Equilibrium allocations in models with incomplete markets are generally not Pareto-efficient, but some argue that the welfare losses from missing assets are small when time-horizons are long, agents are patient, and shocks are transitory. We show that even in the simplest infinite horizon model...

Asset markets are usually incomplete. Security exchanges often introduce derivative securities which partially complete the market. The marketmakers make profits through a bid-ask spread. We use computational methods to determine the profit-maximizing choice of options for a marketmaker and...