We develop an extended mean-variance model to investigate the relationship between variance risk premia (VRP) and expected futures returns in the commodity market. In the presence of stochastic variance, commodity producers trade both futures and options to hedge their exposure to commodity...

Both large oil price increases and decreases are associated with deteriorating economic conditions. Consistent with this stylized fact, we find that the projection of the state price density (SPD) on oil returns estimated from oil futures and option prices displays a U-shaped pattern. Because...