Actuarial Notes

SOA Exam FM Sample Question 86

Study guide: Exam FM-2

A bank agrees to lend 10,000 now and X three years from now in exchange for a single repayment of 75,000 at the end of 10 years. The bank charges interest at an annual effective rate of 6% for the first 5 years and at a force of interest \delta_t = \dfrac{1}{t+1} for t \ge 5.

Calculate X.

  • A) 23,500
  • B) 24,000
  • C) 24,500
  • D) 25,000
  • E) 25,500

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