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Titlebook: Saddlepoint Approximation Methods in Financial Engineering; Yue Kuen Kwok,Wendong Zheng Book 2018 The Author(s) 2018 62P05;62E17;44A10.Sad

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發(fā)表于 2025-3-21 18:33:29 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Saddlepoint Approximation Methods in Financial Engineering
編輯Yue Kuen Kwok,Wendong Zheng
視頻videohttp://file.papertrans.cn/861/860453/860453.mp4
概述Illustrative examples help readers to assess the saddlepoint approximation formulas in various contexts.Appendices provide the background analytic tools used, making the book self-contained.Well suite
叢書名稱SpringerBriefs in Quantitative Finance
圖書封面Titlebook: Saddlepoint Approximation Methods in Financial Engineering;  Yue Kuen Kwok,Wendong Zheng Book 2018 The Author(s) 2018 62P05;62E17;44A10.Sad
描述This book summarizes recent advances in applying saddlepoint approximation methods to financial engineering. It addresses pricing exotic financial derivatives and calculating risk contributions to Value-at-Risk and Expected Shortfall in credit portfolios under various default correlation models. These standard problems involve the computation of tail probabilities and tail expectations of the corresponding underlying state variables.?..The text offers in a single source most of the saddlepoint approximation results in financial engineering, with different sets of ready-to-use approximation formulas. Much of this material may otherwise only be found in original research publications. The exposition and style are made rigorous by providing formal proofs of most of the results..Starting with a presentation of the derivation of a variety of saddlepoint approximation formulas in different contexts, this book will help new researchers to learn the fine technicalities ofthe topic. It will also be valuable to quantitative analysts in financial institutions who strive for effective valuation of prices of exotic financial derivatives and risk positions of portfolios of risky instruments...?.
出版日期Book 2018
關(guān)鍵詞62P05;62E17;44A10; Saddlepoint approximation; derivatives pricing; risk measures; financial engineering;
版次1
doihttps://doi.org/10.1007/978-3-319-74101-7
isbn_softcover978-3-319-74100-0
isbn_ebook978-3-319-74101-7Series ISSN 2192-7006 Series E-ISSN 2192-7014
issn_series 2192-7006
copyrightThe Author(s) 2018
The information of publication is updating

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沙發(fā)
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Saddlepoint Approximation Formulas for Pricing Options,g stock price under a Lévy model is known in closed form. By expressing the option price as the difference of two tail expectations under the risk neutral measure and share measure, they apply the Lugannani-Rice formula 2.15 to obtain the corresponding saddlepoint approximation of the European option price.
地板
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Cumulant Generating Functions and Steepest Descent Method,ls do not admit closed form analytic representation while their generalized Fourier transform and Laplace transform may have closed form formulas. The pricing of derivatives and computation of risk measures in general involve the evaluation of Fourier or Laplace type integrals. First, we discuss the
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發(fā)表于 2025-3-22 14:03:49 | 只看該作者
Saddlepoint Approximations to Density Functions, Tail Probabilities and Tail Expectations,les whose closed forms may not be tractable. Suppose the first few moments of the underlying distribution of a random variable are known, one may apply the Edgeworth type expansion up?to the order of the known moments.
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發(fā)表于 2025-3-22 19:01:12 | 只看該作者
Extended Saddlepoint Approximation Methods,point equation involves the first order derivative of the cgf and one can solve for the saddlepoint by a root finding algorithm. However, availability of analytic closed form of the cgf is limited to a small class of random processes. The effective implementation of the saddlepoint approximation bec
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2192-7006 alytic tools used, making the book self-contained.Well suiteThis book summarizes recent advances in applying saddlepoint approximation methods to financial engineering. It addresses pricing exotic financial derivatives and calculating risk contributions to Value-at-Risk and Expected Shortfall in cre
10#
發(fā)表于 2025-3-23 07:57:12 | 只看該作者
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