Gas Storage Valuation: A Comparative Simulation Study
The purpose of this paper is the comparative analysis of four natural gas storage valuation approaches. In competitive natural gas markets the optimal valuation and operation of natural gas storages is a key task for natural gas companies operating storages. Within this paper, four spot based valuation approaches are analyzed regarding computational time and accuracy. In particular, explicit and implicit finite differences, multinomial recombining trees, and Least Squares Monte Carlo Simulation are compared. These approaches are applied to the valuation of a gas storage facility considering three different underlying price processes. Major characteristics of historical natural gas prices are: seasonality, mean reversion and jumps. Therefore, we consider a mean reversion process as underlying price process. In a first step, we extend this mean reversion process to a mean reversion jump diffusion process, to account for jumps, occurring in historical gas spot price time series. Moreover, we consider a more general price process accounting for mean reversion as well as seasonal patterns as observed in the historical time series. Besides the analysis of the numerical results, the benefits and drawbacks of the methodologies are discussed.
|Date of creation:||Jun 2012|
|Date of revision:||Apr 2014|
|Contact details of provider:|| Postal: Universitätsstrasse 12, 45117 Essen|
Phone: 0201 - 183 3633
Fax: 0201 - 183 2292
Web page: http://www.ewl.wiwi.uni-due.de
More information through EDIRC
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Kjarstad, Jan & Johnsson, F., 2007. "Prospects of the European gas market," Energy Policy, Elsevier, vol. 35(2), pages 869-888, February.
- Das, Sanjiv R., 2002. "The surprise element: jumps in interest rates," Journal of Econometrics, Elsevier, vol. 106(1), pages 27-65, January.
- Alvaro Cartea & Marcelo Figueroa, 2005.
"Pricing in Electricity Markets: A Mean Reverting Jump Diffusion Model with Seasonality,"
Applied Mathematical Finance,
Taylor & Francis Journals, vol. 12(4), pages 313-335.
- Alvaro Cartea & Marcelo_Gustavo Figueroa, 2005. "Pricing in Electricity Markets: a Mean Reverting Jump Diffusion Model with Seasonality," Finance 0501011, EconWPA, revised 10 Sep 2005.
- Alvaro Cartea & Marcelo Gustavo Figueroa, 2005. "Pricing in Electricity Markets: a Mean Reverting Jump Diffusion Model with Seasonality," Birkbeck Working Papers in Economics and Finance 0507, Birkbeck, Department of Economics, Mathematics & Statistics.
- Bjerksund, Petter & Stensland, Gunnar & Vagstad, Frank, 2008.
"Gas Storage Valuation: Price Modelling v. Optimization Methods,"
2008/20, Department of Business and Management Science, Norwegian School of Economics.
- Petter Bjerksund & Gunnar Stensland & Frank Vagstad, 2011. "Gas Storage Valuation: Price Modelling v. Optimization Methods," The Energy Journal, International Association for Energy Economics, vol. 0(Number 1), pages 203-228.
- Felix, Bastian Joachim & Weber, Christoph, 2012. "Gas storage valuation applying numerically constructed recombining trees," European Journal of Operational Research, Elsevier, vol. 216(1), pages 178-187.
- Geske, Robert & Shastri, Kuldeep, 1985. "Valuation by Approximation: A Comparison of Alternative Option Valuation Techniques," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 20(01), pages 45-71, March.
- Rafal Weron, 2006. "Modeling and Forecasting Electricity Loads and Prices: A Statistical Approach," HSC Books, Hugo Steinhaus Center, Wroclaw University of Technology, number hsbook0601.
- Byers, Joe Wayne, 2006. "Commodity storage valuation: A linear optimization based on traded instruments," Energy Economics, Elsevier, vol. 28(3), pages 275-287, May.
- Nicola Secomandi, 2010. "Optimal Commodity Trading with a Capacitated Storage Asset," Management Science, INFORMS, vol. 56(3), pages 449-467, March.
- Rene Carmona & Michael Ludkovski, 2010. "Valuation of energy storage: an optimal switching approach," Quantitative Finance, Taylor & Francis Journals, vol. 10(4), pages 359-374.
- Schwartz, Eduardo S, 1997. " The Stochastic Behavior of Commodity Prices: Implications for Valuation and Hedging," Journal of Finance, American Finance Association, vol. 52(3), pages 923-973, July.
- Brennan, Michael J. & Schwartz, Eduardo S., 1978. "Finite Difference Methods and Jump Processes Arising in the Pricing of Contingent Claims: A Synthesis," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 13(03), pages 461-474, September.
- Longstaff, Francis A & Schwartz, Eduardo S, 2001. "Valuing American Options by Simulation: A Simple Least-Squares Approach," University of California at Los Angeles, Anderson Graduate School of Management qt43n1k4jb, Anderson Graduate School of Management, UCLA.
When requesting a correction, please mention this item's handle: RePEc:dui:wpaper:1201. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Andreas Fritz)
If references are entirely missing, you can add them using this form.