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

239 Pages·2006·3.917 MB·English
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by Rene A. Carmona, M.R. Tehranchi| 2006| 239 pages| 3.917| English

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

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.

Detailed Information

Author:Rene A. Carmona, M.R. Tehranchi
Publication Year:2006
ISBN:3540270655
Pages:239
Language:English
File Size:3.917
Format:PDF
Price:FREE
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