Actuarial Notes

SOA Exam FM Sample Question 348

Study guide: Exam FM-2

You are given the following information regarding two annuities with annual payments:

i) Annuity X is a 20-payment annuity-immediate which provides an initial payment of 2500 and each subsequent payment is 5% larger than the preceding payment. ii) Annuity Y is a 30-payment annuity-due which provides an initial payment of k and each subsequent payment is 4% larger than the preceding payment.

Using an annual effective interest rate of 4%, Annuity X and Annuity Y have the same present value.

Calculate k.

  • A) 1,758
  • B) 1,828
  • C) 1,901
  • D) 2,078
  • E) 2,262

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Concepts tested

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