This paper extends the affine class of term structure models to describe the joint dynamics of exchange rates and interest rates. In particular, the issue of how to reconcile the low volatility of interest rates with the high volatility of exchange rates is addressed. The incomplete market approach of introducing exchange rate volatility that is orthogonal to both interest rates and the pricing kernels is shown to be infeasible in the affine setting. Models in which excess exchange rate volatility is orthogonal to interest rates but not orthogonal to the pricing kernels are proposed and validated via Kalman filter estimation of maximal 5-factor models for 6 country pairs.

This paper examines the effects of default risk, call risk, and their interactions on bond duration. We find that call risk decreases durations of default-free bonds, while default risk alone generally decreases durations for risky bonds with only a few exceptions. The joint effect of default and call risk always results in shorter durations for corporate bonds. Controlling for the effect of default risk, call risk has a negative effect on duration, which diminishes as bond ratings decline. Finally, the effect of call risk on duration depends on bond characteristics. Empirical evidence shows that the effect of call risk is smaller for discount bonds and for deep-discount fallen angels.