In: Finance
Consider the following pool of mortgages:
Assuming there are no prepayments, what do you predict the pool factor will be after 147 payments? Round your answer to two decimal points (e.g. if your answer is 1/3, enter 0.33).
Original Loan Balance = $259,689
Annual interest rate = 5%
Monthly Interest Rate = Annual Interest Rate / 12 = 5%/12 = 0.4167%
Loan Period = 30 years = 30*12 months = 360 months
The monthly loan payment can be calculated using the PMT function in spreadsheet
PMT(rate, number of periods, present value, future value, when-due)
Where, rate = Monthly Interest Rate = 0.4167%
number of periods = Loan Period = 360 months
present value = Loan Amount = $259,689
future value = 0
when-due = when is the payment made each month = end = 0
The monthly loan payment = PMT(0.4167%, 360, 259689, 0, 0) = -$1,394.07
Loan balance after 147 payments can be calculated using PV function in spreadsheet
PV(rate, number of periods, payment amount, future value, when-due)
Where, rate = Monthly Interest Rate = 0.4167%
number of periods = Remaining Loan Period = 360-147 months = 213 months
payment amount = monthly loan payment = -$1,394.07
future value = 0
when-due = when is the payment made each month = end = 0
Loan balance after 147 payments = PV(0.4167%, 213, -1394.07, 0, 0) = $196,582.32
Pool Factor = Outstanding Loan Balance / Original Loan Balance = $196,582.32 / $259,689 = 0.76