Mathematical finance

• 作者： Eberlein, Ernst, author.
• 其他作者：
  • Kallsen, Jan, author.
  • SpringerLink (Online service)
• 其他題名：
  • Springer finance.
• 出版： Cham : Springer International Publishing :Imprint: Springer
• 叢書名： Springer finance,
• 主題： Economics, Mathematical. , Quantitative Finance. , Probability Theory and Stochastic Processes. , Financial Engineering. , Risk Management. , Financial Mathematics.
• ISBN： 9783030261061 (electronic bk.) 、 9783030261054 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: Part I -- Stochastic Calculus -- Overview -- Discrete Stochastic Calculus -- Levy Processes -- Stochastic Integration -- Semimartingale Characteristics -- Markov Processes -- Affine and Polynomial Processes -- Optimal Control -- Mathematical Finance -- Overview and Notation -- Equity models -- Markets, Strategies, Arbitrage -- Optimal Investment -- Arbitrage-Based Valuation and Hedging of Derivatives -- Mean-Variance Hedging -- Utility-Based Valuation and Hedging of Derivatives -- Interest Rate Models.
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• 摘要註: Taking continuous-time stochastic processes allowing for jumps as its starting and focal point, this book provides an accessible introduction to the stochastic calculus and control of semimartingales and explains the basic concepts of Mathematical Finance such as arbitrage theory, hedging, valuation principles, portfolio choice, and term structure modelling. It bridges thegap between introductory texts and the advanced literature in the field. Most textbooks on the subject are limited to diffusion-type models which cannot easily account for sudden price movements. Such abrupt changes, however, can often be observed in real markets. At the same time, purely discontinuous processes lead to a much wider variety of flexible and tractable models. This explains why processes with jumps have become an established tool in the statistics and mathematics of finance. Graduate students, researchers as well as practitioners will benefit from this monograph.
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