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arxiv: 0812.4064 · v1 · submitted 2008-12-21 · 🧮 math.PR

Default times, non arbitrage conditions and change of probability measures

classification 🧮 math.PR
keywords arbitragechangeconditionsdefaulthypothesisprobabilityaffectedenlargements
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In this paper we give a financial justification, based on non arbitrage conditions, of the $(H)$ hypothesis in default time modelling. We also show how the $(H)$ hypothesis is affected by an equivalent change of probability measure. The main technique used here is the theory of progressive enlargements of filtrations.

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