Weekly data for foreign currency futures prices are examined for evidence of risk premiums. Covariance risks are measured with respect to the excess returns from benchmark portfolios for consumption and wealth. When the parameters representing the prices of the covariance risks are held constant, no risk premiums are detected. However, when these prices are allowed to vary with the conditional expected returns and variances of the benchmark portfolios, possibly reflecting changing investment opportunities, strong evidence of risk premiums is obtained.

In the intertemporal asset pricing model, investments in spot foreign currencies involve time-varying risk proportional to the conditional covariance of the value of the position with the intertemporal marginal rate of substitution of domestic currency. We detect such risk premia in deviations from uncovered interest rate parity using weekly spot currency prices and Eurocurrency interest rates. Our tests use the conditional capital asset pricing model with a world equity index as benchmark to represent aggregate wealth.