Equilibrium with limited-recourse collateralized loans

We address a general equilibrium model with limited-recourse collateralized loans and securitization of debts. Each borrower is required to pledge physical collateral, and bankruptcy is filed against him if claims are not fully honored. Moreover, agents have a positive amount of wealth exempt from garnishment and, for at least a fraction of them, commodities used as collateral are desirable. In this context, equilibrium exists for any continuous garnishment rule and multiple types of reimbursement mechanisms.