Actuarial Notes

SOA Exam FM Sample Question 160

Study guide: Exam FM-2

A 20-year arithmetically increasing annuity-due sells for 600,000 and provides annual payments. The first payment is X, and each payment thereafter is X more than the previous payment.

A 25-year arithmetically increasing annuity-due provides annual payments. The first payment is X, and each payment thereafter is X more than the previous payment.

The prices of the two annuities are calculated using a continuously compounded annual interest rate of 6%.

Calculate the price of the 25-year annuity.

  • A) 667,026
  • B) 668,707
  • C) 750,000
  • D) 779,336
  • E) 782,712

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