Applications of Fourier Transform to Smile Modeling Theory and Implementation /

The sound modeling of the smile effect is an important issue in quantitative finance as, for more than a decade, the Fourier transform has established itself as the most efficient tool for deriving closed-form option pricing formulas in various model classes. This book describes the applications of...

Full description

Bibliographic Details
Main Author: Zhu, Jianwei. (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
Series:Springer Finance
Subjects:
Online Access:https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-642-01808-4
Table of Contents:
  • Option Valuation and the Volatility Smile
  • Characteristic Functions in Option Pricing
  • Stochastic Volatility Models
  • Numerical Issues of Stochastic Volatility Models
  • Simulating Stochastic Volatility Models
  • Stochastic Interest Models
  • Poisson Jumps
  • Lv̌y Jumps
  • Integrating Various Stochastic Factors
  • Exotic Options with Stochastic Volatilities
  • Libor Market Model with Stochastic Volatilities.