Consistency Problems for Heath-Jarrow-Morton Interest Rate Models, PDF eBook

Consistency Problems for Heath-Jarrow-Morton Interest Rate Models PDF

Part of the Lecture Notes in Mathematics series

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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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