February 19 (Thursday) (10:00-11:00) room C.510 (new building, 5th floor)
Emil Horobeț (Sapientia Hungarian University of Transylvania)
The geometry of higher-order modern portfolio theory
In this talk, we present a generalized modern portfolio theory with utility functions admitting higher-order cumulants. We establish that under certain genericity conditions, the utility function has a constant number of complex critical points. We study the discriminant locus of complex critical points with multiplicity. Finally, we switch our attention to the generalization of the feasible portfolio set (variety), determine its dimension, and give a formula for its degree.