Actuarial Notes

SOA Exam FM Sample Question 330

Study guide: Exam FM-2

At time t = 0, 3 is deposited into an investment fund earning interest at a force of interest \delta_t = 1/(t+1).

At the same time, X is deposited into a bank account paying interest at an annual effective interest rate of 5%.

In the third year, the interest earned on the first account and the interest credited on the second account are exactly the same.

Calculate X.

  • A) 5.5
  • B) 8.2
  • C) 13.0
  • D) 25.7
  • E) 54.4

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