An interest rate model with a Markovian mean reverting level

Date

2002

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Elliott, R.
Mamon, R.

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Journal article

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Quantitative Finance, 2002; 2(6):454-458

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Robert J Elliott and Rogemar S Mamon

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Abstract

A two-factor Vasicek model, where the mean reversion level changes according to a continuous time finite state Markov chain, is considered. This model could capture the behaviour of monetary authorities who normally set a reference rate which changes from time to time. We derive the term structure via the analytic expression of the bond price that involves a fundamental matrix. The validity of the bond price closed form solution is verified via the forward rate dynamics.

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© 2002 IOP Publishing Ltd

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