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Numerical probability = an introduct...

Pages, Gilles.

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Numerical probability = an introduction with applications to finance /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Numerical probability/ by Gilles Pages.
其他題名:	an introduction with applications to finance /
作者:	Pages, Gilles.
出版者:	Cham :Springer International Publishing : : 2018.,
面頁冊數:	xxi, 579 p. :digital ;24 cm.
內容註:	1 Simulation of random variables -- 2 The Monte Carlo method and applications to option pricing -- 3 Variance reduction -- 4 The Quasi-Monte Carlo method -- 5 Optimal Quantization methods I: cubatures -- 6 Stochastic approximation with applications to finance -- 7 Discretization scheme(s) of a Brownian diffusion -- 8 The diffusion bridge method: application to path-dependent options (II) -- 9 Biased Monte Carlo simulation, Multilevel paradigm -- 10 Back to sensitivity computation -- 11 Optimal stopping, Multi-asset American/Bermuda Options -- 12 Miscellany.
Contained By:	Springer eBooks
標題:	Quantitative Finance. -
電子資源:	http://dx.doi.org/10.1007/978-3-319-90276-0
ISBN:	9783319902760

Numerical probability = an introduction with applications to finance /
Pages, Gilles.

Numerical probabilityan introduction with applications to finance /[electronic resource] :by Gilles Pages. - Cham :Springer International Publishing :2018. - xxi, 579 p. :digital ;24 cm. - Universitext,0172-5939. - Universitext..

1 Simulation of random variables -- 2 The Monte Carlo method and applications to option pricing -- 3 Variance reduction -- 4 The Quasi-Monte Carlo method -- 5 Optimal Quantization methods I: cubatures -- 6 Stochastic approximation with applications to finance -- 7 Discretization scheme(s) of a Brownian diffusion -- 8 The diffusion bridge method: application to path-dependent options (II) -- 9 Biased Monte Carlo simulation, Multilevel paradigm -- 10 Back to sensitivity computation -- 11 Optimal stopping, Multi-asset American/Bermuda Options -- 12 Miscellany.

This textbook provides a self-contained introduction to numerical methods in probability with a focus on applications to finance. Topics covered include the Monte Carlo simulation (including simulation of random variables, variance reduction, quasi-Monte Carlo simulation, and more recent developments such as the multilevel paradigm), stochastic optimization and approximation, discretization schemes of stochastic differential equations, as well as optimal quantization methods. The author further presents detailed applications to numerical aspects of pricing and hedging of financial derivatives, risk measures (such as value-at-risk and conditional value-at-risk), implicitation of parameters, and calibration. Aimed at graduate students and advanced undergraduate students, this book contains useful examples and over 150 exercises, making it suitable for self-study.

ISBN: 9783319902760

Standard No.: 10.1007/978-3-319-90276-0doiSubjects--Topical Terms:

891090
Quantitative Finance.

LC Class. No.: QA273 / .P344 2018

Dewey Class. No.: 519.2

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520 $a This textbook provides a self-contained introduction to numerical methods in probability with a focus on applications to finance. Topics covered include the Monte Carlo simulation (including simulation of random variables, variance reduction, quasi-Monte Carlo simulation, and more recent developments such as the multilevel paradigm), stochastic optimization and approximation, discretization schemes of stochastic differential equations, as well as optimal quantization methods. The author further presents detailed applications to numerical aspects of pricing and hedging of financial derivatives, risk measures (such as value-at-risk and conditional value-at-risk), implicitation of parameters, and calibration. Aimed at graduate students and advanced undergraduate students, this book contains useful examples and over 150 exercises, making it suitable for self-study.
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