Actuarial Notes

Coupon

Study guide: Exam FM-2

A coupon is the periodic interest payment made by a bond issuer to the bondholder, equal to the face value F multiplied by the coupon rate per period r.

\text{Coupon} = Fr

  • For a bond with an annual coupon rate r_{annual} that pays semi-annually, each coupon is F \cdot r_{annual}/2.
  • Coupons are typically level (the same amount each period) for standard fixed-rate bonds.
  • The total number of coupon payments equals n, the number of periods until maturity.
  • Coupons represent the income component of a bond's return; the other component is any capital gain or loss at redemption.

Coupon Payment Amount A $5{,}000 face value bond pays semi-annual coupons at an annual coupon rate of 6\%. What is each coupon payment?

Answer The coupon rate per semi-annual period is r = 6\%/2 = 3\%. \text{Coupon} = Fr = 5000(0.03) = \$150 The bondholder receives $150 every six months for the life of the bond.