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An analyst has been assigned by a risk manager to evaluate the prepayment risk associated with a portfolio of fixed-rate mortgages. To achieve this, the analyst must calculate the conditional prepayment rate (CPR) for the group. Specifically, the analyst begins by forecasting the monthly prepayments for an individual mortgage within the portfolio.
In this scenario, the individual mortgage is a 30-year loan of USD 1,750,000 with a fixed annual interest rate of 8%, structured with monthly payments. For a particular month, the borrower has made a total payment of USD 15,950.00, and the loan balance at the beginning of that month was USD 1,644,235.78. Based on this information, determine the accurate amount of prepayment for that month.