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 isF \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{,}000face value bond pays semi-annual coupons at an annual coupon rate of6\%. What is each coupon payment?Answer The coupon rate per semi-annual period is
r = 6\%/2 = 3\%.\text{Coupon} = Fr = 5000(0.03) = \$150The bondholder receives $150every six months for the life of the bond.