Stochastic Processes with Applications to Finance

Kijima Masaaki

ISBN 10: 1584882247 / ISBN 13: 9781584882244

Published by Chapman & Hall CRC, Boca Raton and London, 2003

About this Item

From an academic library with the usual stamps and labels. Apart from the library evidence a very good copy.

Seller Inventory # A00018632

Bibliographic Details

• Title: Stochastic Processes with Applications to Finance
• Publisher: Chapman & Hall CRC, Boca Raton and London
• Publication Date: 2003
• Language: English
• ISBN 10: 1584882247
• ISBN 13: 9781584882244
• Binding: Hard Cover
• Edition: First Edition.
• Condition: Good
• Dust Jacket Condition: No Jacket
• Book Type: A00018632

About this title

Synopsis

In recent years, modeling financial uncertainty using stochastic processes has become increasingly important, but it is commonly perceived as requiring a deep mathematical background. Stochastic Processes with Applications to Finance shows that this is not necessarily so. It presents the theory of discrete stochastic processes and their applications in finance in an accessible treatment that strikes a balance between the abstract and the practical.

Using an approach that views sophisticated stochastic calculus as based on a simple class of discrete processes-"random walks"-the author first provides an elementary introduction to the relevant areas of real analysis and probability. He then uses random walks to explain the change of measure formula, the reflection principle, and the Kolmogorov backward equation. The Black-Scholes formula is derived as a limit of binomial model, and applications to the pricing of derivative securities are presented. Another primary focus of the book is the pricing of corporate bonds and credit derivatives, which the author explains in terms of discrete default models.

By presenting important results in discrete processes and showing how to transfer those results to their continuous counterparts, Stochastic Processes with Applications to Finance imparts an intuitive and practical understanding of the subject. This unique treatment is ideal both as a text for a graduate-level class and as a reference for researchers and practitioners in financial engineering, operations research, and mathematical and statistical finance.