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Titlebook: Change of Time Methods in Quantitative Finance; Anatoliy Swishchuk Book 2016 The Author 2016 Change of Time Method.Geometric Brownian Moti

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发表于 2025-3-21 18:37:19 | 显示全部楼层 |阅读模式
书目名称Change of Time Methods in Quantitative Finance
编辑Anatoliy Swishchuk
视频video
概述New approach in quantitative finance-change of time method (for standard diffusion and Levy-based finance models), which is different from a traditional one using subordinators.Contains the solutions
丛书名称SpringerBriefs in Mathematics
图书封面Titlebook: Change of Time Methods in Quantitative Finance;  Anatoliy Swishchuk Book 2016 The Author 2016 Change of Time Method.Geometric Brownian Moti
描述.This book is devoted to the history of Change of Time Methods (CTM), the connections of CTM to stochastic volatilities and finance, fundamental aspects of the theory of CTM, basic concepts, and its properties. An emphasis is given on many applications of CTM in financial and energy markets, and the presented numerical examples are based on real data. The change of time method is applied to derive the well-known Black-Scholes formula for European call options, and to derive an explicit option pricing formula for a European call option for a mean-reverting model for commodity prices. Explicit formulas are also derived for variance and volatility swaps for financial markets with a stochastic volatility following a classical and delayed Heston model. The CTM is applied to price financial and energy derivatives for one-factor and multi-factor alpha-stable Levy-based models.. .Readers should have a basic knowledge of probability and statistics, and some familiarity with stochastic processes, such as Brownian motion, Levy process and martingale...
出版日期Book 2016
关键词Change of Time Method; Geometric Brownian Motion; Mean-reverting Asset; Multi-factor Levy Models; Stocha
版次1
doihttps://doi.org/10.1007/978-3-319-32408-1
isbn_softcover978-3-319-32406-7
isbn_ebook978-3-319-32408-1Series ISSN 2191-8198 Series E-ISSN 2191-8201
issn_series 2191-8198
copyrightThe Author 2016
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发表于 2025-3-22 00:15:30 | 显示全部楼层
Generation of problem solving cases,t models, and Lévy-based Schwartz-Smith and Schwartz models. Using the change of time method for SDEs driven by .-stable Lévy processes, we present the solutions of these equations in simple and compact forms. We then apply this method to price many financial and energy derivatives such as variance swaps, options, forward, and futures contracts.
发表于 2025-3-22 04:25:45 | 显示全部楼层
Applications of the Change of Time Methods,ty swaps for the delayed Heston model. This chapter not only describes the applications of the change of time method but also constitutes the ultimate difference between Barndorff-Nielsen-Shiryaev’s book (2010) and present book.
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2191-8198 traditional one using subordinators.Contains the solutions .This book is devoted to the history of Change of Time Methods (CTM), the connections of CTM to stochastic volatilities and finance, fundamental aspects of the theory of CTM, basic concepts, and its properties. An emphasis is given on many
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The First Routes of the New Discipline,any proofs of this result, including PDE and martingale approaches, (see Wilmott et al. .; Elliott and Kopp .). The present approach, using change of time of getting the Black-Scholes formula, was first shown in Swishchuk (.).
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