The impact of jump risks on nominal interest rates and foreign exchange rates

This article investigates the relationship between the nominal interest rate and inflation and also the forward exchange rate under a general specification of the underlying processes govering the foreign exchange rate. There are three distinct risks that affect the relation between the real rate of interest and the nominal rate namely, consumption risk, diffusion risk, and the existence of jump risks of inflation. Jump risks lower the nominal interest rate because of jump hedging of a nominal bond. The forward exchange rate depends on the expected depreciation of the domestic currency as well as these three risks. As the domestic jump risks increase, the domestic nominal interest rate decreases and the forward exchange rate decreases.