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Large deviations and asymptotic meth...

Friz, Peter K.

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Large deviations and asymptotic methods in finance

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Large deviations and asymptotic methods in finance/ edited by Peter K. Friz ... [et al.].
other author:	Friz, Peter K.
Published:	Cham :Springer International Publishing : : 2015.,
Description:	ix, 590 p. :ill., digital ;24 cm.
[NT 15003449]:	Hagan, Lesniewski, Woodward: Probability Distribution in the SABR Model of Stochastic Volatility -- Paulot: Asymptotic Implied Volatility at the Second Order with Application to the SABR Model -- Henry-Labordere: Unifying the BGM and SABR Models: A Short Ride in Hyperbolic Geometry -- Ben Arous, Laurence: Second Order Expansion for Implied Volatility in Two Factor Local-stochastic Volatility -- Osajima: General Asymptotics of Wiener Functionals and Application to Implied Volatilities -- Bayer, Laurence: Small-time asymptotics for the at-the-money implied volatility in a multi-dimensional local volatility model -- Keller-Ressel, Teichmann: A Remark on Gatheral's 'Most-likely Path Approximation' of Implied Volatility -- Gatheral, Wang: Implied volatility from local volatility: a path integral approach -- Gerhold, Friz: Don't Stay Local - Extrapolation Analytics for Dupire's Local Volatility -- Gulisashvili, Teichmann: Laplace Principle Expansions and Short Time Asymptotics for Affine Processes -- Lorig, Pascucci, Pagliarani: Asymptotics for d-dimensional Levy-type Processes -- Takahashi: An Asymptotic Expansion Approach in Finance -- Baudoin, Ouyang: On small time asymptotics for rough differential equations driven by fractional Brownian motions -- Lucic: On singularities in the Heston model -- Bayer, Friz, Laurence: On the probability density function of baskets -- Conforti, De Marco, Deuschel: On small-noise equations with degenerate limiting system arising from volatility models -- Pham: Long time asymptotic problems for optimal investment -- Spiliopoulos: Systemic Risk and Default Clustering for Large Financial Systems -- Jacod, Rosenbaum: Asymptotic Properties of a Volatility Estimator.
Contained By:	Springer eBooks
Subject:	Finance - Statistical methods. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-11605-1
ISBN:	9783319116051 (electronic bk.)

Large deviations and asymptotic methods in finance
Large deviations and asymptotic methods in finance[electronic resource] /edited by Peter K. Friz ... [et al.]. - Cham :Springer International Publishing :2015. - ix, 590 p. :ill., digital ;24 cm. - Springer proceedings in mathematics & statistics,v.1102194-1009 ;. - Springer proceedings in mathematics & statistics ;v.19..

Hagan, Lesniewski, Woodward: Probability Distribution in the SABR Model of Stochastic Volatility -- Paulot: Asymptotic Implied Volatility at the Second Order with Application to the SABR Model -- Henry-Labordere: Unifying the BGM and SABR Models: A Short Ride in Hyperbolic Geometry -- Ben Arous, Laurence: Second Order Expansion for Implied Volatility in Two Factor Local-stochastic Volatility -- Osajima: General Asymptotics of Wiener Functionals and Application to Implied Volatilities -- Bayer, Laurence: Small-time asymptotics for the at-the-money implied volatility in a multi-dimensional local volatility model -- Keller-Ressel, Teichmann: A Remark on Gatheral's 'Most-likely Path Approximation' of Implied Volatility -- Gatheral, Wang: Implied volatility from local volatility: a path integral approach -- Gerhold, Friz: Don't Stay Local - Extrapolation Analytics for Dupire's Local Volatility -- Gulisashvili, Teichmann: Laplace Principle Expansions and Short Time Asymptotics for Affine Processes -- Lorig, Pascucci, Pagliarani: Asymptotics for d-dimensional Levy-type Processes -- Takahashi: An Asymptotic Expansion Approach in Finance -- Baudoin, Ouyang: On small time asymptotics for rough differential equations driven by fractional Brownian motions -- Lucic: On singularities in the Heston model -- Bayer, Friz, Laurence: On the probability density function of baskets -- Conforti, De Marco, Deuschel: On small-noise equations with degenerate limiting system arising from volatility models -- Pham: Long time asymptotic problems for optimal investment -- Spiliopoulos: Systemic Risk and Default Clustering for Large Financial Systems -- Jacod, Rosenbaum: Asymptotic Properties of a Volatility Estimator.

Topics covered in this volume (large deviations, differential geometry, asymptotic expansions, central limit theorems) give a full picture of the current advances in the application of asymptotic methods in mathematical finance, and thereby provide rigorous solutions to important mathematical and financial issues, such as implied volatility asymptotics, local volatility extrapolation, systemic risk and volatility estimation. This volume gathers together ground-breaking results in this field by some of its leading experts. Over the past decade, asymptotic methods have played an increasingly important role in the study of the behaviour of (financial) models. These methods provide a useful alternative to numerical methods in settings where the latter may lose accuracy (in extremes such as small and large strikes, and small maturities), and lead to a clearer understanding of the behaviour of models, and of the influence of parameters on this behaviour. Graduate students, researchers and practitioners will find this book very useful, and the diversity of topics will appeal to people from mathematical finance, probability theory and differential geometry.

ISBN: 9783319116051 (electronic bk.)

Standard No.: 10.1007/978-3-319-11605-1doiSubjects--Topical Terms:

578739
Finance
--Statistical methods.

LC Class. No.: HG176.5

Dewey Class. No.: 332

Large deviations and asymptotic methods in finance
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300 $a ix, 590 p. : $b ill., digital ; $c 24 cm.
490 1 $a Springer proceedings in mathematics & statistics, $x 2194-1009 ; $v v.110
505 0 $a Hagan, Lesniewski, Woodward: Probability Distribution in the SABR Model of Stochastic Volatility -- Paulot: Asymptotic Implied Volatility at the Second Order with Application to the SABR Model -- Henry-Labordere: Unifying the BGM and SABR Models: A Short Ride in Hyperbolic Geometry -- Ben Arous, Laurence: Second Order Expansion for Implied Volatility in Two Factor Local-stochastic Volatility -- Osajima: General Asymptotics of Wiener Functionals and Application to Implied Volatilities -- Bayer, Laurence: Small-time asymptotics for the at-the-money implied volatility in a multi-dimensional local volatility model -- Keller-Ressel, Teichmann: A Remark on Gatheral's 'Most-likely Path Approximation' of Implied Volatility -- Gatheral, Wang: Implied volatility from local volatility: a path integral approach -- Gerhold, Friz: Don't Stay Local - Extrapolation Analytics for Dupire's Local Volatility -- Gulisashvili, Teichmann: Laplace Principle Expansions and Short Time Asymptotics for Affine Processes -- Lorig, Pascucci, Pagliarani: Asymptotics for d-dimensional Levy-type Processes -- Takahashi: An Asymptotic Expansion Approach in Finance -- Baudoin, Ouyang: On small time asymptotics for rough differential equations driven by fractional Brownian motions -- Lucic: On singularities in the Heston model -- Bayer, Friz, Laurence: On the probability density function of baskets -- Conforti, De Marco, Deuschel: On small-noise equations with degenerate limiting system arising from volatility models -- Pham: Long time asymptotic problems for optimal investment -- Spiliopoulos: Systemic Risk and Default Clustering for Large Financial Systems -- Jacod, Rosenbaum: Asymptotic Properties of a Volatility Estimator.
520 $a Topics covered in this volume (large deviations, differential geometry, asymptotic expansions, central limit theorems) give a full picture of the current advances in the application of asymptotic methods in mathematical finance, and thereby provide rigorous solutions to important mathematical and financial issues, such as implied volatility asymptotics, local volatility extrapolation, systemic risk and volatility estimation. This volume gathers together ground-breaking results in this field by some of its leading experts. Over the past decade, asymptotic methods have played an increasingly important role in the study of the behaviour of (financial) models. These methods provide a useful alternative to numerical methods in settings where the latter may lose accuracy (in extremes such as small and large strikes, and small maturities), and lead to a clearer understanding of the behaviour of models, and of the influence of parameters on this behaviour. Graduate students, researchers and practitioners will find this book very useful, and the diversity of topics will appeal to people from mathematical finance, probability theory and differential geometry.
650 0 $a Finance $x Statistical methods. $3 578739
650 0 $a Finance $x Mathematical models. $3 578740
650 0 $a Economics. $3 517137
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Quantitative Finance. $3 891090
650 2 4 $a Probability Theory and Stochastic Processes. $3 891080
650 2 4 $a Approximations and Expansions. $3 897324
650 2 4 $a Differential Geometry. $3 891003
700 1 $a Friz, Peter K. $3 1930272
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Springer proceedings in mathematics & statistics ; $v v.19. $3 1619928
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-11605-1
950 $a Mathematics and Statistics (Springer-11649)