We consider a model in which any investment opportunity is described in terms of cash flows. We don't assume that there is a numéraire, enabling investors to transfer wealth through time; the time horizon is not supposed to be finite and the investment opportunities are not specifically related...

In this paper we study the stability (in the L <Superscript> p </Superscript> as well as for the almost sure convergence sense) of the optimal investment-consumption strategy with respect to the choice of the utility function. Copyright Springer-Verlag Berlin/Heidelberg 2004