Topics in Numerical Methods for Finance

Language: English

Published by Springer, Springer, 2012

1461434327 / 9781461434320

Series: Book 18 of 464 - Springer Proceedings in Mathematics & Statistics

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Druck auf Anfrage Neuware - Printed after ordering - Presenting state-of-the-art methods in the area, the book begins with a presentation of weak discrete time approximations of jump-diffusion stochastic differential equations for derivatives pricing and risk measurement. Using a moving least squares reconstruction, a numerical approach is then developed that allows for the construction of arbitrage-free surfaces. Free boundary problems are considered next, with particular focus on stochastic impulse control problems that arise when the cost of control includes a fixed cost, common in financial applications. The text proceeds with the development of a fear index based on equity option surfaces, allowing for the measurement of overall fear levels in the market. The problem of American option pricing is considered next, applying simulation methods combined with regression techniques and discussing convergence properties. Changing focus to integral transform methods, a variety of option pricing problems are considered. The COS method is practically applied for the pricing of options under uncertain volatility, a method developed by the authors that relies on the dynamic programming principle and Fourier cosine series expansions. Efficient approximation methods are next developed for the application of the fast Fourier transform for option pricing under multifactor affine models with stochastic volatility and jumps. Following this, fast and accurate pricing techniques are showcased for the pricing of credit derivative contracts with discrete monitoring based on the Wiener-Hopf factorisation. With an energy theme, a recombining pentanomial lattice is developed for the pricing of gas swing contracts under regime switching dynamics. The book concludes with a linear and nonlinear review of the arbitrage-free parity theory for the CDS and bond markets.

Seller Inventory # 9781461434320

Title
Topics in Numerical Methods for Finance
Author
Mark Cummins
Publisher
Springer, Springer
Publication year
2012
Condition
Neu
Binding
Buch
Language
English
ISBN 10
1461434327
ISBN 13
9781461434320
Item weight
494 grams
Dimensions
241x160x15 mm
Series
Book 18 of 464: Springer Proceedings in Mathematics & Statistics

AHA-BUCH GmbH

Einbeck, Germany

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AbeBooks seller since August 14, 2006

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