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Titlebook: Numerical Solution of Stochastic Differential Equations with Jumps in Finance; Eckhard Platen,Nicola Bruti-Liberati Textbook 2010 Springer

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發(fā)表于 2025-3-21 18:49:21 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Numerical Solution of Stochastic Differential Equations with Jumps in Finance
編輯Eckhard Platen,Nicola Bruti-Liberati
視頻videohttp://file.papertrans.cn/670/669218/669218.mp4
概述The presented book is accessible to a wide readership and contains many new results on numerical methods but also innovative methodologies in quantitative finance..To help the reader to develop a good
叢書名稱Stochastic Modelling and Applied Probability
圖書封面Titlebook: Numerical Solution of Stochastic Differential Equations with Jumps in Finance;  Eckhard Platen,Nicola Bruti-Liberati Textbook 2010 Springer
描述In financial and actuarial modeling and other areas of application, stochastic differential equations with jumps have been employed to describe the dynamics of various state variables. The numerical solution of such equations is more complex than that of those only driven by Wiener processes, described in Kloeden & Platen: Numerical Solution of Stochastic Differential Equations (1992). The present monograph builds on the above-mentioned work and provides an introduction to stochastic differential equations with jumps, in both theory and application, emphasizing the numerical methods needed to solve such equations. It presents many new results on higher-order methods for scenario and Monte Carlo simulation, including implicit, predictor corrector, extrapolation, Markov chain and variance reduction methods, stressing the importance of their numerical stability. Furthermore, it includes chapters on exact simulation, estimation and filtering. Besides serving as a basic text on quantitativemethods, it offers ready access to a large number of potential research problems in an area that is widely applicable and rapidly expanding. Finance is chosen as the area of application because much o
出版日期Textbook 2010
關鍵詞Variance; jump diffusions; linear optimization; numerical methods; quantitative finance; simulation; stoch
版次1
doihttps://doi.org/10.1007/978-3-642-13694-8
isbn_softcover978-3-662-51973-8
isbn_ebook978-3-642-13694-8Series ISSN 0172-4568 Series E-ISSN 2197-439X
issn_series 0172-4568
copyrightSpringer-Verlag Berlin Heidelberg 2010
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沙發(fā)
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Stochastic Modelling and Applied Probabilityhttp://image.papertrans.cn/n/image/669218.jpg
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https://doi.org/10.1007/978-3-642-13694-8Variance; jump diffusions; linear optimization; numerical methods; quantitative finance; simulation; stoch
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,Regular Strong It? Approximations, presented in the previous chapter. These approximations belong to the class of regular strong It? schemes, which includes derivative-free, implicit and predictor-corrector schemes. More details on some of the results to be presented in this chapter can be found in Bruti-Liberati, Nikitopoulos-Sklibosios & Platen . and Bruti-Liberati & Platen ..
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