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arxiv: 0809.2270 · v2 · pith:L2IZ4CYHnew · submitted 2008-09-12 · 💱 q-fin.CP · math.PR

On incompleteness of bond markets with infinite number of random factors

classification 💱 q-fin.CP math.PR
keywords bondinfinitemarketnumberboundedclaimcompletecompleteness
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The completeness of a bond market model with infinite number of sources of randomness on a finite time interval in the Heath-Jarrow-Morton framework is studied. It is proved that the market is not complete. A construction of a bounded contingent claim, which can not be replicated, is provided.

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