I was trying to understand the model of credit on page 328 of Carl Walsh's Monetary Policy and Theory Book.
"Loans are, however, characterized by more than just their interest rate. For example, suppose a loan is characterized by its interest rate $r_l$, the loan amount $L$, and the collateral the lender requires is $C$. The probability that the loan will be repaid depends on the (risky) return yielded by the borrower’s project. If the project return is $R$, then the lender is repaid if, $L(1+r_l)< R+C$. If $L(1+r_l)> R+C$ , the borrower defaults and the lender receives $R+C$."
What I do not understand is that how come the return of the lender is $C+R?$ I believe it should just be $C$ (the collateral). Having $R$ in the case of default is central to the idea that the expected profit of lenders is decreasing in variance of the project outcome, which is important for the following arguments. If anybody can shed some light on this, that will be super helpful.