A fractal version of the Hull–White interest rate model
AbstractThis paper develops a new version of the Hull–White's model of interest rates, in which the volatility of the short term rate is driven by a Markov switching multifractal model. The interest rate dynamics is still mean reverting but the constant volatility of the Brownian motion is replaced by a multifractal process so as to capture persistent volatility shocks. In this setting, we infer properties of the short term rate distribution, a semi-closed form expression for bond prices and their dynamics under a forward measure. Finally, our work is illustrated by a numerical application in which we assess the exposure of a bonds portfolio to the interest risk.
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Bibliographic InfoArticle provided by Elsevier in its journal Economic Modelling.
Volume (Year): 31 (2013)
Issue (Month): C ()
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Web page: http://www.elsevier.com/locate/inca/30411
Hidden Markov process; Switching Brownian motion; Interest rates; Hull–White model; Switching volatility; Markov modulated volatility;
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