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Titlebook: Novel Methods in Computational Finance; Matthias Ehrhardt,Michael Günther,E. Jan W. ter Ma Book 2017 Springer International Publishing AG

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发表于 2025-3-21 16:07:48 | 显示全部楼层 |阅读模式
书目名称Novel Methods in Computational Finance
编辑Matthias Ehrhardt,Michael Günther,E. Jan W. ter Ma
视频video
概述Offers new or improved methods for dealing with volatility of the financial market.Includes concise discussion of modelling, analysis and numerical solution methods for nonlinear Black-Scholes equatio
丛书名称Mathematics in Industry
图书封面Titlebook: Novel Methods in Computational Finance;  Matthias Ehrhardt,Michael Günther,E. Jan W. ter Ma Book 2017 Springer International Publishing AG
描述.This book discusses the state-of-the-art and open problems in computational finance. It presents a collection of research outcomes and reviews of the work from the STRIKE project, an FP7 Marie Curie Initial Training Network (ITN) project in which academic partners trained early-stage researchers in close cooperation with a broader range of associated partners, including from the private sector...The aim of the project was to arrive at a deeper understanding of complex (mostly nonlinear) financial models and to develop effective and robust numerical schemes for solving linear and nonlinear problems arising from the mathematical theory of pricing financial derivatives and related financial products. This was accomplished by means of financial modelling, mathematical analysis and numerical simulations, optimal control techniques and validation of models...In recent years the computational complexity of mathematical models employed in financial mathematics has witnessed tremendous growth. Advanced numerical techniques are now essential to the majority of present-day applications in the financial industry...Special attention is devoted to a uniform methodology for both testing the late
出版日期Book 2017
关键词nonlinear Black-Scholes equations; Lie Algebra techniques; Lévy methods; high-dimensional partial diffe
版次1
doihttps://doi.org/10.1007/978-3-319-61282-9
isbn_softcover978-3-319-87040-3
isbn_ebook978-3-319-61282-9Series ISSN 1612-3956 Series E-ISSN 2198-3283
issn_series 1612-3956
copyrightSpringer International Publishing AG 2017
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发表于 2025-3-21 21:12:35 | 显示全部楼层
A Highly Efficient Numerical Method for the SABR Model some known issues of the implied volatility expression for small strike values are overcome. A generalization of this technique to the multiple time-step case has been presented in Leitao et al. (On an efficient multiple time-step Monte Carlo simulation of the SABR model 2016, submitted for publication. Available at SSRN: .).
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Accurate Vega Calculation for Bermudan Swaptionshift of single volatility surface grid points. Thus this procedure may underestimate sensitivities. In this chapter, we demonstrate how Adjoint Algorithmic Differentiation can be used to calculate accurate and stable Vegas without loss of performance.
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1612-3956 merical solution methods for nonlinear Black-Scholes equatio.This book discusses the state-of-the-art and open problems in computational finance. It presents a collection of research outcomes and reviews of the work from the STRIKE project, an FP7 Marie Curie Initial Training Network (ITN) project i
发表于 2025-3-22 18:55:08 | 显示全部楼层
Nonlinear Parabolic Equations Arising in Mathematical Financens, both problems can be represented by solutions to nonlinear parabolic equations. Qualitative analysis will be focused on issues concerning the existence and uniqueness of solutions. In the numerical part we discuss a stable finite-volume and finite difference schemes for solving fully nonlinear parabolic equations.
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Stochastic Dynamic Programming and Control of Markov Processests of the dynamic programming principle and Hamilton-Jacobi-Bellman equations and their potential as tools to solve a large array of optimization problems, without paying too much attention to the technical difficulties that often arise in concrete applications.
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