Coupon

What is a coupon?

A coupon is a crucial element in the world of finance, particularly when dealing with bonds. In this context, it refers to the annual interest rate paid on a bond, expressed as a percentage of its face value. This interest is paid from the bond's issue date until its maturity. Investors often assess bonds based on their coupon rate, which is the sum of coupons paid in a year divided by the face value of the bond.

Coupons explained

Consider a $1,000 bond with a 7% coupon. This means that the bondholder receives $70 annually as interest on their investment. Typically, these interest payments are made semiannually, resulting in the investor receiving $35 twice a year.

The significance of coupons becomes evident when bonds are traded before maturity, leading to fluctuations in their market value. The current yield, often referred to as simply the yield, tends to deviate from the bond's coupon or nominal yield due to these market dynamics. To calculate the bond's total annual payment, tools such as Excel can be employed.

For instance, at the bond's issue, the $1,000 bond with a 7% coupon has both current and nominal yields of 7%. However, if the bond is later traded at $900, the current yield increases to 7.8% ($70 ÷ $900). It's crucial to note that the coupon rate remains constant, as it is determined by the fixed annual payments and the face value.

In summary, coupons in the context of bonds are a mechanism through which bondholders receive regular interest payments. These payments, often semiannual, contribute to the overall yield on the investment. As bonds are bought and sold in the market, their current yield may vary from the initial coupon rate due to changes in market value. Understanding these dynamics is essential for investors navigating the bond market and calculating the total annual return on their investments.

Zero-coupon bonds

Zero-coupon bonds (example: Barclays Bank PLC, 0% 30nov2025, USD), unlike traditional bonds, do not offer periodic interest payments in the form of coupons. These bonds have a coupon rate of 0%, meaning they make only one payment: the face value, which is paid on the maturity date. The absence of periodic interest payments distinguishes zero-coupon bonds from their coupon-bearing counterparts.

To compensate bondholders for the time value of money, the price of a zero-coupon bond is typically lower than its face value when purchased before the maturity date. This discount serves as a way to factor in the foregone interest that would have been received from coupon payments over time.

During the European sovereign debt crisis, an interesting phenomenon occurred where some zero-coupon sovereign bonds traded above their face value. Investors were willing to pay a premium for these bonds due to their perceived safe-haven status amidst the crisis. The difference between the purchase price and the face value ultimately provides bondholders with a positive return, making the investment in zero-coupon bonds financially attractive despite the absence of regular interest payments.

Valuation

1. Face Value. This is the nominal value of the bond, the amount that will be paid to the bondholder at maturity.

2. Maturity Date. The date on which the bond reaches its full face value and ceases to accrue interest.

3. Coupon Rate, Frequency, and Day Count Convention. The coupon rate is the annual interest rate expressed as a percentage of the bond's face value. The frequency of coupon payments (e.g., semiannual) and the day count convention used to calculate interest accrual contribute to the bond's overall valuation.

4. Creditworthiness of the Issuer. The financial health and creditworthiness of the entity issuing the bond play a crucial role. Investors often assess the issuer's credit rating to gauge the risk associated with the investment.

5. Yield on Comparable Investment Options. The prevailing yields on other investment options with similar risk profiles influence the bond's valuation. If the bond's coupon rate is higher than the prevailing market yields, it may be more attractive to investors.

Example

Imagine an investor purchases a $10,000 bond with a maturity of ten years and a coupon rate of 2.50%, which is paid semi-annually.

Over the bond's lifespan of ten years, there are a total of 20 semi-annual periods. For each period, the investor will receive a coupon payment equal to 2.50% of the bond's face value, which amounts to $125 per payment.

Therefore, over the entire duration of the bond, the investor will receive a total of 20 coupon payments, each amounting to $125, resulting in a cumulative coupon payment of $2,500. Importantly, regardless of any fluctuations in market conditions, the investor is entitled to receive these payments as stipulated in the bond agreement.

Upon reaching the maturity date, along with the final coupon payment, the investor will also receive the initial investment of $10,000 back.