Actuarial Notes

SOA Exam FM Sample Question 387

Study guide: Exam FM-2

An investor purchases a geometrically decreasing perpetuity-due that provides annual payments. The first payment is 1, and each subsequent payment is 1% less than the previous payment.

At the time of purchase, the Macaulay duration of the perpetuity-due is 12.00 years.

Calculate the modified duration of the perpetuity-due, in years, at the time of purchase.

  • A) 10.97
  • B) 11.11
  • C) 11.19
  • D) 12.81
  • E) 12.88

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