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...

Recent empirical work indicates that, in a variety of financial markets, both conditional expectations and conditional variances of returns are time- varying. The purpose of this paper is to determine whether these joint fluctuations of conditional first and second moments are consistent with...