Before revision: In this paper we consider a market model where there are two levels of information , the public information generated by the financial assets  and a larger flow of information that contains additional knowledge about a death time  of an insured.
After revision: In this paper we consider a market model where there are two levels of information , the public information generated by the financial assets and a larger flow of information that contains additional knowledge about a death time (random time/horizon) of an insured.