Bond Risk, Bond Return Volatility, and the Term Structure of Interest Rates Luis M. Viceira1 Forthcoming International Journal of Forecasting This draft: January 2010 Abstract This paper explores time variation in bond risk, as measured by the covariation of bond returns with stock returns and with consumption growth, and in the volatility of bond returns. A robust stylized fact in empirical finance is that the spread between the yield on long-term bonds and short-term bonds forecasts positively future excess returns on bonds at varying horizons, and that the short-term nominal interest rate forecasts positively stock return volatility and exchange rate volatility. This paper presents evidence that movements in both the short-term nominal interest rate and the yield spread are positively related to changes in subsequent realized bond risk and bond return volatility. The yield spread appears to proxy for business conditions, while the short rate appears to proxy for inflation and economic uncertainty. A decomposition of bond betas into a real cash flow risk component, and a discount rate risk component shows that yield spreads have offsetting effects in each component. A widening yield spread is correlated with reduced cash-flow (or inflationary) risk for bonds, but it is also correlated with larger discount rate risk for bonds. The short rate forecasts only the discount rate component of bond beta. JEL classification:G12. 1Graduate School of Business Administration, Baker Libray 367, Harvard Univer- sity, Boston MA 02163, USA, CEPR, and NBER. Email
[email protected]. Website http://www.people.hbs.edu/lviceira/. I am grateful to John Campbell, Jakub Jurek, André Per- old, participants in the Lisbon International Workshop on the Predictability of Financial Markets, and especially to two anonymous referees and Andréas Heinen for helpful comments and suggestions.