Monte Carlo Methods in Financial Engineering

1. Auflage. Softcover version of original hardcover Auflage 2003
ISBN: 978-1-4419-1822-2
Verlag: Springer

Buch, Englisch, Band 53, 596 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 914 g

Reihe: Stochastic Modelling and Applied Probability

Monte Carlo simulation has become an essential tool in the pricing of derivative securities and in risk management. These applications have, in turn, stimulated research into new Monte Carlo methods and renewed interest in some older techniques.

This book develops the use of Monte Carlo methods in finance and it also uses simulation as a vehicle for presenting models and ideas from financial engineering. It divides roughly into three parts. The first part develops the fundamentals of Monte Carlo methods, the foundations of derivatives pricing, and the implementation of several of the most important models used in financial engineering. The next part describes techniques for improving simulation accuracy and efficiency. The final third of the book addresses special topics: estimating price sensitivities, valuing American options, and measuring market risk and credit risk in financial portfolios.

The most important prerequisite is familiarity with the mathematical tools used to specify and analyze continuous-time models in finance, in particular the key ideas of stochastic calculus. Prior exposure to the basic principles of option pricing is useful but not essential.

The book is aimed at graduate students in financial engineering, researchers in Monte Carlo simulation, and practitioners implementing models in industry.

Mathematical Reviews, 2004: ". this book is very comprehensive, up-to-date and useful tool for those who are interested in implementing Monte Carlo methods in a financial context."

Zielgruppe

Graduate

Autoren/Hrsg.

Glasserman, Paul

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Wirtschaftswissenschaften Betriebswirtschaft Wirtschaftsmathematik und -statistik
• Mathematik | Informatik Mathematik Stochastik Mathematische Statistik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
• Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung
• Wirtschaftswissenschaften Volkswirtschaftslehre Volkswirtschaftslehre Allgemein Ökonometrie
• Wirtschaftswissenschaften Finanzsektor & Finanzdienstleistungen Finanzsektor & Finanzdienstleistungen: Allgemeines

Inhaltsverzeichnis

1 Foundations.- 2 Generating Random Numbers and Random Variables.- 3 Generating Sample Paths.- 4 Variance Reduction Techniques.- 5 Quasi-Monte Carlo.- 6 Discretization Methods.- 7 Estimating Sensitivities.- 8 Pricing American Options.- 9 Applications in Risk Management.- A Appendix: Convergence and Confidence Intervals.- A.1 Convergence Concepts.- A.2 Central Limit Theorem and Confidence Intervals.- B Appendix: Results from Stochastic Calculus.- B.1 Itô’s Formula.- B.2 Stochastic Differential Equations.- B.3 Martingales.- B.4 Change of Measure.- C Appendix: The Term Structure of Interest Rates.- C.1 Term Structure Terminology.- C.2 Interest Rate Derivatives.- References.