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[Lecture Notes in Mathematics] Consistency Problems for Heath-Jarrow-Morton Interest Rate Models Volume 1760 || 7. Consistent HJM Models

✍ Scribed by Filipović, Damir


Book ID
127281327
Publisher
Springer Berlin Heidelberg
Year
2001
Tongue
English
Weight
890 KB
Edition
1
Category
Article
ISBN
354044548X

No coin nor oath required. For personal study only.

✦ Synopsis


Bond markets differ in one fundamental aspect from standard stock markets. While the latter are built up to a finite number of trade assets, the underlying basis of a bond market is the entire term structure of interest rates: an infinite-dimensional variable which is not directly observable. On the empirical side, this necessitates curve-fitting methods for the daily estimation of the term structure. Pricing models, on the other hand, are usually built upon stochastic factors representing the term structure in a finite-dimensional state space. Written for readers with knowledge in mathematical finance (in particular interest rate theory) and elementary stochastic analysis, this research monograph has threefold aims: to bring together estimation methods and factor models for interest rates, to provide appropriate consistency conditions and to explore some important examples.


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