Ebook: Introduction to Stochastic Calculus Applied to Finance, Second Edition

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 comments on continuous-time processesBrownian motion Continuous-time martingales Stochastic integral and Itô calculus Stochastic differential equations THE BLACK-SCHOLES MODEL Description. Read more...