Interest rate models : an infinite dimensional stochastic analysis perspective

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書誌事項

Interest rate models : an infinite dimensional stochastic analysis perspective

René A. Carmona, Michael R. Tehranchi

(Springer finance)

Springer, c2006

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注記

Includes bibliographical references (p. [217]-223) and indexes

内容説明・目次

内容説明

This book presents the mathematical issues that arise in modeling the interest rate term structure by casting the interest-rate models as stochastic evolution equations in infinite dimensions. The text includes a crash course on interest rates, a self-contained introduction to infinite dimensional stochastic analysis, and recent results in interest rate theory. From the reviews: "A wonderful book. The authors present some cutting-edge math." --WWW.RISKBOOK.COM

目次

The Term Structure of Interest Rates.- Data and Instruments of the Term Structure of Interest Rates.- Term Structure Factor Models.- Infinite Dimensional Stochastic Analysis.- Infinite Dimensional Integration Theory.- Stochastic Analysis in Infinite Dimensions.- The Malliavin Calculus.- Generalized Models for the Term Structure of Interest Rates.- General Models.- Specific Models.

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