@misc{Nowak_Piotr._Autor_Application_2003, author={Nowak, Piotr. Autor and Romaniuk, Maciej. Autor}, copyright={Creative Commons Attribution BY 4.0 license}, address={Warszawa}, journal={Raport Badawczy = Research Report}, howpublished={online}, year={2003}, publisher={Instytut BadaƄ Systemowych. Polska Akademia Nauk}, publisher={Systems Research Institute. Polish Academy of Sciences}, language={eng}, abstract={Classical Black-Scholes formula is a widely known result for European-style option pricing. However, this model does not explain entirely the behavior of real stock markets. In this paper we present the extension of Black-Scholes model to Levy process with jump components. Our methodology is based on Monte Carlo simulations and martingale theory. Also an application for pricing S&P 500 option is presented.}, title={Application of Levy process with jump components for option pricing}, type={Text}, keywords={Option pricing, Symulacje, Martingale theory, Wycena opcji, Simulation, Black scholes model, Model blacka scholesa, Simulations}, }