Interest Rate Models: an Infinite Dimensional Stochastic Analysis Perspective

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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Carmona, René A. (Συγγραφέας), Tehranchi, Michael R. (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006.
Σειρά:Springer Finance
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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100 1 |a Carmona, René A.  |e author. 
245 1 0 |a Interest Rate Models: an Infinite Dimensional Stochastic Analysis Perspective  |h [electronic resource] /  |c by René A. Carmona, Michael R. Tehranchi. 
264 1 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg,  |c 2006. 
300 |a XIV, 236 p.  |b online resource. 
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490 1 |a Springer Finance 
505 0 |a 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. 
520 |a 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. 
650 0 |a Mathematics. 
650 0 |a Economics, Mathematical. 
650 0 |a Macroeconomics. 
650 1 4 |a Mathematics. 
650 2 4 |a Quantitative Finance. 
650 2 4 |a Macroeconomics/Monetary Economics//Financial Economics. 
700 1 |a Tehranchi, Michael R.  |e author. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9783540270652 
830 0 |a Springer Finance 
856 4 0 |u http://dx.doi.org/10.1007/b138563  |z Full Text via HEAL-Link 
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950 |a Mathematics and Statistics (Springer-11649)