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...

We consider the classical Merton problem of lifetime consumption-portfolio optimization problem with small proportional transaction costs. The first order term in the asymptotic expansion is explicitly calculated through a singular ergodic control problem which can be solved in closed form in...