Analytically Tractable Stochastic Stock Price Models (Record no. 103322)

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001 - CONTROL NUMBER
control field 978-3-642-31214-4
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control field DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
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020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783642312144
-- 978-3-642-31214-4
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-3-642-31214-4
Source of number or code doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number HB135-147
072 #7 - SUBJECT CATEGORY CODE
Subject category code KF
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT003000
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code BUS027000
Source bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 519
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Gulisashvili, Archil.
Relator term author.
245 10 - TITLE STATEMENT
Title Analytically Tractable Stochastic Stock Price Models
Medium [electronic resource] /
Statement of responsibility, etc by Archil Gulisashvili.
264 #1 -
-- Berlin, Heidelberg :
-- Springer Berlin Heidelberg :
-- Imprint: Springer,
-- 2012.
300 ## - PHYSICAL DESCRIPTION
Extent XVII, 359 p.
Other physical details online resource.
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-- computer
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-- online resource
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-- text file
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490 1# - SERIES STATEMENT
Series statement Springer Finance,
International Standard Serial Number 1616-0533
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Preface -- Aknowledgements -- 1.Volatility Processes -- 2.Stock Price Models with Stochastic Volatility -- 3.Realized Volatility and Mixing Distributions -- 4.Integral Transforms of Distribution Densities -- 5.Asymptotic Analysis of Mixing Distributions -- 6.Asymptotic Analysis of Stock Price Distributions -- 7.Regularly Varying Functions and Pareto Type Distributions -- 8.Asymptotic Analysis of Option Pricing Functions -- 9.Asymptotic Analysis of Implied Volatility -- 10.More Formulas for Implied Volatility -- 11.Implied Volatility in Models Without Moment Explosions -- Bibliography -- Index .
520 ## - SUMMARY, ETC.
Summary, etc Asymptotic analysis of stochastic stock price models is the central topic of the present volume. Special examples of such models are stochastic volatility models, that have been developed as an answer to certain imperfections in a celebrated Black-Scholes model of option pricing. In a stock price model with stochastic volatility, the random behavior of the volatility is described by a stochastic process. For instance, in the Hull-White model the volatility process is a geometric Brownian motion, the Stein-Stein model uses an Ornstein-Uhlenbeck process as the stochastic volatility, and in the Heston model a Cox-Ingersoll-Ross process governs the behavior of the volatility. One of the author's main goals is to provide sharp asymptotic formulas with error estimates for distribution densities of stock prices, option pricing functions, and implied volatilities in various stochastic volatility models. The author also establishes sharp asymptotic formulas for the implied volatility at extreme strikes in general stochastic stock price models. The present volume is addressed to researchers and graduate students working in the area of financial mathematics, analysis, or probability theory. The reader is expected to be familiar with elements of classical analysis, stochastic analysis and probability theory.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Global analysis (Mathematics).
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Finance.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Distribution (Probability theory).
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Quantitative Finance.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Analysis.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Probability Theory and Stochastic Processes.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Approximations and Expansions.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Applications of Mathematics.
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9783642312137
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Springer Finance,
-- 1616-0533
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1007/978-3-642-31214-4
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