Real-world jump-diffusion term structure models

Publisher:
IOP Publishing Ltd.
Publication Type:
Journal Article
Citation:
Quantative Finance, 2010, 10 (1), pp. 23 - 37
Issue Date:
2010-01
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This paper considers interest rate term structure models in a market attracting both continuous and discrete types of uncertainty. The event-driven noise is modelled by a Poisson random measure. Using as numeraire the growth optimal portfolio, interest rate derivatives are priced under the real-world probability measure. In particular, the real-world dynamics of the forward rates are derived and, for specific volatility structures, finite-dimensional Markovian representations are obtained. Furthermore, allowing for a stochastic short rate in a non-Markovian setting, a class of tractable affine term structures is derived where an equivalent risk-neutral probability measure may not exist
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