
Explanation:
The correct estimate of the prepayment amount for that month is USD 3,060.29. Prepayment for any given month is defined as the "principal payment" in excess of the "scheduled principal payment" and is computed as the month's total payment, less the month's scheduled interest payment, less the month's scheduled principal payment. Alternatively, it can be calculated as the month's total payment, less the month's scheduled total payment.
To compute the scheduled total payment, consider an amortizing fixed-rate loan with the following particulars: Present Value (PV) = 1,750,000; Number of Payments (N) = 12 x 30 = 360; Future Value (FV) = 0; Interest Rate per Period (1/Y) = 8%/12 = 0.67. Using a financial calculator, the scheduled total payment per month (PMT) is calculated to be 12,889.71.
Therefore, the prepayment in the specified month is calculated as the total payment made (USD 15,950.00) minus the scheduled total payment (USD 12,889.71), which equals USD 3,060.29.
The other options provided are incorrect for the following reasons:
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A risk manager is working on assessing the prepayment risk for a portfolio of fixed-rate mortgages and has tasked a junior risk analyst with calculating this risk. As part of the process, the analyst needs to determine the conditional prepayment rate (CPR) for the portfolio by first predicting the monthly prepayments for a single mortgage.
Here is the scenario for the mortgage to be analyzed:
Using this information, what is the accurate calculation of the prepayment amount for that month?
A
USD 3,060.29
B
USD 4,933.62
C
USD 11,016.38
D
USD 14,076.60