We develop an empirical model of bilateral exchange rates. It includes normal shocks with stochastic variance and jumps in an exchange rate and in its variance. The probability of a jump in an exchange rate corresponding to depreciation (appreciation) of the U.S. dollar is increasing in the domestic (foreign) interest rate. The probability of a jump in variance is increasing in the variance only. Jumps in exchange rates are associated with announcements; jumps in variance are not. On average, jumps account for 25% of currency risk. The dollar carry index retains these features. Options suggest that jump risk is priced.

We explore the term structures of claims to a variety of cash flows, namely, US government bonds (claims to dollars), foreign government bonds (claims to foreign currency), inflation-adjusted bonds (claims to the price index), and equity (claims to future equity indexes or dividends). The average term structures reflect the dynamics of the dollar pricing kernel, cash flow growth, and the interaction between the two. We use an affine model to illustrate how these two components can deliver term structures with a wide range of levels and shapes. Finally, we calibrate a representative agent economy to show that the evidence is consistent with the equilibrium models.