Actuarial Notes

SOA Exam FM Sample Question 8

Study guide: Exam FM-2

A perpetuity-immediate pays 100 per year. Immediately after the fifth payment, the perpetuity is exchanged for a 25-year annuity-immediate that will pay X at the end of the first year. Each subsequent annual payment will be 8% greater than the preceding payment.

The annual effective rate of interest is 8%.

Calculate X.

  • A) 54
  • B) 64
  • C) 74
  • D) 84
  • E) 94

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Concepts tested

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