/10 curve flattening should go long the 2/10 barbell and short the 5-year bullet. The report also presented a fair value model for the 2/5/10 butterfly spread based on the 2/10 slope. The model allows us to incorporate initial valuation into our yield curve trading framework. For example, while the 5-year bullet will tend to outperform the 2/10 barbell when the 2/10 slope is steepening, it will require very little 2/10 steepening for it to outperform when the 5-year appears cheap on our model. More 2/10 steepening is required when the 5-year is initially expensive. In this follow-up Special Report we extend the above modeling framework to all different segments of the yield curve. The results of our analysis, shown in Chart 1, allow us to quickly scan the entire Treasury curve and identify which butterfly combinations are most attractively valued. We can then consider the message from our valuation models alongside our macro view of how the slope of the yield curve will evolve. These two factors together will suggest appropriate butterfly trades to implement. This Special Report proceeds in three sections. The first section provides a quick re-cap of the theory of butterfly trades with a focus on the importance of valuing butterfly spreads relative to the slope. The second section explains the process we followed to extend our 2/5/10 butterfly model to the rest of the yield curve. The final section presents the results of two trading rules based on the read-out from our yield curve models. Butterfly Theory Revisited: The Importance Of Valuation In our report from last year we showed that, because both the bullet and barbell have the same DV01, a position long one and short the other is immune from small parallel yield curve shifts. However, because the longest maturity bond contributes more DV01 to the barbell than the short maturity bond, the barbell will underperform (outperform) the bullet when the curve steepens (flattens). This dynamic also means that the butterfly spread - defined as the bullet yield over the barbell yield - is positively correlated with the slope of the curve (Chart 2). The logic of this relationship depends on the fact that the yield curve tends to mean revert over time. A steep yield curve implies that it is more likely to flatten in the future. This means that when the curve is steep investors will demand greater compensation to enter trades that profit from further steepening. The bullet yield will therefore be bid up relative to the barbell. This is the relationship we exploit to create our yield curve models. Chart 2The Butterfly Spread And Slope Are Positively Correlated Trade Performance When The Butterfly Spread Is At Fair Value For example, let's consider the 2/5/10 butterfly spread once more. Our analysis shows that the butterfly spread is fairly valued when it is 0.14 times the slope of the 2/10 curve. The "first scenario" in Table 1 shows hypothetical returns to a position that is long the 5-year bullet and short the 2/10 barbell in four different yield curve scenarios. All four scenarios assume that the 2/5/10 butterfly spread is always fairly valued relative to the 2/10 slope (i.e. it is equal to 0.14 multiplied by the 2/10 slope). Table 1Hypothetical Butterfly Trade Performance Notice that the bullet outperforms the barbell in both scenarios where the 2/10 slope steepens and underperforms in both scenarios where the 2/10 slope flattens. It does not matter whether yields move higher or lower, only changes to the slope of the curve impact returns. Trade Performance When The Butterfly Spread Deviates From Fair Value Next, let's consider the "second scenario" shown in Table 1. Here we assume that the butterfly spread is initially different from its model-implied fair value and then reverts to fair value by the end of the investment horizon. Now, in the bear-steepening scenario the 5-year bullet actually underperforms the 2/10 barbell even though the yield curve steepens. This is because the 5-year bullet is initially expensive relative to the barbell. Notice that the 2/5/10 butterfly spread is initially only 4 bps. A fairly valued butterfly spread would have been 7 bps (0.14 * 50 bps). The point of this analysis is to demonstrate the importance of initial valuation. When the butterfly spread is initially below fair value, more curve steepening is necessary for the bullet to outperform the barbell. Similarly, the bottom half of Table 1 shows that when the butterfly spread is initially above fair value, more curve flattening is required for the barbell to outperform. Modeling The Entire Curve With that in mind, we decided to extend our simple modeling framework to every segment of the yield curve. Using par-coupon bond yields from the Federal Reserve we considered all possible butterfly combinations consisting of 1-year, 2-year, 3-year, 5-year, 7-year, 10-year, 20-year and 30-year Treasury securities. We then estimated models of each possible butterfly spread (bullet over barbell) versus the slope between the two maturities used in the barbell. Chart 3 shows that the effectiveness of these models varies considerably between the different butterfly combinations. Chart 31-Factor Model Adjusted R2 To understand why some butterfly combinations are more easily modeled than others we need to rely on an alternative theory for the positive correlation between the butterfly spread and the slope. This theory relates to the fact that implied interest rate volatility is also highly correlated with the slope of the yield curve (Chart 4). The reasoning is fairly straightforward. Investors demand more compensation to bear duration risk when the economic outlook is more uncertain and interest rate volatility is higher. Greater volatility therefore causes investors to bid up the term premium embedded in long-maturity Treasury securities, leading to a steeper curve. The strong relationship between implied volatility and the slope of the yield curve is important because another property of DV01-matched butterfly trades is that the barbell always has greater convexity than the bullet. Elevated convexity is a desirable property when interest rate volatility is high, meaning that the side of the trade with lower convexity (the bullet) will need to offer a higher yield to entice investors when rate volatility is elevated and the yield curve is steep. The key point is that while the barbell has greater convexity than the bullet in every butterfly combination, some butterfly combinations have a greater difference in convexity between the bullet and barbell than others. Chart 5 shows that those butterfly combinations with a larger convexity difference between the bullet and barbell are more sensitive to changes in the slope of the curve, and are thus easier to model using our framework. Chart 4The Yield Curve ##br##And Volatility Chart 5Models Work Better When The ##br## Convexity Mismatch Is Large Finally, because there are strong theoretical arguments for why the butterfly spread should be positively correlated with both the slope of the yield curve and interest rate volatility, we tried adding the MOVE index of implied rate volatility as a second independent variable in each of our yield curve models. We found that this second variable only materially improved the accuracy of the models for a handful of butterfly combinations: the 5/7/10, 5/7/30, 1/20/30, 2/20/30, 3/20/30, 5/20/30, 7/20/30 and 10/20/30. We will rely on two-factor models (using both the curve slope and the MOVE index) for those combinations, while using one-factor models (with the slope only) for the others. One advantage of using a model based only on the slope is that we can reverse the model to ask the question: What change in the slope is necessary in order for the butterfly spread to be considered "fairly valued" at its current level? By framing the valuation question in this context it is easier to link the message from our valuation models to our macro view on the yield curve. For example, our 2/5/10 butterfly spread model shows that the 5-year bullet is currently 6 bps cheap. Alternatively, we can also state that the 2/5/10 butterfly spread is priced for 32 bps of 2/10 flattening during the next six months (Chart 6).3 If we expect the 2/10 slope to flatten by more than what is discounted we should enter the barbell over the bullet. Conversely, if we think the slope will flatten by less than what is discounted we should favor the bullet. Chart 62/5/10 Butterfly Spread Fair Value Model Chart 7 shows the current valuation for every butterfly combination in this manner. Rather than showing whether the bullet is cheap/expensive relative to the barbell (as in shown in Chart 1), it shows what change in the slope between the two components of the barbell is currently being discounted by the butterfly spread. We omit the butterfly combinations that are modeled using both the slope and volatility from this exercise. Chart 7Discounted Slope Change During Next Six Months (BPs) Performance Tests We performed two tests to see whether our suite of yield curve models adds value to the investment process. Test #1 First, we considered each butterfly combination individually and tested the following trading rule: When the bullet is more than 0.5 standard deviations cheap on our model, we go long the bullet and short the barbell. When the barbell is more than 0.5 standard deviations cheap on our model, we go long the barbell and short the bullet. If nether the bullet nor the barbell is more than 0.5 standard deviations cheap we take no position. The trades are re-balanced daily and tested on a horizon from 1988 to the present. The results of this first test are shown in Chart 8. Here we see the annualized excess returns earned from each butterfly combination over the course of the testing horizon. In Chart 9 we also show the average number of times per year that the above trading rule would have recommended switching between the bullet, barbell and taking no position. Chart 10 shows the average annualized excess return divided by the average number of annual position changes. Chart 8Trading Rule Annualized Excess Returns Since April 1988 (BPs) Chart 9Average Number Of Trades Per Year Chart 10Excess Return Per Trade (BPs) While the test results are encouraging insofar as every combination delivers positive excess returns, we note that due to limits in the amount of historical data at our disposal, most of the back-test is performed in sample. Although our robustness checks suggest that the regression coefficients are fairly stable through time, so we expect the results to be replicable going forward. Chart 11Excess Returns Versus Model Fit We also observe that the performance is not equally distributed amongst the different curve models. In fact, we notice that the models with the best fit - and hence largest convexity mismatches between the bullet and barbell - deliver better results than models with worse fit (Chart 11). This is not very surprising, but it does reinforce that we should put more weight on the message from the valuation models with greater convexity mismatches than on those with smaller mismatches. Test #2 In practice, we would not recommend trying to implement every butterfly trade that appears cheap according to our models. Rather, the real power of our modeling framework is that we can choose the most attractive segment of the yield curve and implement that trade only - assuming it synchs up with our macro view of the yield curve. In our second performance test we did just that. Each month we chose the most attractively valued yield curve trade based on our models and implemented only that trade. Chart 12 shows that not only does that method deliver excellent excess returns over time, it also outperforms a benchmark where we take the average of all yield curve trades recommended by our models. Chart 12Test #2 Results At present, the most attractive butterfly trade according to our models is the 7-year bullet over the 1/20 barbell. This trade is directionally similar to our currently recommended position long the 5-year bullet over the 2/10 barbell, in that both will benefit from curve steepening (or less curve flattening than is currently priced). Given the more attractive value in the 7-year over 1/20 combination, we recommended investors shift their yield curve allocation away from the 2/5/10 butterfly to favor the 7-year bullet over the 1/20 barbell. Alex Wang, CFA, Senior Analyst alexw@bcaresearch.com Ryan Swift, Vice President U.S. Bond Strategy rswift@bcaresearch.com 1 Please see U.S. Bond Strategy Special Report, "Bullets, Barbells And Butterflies", dated July 25, 2017, available at usbs.bcaresearch.com 2 The dollar duration (DV01) is the dollar value of a basis point. It measures the dollar change in the price of a given bond assuming a one basis point change in yield. It is calculated as the bond's duration times its price, divided by 104. 3 We assume an investment horizon of 6 months, a length of time that approximates the average length of time it takes for the butterfly spread to revert to our model's fair value.

Highlights Chart 1Interest Rate Expectations Last week the Federal Reserve made some necessary tweaks to the language in its statement. Namely, with the year-over-year core PCE deflator now up to 1.88%, the Fed was forced to upgrade its assessment of inflation and note that it has "moved close" to the 2 percent target. To assuage concern that such a change might lead to a quicker pace of rate hikes, the statement also emphasized that the inflation target is "symmetric" and noted that its policy of "gradual increases in the federal funds rate" will continue. While the recent increase in inflation is not sufficient to nudge the Fed away from "gradualism", the more important observation is that yields are still not high enough to discount the Fed's gradual approach (Chart 1). The Fed has tightened policy once per quarter since December 2016, tapering asset purchases in place of a rate hike in September 2017. It should be obvious that, absent an economic shock, one rate hike per quarter is the Fed's definition of "gradual". And yet, the market is still priced for barely more than two hikes for the balance of 2018, and not even two rate hikes for all of 2019! Maintain a below-benchmark duration stance until the market comes to grips with the Fed's gradualism. Feature Investment Grade: Overweight Chart 2Investment Grade Market Overview Investment grade corporate bonds outperformed the duration-equivalent Treasury index by 4 basis points in April, bringing year-to-date excess returns up to -77 bps. The Corporate index option-adjusted spread tightened somewhat in the first half of April, but widened anew during the past couple of weeks and recently made a new high for the year. Despite this sell-off, valuation remains expensive for investment grade corporates. The 12-month breakeven spread for an A-rated bond has only been tighter 27% of the time since 1989 (Chart 2). The same measure for a Baa-rated bond has only been tighter 28% of the time. We are preparing to cyclically scale back our corporate bond exposure, and will start the process once TIPS breakeven inflation rates reach our target range, signaling that monetary conditions are sufficiently restrictive. Our target range is 2.3% to 2.5% for both the 10-year and 5-year/5-year forward TIPS breakeven inflation rates. Those rates currently sit at 2.16% and 2.23%, respectively. In a recent report we noted that corporate bond excess returns fall sharply once the 2/10 Treasury yield curve flattens to below 50 bps, though they typically remain positive until the curve actually inverts.1 The 2/10 Treasury slope currently sits at 45 bps. That same report also notes that while the outlook for corporate revenue growth is strong, rising employee compensation costs will likely soon put a dent in profit margins and cause gross leverage to resume its uptrend (panel 4). This will apply further widening pressure to spreads later in the year. Table 3ACorporate Sector Relative Valuation And Recommended Allocation* Table 3BCorporate Sector Risk Vs. Reward* High-Yield: Overweight Chart 3High-Yield Market Overview High-Yield outperformed the duration-equivalent Treasury index by 121 basis points in April, bringing year-to-date excess returns up to 102 bps. The average index option-adjusted spread tightened 16 bps on the month, and currently sits at 343 bps. The 12-month trailing speculative grade default rate moved higher for the second consecutive month, hitting 3.92% in March. Moody's baseline forecast still calls for it to fall to 1.7% by March of next year. Based on Moody's default rate projection and our estimate of the recovery rate, we forecast High-Yield default losses of 0.85% for the next 12 months. This translates to a 12-month excess return of 257 bps for the High-Yield index versus Treasuries, assuming an unchanged junk spread (Chart 3). One hundred basis points of spread widening would lead to an excess return of -140 bps during this time horizon, and 100 bps of spread tightening would lead to an excess return of +654 bps. However, such a large spread tightening is almost certainly over-optimistic. As inflation continues to rise and the Fed applies the brakes, a floor will likely remain under the VIX index of implied equity volatility and this will prevent junk spreads from recovering their cyclical lows (top panel). This would be consistent with behavior typically seen late in the cycle, once the 2/10 Treasury slope flattens to below 50 bps.2 MBS: Neutral Chart 4MBS Market Overview Mortgage-Backed Securities outperformed the duration-equivalent Treasury index by 18 basis points in April, bringing year-to-date excess returns up to -22 bps. The conventional 30-year zero-volatility MBS spread tightened 4 bps on the month, split between a 1 bp tightening of the option-adjusted spread (OAS) and a 3 bps decline in the compensation for prepayment risk (option cost). While mortgages are no longer excessively cheap compared to corporate credit (Chart 4), we still see limited potential for spread widening during the next 6-12 months. Rising interest rates should serve to limit mortgage refinancing, and muted refis are closely linked to tight MBS spreads (bottom panel). We also view extension risk as relatively limited for conventional 30-year MBS. Using a model of excess MBS returns that we introduced in February, we estimate that despite the 25 bps increase in duration-matched Treasury yields that occurred in April, extension risk trimmed only 2 bps off monthly excess returns.3 Our excess return Bond Map also shows that conventional 30-year MBS require far fewer days of average spread tightening to earn 100 bps of excess return than most other Aaa-rated structured products (Non-Agency Aaa-rated CMBS being the exception), although they are also more likely to deliver losses. But given the benign refinancing back-drop, we remain reasonably positive on the sector.4 Government-Related: Underweight Chart 5Government-Related Market Overview The Government-Related index underperformed the duration-equivalent Treasury index by 9 basis points in April, dragging year-to-date excess returns down to -7 bps. Sovereign debt underperformed the Treasury benchmark by 37 bps on the month, while Foreign Agencies underperformed by 15 bps and Domestic Agencies underperformed by 14 bps. Local Authorities delivered 14 bps of outperformance and Supranationals bested duration-equivalent Treasuries by 5 bps. Dollar strength hurt the performance of Sovereign debt last month, and relative valuation continues to show that Sovereigns are expensive relative to similarly-rated U.S. corporate bonds (Chart 5). We remain underweight USD-denominated Sovereign debt. Conversely, Foreign Agencies and Local Authorities continue to offer very attractive spreads, especially considering the duration and spread volatility characteristics of those sectors. Our excess return Bond Map shows that both sectors offer a superior risk/reward trade-off than the Barclays Aggregate and almost all of its components.5 The large presence of state-owned energy companies in the Foreign Agency sector means it should also benefit from higher oil prices in the coming months. Municipal Bonds: Underweight Chart 6Municipal Market Overview Municipal bonds outperformed the duration-equivalent Treasury index by 65 basis points in April, bringing year-to-date excess returns up to 94 bps (before adjusting for the tax advantage). The average Aaa-rated Municipal/Treasury yield ratio declined 2% in April as fund inflows returned to the sector (Chart 6). Persistently low visible supply is also contributing to the strong technical environment for yield ratios. The tax-adjusted yield for a 10-year municipal bond is now about 46 bps below the yield offered by an equivalent-duration corporate bond. As we have shown in prior research, investors typically get an opportunity to shift out of corporates and into munis at a positive spread differential before the end of the cycle.6 We will await this more attractive entry point before aggressively shifting our allocation in favor of munis. In a recent report we noted that state and local governments are still working to repair their budgets.7 More states enacted tax increases than decreases in fiscal year 2018 and the projected nominal budget increase across all states is a paltry 2.3%. Fortunately, our Municipal Health Monitor indicates that the hard work is paying off, and suggests that ratings upgrades should continue to outpace downgrades for the time being (bottom panel). Treasury Curve: Favor 5-Year Bullet Over 2/10 Barbell Chart 7Treasury Yield Curve Overview The Treasury curve rose considerably in April, steepening a touch out to the 5-year maturity point and flattening thereafter. The 2/10 Treasury slope flattened 1 basis point in April, and currently sits at 45 bps. The 5/30 slope flattened 9 bps on the month and currently sits at 34 bps. The trade-off between the pace of Fed rate hikes on the one hand, and the re-anchoring of long-dated TIPS breakeven inflation rates on the other will dictate the slope of the yield curve during the next six months. With the 10-year TIPS breakeven inflation rate at 2.16%, it remains slightly below the range of 2.3% to 2.5% that is consistent with well-anchored inflation expectations. It will be difficult for the yield curve to flatten aggressively until that target is met. After that, curve flattening becomes much more likely. We continue to recommend a position in the 5-year bullet versus the duration-matched 2/10 barbell, primarily due to extremely attractive starting valuation. Our model suggests that the 2/5/10 butterfly spread is priced for 17 bps of 2/10 curve flattening during the next six months (Chart 7). With long-maturity TIPS breakevens still below target, we think that is too high a bar. TIPS: Overweight Chart 8TIPS Market Overview TIPS outperformed the duration-equivalent nominal Treasury index by 93 basis points in April, bringing year-to-date excess returns up to 161 bps. The 10-year TIPS breakeven inflation rate rose 12 bps on the month and currently sits at 2.16%. The 5-year/5-year forward TIPS breakeven inflation rate increased 6 bps and currently sits at 2.23%. As we explained in a recent report, we view the first stage of the bond bear market as being driven by the re-anchoring of inflation expectations.8 We will consider inflation expectations well anchored when both the 10-year and 5-year/5-year forward TIPS breakeven inflation rates are in a range between 2.3% and 2.5%, where they were the last time that inflation was well anchored around the Fed's target. If the recent trend in inflation continues, then this re-anchoring will occur relatively soon. The annualized 6-month rate of change in the trimmed mean PCE deflator has already returned to the Fed's target, and the annual rate of change jumped from 1.71% to 1.77% in March (Chart 8). Pipeline measures of inflation pressure also continue to strengthen. Our Pipeline Inflation Indicator is in a strong uptrend and the prices paid component of the ISM manufacturing survey is closing in on 80, a level last seen in 2011 (panel 4). ABS: Neutral Chart 9ABS Market Overview Asset-Backed Securities outperformed the duration-equivalent Treasury index by 13 basis points in April, bringing year-to-date excess returns up to -6 bps. The index option-adjusted spread for Aaa-rated ABS narrowed 4 bps on the month and now stands at 40 bps, 7 bps above its pre-crisis low. Our recently introduced excess return Bond Map shows that both Aaa-rated credit card and Aaa-rated auto loan ABS exhibit lower risk and less potential for gains than the Barclays Aggregate index.9 It also confirms that credit card ABS are somewhat more attractive than auto loan ABS, offering approximately the same potential for excess return with less risk. Compared to other fixed income sectors, Aaa-rated ABS offer greater potential return and higher risk than Agency CMBS, Domestic Agencies and Supranationals. But the ABS sector also has a less attractive risk/reward profile than the Foreign Agency, Local Authority and Investment grade corporate sectors. Fundamentally, while consumer delinquencies remain low, they are heading higher alongside a rising household debt service coverage ratio (Chart 9). The persistent (though mild) deterioration in credit quality causes us to maintain a neutral allocation to the sector, despite reasonably attractive valuations. Non-Agency CMBS: Underweight Chart 10CMBS Market Overview Non-Agency Commercial Mortgage-Backed Securities outperformed the duration-equivalent Treasury index by 60 basis points in April, bringing year-to-date excess returns up to 71 bps. The index option-adjusted spread for non-agency Aaa-rated CMBS tightened 4 bps on the month and currently sits at 69 bps, close to one standard deviation below its pre-crisis mean. Our excess return Bond Map shows that Aaa-rated non-Agency CMBS offer greater potential reward, but also greater risk, than the majority of other high-rated spread products. The exception is conventional 30-year Agency MBS, which offer a less attractive risk/reward trade-off.10 That being said, the fundamental picture for commercial real estate is less appealing than on the residential side. CMBS spreads continue to diverge from commercial property prices (Chart 10). Agency CMBS: Overweight Agency CMBS outperformed the duration-equivalent Treasury index by 26 basis points in April, bringing year-to-date excess returns up to 12 bps. The index option-adjusted spread was flat on the month and currently sits at 47 bps. According to our Bond Map, Agency CMBS offer greater potential excess return and less risk than both the Supranational and Domestic Agency sectors. We continue to view the Agency CMBS space as an attractive low-risk spread sector. Treasury Valuation Chart 11Treasury Fair Value Models The current reading from our 2-factor Treasury model (based on Global PMI and dollar sentiment) pegs fair value for the 10-year Treasury yield at 2.70%. The drop in the model's fair value stems from a decline in the global PMI to 53.5 from a recent peak of 54.5. While global growth has undoubtedly lost momentum in recent months, we also suspect that our 2-factor model is finally breaking down. The 2-factor model does not contain a variable to capture the degree of resource utilization in the economy. Logically, as slack dissipates in the economy and inflationary pressures mount, then the same level of global growth should be associated with a higher Treasury yield, all else equal. This means that at some point, as we approach the end of the cycle, the model will break down and consistently produce fair value readings that are too low. We suspect that we may be reaching this point. When we augment our model with an additional variable to measure the degree of resource utilization, in this case the employment-to-population ratio, we find that the new model projects a fair value of 3.28% for the 10-year Treasury yield (Chart 11). This 3-factor model would not have worked as well as our 2-factor model during the zero-lower bound period, as can be seen by looking at how rolling regression betas from each of the three variables moved sharply following the recession (bottom three panels). However, as we move further away from the zero-lower bound we expect the regression coefficients to return to pre-crisis levels, meaning that it will be important to monitor both trends in global growth and the amount of resource slack in the economy. Ryan Swift, Vice President U.S. Bond Strategy rswift@bcaresearch.com Jeremie Peloso, Research Analyst jeremiep@bcaresearch.com 1 Please see U.S. Bond Strategy Weekly Report, "As Good As It Gets For Corporate Debt", dated April 24, 2018, available at usbs.bcaresearch.com 2 Please see U.S. Bond Strategy Weekly Report, "As Good As It Gets For Corporate Debt", dated April 24, 2018, available at usbs.bcaresearch.com 3 Please see U.S. Bond Strategy Weekly Report, "On The MOVE", dated February 13, 2018, available at usbs.bcaresearch.com 4 For details on the Bond Map please see U.S. Bond Strategy Weekly Report, "As Good As It Gets For Corporate Debt", dated April 24, 2018, available at usbs.bcaresearch.com 5 Please see U.S. Bond Strategy Weekly Report, "As Good As It Gets For Corporate Debt", dated April 24, 2018, available at usbs.bcaresearch.com 6 Please see U.S. Bond Strategy Weekly Report, "Monetary Restraints", dated February 27, 2018, available at usbs.bcaresearch.com 7 Please see U.S. Bond Strategy Weekly Report, "Profiting From A Higher LIBOR", dated March 20, 2018, available at usbs.bcaresearch.com 8 Please see U.S. Bond Strategy Weekly Report, "A Signal From Gold?", dated May 1, 2018, available at usbs.bcaresearch.com 9 Please see U.S. Bond Strategy Weekly Report, "As Good As It Gets For Corporate Debt", dated April 24, 2018, available at usbs.bcaresearch.com 10 Please see U.S. Bond Strategy Weekly Report, "As Good As It Gets For Corporate Debt", dated April 24, 2018, available at usbs.bcaresearch.com Fixed Income Sector Performance Recommended Portfolio Specification Corporate Sector Relative Valuation And Recommended Allocation Total Return Comparison: 7-Year Bullet Versus 2-20 Barbell (6-Month Investment Horizon)

Highlights Does the 3% level on Treasuries matter to investors? The 2/10 yield curve is typically much steeper when global growth is strong and pro-growth policies are in place. The imperfect inter-relationship between labor market slack, wages and inflation. Feature In last week's report1 we noted that the risk of weakness in equity markets was elevated in the near term. Risks assets balked as the 10-year Treasury yield climbed above 3% early last week. However, easing tensions on the Korean peninsula and another stronger than expected batch of Q1 earnings reports boosted U.S. equity prices later in the week. We will provide a full update on the Q1 earnings season in next week's report. Investors are getting used to a seasonal dip in Q1 U.S. GDP data, and last Friday's release certainly fits the bill. A recent study by the staff at the Federal Reserve Bank of Cleveland2 suggests that the main culprits in this seasonal anomaly are in the private investment and government consumption components of GDP. Output in both categories slowed significantly in Q1 2018. Consumer spending growth exhibited the most significant slow-down, growing at only 1.1% compared to 4% in the prior quarter. But growth in investment spending on equipment also declined sharply, from 11.6% to 4.7%, as did growth in residential investment, from 12.8% to 0% (Chart 1). The latter is due to the sharply accelerating input costs (e.g. lumber prices) faced by homebuilders at the moment. Federal government spending slowed to a 1.7% rate in Q1 from 3.2% in Q4 2017. Chart 1GDP Growth Remains Below Average, But Above Fed's Long Run Target At 2.9% year-over-year in Q1 2018, real economic growth was above the Fed's view of potential GDP (1.8%) for the fifth consecutive quarter. Given the recent seasonal pattern and the substantial fiscal stimulus coming on stream, the Fed will likely see through the weaker Q1 growth data for the time being. Chart 2Watch The 2.3% To 2.5% Level On TIPS Breakevens BCA's view is that the 3% level on the 10-Year Treasury yield is not an impediment to higher equity prices. The 10-year yield and U.S. equity prices climbed together in the 1950s. The rise in yields in the '50s primarily reflected better economic growth rather than fears of inflation. The run-up in yields since the lows last year reflect both factors (Chart 2). Nonetheless, investors are concerned that higher yields will flip the positive correlation between bond yields and stock prices. Charts 3 and 4 shows the link between the level of both nominal (Chart 3) and real bond yields and equity prices. The implication is that the relationship between stock prices and bond yields tends to stay positive when the nominal bond yield is below 5%. Furthermore, the correlation between real yields and stock prices remains positive (Chart 4). Moreover, since 1980, a move from 2% to 3% on the 10-year Treasury yield has been accompanied by an average gain of 1.2% in the S&P 500, with a median move of 1.8%.3 On average, the S&P 500 posted a modest decline (24 bps) as the 10-year Treasury elevated from 3% to 4%, but the median return (98 bps) was still positive. Our July 2015 Special Report4 explored the impact of rates and inflation on equity prices. Historically, even the move from 4% to 5% on the 10-year is not an impediment to higher stock prices. Chart 3Stock To Bond Correlations Remain Positive With Nominal Yields Below 5% Chart 4Both Equities And Real Bond Yields Reflect Growth Bottom Line: BCA's stance is that the stock-to-bond ratio will climb this year. Our U.S. Bond Strategy team pegs fair value on the 10-year at 2.78%, but notes that the yield may peak this cycle at between 3.25% and 3.50%.5 BCA's base case remains that U.S. equities will not be subject to an over-aggressive Fed until at least mid-2019 and that increasing bond yields are not a threat. Yield Curve Dynamics Does BCA's stance on the yield curve change our upbeat view on risk assets beyond the next few months of caution?6 In March,7 we discussed 5 episodes in the past 35 years when global growth surged and fiscal, monetary and regulatory policies were aligned to boost the U.S. economy. The current episode of synchronized policy commenced in January 2016. Risk assets perform well when these policy tailwinds are in place, but these assets tend to struggle for 12 months after the tailwinds abate. Although global growth has peaked,8 we expect the era of pro-growth policies to end next year as the Fed raises rates into restrictive territory. BCA expects the 2/10 curve to remain around 50bps until the inflation breakevens are re-anchored between 2.3% and 2.5% as upward pressure on the short end from Fed rate hikes is offset by the upward thrust of the breakevens on the long end.9 The curve should resume its flattening trend after that, but will not invert this year. The 2/10 curve stands at 45 bps as of April 27, 2018. Chart 5 shows that the curve has spent very little time in the 0-50 range in the past 35 years when fiscal, monetary and regulatory factors were aligned and global growth was positive. A steeper curve (50 to 100 bps) developed alongside a pro-growth policy and solid global growth only once in the past 35 years, over 1983 and 1984, and never when the 2/10 curve was between 0 and 100 bps (not shown). Chart 5The 2/10 Curve Is Usually This Steep When Pro-Growth Policies Are In Place Bottom Line: The backdrop of accommodative fiscal and monetary policy, attended by easing regulatory policy and positive global growth, will continue to provide a tailwind for risk assets through next year. However, the 2/10 yield curve is typically much steeper when these policies are all aligned. Thus, investors should continue to favor equities over bonds and remain underweight duration over the cyclical horizon with a tactical cautious stance over the next few months. The Wage Puzzle Chart 6Economy At Full Employment, Theoretically The move higher in the 10-year Treasury yield to 3% for the first time since 2013 (and the 2-year Treasury to 2.5% for the first time since 2008) has diverted attention to the Fed and inflation. Core CPI is now at the Fed's 2% target and the market is concerned that inflation will shoot past 2% and quickly escalate to 3%. BCA's view is that inflation will remain at the Fed's target this year, but drift above that goal in 2019, which would elicit a more aggressive response from the central bank. Tighter monetary policy will ultimately end the expansion in early 2020.10 Until then, the markets will focus on the drivers of inflation, including wages. Our work11 notes that inflation is slow to turn higher in long expansions. The U.S. economy reached full employment in late 2016 (Chart 6). In short- and medium-length expansions, it takes only a few months before inflation turns up. However, in long expansions (1960s, 1980s, and 1990s) prices did not turn meaningfully higher until 26 months after the economy reached full employment. This suggests that a more significant hike in inflation - led by a tighter labor market - is close and supports the recent rise in Treasury yields. There is mixed evidence that view is warranted. Wage inflation has moved higher in recent months, but the link between wages and prices has weakened. Chart 7 shows that before 1985, the correlation between wage growth and prices was above 90%. Since 1984, the relationship has waned. The post-1985 correlation is just under 30%. BCA expects this weaker relationship to persist. Chart 7Link Between Wage Inflation And Consumer Inflation Changed After 1985 The disconnect between labor market tightness and wages has recently widened. Chart 8 shows several measures of wage pressures and labor market slack. Historically, less slack translates into higher wages, but the relationship in this cycle has been muted. Moreover, pay gains for workers who switch jobs are running well ahead of those who stay in their current positions and are either promoted or given merit raises (Chart 9). The gap between compensation gains of job switchers and job stayers tends to broaden as the business cycle ages and slack in the labor market shrinks. Chart 8A Wide Disconnect Between Labor Market Slack And Wage Gains Chart 9Job Switchers Seeing Better Raises Demographics and wage rigidity dynamics are also at play. Chart 10 shows that the labor force participation rate is headed lower due to demographics, but recent trends suggest there may be improvements in the coming years. BCA's view is that the participation rate will be flat in the next 12 months and move lower in the coming decade. Chart 10Decline In Labor Force Participation Is Mostly Demographics Wage inflation is an early career phenomenon. Recent research from the Federal Reserve Bank of New York12 shows that across all education cohorts, rapid real wage growth occurs early in a worker's career, with positive real wage growth ending in his/her forties. This is followed by a period of flat to declining real wages. By age 55, all education categories experience negative real wage growth, on average (Chart 11). Chart 11Wage Inflation Is An Early Career Phenomenon Wage rigidity in this cycle suggests that there will be an upward correction in labor compensation. Chart 12 shows that 14.5% of workers did not have wage increases in 2017. Moreover, 18.9% of hourly workers and 9.2% of non-hourly workers saw no increase in pay in the year ending in December 2017 (Chart 13, top panel.) The bottom panel of Chart 13 shows that more than 20% of workers with less than a high school education received no pay increases in the past year; only 10% of college-educated workers experienced the same end. It is important to note that on balance, measures of wage rigidity have increased over time and are not overly sensitive to the business cycle. Chart 12More Than 14% Of Workers Didn't See A Raise In 2017 Chart 13Wage Rigidity By Type Of Employee Bottom Line: BCA recommends that investors monitor a broad range of inflation indicators. Historical evidence suggests that when the labor market tightens, inflation eventually accelerates. However, wages do not always lead inflation at bottoms and maybe a lagging indicator in this cycle.13 In long economic cycles (1980s and 1990s), wage inflation was a lagging indicator. Most of these indicators show that inflation pressures are building, but only gradually. We expect the Fed to raise rates gradually in the next 12 months, but it may turn more aggressive in 2019 as pressures on inflation, driven in part by a tighter labor market, begin to mount. John Canally, CFA, Senior Vice President U.S. Investment Strategy johnc@bcaresearch.com 1 Please see BCA Research's U.S. Investment Strategy Weekly Report "Short-Term Caution Warranted," published April 23, 2018. Available at usis.bcaresearch.com. 2 https://www.clevelandfed.org/newsroom-and-events/publications/economic-commentary/2017-economic-commentaries/ec-201706-lingering-residual-seasonality-in-gdp-growth.aspx 3 Please see BCA Research's U.S. Investment Strategy Weekly Report "Yellen's Last Week," published February 5, 2018. Available at usis.bcaresearch.com. 4 Please see BCA Research's U.S. Investment Strategy Special Report, "Stock-To-Bond Correlation: When Will Good News Be Bad News?", published July 6, 2015. Available at usis.bcaresearch.com. 5 Please see BCA U.S. Investment Strategy Weekly Report, "It's Still All About Inflation", January 16, 2018. Available at usis.bcaresearch.com. 6 Please see BCA Research's U.S. Investment Strategy Weekly Report "Short-Term Caution Warranted," published April 23, 2018. Available at usis.bcaresearch.com. 7 Please see BCA U.S. Investment Strategy Weekly Report, "Policy Line Up", March 12, 2018. Available at usis.bcaresearch.com. 8 Please see BCA U.S. Investment Strategy Weekly Report, "Policy Peril?", April 9, 2018. Available at usis.bcaresearch.com. 9 Please see BCA U.S. Bond Strategy Weekly Report, "Back To Basics", April 17, 2018. Available at usbs.bcaresearch.com. 10 Please see BCA Research's Global Investment Strategy Weekly Report, "Q2 2018 Strategy Outlook: It's More Like 1998 Than 2000", published March 30 2018. Available at gis.bcaresearch.com. 11 Please see BCA Research's The Bank Credit Analyst Monthly Report, March 2017. Available at bca.bcaresearch.com. 12 FRBNY: Liberty Street Economics, "U.S. Real Wage Growth: Slowing Down With Age," September 28, 2016. 13 Please see BCA Research's The Bank Credit Analyst, September 2017. Available at bca.bcaresearch.com.

Highlights Corporate Bonds & The Yield Curve: Corporate bond excess returns fall sharply once the yield curve flattens to below 50 basis points, though they typically remain positive until the yield curve inverts. Interestingly, excess returns for equities relative to Treasuries exhibit the opposite pattern. Corporate Bonds & Leverage: The outlook for top-line corporate revenue growth is strong, but employee compensation costs will also rise this year. We are doubtful that corporate profit growth will keep pace with debt growth for the remainder of year, meaning that leverage is likely to rise. Rising leverage will be a signal to reduce exposure to corporate bonds. Bond Map: We perform a back-test to assess the effectiveness of the Bond Map framework for sector allocation that was introduced in last week's report. Feature It's been a while, but last week's bond market performance was reminiscent of an old fashioned risk-on phase. The 10-year Treasury yield reached its highest level since early 2014, causing a temporary halt in the yield curve's flattening trend. Spread product also responded to investor optimism, and returns from the investment grade corporate bond index now lag the duration-equivalent Treasury index by only 52 basis points year-to-date, up from a mid-March trough of -94 bps (Chart 1). High-Yield index returns also rebounded, and that index is now outpacing Treasuries by +150 bps so far this year. Chart 1Corporate Credit: Annual Excess Returns But for corporate bond investors, now is not the time for complacency. Out of the criteria we use to signal turns in the credit cycle, we are progressively checking more and more off our list.1 Spreads are already tight relative to history and corporate debt levels are already high. That much has been true for some time. Next up, we await a more restrictive monetary policy and a more severe slow-down in corporate profit growth to below the pace of corporate debt growth. Both of those conditions also need to be met before corporate defaults start to occur and spreads start to widen materially. In this week's report we consider each of those two conditions in turn, noting the triggers that will need to be hit for us to downgrade our current overweight allocation to corporate bonds. Condition 1: Restrictive Monetary Policy Chart 2Monetary Policy Not Yet Restrictive On the monetary policy front, we expect that monetary conditions will turn restrictive in the not-to-distant future (Chart 2). For the time being, long-maturity TIPS breakeven inflation rates are still below levels that are consistent with the Fed achieving its 2% inflation target. The 10-year TIPS breakeven inflation rate is currently 2.17% and the 5-year/5-year forward TIPS breakeven inflation rate is 2.24%. But once both of those rates reach a range between 2.3% and 2.5%, they will be consistent with well-anchored inflation expectations and the Fed will have one less reason to stay cautious. We will start paring exposure to corporate bonds once both the 10-year TIPS breakeven inflation rate and the 5-year/5-year forward TIPS breakeven inflation rate cross above the 2.3% threshold. The re-anchoring of inflation expectations will also impart further upside to nominal Treasury yields, and we therefore maintain our below-benchmark duration stance and continue to follow the road-map laid out in our February report detailing the two-stage Treasury bear market.2 Another traditional signal of restrictive monetary policy is a flat or inverted yield curve (Chart 2, panel 2). Intuitively, a very flat yield curve tells us that the market expects very few (if any) Fed rate hikes in the future. An inverted yield curve tells us that the market actually anticipates rate cuts. While the yield curve is not yet close to inverting, it is approaching levels that are consistent with much lower (and often negative) excess returns for both investment grade and high-yield corporate bonds, as is discussed below. A third indicator of the stance of monetary policy is simply the spread between the real federal funds rate and an estimate of its equilibrium level - the level consistent with neither an accommodative nor a restrictive policy stance (Chart 2, bottom panel). While the fact that the real fed funds rate is currently quite close to the popular Laubach-Williams estimate of its equilibrium level certainly reinforces our view that policy is almost restrictive, the large degree of uncertainty inherent in this sort of estimate leads us to prefer the market signals from the slope of the yield curve and TIPS breakeven inflation rates when forming an investment strategy. The Yield Curve And Corporate Bond Returns To assess the importance of the yield curve as a predictor of turns in the credit cycle, we split each cycle going back to the mid-1970s into regimes based on the yield curve slope. We then calculate excess returns during each phase for both investment grade and high-yield corporate bonds, as well as the stock-to-bond total return ratio. We use the 3/10 yield curve slope instead of the more often quoted 2/10 slope because it allows for the inclusion of more historical data. This decision did not materially impact the results of our analysis. Chart 3 shows how we divided each cycle into three phases: Chart 3Corporate Bond Performance And The Yield Curve Phase 1 runs from the end of the previous NBER-defined recession until the slope crosses below 50 bps. Phase 2 runs from the time that the slope crosses below 50 bps until it crosses below zero. Phase 3 runs from the time that the yield curve first inverts to the start of the next recession. Notice that we do not include recessionary periods in our analysis, usually the periods with the worst excess corporate bond returns. The results of our analysis are shown in Table 1, and the first obvious result is that corporate bond excess returns are much higher in Phase 1 than in Phase 2, although Phase 2 returns are usually still positive.3 Negative excess returns occur more often than not in Phase 3, after the yield curve has inverted. Table 1Risk Asset Performance In Different Yield Curve Regimes The biggest exception to the above observations is that Phase 2 High-Yield returns actually exceeded Phase 1 High-Yield returns in the 2001-07 cycle. In our view, this exception results from the fact that corporate profit growth was well above corporate debt growth in 2005, and did not really decline until 2007, shortly after the yield curve inverted. In contrast, Phase 2 returns were exceptionally weak in the prolonged period between 1994 and 2000. In this instance, corporate profit growth actually fell below corporate debt growth in 1998, well before the yield curve inverted in 2000. This reinforces that both the stance of monetary policy and the trend in corporate leverage matter for corporate bond returns. The latter is discussed in the next section of this report. Another interesting result shown in Table 1 is that the pattern of stock market excess returns over Treasuries is the mirror image of the pattern in corporate bond excess returns. The stock market tends to perform better in Phase 2 than in Phase 1, and often even performs well in Phase 3 after the yield curve has inverted. This means that multi-asset investors should consider paring exposure to corporate bonds relative to Treasuries before they think of reducing exposure to the stock market. Bottom Line: Restrictive monetary policy is one condition that must be met before we reduce exposure to corporate bonds in our recommended portfolio. The first indication of this will likely be the re-anchoring of long-maturity TIPS breakeven inflation rates in a range between 2.3% and 2.5%. We will start paring exposure to corporate bonds when that occurs. The slope of the yield curve is already at levels that are consistent with very low excess returns. Though we demonstrate that an inverted yield curve is historically linked to even lower returns. Conviction that the yield curve is about to invert will be another trigger to further reduce corporate bond exposure in the future. Condition 2: Rising Leverage The second condition that will cause us to take even more credit risk off the table is when gross leverage for the nonfinancial corporate sector - calculated as total debt over pre-tax profits - enters an uptrend. Chart 4 shows that periods of spread widening almost always coincide with rising gross leverage, or put differently, periods when the rate of debt growth exceeds the rate of profit growth. Profit growth has kept pace with debt growth during the past few quarters, causing leverage to flatten-off and allowing corporate spreads to narrow. Going forward, the outlook for top-line corporate revenue growth (a.k.a. net value added) remains favorable, owing to an ISM index that is well above the 50 boom/bust line and still climbing (Chart 5). But on the expense side of the ledger, employee compensation - the largest expense for the corporate sector - is also poised to increase in the months ahead. Unit labor costs jumped sharply in the fourth quarter of 2017 (Chart 5, panel 2), and with the unemployment rate at 4.1% and the economy still adding jobs at a robust pace - nonfarm payrolls have increased by an average of +211k during the past six months - a further acceleration in employee compensation is likely this year. Chart 4Corporate Leverage Has Flattened Off Chart 5Wage Growth Will Hamper Profits The key question then becomes whether corporations will be able to offset rising compensation costs by lifting prices. This remains uncertain, but early indications are not favorable. Our Profit Margin Proxy - the growth in the corporate sector's implicit selling price deflator relative to the growth in unit labor costs - does an excellent job tracking pre-tax profits (Chart 5, bottom panel). At the moment, this indicator signals that profit growth will moderate in the coming quarters. Bottom Line: The outlook for top-line corporate revenue growth is strong, but employee compensation costs will also rise this year. We are doubtful that corporate profit growth will keep pace with debt growth for the remainder of year. A decline in the rate of profit growth to below the rate of corporate debt growth will be another signal to reduce exposure to corporate bonds. The Bond Map Back-Test Last week we introduced the BCA Bond Map, a graphical depiction of the current risk/reward trade-off on offer from the different sectors of the U.S. bond market.4 To summarize, in our excess return Bond Map we plot the number of days of average spread tightening required for each sector to earn 100 bps of excess return on the vertical axis, and the number of days of average spread widening required for each sector to lose 100 bps versus Treasuries on the horizontal axis (Chart 6). The diagram is then split into four quadrants based on the location of the Bloomberg Barclays Aggregate index, which we have modified to also include junk bonds. The upper-left quadrant, which we label "Best Bets", contains those sectors that offer less risk and greater excess return potential than the benchmark. The upper-right quadrant, which we label "Exciting", contains those sectors that offer higher risk than the benchmark but also higher potential returns. The bottom-left ("Boring") quadrant contains those sectors with low risk of losses but also low probability of gains, and the bottom-right ("Avoid") quadrant contains those sectors with higher risk than the benchmark and lower expected returns. As can be seen in Chart 6, the current excess return Bond Map shows that Local Authorities, Foreign Agencies and investment grade corporate bonds offer the best combination of risk and expected return. No sectors currently plot in the "Avoid" quadrant. Chart 6Excess Return Bond Map (As Of April 20, 2018) This week, we publish the results of a back-test of the real time performance of our Bond Map. To do this we produced the Bond Map at the beginning of each calendar year starting in 2006 and then calculated average excess returns for each quadrant. For example, if three sectors were in the "Best Bets" quadrant at the beginning of the year, we calculated 12-month excess returns for each sector and then averaged them together to get an excess return for "Best Bets" sectors that year.5 Table 2 shows the average and standard deviation of calendar year excess returns for each quadrant, using a sample that spans from 2006-2017. As would be expected, the "Exciting" quadrant displays the highest average excess return, but also the highest standard deviation. Conversely, the "Boring" quadrant delivers the lowest average return and the lowest risk. The performance of the "Best Bets" quadrant is somewhere in between, delivering a greater average return than the "Boring" quadrant with less risk than the "Exciting" quadrant. Although the Sharpe Ratio for the "Best Bets" quadrant turns out to be worse than the Sharpe ratio for both the "Exciting" and "Boring" quadrants. This provides some support for the investment strategy of favoring either the "Exciting" or "Boring" quadrants depending on your assessment of the macro environment. The "Avoid" quadrant actually delivered negative excess returns on average, with elevated risk. Table 2Excess Return Bond Map Track Record (2006-2017) For comparison we also show the average and standard deviation of excess returns for the Bloomberg Barclays Aggregate index, augmented with High-Yield. The benchmark delivered excess returns only slightly greater than the "Boring" quadrant, with significantly more risk. The total return version of the Bond Map is shown in Chart 7. This is identical to the excess return Bond Map, except it shows the number of days of average increase/decrease in yields for each sector to lose/earn 5% total return. We perform the identical back-test as with the excess return map, and display the results in Table 3. Chart 7Total Return Bond Map (As Of April 20, 2018) Table 3Total Return Bond Map Track Record (2006-2017) Here we see the interesting result that the average total returns are higher in the "Best Bets" quadrant than in the "Exciting" quadrant, but strangely the "Best Bets" quadrant also delivered greater volatility. The "Boring" quadrant delivered the best Sharpe Ratio, while the "Avoid" sector delivered both lower average returns and greater volatility than the "Boring" quadrant. For comparison, the average total returns for the Aggregate index (plus High-Yield) were lower than the total returns from any of the four quadrants, but also with less volatility. Ryan Swift, Vice President U.S. Bond Strategy rswift@bcaresearch.com 1 We define the "turn" in the credit cycle as when corporate defaults start to occur and corporate spreads enter a sustained widening phase. 2 Please see U.S. Bond Strategy Weekly Report, "The Two-Stage Bear Market In Bonds", dated February 20, 2018, available at usbs.bcaresearch.com 3 For the Phase 1 period in Cycle 2 we use an interval of June 1983 to July 1988 because High-Yield excess returns are only available starting in June 1983. In reality, the Phase 1 period should have started when the prior recession ended in December 1982. Using the correct interval (starting in December 1982) investment grade corporate bond excess returns are +131 bps and the stock-to-bond ratio returns are +5.19%, both annualized. 4 Please see U.S. Bond Strategy Weekly Report, "Back To Basics", dated April 17, 2018, available at usbs.bcaresearch.com 5 We started our back-test sample in 2006 even though our sector data goes back to 2000. Because our bond map relies on historical estimates of spread/yield volatility, we wanted a sample of at least five years of data before starting the test. With each passing year more back-data is incorporated into our spread/yield volatility estimates, which should improve the Bond Map's accuracy over time. Fixed Income Sector Performance Recommended Portfolio Specification