The Fitted Finite Volume and Power Penalty Methods for Option Pricing
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Beschreibung
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.
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 numericalresults 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.
Offers a state-of-the-art combination of option pricing theory, numerical PDEs and optimization algorithms Provides the state-of-the-art numerical algorithms and theories for pricing financial options of various types for financial engineers and practitioners Serves as a reference book for researchers and research students on the latest advances in numerical solution of option valuation problems
Autor*in
Song Wang
Themen in »The Fitted Finite Volume and Power Penalty Methods for Option Pricing«
Option Pricing Computational Finance Black-Scholes Equations Numerical Analysis Optimization Finite Volume Method Variational Inequality Penalty Methods Optimal Control
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“It is intended not only for specialists working in this scientific field but also for that part of the ‘academic audience’ that has to go its way from university education to serious scientific excellence! … The monograph is exclusively professionally written and the materials are presented in an attractive way.” (Nikolay Kyurkchiev, zbMATH 1458.91008, 2021)
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