# Coupon Rate

Annual interest income paid to a bondholder

## What is Coupon Rate?

The coupon rate is the amount of annual interest income paid to a bondholder based on the face value of the bond. Government and non-government entities issue bonds to raise money to finance their operations. When a person buys a bond, the bond issuer promises to make periodic payments to the bondholder, based on the principal amount of the bond, at the coupon rate indicated in the issue certificate. The issuer makes annual interest payments until maturity, when the bondholder’s initial investment, the face value (or “par value”) of the bond is returned to the bondholder.

The formula for calculating the Coupon Rate is as follows:

Where:

C = Coupon rate

I = Annualized interest

P = Par value, or principal amount, of the bond

### How Coupon Rate Affects the Price of a Bond

All types of bonds pay an annual interest to the bondholder, and the amount of interest is known as the coupon rate. Unlike other financial products, the dollar amount (and not the percentage) is fixed over time. For example, a bond with a face value of \$1000 and a 2% coupon rate pays \$20 to the bondholder until its maturity. Even if the bond price rises or falls in value, the interest will remain \$20 for the lifetime of the bond until the maturity date.

When the prevailing market interest rate is higher than the coupon rate of the bond, the price of the bond is likely to fall because investors would be reluctant to purchase the bond at face value now, while they could get a better rate of return elsewhere. Conversely, if prevailing interest rates fall below the coupon rate the bond is paying, then the bond increases in value (and price) because it is paying a higher return on investment than an investor could make by purchasing the same type of bond now, when the coupon rate would be lower, reflecting the overall decline in interest rates.

### Coupon Rate vs. Yield to Maturity

The coupon rate represents the actual amount of interest earned by the bondholder annually while the yield to maturity is the estimated total rate of return of a bond, assuming that it is held until maturity. Most investors consider the yield to maturity a more important figure than the coupon rate when making investment decisions. The coupon rate remains fixed over the lifetime of the bond, while the yield to maturity is bound to change. When calculating the yield to maturity, you take into account the coupon rate and any increase or decrease in the price of the bond.

For example, if the face value of a bond is \$1,000 and its coupon rate is 2%, the interest income equals \$20. Whether the economy improves, worsens or remains stagnant, the interest income does not change. Assuming that the price of the bond increases to \$1,500, the yield to maturity changes from 2% to 1.33%, i.e., \$20/\$1,500= 1.33%. If the price of the bond falls to \$800, the yield to maturity will change from 2% to 2.5%, i.e., \$20/\$800= 2.5%. The yield to maturity only equals the coupon rate when the bond sells at face value. The bond sells at a discount if its market price is below the par value, and in such a situation, the yield to maturity is higher than the coupon rate. A premium bond sells at a higher price than the face value, and its yield is lower than the coupon rate.

The yield to maturity figure reflects the average expected return for the bond over its remaining lifetime until maturity.

### Why Coupon Rates Vary

When a company issues a bond in the open market for the first time, it bases the coupon rate at or near the prevailing interest rates to make it competitive. Also, if a company is rated “B” or below by any of the top rating agencies, it must offer its coupon rate at a price higher than the prevailing interest rate to compensate investors for assuming additional credit risk. In essence, the coupon rate is affected by the prevailing interest rates and the issuer’s creditworthiness.

The prevailing interest rate directly affects the coupon rate of a bond, as well as its market price. Interest rate refers to the Federal Funds Rate that is fixed by the Federal Open Market Committee (FOMC). The Fed charges this rate when making interbank funds transfers to other banks and the rate guides all other interest rates charged in the market, including the interest rates on bonds. The decision on whether or not to invest in a specific bond depends on the rate of return an investor can generate from other securities in the market. If the coupon rate is below the prevailing interest rate, investors will move to more attractive securities that pay a higher interest income. For example, if other securities are offering 7% and the bond is offering 5%, investors are likely to purchase the securities offering 7% or more to guarantee them a higher income in the future.

Investors also consider the level of risk that they have to assume in a specific security. For example, if an early-stage company or an existing company with high debt ratios issues a bond, investors will be reluctant to purchase the bond if the coupon rate does not compensate for the higher default risk. Purchasing such a high-risk bond does not guarantee that the issuer will repay the initial investment. Therefore, bonds with a higher level of default risk, also known as junk bonds, must offer a more attractive coupon rate that compensates for the additional risk.

Bonds issued by the United States government are considered free of default risk and are considered the safest investments. Bonds issued by any other entity apart from the U.S. government are rated by the big three rating agencies, which include Moody’s, S&P, and Fitch. Bonds that are rated “B” are considered “speculative grade,” and they carry a higher risk of default than investment grade bonds.

### Zero-Coupon Bonds

A zero-coupon bond is a bond without coupons, and its coupon rate is 0%. The issuer only pays an amount equal to the face value of the bond at the maturity date. Instead of paying interest, the issuer sells the bond at a price less than the face value at any time before the maturity date. The discount in price effectively represents the “interest” the bond pays to investors. As a simple example, consider a zero coupon bond with a face, or par, value of \$1200, and a maturity of one year. If the issuer sells the bond for \$1,000, then it is essentially offering investors a 20% return on their investment, or a one-year interest rate of 20%.

\$1,200 face value – \$1,000 bond price = \$200 return on investment when the bondholder is paid the face value amount at maturity

\$200 = 20% return on the \$1,000 purchase price

Examples of zero-coupon bonds include U.S. Treasury bills and U.S. savings bonds. Insurance companies prefer these types of bonds due to their long duration and due to the fact that they help to minimize the insurance company’s interest rate risk.

CFI is a global provider of financial modeling courses and financial analyst certification.  To continue developing your career as a financial professional, these additional resources will be helpful:

### Other Resources

• Bond Pricing
• Bond Payables
• Debt Capital Markets
• Effective Annual Interest Rate

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