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
"synopsis" may belong to another edition of this title.
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.
From the reviews:
"Interest rate models ... is a research monograph on the theory of interest rate models in infinite dimension. ... Concepts are presented in detail with appropriate examples. ... It is most suitable for researchers with good background in stochastic and functional analysis ... ." (Ita Cirovic Donev, MathDL-online, October, 2006)
"This book is a self-contained introduction to recent theoretical work that extends the Heath-Jarrow-Morton framework for modelling interest rates to infinite dimensions ... . this is a wonderful book. The authors present some cutting-edge math in their extension of stochastic calculus to infinite dimensions. ... you will find this a fascinating read." (www.riskbook.com, August, 2006)
"This book gives a rigorous, fairly complete and remarkably clear introduction to the modelling of stochastic term structure models from an infinite-dimensional point of view, and to recent research in that field. It can be used in multiple ways, as it can serve both as an introduction to the mechanics of interest rate modelling for specialists of stochastic analysis, and as an introduction to infinite-dimensional analysis for mathematicians from other fields or for practitioners. Detailed bibliographic comments are included ... ." (Nicolas Privault, Mathematical Reviews, Issue 2008 a)
"About this title" may belong to another edition of this title.
Shipping:
FREE
Within U.S.A.
Book Description Hardcover. Condition: new. Seller Inventory # 9783540270652
Book Description Hardback or Cased Book. Condition: New. Interest Rate Models: An Infinite Dimensional Stochastic Analysis Perspective 1.1. Book. Seller Inventory # BBS-9783540270652
Book Description Condition: New. Seller Inventory # ABLIING23Mar3113020164488
Book Description Condition: New. Buy with confidence! Book is in new, never-used condition. Seller Inventory # bk3540270655xvz189zvxnew
Book Description Condition: New. New! This book is in the same immaculate condition as when it was published. Seller Inventory # 353-3540270655-new
Book Description Condition: New. PRINT ON DEMAND Book; New; Fast Shipping from the UK. No. book. Seller Inventory # ria9783540270652_lsuk
Book Description Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware 252 pp. Englisch. Seller Inventory # 9783540270652
Book Description Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9783540270652
Book Description Gebunden. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Investigates interest rate models as stochastic evolution equations in infinite dimensionsThe three parts of the book offer an introduction to interest rates, a review of infinite dimensional stochastic analysis, and recent results in interest rat. Seller Inventory # 4886832
Book Description Condition: New. New. In shrink wrap. Looks like an interesting title! 0.71. Seller Inventory # Q-3540270655