This thesis seeks to provide an overview on the use of Mellin transforms in Option pricing and to explain related issues. After introducing some basic concepts of Stochastic analysis and Option pricing, we use Mellin transforms as a tool to uncover formulas for pricing of different types of financial derivatives, such as European vanilla and power options, or the American options. Most of this content can be regarded as a summary of existing results on the use of Mellin transforms in option pricing. The main added value of the thesis is the deeper mathematical analysis which most of the preceding studies were lacking. In fact, although Mellin transforms offer an exceedingly convenient tool under the operational (optimistic) approach, the detailed analysis of its use is rather nontrivial.
This thesis seeks to provide an overview on the use of Mellin transforms in Option pricing and to explain related issues. After introducing some basic concepts of Stochastic analysis and Option pricing, we use Mellin transforms as a tool to uncover formulas for pricing of different types of financial derivatives, such as European vanilla and power options, or the American options. Most of this content can be regarded as a summary of existing results on the use of Mellin transforms in option pricing. The main added value of the thesis is the deeper mathematical analysis which most of the preceding studies were lacking. In fact, although Mellin transforms offer an exceedingly convenient tool under the operational (optimistic) approach, the detailed analysis of its use is rather nontrivial.
This book contains tables of integrals of the Mellin transform type z-l J (a) 1> (z) q,(x)x dx o t Since the substitution x = e- transforms (a) into (b) 1> (z) the Mellin transform is sometimes...
Since the appearance of seminal works by R. Merton, and F. Black and M. Scholes, stochastic processes have assumed an increasingly important role in the development of the mathematical theory of ...
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of...
This comprehensive guide offers traders, quants, and students the tools and techniques for using advanced models for pricing options. The accompanying website includes data files, such as options...
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