Interest Rate Models: an Infinite Dimensional Stochastic Analysis Perspective

M R Tehranchi

ISBN 10: 3540270655 / ISBN 13: 9783540270652

Published by Springer Berlin Heidelberg Mai 2006, 2006

About this Item

This item is printed on demand - it takes 3-4 days longer - Neuware 252 pp. Englisch.

Seller Inventory # 9783540270652

Bibliographic Details

• Title: Interest Rate Models: an Infinite Dimensional Stochastic Analysis Perspective
• Publisher: Springer Berlin Heidelberg Mai 2006
• Publication Date: 2006
• Language: English
• ISBN 10: 3540270655
• ISBN 13: 9783540270652
• Binding: Buch
• Condition: Neu
• Dimensions: 241W x 160H x 19D millimeters 241 millimeters width by 160 millimeters height by 19 millimeters depth
• Weight: 547 grams

About this title

Synopsis

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.

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.