Actuarial Notes

SOA Exam FM Sample Question 171

Study guide: Exam FM-2

Company Q invests X at the end of each year for 25 years at an annual effective interest rate of 9%. Company R invests 100 at the end of each year for 25 years at an annual effective interest rate of 9%, but, at the end of each year, the interest earned is reinvested at an annual effective interest rate of 8%.

Immediately after the 25th payment, Company R's total investment, including the reinvested interest, has the same value as Company Q's investment.

Calculate X.

  • A) 91.22
  • B) 91.93
  • C) 92.67
  • D) 93.41
  • E) 94.03

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