Pricing Average Options on Commodities (Revised in February 2012; Subsequently published in “the Journal of Futures Markets”.)

Abstract

This paper proposes a new approximation formula for pricing average options on commodities under a stochastic volatility environment. In particular, it derives an option pricing formula under Heston and an extended lambda-SABR stochastic volatility models (which includes an extended SABR model as a special case). Moreover, numerical examples support the accuracy of the proposed average option pricing formula.