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Interest Rate Models: an Infinite Dimensional Stochastic Analysis Perspective

Gebonden Engels 2006 9783540270652
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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 dimensional function spaces. 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.

Specificaties

ISBN13:9783540270652
Taal:Engels
Bindwijze:Gebonden
Aantal pagina's:236
Uitgever:Springer Berlin Heidelberg
Hoofdrubriek:, Financieel management

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Inhoudsopgave

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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€ 60,99
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          Interest Rate Models: an Infinite Dimensional Stochastic Analysis Perspective