archived_user
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- Jun 18, 2026
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Does anyone know know to answer this question? Many thanks!!!
A bank has a line of credit where it can borrow funds at LIBOR + 0.20%. The bank would like to borrow funds and lend it on 30-year mortgages paying a fixed rate R. The bank requires a premium of 0.50%.
1. Derive the formula for R if all mortgages pay interest rate only and they pay the full notional at maturity. Ignore all friction costs such as fees, tax, etc. Assume that all borrowers have no credit risk and they will make all payment to the bank.
2. Derive the formula for R if all mortgages pay interest rate and also a part of the notional such that the notional amortizes at maturity. Ignore all friction costs such as fees, tax, etc. Assume that all borrowers have no credit risk and they will make all payment to the bank.
A bank has a line of credit where it can borrow funds at LIBOR + 0.20%. The bank would like to borrow funds and lend it on 30-year mortgages paying a fixed rate R. The bank requires a premium of 0.50%.
1. Derive the formula for R if all mortgages pay interest rate only and they pay the full notional at maturity. Ignore all friction costs such as fees, tax, etc. Assume that all borrowers have no credit risk and they will make all payment to the bank.
2. Derive the formula for R if all mortgages pay interest rate and also a part of the notional such that the notional amortizes at maturity. Ignore all friction costs such as fees, tax, etc. Assume that all borrowers have no credit risk and they will make all payment to the bank.