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Stochastic Calculus for Financial Modeling with Stochastic Volatility

Stochastic Calculus for Financial Modeling with Stochastic Volatility

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Product Details
Author:
Aziz Arbai
Publisher:
LAP Lambert Academic Publishing
Publication Date:
Oct 14, 2019
Number of pages:
108 pages
Binding:
Paperback or Softback
ISBN-10:
6200434816
ISBN-13:
9786200434814

Overview

I dedicate this work to my father that he rest in peace Mr. Amar Arbai. Index returns are subject of several sources of uncertainty. To better model market, searchers required a Levy process to master randomness. Through this book, we discuss some particular Levy process corresponding to different structure of financial series, to show whether the data are free or include diffusion component and whether the process contains finite or infinite variation. Then, we attempt to provide an alternative approach, Fourier transform, to pricing European option under SVJJ and CGMY models since their probability density functions are unknowns. For ending, we deal with necessary tools for understanding and implementing paths through Monte Carlo simulation and make use the efficient numerical pattern which serve to fulfill the closed-form analytical solution for European call option.


  • | Author: Aziz Arbai
  • | Publisher: LAP Lambert Academic Publishing
  • | Publication Date: Oct 14, 2019
  • | Number of Pages: 108 pages
  • | Binding: Paperback or Softback
  • | ISBN-10: 6200434816
  • | ISBN-13: 9786200434814

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