Generalizations of Merton's Mutual Fund Theorem in Infinite-Dimensional Financial Models.

This is a review paper, concerning some extensions of the celebrated Merton's mutual fund theorem in infinite-dimensional financial models, in particular, the so-called Large Financial Markets (where a sequence of assets is taken into account) and Bond Markets Models (where there is a continuum of assets). In order to obtain these results, an infinite-dimensional stochastic integration theory is essential: the paper illustrates briefly a new theory introduced to this extent by M. De Donno and the author. [ABSTRACT FROM AUTHOR]