Documento de Trabajo Nº 39: Portfolio Choice, Minimum Return Guarantees, and Competition in DC Pension Systems

We study a standard dynamic portfolio choice problem in a setting that includes two new ingredients: strategic interaction among portfolio managers and the presence of a MRG. The (pure strategy Nash) equilibrium portfolios are provided in closed-form in the Black and Scholes setting. They are shown to be weighted averages of investment rules that are themselves optimal in scenarios that may become optimal once the uncertainty has resolved. Our results also suggest that MRG rules that rely on index-based benchmark portfolios (as opposed to peer-group ones) may help to mitigate some of the problems that arise when portfolio managers are too prone to relative performance concerns (i.e., the selection of myopic portfolios).