Actuarial Notes

SOA Exam FM Sample Question 243

Study guide: Exam FM-2

A 15-year loan of 60,000 is to be repaid with payments of X at the end of each month based on an annual nominal interest rate of 7.5%, convertible monthly.

When the loan balance is 49,893, the loan is refinanced at an annual nominal interest rate of 6.0%, convertible monthly. Payments remain at X and are paid at the end of each month for as long as necessary, with a smaller final payment.

Calculate the total number of payments, including the smaller final payment.

  • A) 162
  • B) 164
  • C) 166
  • D) 168
  • E) 170

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