Actuarial Notes

SOA Exam FM Sample Question 135

Study guide: Exam FM-2

A 1000-par value 30-year bond has an annual coupon rate of 7% paid semiannually. After an initial 10-year period of call protection, the bond is callable immediately following the payment of any of the 20th through the 59th coupons.

  • i) If the bond is called before payment of the 40th coupon, the redemption value is 1250.
  • ii) If the bond is called immediately after the payment of any of the 40th through the 59th coupons, the redemption value is 1125.
  • iii) If the bond is not called, it will be redeemed at par.

To ensure that the bond will provide at least an annual nominal yield rate of 5% convertible semiannually, it must be assumed that the bond will be called or redeemed immediately after the payment of the n-th coupon.

Calculate n.

  • A) 20
  • B) 39
  • C) 40
  • D) 59
  • E) 60

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