Embracing flat a new norm in long-term yields

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April 17 ECONOMIC ANALYSIS Embracing flat a new norm in long-term yields Shushanik Papanyan A flattened term premium curve is unprecedented when compared to previous Fed tightening cycles Term premium dynamics are driven by the amplified role of duration risk as a shock absorber Economic growth expectations remain the main driving force behind the long-term yields trajectory The prospect of an upward trend revival in long-term Treasury yields - backed by post-u.s. Presidential elections sentiment - has been fading. Considering that the decades long trend is downward, is a leveling-off in long-term yields the best that we should hope for? Indeed, the 1-year Treasury yield has been fluctuating within a 1 basis point band for the last 5 years. Since 1, the 1-year yield s upper bound has been around 3.% and its lower bound has been around 1.%, and the last 9 months have been no exception to this pattern. The Brexit vote pushed the 1-year yield to its lowest level of 1.37% in July 1 with a later rise to.% in January 17, as the Trump administration s economic policies revived inflation expectations. Going forward, long-term yields - which are typically determined by expectations of the short-term rate path, economic growth, inflation and term premium - have adjusted to reflect expectations of constancy and predictability. The notion of moderate and steady economic growth, soft inflation, and clearly communicated Fed funds rate hikes has settled in the markets. However, long-term yields will move sideways with a sizeable band of upswings and downswings as a result of geopolitical risks. The driving forces behind long-term yields reveal a high likelihood that a flat trajectory flat term premium across maturities, flat long-term yield trend, and thus a flattening yield curve would be embraced as a norm for medium-term projections. Any disruption of the flat norm would be driven by structural shocks such as changes in the supply or demand of Treasuries and/or shift to a new regime of productivity, growth, and inflation. Figure 1 Figure 1-Year Treasury Note %.5. 3.5 3.. 1. 1 11 1 13 1 15 1 17 1-Year Treasury Note & FRB 1-17 Average 1-Year Treasury Term Premium and Inflation Expectations, % 3.. 1..5. -.5-1. 1 11 1 13 1 15 1 17 Ex-Ante Term Premium Implied 1Y Spot Inflation Rate 1-17 Average & FRB 1/ www.bbvaresearch.com

Where is the risk in the long-term yields risk premium? U.S. Economic Watch April 17 Long-term yields are driven by expectations and risk premium, and research has concluded that the reduction in long-term yields has been primarily driven by lower risk premium. Moreover, together with the decline in term premium, the flattened term premium across maturities make the period from and onward quite significant. This phenomenon is strongly exhibited in 1 where the average estimate for the 1-year Treasury term-premium is negative and is on par with the 1-year to 7-year Treasuries term premium. Notably, the 15-17 term-premium curve is unprecedented when compared to any previous Federal Reserve tightening cycle. Reduced inflation risk and reduced monetary policy uncertainty are only part of the dynamism keeping termpremium low. The two factors that set the term premium dynamics in this Fed tightening cycle apart from the past precedents are the supply and demand imbalance and the amplified role of duration risk as a global shock absorber. Figure 3 Figure Treasury Yield Curve Term Premium %, 1 year Averages Treasury Yield Curve Term Premium %, Fed Tightening Cycle Averages 3.5 3.. 1..5. -.5-1. 1Y Y 3Y 5Y Y 7Y 8Y 9Y 1Y 198-1989 199-1999 -9 1-15 1 9Y 8Y 1Y 3. 1Y Y. 1..5. -.5 5Y 3Y 7Y Y Dec 198 - Sep 1987 Mar 1988 - Feb 1989 Feb 199 - Feb 1995 Jun 1999 - May Jun - June Dec 15 - Present & FRBNY & FRBNY Supply-demand imbalance: While the issuance of U.S. Treasuries has slowed, the share of Treasury Securities held by Central Banks including the Fed declined only slightly to % of the total. The demand for Treasury Securities also remained steady from pension funds and chartered institutions, backed by post- Great Recession financial regulations on liquidity rules, and by retiring baby-boomers. Altogether, the Central Banks, U.S. chartered institutions, and pension funds held 3% of the total outstanding Treasuries, leaving the rest to domestic and foreign private holdings. The supply-demand imbalance has led largely to a decline of duration risk and a compression of term premium across maturities. Economic research has addressed the portfolio balance channel where a reduction of the aggregated amount of longer-term bonds shortens the average maturity of outstanding securities, resulting in a decrease in duration risk. Therefore, as the Fed reduces demand for Treasuries to normalize its balance sheet, the expectation should be for higher duration risk, followed by the adjustment of long-term yields to the Fed s balance sheet normalization strategy. / www.bbvaresearch.com

April 17 Figure 5 Figure U.S. Treasury Supply vs. Domestic Private Demand, $bn, Y/Y change $bn 1 8 - - 97 99 1 3 5 7 9 11 13 15 17 U.S. Treasury Net Issuance Change in Private Demand, FRB and BPD US Treasury Major Foreign Holders and Fed $bn 5 3 1 1 3 5 7 8 9 1 11 1 13 1 15 1 17 US Treasury Major Foreign Holders Total US Treasury Securities Foreign Holders Japan US Treasury Securities Foreign Holders China US Treasury Securities Foreign Holders Ireland Federal Reserve Bank, FRB and Bloomberg The shock absorber role: Times of turbulence force investors to focus on the shock absorber role of duration risk, when government bonds act as insurance with a flexible payoff time. The recently amplified role of duration risk as a global shock absorber has resulted in a negative term premium and flattened duration risk across maturities. Treasury Securities net capital inflows and outflows dynamics have changed significantly since 13, which is likely attributable to heightened volumes of safe haven trades. Data indicate increases in both the monthly volatility of net flows and in the volume of monthly flows since 13. Figure 7 Figure 8 Treasury International Capital Net Monthly Inflows Volatility One Standard Deviation average Treasury International Capital Net Monthly Inflows Volatility Monthly $bn 1 1 1 1 8 Total Private Official 1-5-8 9-1 13-1 1 3 5 7 8 9 1 11 1 13 1 15 1 17 - -1 1 3 and Bloomberg 3/ www.bbvaresearch.com

April 17 Figure 9 Figure 1-7 Net Monthly International Inflows/Outflows Distribution $ bn, bracket average and frequency 18 1 1 1 1 8 13 to Present Net Monthly International Inflows/Outflows Distribution $ bn, bracket average and frequency 8 7 5 3 1-18 -1-1 - - 1 1 18-18 -1-1 - - 1 1 18 Elevated uncertainty weighs in on the long-term yields forecasts The accurate pricing of long-term bond yields has become challenging due to increased demand for bonds from central banks, chartered institutions and pension funds, and higher cross-border capital flow volatility. Moreover, implications of the discrepancies between observed and forecasted long-term yields are different depending on whether the discrepancy relates to the risk premium or to the economic growth expectations. To the extent that the decline in forward rates can be traced to a decline in the term premium, perhaps for one or more of the reasons I have just suggested, the effect is financially stimulative and argues for greater monetary policy restraint, all else being equal. However, if the behavior of long-term yields reflects current or prospective economic conditions, the implications for policy may be quite different indeed, quite the opposite. The simplest case in point is when low or falling long-term yields reflect investor expectations of future economic weakness. Remarks by Federal Reserve Chairman Ben S. Bernanke, March, Forecasts that employ affine no-arbitrage dynamic latent factor yield curve model incorporating bidirectional linkages between macroeconomic variables and yield curve latent factors (level, slope and curvature) are known to provide the best syntheses of finance and macroeconomic modeling of the yield curve. However, assessment of the two-year forward 1-year treasury yield s forecast accuracy proves to be sensitive to the end of the sample time period on which the forecast was conducted. That time sensitivity of forecast accuracy exists because the yield curve model gives less weight to the variation in risk premium and more weight to risk-neutral dynamics. Earlier research has estimated that within yield curve estimations that allow for bidirectional linkages between macro and yield curve factors, the model attributes over half of the variance of long-term yields to macro factors. 1 Additionally, recent research has confirmed that in no-arbitrage affine yield curve model estimations, risk-neutral dynamics are given more priority over the stochastic volatility of time series risk premium. 1: Diebold et al. (), Ang et al. (7) : Joslin and Le (13) / www.bbvaresearch.com

April 17 The decomposition of the 1-year Treasury yield into stochastic trend - term premium, and the risk-neutral rate 3 has highlighted that future expectations have accounted for the 7 basis point increase between July, 1 (after the Brexit vote and U.S. elections) and December 1, 1 (Fed s second rate increase). Overall, risk-neutral fluctuation has estimated a +3 to -3 basis point band around the mean. Investors expectations of economic activity are by and large shaped by the Fed s assessments, which are communicated via speeches, FOMC statements, and policies. The medium-term forecasts appear to be more accurate when deviations from the mean are smallest for both the risk premium and the risk-neutral rate. At the same time, under the economic environment of subdued inflation and policy risks, domestic and global economic growth expectations remain the main driving forces behind volatility in long-term yields. Figure 11 Figure 1 Two-Year Forward Forecasts of 1-Year Treasury Yield %. 3.5 3.. 1-Year Treasury Risk-Neutral Rate bp 3 1-1 - -3-1. Historic Jan-17 Jun-1 Jan-1 Jun-15 Jan-15 "Operation Twist" and QE3 Taper Tantrum Stock Market Crash in China Zero Lower Bound Lift Off Brexit Vote Effect U.S. Presid. Elections and Optimistic Fed Risk-Neutral Rate and FRB Bottom Line Long-term yields are trapped between downward pressure from the term premium and upward pressure from the risk-neutral rate. Absent structural shocks, the sideways trend in long-term yields is a reasonable new norm. The driving forces behind the near-zero term premium are set in place by structural shifts - mainly aging population and regulations - and will have to be disrupted by similar structural shifts, such as a switch to a new regime of productivity, growth, and inflation. Under the assumption that the Fed continues its tradition of transparency and clear communication, especially with regard to further Fed funds rate and later balance sheet gradual normalization, we can expect that the Fed will continue to set growth expectations and to affect the risk-neutral rate. At the same time, the gradual normalization of the Fed s balance sheet should have a positive impact on duration risk. In the medium-term, domestic and global economic growth expectations are likely to remain the main driving force behind long-term bond yields. 3: Clark (1987) univariate trend-cycle unobserved component model decomposition. 5/ www.bbvaresearch.com

April 17 References Ang, A., Bekaert, G. and Wei, M., 7. Do macro variables, asset markets, or surveys forecast inflation better?. Journal of monetary Economics, 5(), pp.113-11. Clark, P.K., 1987. The cyclical component of US economic activity. The Quarterly Journal of Economics, 1(), pp.797-81. Cochrane, J.H. and Piazzesi, M., 9. Decomposing the yield curve. Working Paper, University of Chicago and NBER Diebold, F.X., Rudebusch, G.D. and Aruoba, S.B.,. The macroeconomy and the yield curve: a dynamic latent factor approach. Journal of econometrics, 131(1), pp.39-338. Diebold, F.X. and Rudebusch, G.D., 1. Yield curve modeling and forecasting: the dynamic Nelson-Siegel approach. Economics Books. Joslin, S. and Le, A., 13. Interest rate volatility and no-arbitrage affine term structure models. Working Paper. University of Southern California. DISCLAIMER This document was prepared by Banco Bilbao Vizcaya Argentaria s (BBVA) BBVA Research U.S. on behalf of itself and its affiliated companies (each BBVA Group Company) for distribution in the United States and the rest of the world and is provided for information purposes only. Within the US, BBVA operates primarily through its subsidiary Compass Bank. The information, opinions, estimates and forecasts contained herein refer to the specific date and are subject to changes without notice due to market fluctuations. The information, opinions, estimates and forecasts contained in this document have been gathered or obtained from public sources, believed to be correct by the Company concerning their accuracy, completeness, and/or correctness. This document is not an offer to sell or a solicitation to acquire or dispose of an interest in securities. / www.bbvaresearch.com