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Stochastic models of financial mathe...
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Mackevičius, Vigirdas,
Stochastic models of financial mathematics
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Stochastic models of financial mathematics/ Vigirdas Mackevičius.
Author:
Mackevičius, Vigirdas,
Published:
London :ISTE Press, : 2016.,
Description:
1 online resource (132 p.)
Subject:
Finance - Mathematical models. -
Online resource:
https://www.sciencedirect.com/science/book/9781785481987
ISBN:
9780081020869 (electronic bk.)
Stochastic models of financial mathematics
Mackevičius, Vigirdas,
Stochastic models of financial mathematics
[electronic resource] /Vigirdas Mackevičius. - London :ISTE Press,2016. - 1 online resource (132 p.) - Optimization in insurance and finance set. - Optimization in insurance and finance set..
Includes bibliographical references and index.
Front Cover ; Stochastic Models of Financial Mathematics; Copyright ; Contents; Preface; Notations; Chapter 1. Overview of the Basics of Stochastic Analysis; 1.1. Brownian motion; 1.2. Stochastic integrals; 1.3. Martingales, Itô processes and general Itô's formula; 1.4. Stochastic differential equations; 1.5. Change of probability: the Girsanov theorem; Chapter 2. The Black-Scholes Model; 2.1. Introduction: what is an option?; 2.2. Self-financing strategies; 2.3. Option pricing problem: the Black-Scholes model; 2.4. The Black-Scholes formula.
ISBN: 9780081020869 (electronic bk.)Subjects--Topical Terms:
557653
Finance
--Mathematical models.Index Terms--Genre/Form:
554714
Electronic books.
LC Class. No.: HG176.5
Dewey Class. No.: 330.1/5195
Stochastic models of financial mathematics
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Optimization in insurance and finance set
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Includes bibliographical references and index.
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Front Cover ; Stochastic Models of Financial Mathematics; Copyright ; Contents; Preface; Notations; Chapter 1. Overview of the Basics of Stochastic Analysis; 1.1. Brownian motion; 1.2. Stochastic integrals; 1.3. Martingales, Itô processes and general Itô's formula; 1.4. Stochastic differential equations; 1.5. Change of probability: the Girsanov theorem; Chapter 2. The Black-Scholes Model; 2.1. Introduction: what is an option?; 2.2. Self-financing strategies; 2.3. Option pricing problem: the Black-Scholes model; 2.4. The Black-Scholes formula.
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2.5. Risk-neutral probabilities: alternative derivation of the Black-Scholes formula2.6. American options in the Black-Scholes model; 2.7. Exotic options; Chapter 3. Models of Interest Rates; 3.1. Modeling principles; 3.2. The Vašíček model; 3.3. The Cox-Ingersoll-Ross model; 3.4. The Heath-Jarrow-Morton model; Bibliography; Index; Back Cover.
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https://www.sciencedirect.com/science/book/9781785481987
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