Interest Rate Models: an Infinite Dimensional Stochastic Analysis Perspective

• Main Authors: Carmona, René A. (Author), Tehranchi, Michael R. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006.
• Series: Springer Finance
• Subjects: Mathematics.; Economics, Mathematical.; Macroeconomics.; Quantitative Finance.; Macroeconomics/Monetary Economics//Financial Economics.

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...

Table of Contents:

• 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.