Assuming full rationality, we characterize the optimal mortgage contract in a continuous time setting with a risky borrower, costly default, a moral hazard problem between the borrower and the lender, and a stochastic house appreciation. We show that many features of subprime lending observed in...

This paper explores the practice of mortgage refinancing in a dynamic competitive lending model with risky borrowers and costly default. We show that the prepayment penalties are welfare improving, and that they are more beneficial to borrowers with higher risk of default. The empirical evidence...