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Introduction to Stochastic Calculus Applied to Finance, Second Edition

✍ Scribed by Lamberton, Damien; Lapeyre, Bernard


Publisher
CRC Press
Year
2011
Tongue
English
Leaves
253
Series
Chapman & Hall/CRC financial mathematics series
Edition
2nd ed
Category
Library

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✦ Synopsis


INTRODUCTION DISCRETE-TIME MODELS Discrete-time formalismMartingales and arbitrage opportunities Complete markets and option pricing Problem: Cox, Ross and Rubinstein model OPTIMAL STOPPING PROBLEM AND AMERICAN OPTIONS Stopping time The Snell envelope Decomposition of supermartingales Snell envelope and Markov chains Application to American options BROWNIAN MOTION AND STOCHASTIC DIFFERENTIAL EQUATIONS General Read more...


Abstract:
Suitable for students of mathematical finance, or a quick introduction to researchers and finance practitioners. This book covers the stochastic calculus theory required, as well as many key finance Read more...

✦ Table of Contents


Content: Front cover
Preface to the second edition
Contents
Introduction
Chapter 1: Discrete-time models
Chapter 2: Optimal stopping problem and American options
Chapter 3: Brownian motion and stochastic di˙erentialequations
Chapter 4: The Black-Scholes model
Chapter 5: Option pricing and partial differential equations
Chapter 6: Interest rate models
Chapter 7: Asset models with jumps
Chapter 8: Credit risk models
Chapter 9: Simulation and algorithms for financial models
Appendix
Bibliography
Back cover

✦ Subjects


Финансово-экономические дисциплины;Финансовая математика;


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