Introduction to Stochastic Calculus Applied to Finance

Introduction to Stochastic Calculus Applied to Finance

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Table of contents:Introduction. Discrete-time models. Optimal stopping problem and American options. Brownian motion and stochastic differential equations. The Black-Scholes model. Option pricing and partial differential equations. Interest rate models. Asset models with jumps. Simulation and algorithms for financial models. Appendix. References. IndexIn recent years the growing importance of derivative products financial markets has increased the demand for mathematical skills in financial institutions. The purpose of this book is to introduce the mathematical methods of financial modelling t...