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Stochastic Methods in Asset Pricing

Andrew Lyasoff (Boston University)

$150

Hardback

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English
MIT Press
25 August 2017
Series: The MIT Press
A comprehensive overview of the theory of stochastic processes and its connections to asset pricing, accompanied by some concrete applications.

This book presents a self-contained, comprehensive, and yet concise and condensed overview of the theory and methods of probability, integration, stochastic processes, optimal control, and their connections to the principles of asset pricing. The book is broader in scope than other introductory-level graduate texts on the subject, requires fewer prerequisites, and covers the relevant material at greater depth, mainly without rigorous technical proofs. The book brings to an introductory level certain concepts and topics that are usually found in advanced research monographs on stochastic processes and asset pricing, and it attempts to establish greater clarity on the connections between these two fields.

The book begins with measure-theoretic probability and integration, and then develops the classical tools of stochastic calculus, including stochastic calculus with jumps and Levy processes. For asset pricing, the book begins with a brief overview of risk preferences and general equilibrium in incomplete finite endowment economies, followed by the classical asset pricing setup in continuous time. The goal is to present a coherent single overview. For example, the text introduces discrete-time martingales as a consequence of market equilibrium considerations and connects them to the stochastic discount factors before offering a general definition. It covers concrete option pricing models (including stochastic volatility, exchange options, and the exercise of American options), Merton's investment-consumption problem, and several other applications. The book includes more than 450 exercises (with detailed hints). Appendixes cover analysis and topology and computer code related to the practical applications discussed in the text.

By:  
Imprint:   MIT Press
Country of Publication:   United States
Dimensions:   Height: 229mm,  Width: 152mm,  Spine: 29mm
ISBN:   9780262036559
ISBN 10:   026203655X
Series:   The MIT Press
Pages:   632
Publication Date:  
Recommended Age:   From 18 to 99 years
Audience:   College/higher education ,  Primary
Format:   Hardback
Publisher's Status:   Active

Andrew Lyasoff is affiliated with the Mathematical Finance Program at Boston University's Questrom School of Business.

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