%0 Journal Article %T Default times, non arbitrage conditions and change of probability measures %A Delia Coculescu %A Monique Jeanblanc %A Ashkan Nikeghbali %J Mathematics %D 2008 %I arXiv %X 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. %U http://arxiv.org/abs/0812.4064v1