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.
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World Scientific Book Chapters,in: Theory Of Valuation, chapter 4, pages 97-127
World Scientific Publishing Co. Pte. Ltd..
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- 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.
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- Massimo Giovannini & Margherita Grasso & Alessandro Lanza & Matteo Manera, 2006. "Conditional correlations in the returns on oil companies stock prices and their determinants," Empirica, 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.
- René Carmona & Nizar Touzi, 2008. "Optimal Multiple Stopping And Valuation Of Swing Options," Mathematical Finance, Wiley Blackwell, vol. 18(2), pages 239-268.
- Patrick Jaillet & Ehud I. Ronn & Stathis Tompaidis, 2004. "Valuation of Commodity-Based Swing Options," Management Science, INFORMS, vol. 50(7), pages 909-921, July.
- Merton, Robert C., 1976. "Option pricing when underlying stock returns are discontinuous," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 125-144.
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- Hiroshi Shirakawa, 1991. "Interest Rate Option Pricing With Poisson-Gaussian Forward Rate Curve Processes," Mathematical Finance, Wiley Blackwell, vol. 1(4), pages 77-94.
- 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.
- repec:dau:papers:123456789/1433 is not listed on IDEAS
- 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.
- 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.
- 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.
- 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.
- 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. Full references (including those not matched with items on IDEAS)
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