📜 Coupon Rate Calculator
Calculate the coupon rate of a bond from its annual coupon payment and face value.
Coupon Rate vs Yield
The coupon rate is fixed at issuance. The yield changes as the bond price changes in the market. When a bond trades at par, coupon rate = current yield = YTM. When it trades below par, the yield is higher than the coupon rate.
Coupon Rate vs Yield: The Critical Distinction
Coupon Rate = Annual Interest Payments ÷ Face Value × 100. A bond with $1,000 face value paying $60/year has a 6% coupon rate. This rate is fixed forever at issuance. The yield (current yield or YTM) changes daily as the bond's market price fluctuates. When a bond trades at a discount (below face value), the yield exceeds the coupon rate. When it trades at a premium, yield is below the coupon rate. Buying a bond at par means coupon rate = yield.
Why Coupon Rate Matters for Interest Rate Risk
Low-coupon bonds have higher duration (price sensitivity to rate changes) than high-coupon bonds with the same maturity. A 1% coupon 10-year bond changes price about 9% for each 1% change in interest rates; a 7% coupon 10-year bond changes only about 7%. This makes zero-coupon bonds the most interest-rate-sensitive fixed income instruments.
People Also Ask
The coupon rate is the annual interest payment expressed as a percentage of the bond's face (par) value. It is set at the time of issuance and never changes. A bond with a 5% coupon rate and $1,000 face value pays $50 per year ($25 semi-annually for most US bonds), regardless of what happens to interest rates or the bond's market price.
Coupon rate is a characteristic of a specific bond — what it was issued to pay. Interest rate (in a market context) refers to prevailing rates in the economy set by the Fed or market forces. If market rates rise above a bond's coupon rate, that bond becomes less attractive and its price falls until its yield matches the new market rate.
In rare monetary policy environments, yes. During 2016–2020, several European government bonds had negative coupon rates, meaning investors paid the government for the privilege of holding their debt — considered an ultra-safe haven. In the US, no Treasury bond has ever had a negative coupon rate, though TIPS can produce negative real yields.