Actuarial Notes

SOA Exam FM Sample Question 285

Study guide: Exam FM-2

An investor deposits 1000 at the beginning of each year for 20 years. The fund earns interest at an annual effective rate of 9.25%.

At the end of 20 years, the investor wishes to use the fund to purchase a 30-year annuity-due with monthly payments of 500 based on an annual nominal interest rate of 10% convertible monthly.

Calculate the balance, if any, in the fund after paying for the annuity.

  • A) The fund balance is insufficient to purchase the annuity.
  • B) 0
  • C) 35
  • D) 370
  • E) 510

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