Méthodes numériques pour la valorisation d'options swings et autres problèmes sur les matières premières
The thesis presents a construction of a grid that discretizes the threshold model introduced by Geman and Roncoroni (2006) for electricity spot prices, incorporating both mean reversion and jumps, the direction of the latter depending on the price of the underlying at the time of the jump. The grid is used for the pricing of derivatives of European style, by backward induction method, in a setting of both constant and time-changing parameters. Monte Carlo simulations confirm the accuracy of the grid method which in addition is a lot faster to run. The grid is also extended to a multi-layer framework for the pricing of swing options, of both storage and supply type, in the general case of time-changing parameters, where once again Monte Carlo simulations confirm the accuracy of the pricing results. The thesis ends with a study of the impact of commodity price returns to the returns of stock prices of companies that produce the relevant commodity (oil, copper and wheat are used in the study). The results provide evidence that the stock prices are indeed influenced by the price of the relevant commodity and that this influence has increased in recent years.
|This book is provided by Paris Dauphine University in its series Economics Thesis from University Paris Dauphine with number 123456789/116 and published in 2008.|
|Contact details of provider:|| Web page: http://www.dauphine.fr/en/welcome.html|
More information through EDIRC
References listed on IDEAS
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.:
- Evis Këllezi & Nick Webber, 2004. "Valuing Bermudan options when asset returns are Levy processes," Quantitative Finance, Taylor & Francis Journals, vol. 4(1), pages 87-100.
- Hélyette Geman & Andrea Roncoroni, 2006. "Understanding the Fine Structure of Electricity Prices," The Journal of Business, University of Chicago Press, vol. 79(3), pages 1225-1262, May.
- Merton, Robert C., 1975.
"Option pricing when underlying stock returns are discontinuous,"
787-75., Massachusetts Institute of Technology (MIT), Sloan School of Management.
- Merton, Robert C., 1976. "Option pricing when underlying stock returns are discontinuous," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 125-144.
- Massimo Giovannini & Margherita Grasso & Alessandro Lanza & Matteo Manera, 2006.
"Conditional correlations in the returns on oil companies stock prices and their determinants,"
Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 33(4), pages 193-207, September.
- Matteo Manera & Massimo Giovannini & Margherita Grasso & Alessandro Lanza, 2004. "Conditional Correlations in the Returns on Oil Companies Stock Prices and Their Determinants," Working Papers 2004.71, Fondazione Eni Enrico Mattei.
- Olivier Aj Bardou & Sandrine Bouthemy & Gilles Pag\`es, 2007. "Optimal quantization for the pricing of swing options," Papers 0705.2110, arXiv.org.
- Blose, Laurence E. & Shieh, Joseph C. P., 1995. "The impact of gold price on the value of gold mining stock," Review of Financial Economics, Elsevier, vol. 4(2), pages 125-139.
- 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.
- 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.
- Albanese, Claudio & Lo, Harry & Stathis, Tompaidis, 2006. "A Numerical Method for Pricing Electricity Derivatives for Jump-Diffusion Processes Based on Continuous Time Lattices," MPRA Paper 5245, University Library of Munich, Germany.
- Harrison, J. Michael & Pliska, Stanley R., 1981. "Martingales and stochastic integrals in the theory of continuous trading," Stochastic Processes and their Applications, Elsevier, vol. 11(3), pages 215-260, August.
- Longstaff, Francis A & Schwartz, Eduardo S, 2001. "Valuing American Options by Simulation: A Simple Least-Squares Approach," Review of Financial Studies, Society for Financial Studies, vol. 14(1), pages 113-147.
- repec:dau:papers:123456789/1433 is not listed on IDEAS
- René Carmona & Nizar Touzi, 2008. "Optimal Multiple Stopping And Valuation Of Swing Options," Mathematical Finance, Wiley Blackwell, vol. 18(2), pages 239-268.
- Marcelo G. Figueroa, 2006. "Pricing Multiple Interruptible-Swing Contracts," Birkbeck Working Papers in Economics and Finance 0606, Birkbeck, Department of Economics, Mathematics & Statistics.
- Yanbo Jin & Philippe Jorion, 2006. "Firm Value and Hedging: Evidence from U.S. Oil and Gas Producers," Journal of Finance, American Finance Association, vol. 61(2), pages 893-919, 04.
- Peter Tufano, 1998. "The Determinants of Stock Price Exposure: Financial Engineering and the Gold Mining Industry," Journal of Finance, American Finance Association, vol. 53(3), pages 1015-1052, 06.
- Peter Carr & Helyette Geman, 2002. "The Fine Structure of Asset Returns: An Empirical Investigation," The Journal of Business, University of Chicago Press, vol. 75(2), pages 305-332, April.
- 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.
- Haushalter, G. David & Heron, Randall A. & Lie, Erik, 2002. "Price uncertainty and corporate value," Journal of Corporate Finance, Elsevier, vol. 8(3), pages 271-286, July.
- M. T. Barlow, 2002. "A Diffusion Model For Electricity Prices," Mathematical Finance, Wiley Blackwell, vol. 12(4), pages 287-298.
- Duffie, J Darrell & Huang, Chi-fu, 1985.
"Implementing Arrow-Debreu Equilibria by Continuous Trading of Few Long-lived Securities,"
Econometric Society, vol. 53(6), pages 1337-1356, November.
- Darrell Duffie & Chi-Fu Huang, 2005. "Implementing Arrow-Debreu Equilibria By Continuous Trading Of Few Long-Lived Securities," World Scientific Book Chapters, in: Theory Of Valuation, chapter 4, pages 97-127 World Scientific Publishing Co. Pte. Ltd..
- Patrick Jaillet & Ehud I. Ronn & Stathis Tompaidis, 2004. "Valuation of Commodity-Based Swing Options," Management Science, INFORMS, vol. 50(7), pages 909-921, July.
- Thompson, Andrew C., 1995. "Valuation of Path-Dependent Contingent Claims with Multiple Exercise Decisions over Time: The Case of Take-or-Pay," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 30(02), pages 271-293, June.
- Hiroshi Shirakawa, 1991. "Interest Rate Option Pricing With Poisson-Gaussian Forward Rate Curve Processes," Mathematical Finance, Wiley Blackwell, vol. 1(4), pages 77-94.
- Harrison, J. Michael & Pliska, Stanley R., 1983. "A stochastic calculus model of continuous trading: Complete markets," Stochastic Processes and their Applications, Elsevier, vol. 15(3), pages 313-316, August.
- Davidson, Sinclair & Faff, Robert & Hillier, David, 2003. "Gold factor exposures in international asset pricing," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 13(3), pages 271-289, July.
- Heston, Steven L, 1993. "A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options," Review of Financial Studies, Society for Financial Studies, vol. 6(2), pages 327-343.
When requesting a correction, please mention this item's handle: RePEc:dau:thesis:123456789/116. 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: (Alexandre Faure)
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.