Arbitrage-free valuation of energy derivatives

This chapter focuses on techniques available for valuing energy-contingent claims and develops an arbitrage-free framework to value energy derivatives. The relationship between the spot, forward and futures prices is explained. Option valuation with deterministic convenience yields is discussed using an extension of the Black (1976) framework, and details of the risk-neutral valuation of European options, and valuation of American and European-style options are given. Option valuations with stochastic convenience yields, the evolution of the term structure of convenience yield, and a tree approach to valuing American and other options are discussed. Applications and limitations of the models for pricing energy derivative products are considered. The stochastic differential equation for the futures prices when the convenience yields are stochastic is presented in an appendix