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A MULTIFACTOR GAUSS MARKOV IMPLEMENTATION OF HEATH, JARROW, AND MORTON

Alan Brace, Marek Musiela

Source record

Source: Crossref

Published: Jul 1, 1994

DOI: 10.1111/j.1467-9965.1994.tb00095.x

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Source abstract

Working within the Heath‐Jarrow‐Morton framework and using the theory of stochastic equations in infinite dimensions, a useful multifactor Gauss‐Markov model for the movement of the whole of the yield curve is derived. Swaptions are priced. They are hedged by eliminating random terms between the semimartingale representations of the swaption and hedging instruments. Hedging efficiency is analyzed. the model is fitted to the swap/cap strips in Australia. Computation times on a 20‐MHz laptop computer are acceptable.

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