Actuarial Notes

SOA Exam FM Sample Question 38

Study guide: Exam FM-2

Joe must pay liabilities of 2000 due one year from now and another 1000 due two years from now. He exactly matches his liabilities with the following two investments:

Mortgage I: A one year mortgage in which X is lent. It is repaid with a single payment at time one. The annual effective interest rate is 6%.

Mortgage II: A two-year mortgage in which Y is lent. It is repaid with two equal annual payments. The annual effective interest rate is 7%.

Calculate X + Y.

  • A) 2600
  • B) 2682
  • C) 2751
  • D) 2825
  • E) 3000

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