Will the ex-homeowner still owe money after a foreclosure?
It is in the bank's interest to sell the property for as much as they can (although it is doubtful they will put as much effort/time into selling it as the owner might). They will certainly not sell it for $1. The main reason for this is that the bank would prefer to own $100k, than a loan to them from a customer for $100k. Banks have to discount the value of loans to take into account the likelihood of the loan not being repaid. They classify certain loans as riskier than others, and these are discounted more heavily. An unsecured home loan to a customer that has already defaulted, has no collateral, and now needs to pay rent AND loan repayments would count as an extremely risky loan.