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Incompleteness of the bond market with L\'evy noise under the physical measure

Micha{\l} Barski

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Abstract: The problem of completeness of the forward rate based bond market model driven by a L\'evy process under the physical measure is examined. The incompleteness of market in the case when the L\'evy measure has a density function is shown. The required elements of the theory of stochastic integration over the compensated jump measure under a martingale measure is presented and the corresponding integral representation of local martingales is proven.

Date: 2015-12
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Published in Advances in Mathematics of Finance, Banach Center Publications, vol. 104, str. 61-83; (2015)

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