Actuarial Notes

SOA Exam FM Sample Question 85

Study guide: Exam FM-2

A perpetuity provides for continuous payments. The annual rate of payment at time t is

\begin{cases}1, & \text{for } 0 \le t < 10,\\ (1.03)^{t-10}, & \text{for } t \ge 10.\end{cases}

Using an annual effective interest rate of 6%, the present value at time t = 0 of this perpetuity is X.

Calculate X.

  • A) 27.03
  • B) 30.29
  • C) 34.83
  • D) 38.64
  • E) 42.41

Answer this question and see the worked solution

Concepts tested

More questions from this set