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Stochastic calculus and financial applications / J. Michael Steele.

By: Steele, J. Michael.
Material type: TextTextSeries: Applications of mathematics ; 45. Publisher: New York : Springer, c2001Description: ix, 300 p. : 25 cm.ISBN: 0387950168 (hc : alk. paper); 9780387950167.Subject(s): Stochastic analysis | Business mathematicsDDC classification: 519.2 Online resources: WorldCat details | E-book Fulltext
Contents:
Table of contents Random Walk and First Step Analysis -- First Martingale Steps -- Brownian Motion -- Martingale: The Next Steps -- Richness of Paths -- Itô Integration -- Localization and Itô's Integral -- Itô's Formula -- Stochastic Differential Equations -- Arbitrage and SDEs -- The Diffusion Equation -- Representation Theorem -- Girsanov Theory -- Arbitrage and Martingales -- The Feynman-Kac Connection -- Appendix I. Mathematical Tools -- Appendix II. Comments and Credits -- Bibliography -- Index.
Summary: "This book is designed for students who want to develop professional skills in stochastic calculus and its application to problems in finance. The Wharton School course on which the book is based is designed for energetic students who have had some experience with probability and statistics, but who have not had advanced courses in stochastic processes. Even though the course assumes only a modest background, it
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Item type Current location Collection Call number Status Date due Barcode Item holds
E-Book E-Book EWU Library
E-book
Non-fiction 519.2 STS 2001 (Browse shelf) Not for loan
Text Text EWU Library
Reserve Section
Non-fiction 519.2 STS 2001 (Browse shelf) Not For Loan 26964
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Includes bibliographical references (p. [294]-295) and index.

Table of contents Random Walk and First Step Analysis --
First Martingale Steps --
Brownian Motion --
Martingale: The Next Steps --
Richness of Paths --
Itô Integration --
Localization and Itô's Integral --
Itô's Formula --
Stochastic Differential Equations --
Arbitrage and SDEs --
The Diffusion Equation --
Representation Theorem --
Girsanov Theory --
Arbitrage and Martingales --
The Feynman-Kac Connection --
Appendix I. Mathematical Tools --
Appendix II. Comments and Credits --
Bibliography --
Index.

"This book is designed for students who want to develop professional skills in stochastic calculus and its application to problems in finance. The Wharton School course on which the book is based is designed for energetic students who have had some experience with probability and statistics, but who have not had advanced courses in stochastic processes. Even though the course assumes only a modest background, it

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