Martingale methods in financial modelling

"This book provides a comprehensive, self-contained and up-to-date treatment of the main topics in the theory of option pricing. The first part of the text starts with discrete-time models of financial markets, including the Cox-Ross-Rubinstein binomial model. The passage from discrete- to cont...

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Main Author: Musiela, Marek, 1950-
Other Authors: Rutkowski, Marek, 1952-, SpringerLink (Online service)
Format: eBook
Language: English
Published: Berlin ; New York : Springer, ©2005.
Berlin ; New York : [2005]
Physical Description: 1 online resource (xvi, 636 pages).
Edition: 2nd ed.
Series: Stochastic modelling and applied probability ; 36.
Subjects:
Table of Contents:
  • An Introduction to Financial Derivatives
  • The Cox-Ross-Rubinstein Model
  • Finite Security Markets
  • The Black-Scholes Model
  • Foreign Market Derivatives
  • Americal Options
  • Exotic Options
  • Continuous-time Security Markets
  • Interest Rates and Related Contracts
  • Models of the Short-term Rate
  • Models of Instantaneous Forward Rates
  • Models of Bond Prices and LIBOR Rates
  • Option Valuation in Gaussian Models
  • Swap Derivatives
  • Cross-currency Derivatives. Appendices: Conditional Expectations, Itô Stochastic Calculus.