论文信息 - A Multi-Factor Model for Energy Derivatives

A Multi-Factor Model for Energy Derivatives

In this paper we develop a general framework for the risk management of energy derivatives. The framework is designed to be consistent not only with the market observable forward price curve but also the volatilities and correlations of forward prices. We show how these volatilities and correlations can be estimated from the market and incorporated into the model in order to price a wide range of energy derivatives. Our framework extends and synthesises the results of Amin and Jarrow [1991a,b], Cortazar and Schwartz [1994], Amin, Ng and Pirrong [1995], Schwartz [1997], and Hilliard and Reis [1998]. We demonstrate the application of our framework to oil and gas futures data from the New York Mercantile Exchange and give numerical results for the pricing of European Caps and Swaptions. A Multi-Factor Model for Energy Derivatives Clewlow and Strickland multi_factor_energy_derivatives.doc 3

L. Clewlow | C. Strickland

[1] J. Harrison,et al. Martingales and stochastic integrals in the theory of continuous trading , 1981 .

[2] Eduardo S. Schwartz,et al. The Valuation of Commodity Contingent Claims , 1994 .

[3] William H. Press,et al. Numerical recipes in C. The art of scientific computing , 1987 .

[4] S. Ross,et al. The valuation of options for alternative stochastic processes , 1976 .

[5] F. Black,et al. The Pricing of Options and Corporate Liabilities , 1973, Journal of Political Economy.

[6] Jimmy E. Hilliard,et al. Valuation of Commodity Futures and Options under Stochastic Convenience Yields, Interest Rates, and Jump Diffusions in the Spot , 1998, Journal of Financial and Quantitative Analysis.

[7] S. Ross,et al. The relation between forward prices and futures prices , 1981 .

[8] R. Jarrow,et al. Pricing Options On Risky Assets In A Stochastic Interest Rate Economy , 1992 .

[9] Eduardo S. Schwartz,et al. Stochastic Convenience Yield and the Pricing of Oil Contingent Claims , 1990 .

[10] Robert A. Jarrow,et al. Pricing foreign currency options under stochastic interest rates , 1991 .

[11] Eduardo S. Schwartz. The stochastic behavior of commodity prices: Implications for valuation and hedging , 1997 .

[12] William H. Press,et al. Numerical Recipes in FORTRAN - The Art of Scientific Computing, 2nd Edition , 1987 .