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Numerical probability = an introduction with applications to finance /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Numerical probability/ by Gilles Pages.
Reminder of title:	an introduction with applications to finance /
Author:	Pages, Gilles.
Published:	Cham :Springer International Publishing : : 2018.,
Description:	xxi, 579 p. :digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Probabilities. -
Online resource:	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:

527847
Probabilities.

LC Class. No.: QA273 / .P344 2018

Dewey Class. No.: 519.2

Numerical probability = an introduction with applications to finance /
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505 0 $a 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.
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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