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The Stochastic Discount Factor: Extending the Volatility Bound and a New Approach to Portfolio Selection with Higher-Order Moments

Staff Working Paper 2005-2 Fousseni Chabi-Yo, René Garcia, Eric Renault
The authors extend the well-known Hansen and Jagannathan (HJ) volatility bound. HJ characterize the lower bound on the volatility of any admissible stochastic discount factor (SDF) that prices correctly a set of primitive asset returns.
Content Type(s): Staff research, Staff working papers Research Topic(s): Financial markets, Market structure and pricing JEL Code(s): C, C6, C61, G, G1, G11, G12
December 24, 2004

Government of Canada Yield-Curve Dynamics, 1986-2003

A database of historical Government of Canada zero-coupon yield curves developed at the Bank of Canada is introduced in this article, which also includes an initial statistical analysis of the behaviour and evolution of the zero-coupon interest (spot) rates over the full period and two distinct subperiods. Specific areas of interest include the evolution of the levels of key interest rates and yield-curve measures over the sample as well as daily changes in the key interest rates and the yield-curve measures; the identification of a relatively small number of factors that drove the evolution of the yield curve; and the total returns that would have been realized by holding bonds of different maturities for a given holding period.

An Empirical Analysis of the Canadian Term Structure of Zero-Coupon Interest Rates

Staff Working Paper 2004-48 David Bolder, Adam Metzler, Grahame Johnson
Zero-coupon interest rates are the fundamental building block of fixed-income mathematics, and as such have an extensive number of applications in both finance and economics.
November 23, 2004

Real Return Bonds: Monetary Policy Credibility and Short-Term Inflation Forecasting

The break-even inflation rate (BEIR) is calculated by comparing the yields on conventional and Real Return Bonds. Defined as the average rate of inflation that equates the expected returns on these two bonds, the BEIR has the potential to contain useful information about long-run inflation expectations. Yet the BEIR has been higher, on average, and more variable than survey measures of inflation expectations, which may be explained by the effects of premiums and distortions embedded in the BEIR. Because of the difficulty in accounting for these distortions, the BEIR should not be given a large weight as a measure of long-run inflation expectations at this time. However, as the Real Return Bond market continues to develop, the BEIR should become a more useful indicator of inflation expectations. At present, it demonstrates no clear advantage over survey measures and even past inflation rates in forecasting near-term inflation.
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