Carry trades, in which an investor borrows a low interest rate currency and lends a high interest rate currency, have been profitable historically. The risk exposure of carry traders might explain their high returns, but conventional models of risk do not work because traditional risk factors,...

We introduce limited liability in a model with a continuum of ex ante identical agents who face aggregate and idiosyncratic income risk. These agents can trade a complete menu of contingent claims, but they cannot commit and shares in a Lucas tree serve as collateral to back up their...