Dynamic Asset Pricing with Non-Redundant Forwards

In an incomplete market in which non-redundant forward contracts contribute to span the uncertainty, some standard results of portfolio theory must be amended. When the investment opportunity set is driven by K state variables, a (K+3)-mutual fund separation theorem is obtained in lieu of Merton's (K+2)-fund separation result. The additional fund is a portfolio that hedges the interest rate risk brought about by the optimal portfolio strategy itself. Second, the mean-variance efficiency of the market portfolio of cash assets is neither a necessary nor a sufficient condition for the linear relationship between expected return and beta to hold. Third, the pricing equation for a forward contract is shown to contain an extra term relative to that for a cash asset, term we name strategy risk premium