Actuarial Notes

SOA Exam FM Sample Question 365

Study guide: Exam FM-2

A loan of 100 is to have all principal and accrued interest paid at the end of five years. Interest accrues at an annual effective rate of 5% for the first two years and at a force of interest at time t in years (t > 2) of \delta_t = \dfrac{1}{1+t}.

Calculate the equivalent annual effective rate of discount for the five-year period.

  • A) 10.9%
  • B) 13.0%
  • C) 14.6%
  • D) 15.4%
  • E) 17.1%

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