Dynamic Asset Pricing Theory with Uncertain Time-Horizon

This paper addresses the problem of pricing and hedging a random cash-flow received at a random date in a general stochastic environment. We first argue that specific timing risk is induced by the presence of an uncertain time-horizon if and only if the random time under consideration is not a stopping time of the filtration generated by prices of traded assets. In that context, we provide an explicit characterization of the set of equivalent martingale measures, as well as a necessary and sufficient condition for a convenient separation between adjustment for market risk and timing risk. A revisited version of this paper was published in the October 2005 issue of the Journal of Economic Dynamics and Control.