Pricing of exotic options under Kou model by using Laplace transform : Pricing of exotic options

ISBN-13: 9783846533796 / Angielski / Miękka / 2011 / 72 str.

Gayk Dzharayan; Elena Voronova

Opis

Nowadays the knowledge about pricing of ordinary derivatives is generally used and investors become interested in more complex products such as the exotic options. For people dealing with options in the market it is important to be able to price these specific derivatives. In this book, we focus on the pricing and modeling of such derivative products. So far, the Black-Scholes model has a huge influence on the way that traders price and hedge options. Despite the successes of Black-Scholes model, it has some shortcomings, emerged from many empirical investigations. Many models are produced to modify Black-Scholes model. Our objective was to consider the Kou model, to use the Laplace transform and it's Euler inversion algorithm to price plain vanilla and exotic options. We applied the research results to valuation of options in the real market. We wrote our own program in the software for statistical computing R and presented results on the example of the NASDAQ OMX Stocholm Market, considering the two-asset correlation options. We can assert that the observable option pricing method can be implemented to the real market and it will be useful for the market participants.

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O autorze

Gayk Dzharayan had done the work with co-author Elena Voronova for graduation at Halmstad University in 2011. In this year they got Master degree twice with different specializations: in Sweden Financial Mathematics and in Russia Corporate Finance. They participate in international conferences and are the authors of several published articles.