Dynamic optimal hedging with futures in portfolio context
Résumé
We investigate the optimal hedging strategy in a continuous time
framework that is more adequate for commodities. We consider the
consumption-investment problem where all asset prices follow mean-
reverting jump-diffusion processes. The optimal investment and con-
sumption strategies are derived in closed form. The framework is used
to address one of the major risk factors faced by commodity produc-
ers. We show that a commodity producer will be better off hedging
his/her futures contracts by simultaneously investing in foreign ex-
change products to minimize the adverse impacts of the jump risk
prevalent in commodity prices.