Gas storage valuation using a multifactor price process

In this paper we discuss an extension to a popular gas storage valuation method called the spot approach. Least-Squares Monte Carlo, which is the basis for the spot approach, allows for multi-factor price processes. Such price processes can capture more realistically the actual price behavior present in energy markets. In this paper we demonstrate the application of multi-factor Least-Squares Monte Carlo to gas storage valuation. We study the impact of using multi-factor price processes on different aspects of the valuation such as convergence, average storage value and distribution of storage values in a numerical example. We find a counter example to the idea that an increase in market volatility leads to an increase in storage value. As well, we find a counter example to the idea that the natural hedging strategy of the spot approach is no hedge: a simple static financial hedge can reduce the inherent risk of the spot approach. Finally, we study the impact of model error related to the price process.

[1]  M. Abramowitz,et al.  Handbook of Mathematical Functions With Formulas, Graphs and Mathematical Tables (National Bureau of Standards Applied Mathematics Series No. 55) , 1965 .

[2]  Eduardo S. Schwartz,et al.  Short-Term Variations and Long-Term Dynamics in Commodity Prices , 2000 .

[3]  Francis A. Longstaff,et al.  Valuing American Options by Simulation: A Simple Least-Squares Approach , 2001 .

[4]  Manuel Moreno,et al.  On the Robustness of Least-Squares Monte Carlo (LSM) for Pricing American Derivatives , 2007 .

[5]  G. Hirsch Pricing of hourly exercisable electricity swing options using different price processes , 2009 .

[6]  Cyriel de Jong,et al.  Cointegration between gas and power spot prices , 2009 .

[7]  G. Zachmann,et al.  Expected Vs. Observed Storage Usage: Limits to Intertemporal Arbitrage , 2009 .

[8]  Petter Bjerksund,et al.  Gas Storage Valuation: Price Modelling v. Optimization Methods , 2008 .

[9]  Nicola Secomandi,et al.  An Approximate Dynamic Programming Approach to Benchmark Practice-Based Heuristics for Natural Gas Storage Valuation , 2010, Oper. Res..

[10]  Lars Stentoft Assessing the Least Squares Monte-Carlo Approach to American Option Valuation , 2004 .

[11]  Alexander Boogert,et al.  Gas Storage Valuation Using a Monte Carlo Method , 2008 .

[12]  Henrik Andersson,et al.  The stochastic behaviour of commodity prices , 2003 .

[13]  C. Weber,et al.  Gas storage valuation: Comparison of recombining trees and Least Squares Monte-Carlo simulation , 2008, 2008 IEEE International Engineering Management Conference.

[14]  Steen Koekebakker,et al.  Forward curve dynamics in the Nordic electricity market , 2005 .

[15]  Yun Li,et al.  Natural Gas Storage Valuation , 2009 .

[16]  Lars Stentoft,et al.  Convergence of the Least Squares Monte Carlo Approach to American Option Valuation , 2004, Manag. Sci..

[17]  H. Tolle,et al.  Optimization Methods , 1975 .