Actuarial Notes

SOA Exam FM Sample Question 63

Study guide: Exam FM-2

Bill and Joe each put 10 into separate accounts at time t = 0, where t is measured in years. Bill's account earns interest at a constant annual effective interest rate of K/25, K > 0.

Joe's account earns interest at a force of interest \delta_t = \dfrac{1}{K + 0.25t}.

At the end of four years, the amount in each account is X.

Calculate X.

  • A) 20.7
  • B) 21.7
  • C) 22.7
  • D) 23.7
  • E) 24.7

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