We consider optimal consumption and portfolio investment problems of an investor who is interested in maximizing his utilities from consumption and terminal wealth subject to a random inflation in the consumption basket price over time. We consider two cases: (i) when the investor observes the...

On the surface, hedge funds seem to have much higher fees than actively managed mutual funds. However, the true cost of active management should be measured relative to the size of the active positions taken by a fund manager. A mutual fund combines active positions with a passive position in...

Banks' assets are opaque, and therefore, we model their true accounting asset values as partially observed variables. We derive a stochastic control model to optimize banks' dividend and recapitalization policies in this situation, and calibrate that to a sample of U.S. banks. By the calibrated...

We study incentive contracts in asset management business under dynamic actions and relationships between an investor, a partner of an investment company, and a fund manager of the company. The investor cannot perfectly observe the partner and manager’s actions, and similarly, the partner...