One-period expected returns on futures contracts with different maturi
ties differ because of risk premia in the spreads between futures and
spot prices. We analyze the expected returns for futures contracts wit
h different maturities using the information that is present in the cu
rrent term structure of futures prices. A simple affine one-factor mod
el that implies a constant covariance between the pricing kernel and t
he cost-of-carry cannot be rejected for heating oil and German Mark fu
tures contracts. For gold and soybean futures, the risk premia depend
on the slope of the current term structure of futures prices, while fo
r live cattle futures, the evidence is mixed.