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Goldman Sachs vs Sec

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Valuing Energy Options in a One Factor Model

Clewlow and Strickland

Valuing Energy Options in a One Factor Model Fitted to Forward Prices
Les Clewlow and Chris Strickland
This Version: 15th April 1999
School of Finance and Economics University of Technology, Sydney, Australia The Financial Options Research Centre Warwick Business School, The University of Warwick, UK Centre for Financial Mathematics Australian National University, Canberra, Australia Instituto de Estudios Superiores de Administración Caracas, Venezuela

The authors would like to acknowledge the financial support and hospitality of the School of Finance and Economics, University of Technology, Sydney.

All comments welcome. chris_strickland@compuserve.com les_clewlow@compuserve.com

The authors would also like the acknowledge discussions with Nadima El-Hassan (UTS) and the research assistance of Christina Nikitopoulos. All errors remain our own.

energy_single_factor

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Valuing Energy Options in a One Factor Model

Clewlow and Strickland

Valuing Energy Options in a One Factor Model Fitted to Forward Prices

Les Clewlow and Chris Strickland
Abstract
In this paper we develop a single-factor modeling framework which is consistent with market observable forward prices and volatilities. The model is a special case of the multi-factor model developed in Clewlow and Strickland [1999b] and leads to analytical pricing formula for standard options, caps, floors, collars and swaptions. We also show how American style and exotic energy derivatives can be priced using trinomial trees, which are constructed to be consistent with the forward curve and volatility structure. We demonstrate the application of the trinomial tree to the pricing of a European and American Asian option. The analysis in this paper extends the results in Schwartz [1997] and Amin, et al. [1995].

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Valuing Energy

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