What Is a Bond Coupon, and How Is It Calculated? (2024)

What Is a Bond Coupon?

A coupon or coupon payment is the annual interest rate paid on a bond, expressed as a percentage of the face value and paid from issue date until maturity. Coupons are usually referred to in terms of the coupon rate (the sum of coupons paid in a year divided by the face value of the bond in question).

It is also referred to as the "coupon rate," "coupon percent rate", and "nominal yield."

Key Takeaways

  • A coupon payment refers to the annual interest paid on a bond.
  • Coupons are expressed as s a percentage of the face value and are paid from the issue date until maturity.
  • The coupon rate is determined by adding the sum of all coupons paid per year, then dividing that total by the face value of the bond.

Understanding Bond Coupons

For example, a $1,000 bond with a coupon of 7% pays $70 a year. Typically these interest payments will be semiannual, meaning the investor will receive $35 twice a year.

Because bonds can be traded before they mature, causing their market value to fluctuate, the current yield (often referred to simply as the yield) will usually diverge from the bond's coupon or nominal yield. You can calculate the bond's total annual payment easily using software such as Excel.

For example, at issue, the $1,000 bond described above yields 7%; that is, its current and nominal yields are both 7%. If the bond later trades for $900, the current yield rises to 7.8% ($70 ÷ $900). The coupon rate, however, does not change, since it is a function of the annual payments and the face value, both of which are constant.

Coupon rate or nominal yield = annual payments ÷ face value of the bond

Current yield = annual payments ÷ market value of the bond

The current yield is used to calculate other metrics, such as the yield to maturity and the yield to worst.

Other Considerations

The term "coupon" originally refers to actual detachable coupons affixed to bond certificates. Bonds with coupons, known as coupon bonds or bearer bonds, are not registered, meaning that possession of them constitutes ownership. To collect an interest payment, the investor has to present the physical coupon.

Bearer bonds were once common. While they still exist, they have fallen out of favor for two reasons. First, an investor whose bond is lost, stolen, or damaged has functionally no recourse or hope of regaining their investment. Second, the anonymity of bearer bonds has proven attractive to money launderers. A 1982 U.S. law significantly curtailed the use of bearer bonds, and all Treasury-issued bearer bonds are now past maturity.

Today, the vast majority of investors and issuers alike prefer to keep electronic records on bond ownership. Even so, the term "coupon" has survived to describe a bond's nominal yield.

What's the Difference Between Coupon Rate and Coupon Rate Yield?

A bond's coupon rate is the rate of interest the bond pays annually, while the yield is the rate of return that the bond generates.

How Are Bond Coupons Affected by Market Interest Rates?

The bond issuer decides on the coupon rate based on the market interest rates, which change over time, causing the value of the bond to increase or decrease. However, the bond's coupon rate is fixed until maturity. Therefore, bonds with higher coupon rates can provide some safety against rising market interest rates.

Who Pays the Bond Coupon?

The bond issuer pays coupon bondholders the face value of the debt, plus interest.

The Bottom Line

The coupon rate of a bond can help investors know the amount of interest they can expect to receive until the bond matures. It can also help determine the yield if the bond was purchased on the secondary market. Investors can use the fixed dollar amount of interest to determine the bond’s current yield, and then decide if this is a good investment for them.

A bond coupon can also be used to gauge a bond against other income-producing investments, like mutual funds, certificates of deposit, stocks, etc. to make informed decisions on which investment works best.

What Is a Bond Coupon, and How Is It Calculated? (2024)

FAQs

What Is a Bond Coupon, and How Is It Calculated? ›

A coupon payment refers to the annual interest paid on a bond. Coupons are expressed as s a percentage of the face value and are paid from the issue date until maturity. The coupon rate is determined by adding the sum of all coupons paid per year, then dividing that total by the face value of the bond.

How are bond coupons calculated? ›

The coupon rate is the annual income an investor can expect to receive while holding a particular bond. It is fixed when the bond is issued and is calculated by dividing the sum of the annual coupon payments by the par value.

What is a bond coupon Quizlet? ›

What is a bond coupon? The coupons that used to be "clipped" and redeemed by the holder, who then received the interest payment.

What is the meaning of coupon bond? ›

A coupon bond, also referred to as a bearer bond or bond coupon, is a debt obligation with coupons attached that represent semiannual interest payments. With coupon bonds, there are no records of the purchaser kept by the issuer; the purchaser's name is also not printed on any kind of certificate.

How is bond coupon interest payment in dollars calculated by multiplying __________? ›

The Coupon Rate is multiplied by the par value of a bond to determine the annual coupon payment owed by the issuer to a bondholder until maturity.

How is the price of a coupon bond determined quizlet? ›

The price of a bond is calculated by: adding the present value of the principal payment and the present value of coupon payments. A bond's coupon rate is defined as: the annual coupon payment of a bond divided by the bond's face value.

Who pays bond coupon? ›

Upon the issuance of the bond, a coupon rate on the bond's face value is specified. The issuer of the bond agrees to make annual or semi-annual interest payments equal to the coupon rate to investors. These payments are made until the bond's maturity.

How to calculate bond price? ›

The bond valuation formula can be represented as: Price = ( Coupon × 1 − ( 1 + r ) − n r ) + Par Value ( 1 + r ) n . The bond value formula can be broken into two parts for better understanding. The first part is the present value of the coupons, and the second part is the discounted value of the par value.

How much is a coupon bond worth? ›

The coupon bond formula calculates periodic coupon payments by multiplying the bond's face value by the coupon rate expressed as a percentage. The formula can also estimate the bond's price by considering the present value of future cash flows, including coupon payments and principal repayment at maturity.

How do you calculate bond coupon accrual? ›

The accrual is the number of days since the last coupon divided by the number of days in the coupon paying period, which in turn is dictated by the day count convention. Generically you can think of accrual as days over base. The accrued interest is simply the accrual multiplied by the coupon payment.

How to calculate bond yield? ›

Because a bond's price on the secondary market may be more or less than its face value, you can calculate its current yield by dividing its annual income payments by its current price.

What is the difference between interest rate and coupon rate? ›

It is important to distinguish coupon rate vs interest rate. Coupon rate refers to the fixed interest payments paid by the bond issuer and will be the same during the life of the bond. On the other hand, market interest rates might rise or fall and impact the market price of the bond.

What is the coupon rate of a $1000 bond that pays a $60 coupon payment? ›

The par value is simply the face value of the bond or the value of the bond as stated by the issuing entity. Thus, a $1,000 bond with a coupon rate of 6% pays $60 in interest annually and a $2,000 bond with a coupon rate of 6% pays $120 in interest annually.

How much will the coupon payments be of a 30 year $10,000 bond with a 4.5% coupon rate and semi-annual payments? ›

The value of coupon payments will be $225. Explanation: The following equation helps determine the coupon value: Coupon payment per period = Face value of the bond × Coupon rate × Coupon period/Total period.

What is the annual coupon payment on a $1000 bond that pays a 5% coupon rate? ›

This percentage is expressed as a decimal (0.05) in calculations. So, you would receive $50.00 in annual interest from the bond. This calculation is part of fundamental bond valuation in finance where the coupon payments or interest payments are based on the bond's face value and the coupon rate.

What is the formula for a level coupon bond? ›

Level Coupon Bonds:

Let r0.5 be the effective six-monthly rate defined by (1+r0.5)2 = 1+r. Then, the price is given by: Price = PV = F/(1+r)T + (C/2) x (Annuity factor with interest rate = r0.5 and number of periods = 2T).

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