An equilibrium model for spot and forward prices of commoditiesI Michail Anthropelosa,1, Michael Kupperb,2, Antonis Papapantoleonc,3 ABSTRACT AUTHORS INFO We consider a market model that consists of financial investors and a University of Piraeus, 80 Karaoli and Dim- itriou Str., 18534 Piraeus, Greece producers of a commodity. Producers optionally store some produc- b tion for future sale and go short on forward contracts to hedge the University of Konstanz, Universitätstraße 10, 78464 Konstanz uncertainty of the future commodity price. Financial investors take po- c Institute of Mathematics, TU Berlin, Straße sitions in these contracts in order to diversify their portfolios. The spot des 17. Juni 136, 10623 Berlin, Germany and forward equilibrium commodity prices are endogenously derived 1
[email protected] as the outcome of the interaction between producers and investors. As- 2
[email protected] 3 suming that both are utility maximizers, we first prove the existence of
[email protected] an equilibrium in an abstract setting. Then, in a framework where the PAPER INFO consumers’ demand and the exogenously priced financial market are correlated, we provide semi-explicit expressions for the equilibrium AMS CLASSIFICATION: 91B50, 90B05 prices and analyze their dependence on the model parameters. The JEL CLASSIFICATION: Q02, G13, G11, C62 model can explain why increased investors’ participation in forward commodity markets and higher correlation between the commodity and the stock market could result in higher spot prices and lower for- ward premia. KEYWORDS: Commodities, equilibrium, spot and forward prices, for- ward premium, stock and commodity market correlation. 1. Introduction Since the early 2000s, the futures and forward contracts written on commodities have been a widely popular investment asset class for many financial institutions.