Interest Rate Models: an Infinite Dimensional Stochastic Analysis Perspective (Springer Finance) - Softcover

Book 26 of 53: Springer Finance

Carmona, René; Tehranchi, M R

 
9783642066009: Interest Rate Models: an Infinite Dimensional Stochastic Analysis Perspective (Springer Finance)

Synopsis

This book probes mathematical issues that arise in modeling interest rate term structure, by casting the interest rate models as stochastic evolution equations in infinite dimensions. The book is comprised of three parts. Part I is a crash course on interest rates, including a statistical analysis of the data and an introduction to some popular interest rate models. Part II is a self-contained introduction to infinite dimensional stochastic analysis, including SDE in Hilbert spaces and Malliavin calculus. Part III presents recent results in interest rate theory, including finite dimensional realizations of HJM models, generalized bond portfolios, and the ergodicity of HJM models.

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From the Back Cover

Interest Rate Models: an Infinite Dimensional Stochastic Analysis Perspective studies the mathematical issues that arise in modeling the interest rate term structure. These issues are approached by casting the interest rate models as stochastic evolution equations in infinite dimensions. The book is comprised of three parts. Part I is a crash course on interest rates, including a statistical analysis of the data and an introduction to some popular interest rate models. Part II is a self-contained introduction to infinite dimensional stochastic analysis, including SDE in Hilbert spaces and Malliavin calculus. Part III presents some recent results in interest rate theory, including finite dimensional realizations of HJM models, generalized bond portfolios, and the ergodicity of HJM models.

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Other Popular Editions of the Same Title

9783540270652: Interest Rate Models: an Infinite Dimensional Stochastic Analysis Perspective (Springer Finance)

Featured Edition

ISBN 10:  3540270655 ISBN 13:  9783540270652
Publisher: Springer, 2006
Hardcover