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Méthodes numériques pour la valorisation d'options swings et autres problèmes sur les matières premières

  • Geman, Hélyette
  • Kourouvakalis, Stylianos
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    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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    File URL: http://basepub.dauphine.fr/xmlui/bitstream/123456789/116/1/THESIS%20Kourouvakalis.pdf
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    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.
    Order: http://basepub.dauphine.fr/xmlui/handle/123456789/116
    Handle: RePEc:dau:thesis:123456789/116
    Note: dissertation
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    1. 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.
    2. Olivier Aj Bardou & Sandrine Bouthemy & Gilles Pag\`es, 2007. "Optimal quantization for the pricing of swing options," Papers 0705.2110, arXiv.org.
    3. 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.
    4. Geman, Hélyette & Roncoroni, Andréa, 2006. "Understanding the Fine Structure of Electricity Prices," Economics Papers from University Paris Dauphine 123456789/1433, Paris Dauphine University.
    5. Patrick Jaillet & Ehud I. Ronn & Stathis Tompaidis, 2004. "Valuation of Commodity-Based Swing Options," Management Science, INFORMS, vol. 50(7), pages 909-921, July.
    6. 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.
    7. Duffie, J Darrell & Huang, Chi-fu, 1985. "Implementing Arrow-Debreu Equilibria by Continuous Trading of Few Long-lived Securities," Econometrica, Econometric Society, vol. 53(6), pages 1337-56, November.
    8. 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.
    9. 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.
    10. Marcelo G. Figueroa, 2006. "Pricing Multiple Interruptible-Swing Contracts," Birkbeck Working Papers in Economics and Finance 0606, Birkbeck, Department of Economics, Mathematics & Statistics.
    11. René Carmona & Nizar Touzi, 2008. "Optimal Multiple Stopping And Valuation Of Swing Options," Mathematical Finance, Wiley Blackwell, vol. 18(2), pages 239-268.
    12. Merton, Robert C., 1975. "Option pricing when underlying stock returns are discontinuous," Working papers 787-75., Massachusetts Institute of Technology (MIT), Sloan School of Management.
    13. 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.
    14. 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 113-47.
    15. Hiroshi Shirakawa, 1991. "Interest Rate Option Pricing With Poisson-Gaussian Forward Rate Curve Processes," Mathematical Finance, Wiley Blackwell, vol. 1(4), pages 77-94.
    16. 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.
    17. M. T. Barlow, 2002. "A Diffusion Model For Electricity Prices," Mathematical Finance, Wiley Blackwell, vol. 12(4), pages 287-298.
    18. 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.
    19. H�lyette 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.
    20. Massimo Giovannini & Margherita Grasso & Alessandro Lanza & Matteo Manera, 2006. "Conditional correlations in the returns on oil companies stock prices and their determinants," Empirica, Springer, vol. 33(4), pages 193-207, September.
    21. 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 327-43.
    22. 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.
    23. 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.
    24. Evis K�llezi & Nick Webber, 2004. "Valuing Bermudan options when asset returns are Levy processes," Quantitative Finance, Taylor & Francis Journals, vol. 4(1), pages 87-100.
    25. 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.
    26. 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.
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