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The Fitted Finite Volume and Power Penalty Methods for Option Pricing (SpringerBriefs in Applied Sciences and Technology)

By: Song Wang (Author)

Extended Catalogue

Ksh 10,250.00

Format: Paperback or Softback

ISBN-10: 9811595577

ISBN-13: 9789811595578

Collection / Series: SpringerBriefs in Applied Sciences and Technology

Collection Type: Publisher collection

Edition statement: 1st ed. 2020

Publisher: Springer Verlag, Singapore

Imprint: Springer Verlag, Singapore

Country of Manufacture: SG

Country of Publication: GB

Publication Date: Oct 28th, 2020

Publication Status: Active

Product extent: 94 Pages

Product Classification / Subject(s): Numerical analysis
Optimization
Applied mathematics

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The contents of the book consist of three parts: (i) basic theory of stochastic control and formulation of various option pricing models, (ii) design of finite volume, finite difference and penalty-based algorithms for solving the models and (iii) stability and convergence analysis of the algorithms.

This book contains mostly the author''s up-to-date research results in the area. Option pricing has attracted much attention in the past decade from applied mathematicians, statisticians, practitioners and educators. Many partial differential equation-based theoretical models have been developed for valuing various options. These models do not have any practical use unless their solutions can be found. However, most of these models are far too complex to solve analytically and numerical approximations have to be sought in practice.

The contents of the book consist of three parts: (i) basic theory of stochastic control and formulation of various option pricing models, (ii) design of finite volume, finite difference and penalty-based algorithms for solving the models and (iii) stability and convergence analysis of the algorithms. It also contains extensive numerical experiments demonstrating how these algorithms perform for practical problems.  The theoretical and numerical results demonstrate these algorithms provide efficient, accurate and easy-to-implement numerical tools for financial engineers to price options.

This book is appealing to researchers in financial engineering, optimal control and operations research. Financial engineers and practitioners will also find the book helpful in practice.


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