Méthodes numériques pour la valorisation d'options swings et autres problèmes sur les matières premières
AbstractThe 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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Bibliographic InfoThis book is provided by Paris Dauphine University in its series Economics Thesis from University Paris Dauphine with number 123456789/116 and published in 2008.
Monte Carlo Method; Raw Materials; Stocks; Stochastic Processes; Matières premières; Actions de sociétés; Méthode de Monte-Carlo; Options exotiques; Processus stochastiques;
Find related papers by JEL classification:
- G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies; Insider Trading
- G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
- G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
- D5 - Microeconomics - - General Equilibrium and Disequilibrium
- O13 - Economic Development, Technological Change, and Growth - - Economic Development - - - Agriculture; Natural Resources; Environment; Other Primary Products
- C87 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Econometric Software
- C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
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