Actuarial Notes

SOA Exam FM Sample Question 300

Study guide: Exam FM-2

A loan of 5,000,000 is to be repaid by installments of X at the end of each quarter over a period of ten years. The annual nominal interest rate for the loan is 8% compounded quarterly.

The actual quarterly payment for the first five years is X rounded up to the next higher 1000. After that, each quarterly payment is X rounded up to the next higher 100,000, until the loan is paid off with a drop payment.

Calculate the total number of payments, including the drop payment, needed to repay the loan.

  • A) 36
  • B) 37
  • C) 38
  • D) 39
  • E) 40

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