Jump-diffusion international asset allocation

Abstract

We examine international asset allocation with jump-diffusion assets in the presence of risky deviations of exchanges rates from purchasing power parity when investors consume both traded and nontraded goods. We show that adding new jump risks to existing diffusion assets does not alter investors’ original optimal portfolios of diffusion assets, as long as diffusion-risk premia remain unchanged. We also show that hedge portfolios against purchasing power parity deviations are integral parts of optimal portfolios for investors from different countries, and they can be constructed by using foreign and domestic inflation-indexed bonds. Moreover, country-specific demand for risky assets can arise from nontraded-good-specific inflation-rate-differential risks.