Coupon Rate vs. Yield to Maturity: What's the Difference?
By Markets & Investing DeskUpdated Nov 10, 2026
Key takeaways
- A bond with a $1,000 face value and a 4% coupon pays $40 a year even if its price falls to $900 or rises to $1,100.
- When you buy at a discount, YTM is higher than the current yield, which is higher than the coupon rate.
- A 4% five-year bond bought at $956.71 yields 5.0% to maturity, while the same bond at $1,045.80 yields 3.0%.
- YTM assumes you hold to maturity, reinvest coupons at the YTM, and receive every payment on schedule.
Coupon rate and yield to maturity (YTM) measure different things. The coupon rate is the fixed annual interest a bond pays, stated as a percentage of its face value and set when the bond is issued. Yield to maturity is the estimated annual return you earn if you buy the bond at today’s market price, hold it until it matures, and receive every payment. The two match only when you pay exactly face value (par). If you buy below par (at a discount), YTM is higher than the coupon rate. If you buy above par (at a premium), YTM is lower.
Why the two numbers drift apart
The coupon is fixed in dollars. A bond with a $1,000 face value and a 4% coupon pays $40 a year for its whole life, whether it later trades for $900 or $1,100. The bond’s market price does change after issue, mostly in response to interest rates.
When market rates rise, newly issued bonds offer higher coupons. An older bond paying less than the new ones has to fall in price before buyers will take it. When rates fall, the older bond’s higher fixed coupon becomes attractive, and its price rises. Price and yield therefore move in opposite directions. The mechanics are covered in more detail in why bond prices fall when interest rates rise.
YTM captures the result of that price change. A buyer who pays $950 for a bond that repays $1,000 at maturity collects the coupons plus a $50 gain at redemption. A buyer who pays $1,050 collects the same coupons but takes a $50 loss at redemption. The coupon rate ignores both effects. YTM folds them into one annual figure.
What each measure includes
Coupon rate
The coupon rate is calculated from the bond’s terms alone:
Coupon rate = annual coupon payments ÷ face value
Many bonds pay twice a year, so you first add up the payments for the year. A bond with a $1,000 face value paying $10 every six months pays $20 a year, which is a 2% coupon rate ($20 ÷ $1,000). If that bond’s price drops to $980 because rates have risen, it still pays $10 twice a year, and its coupon rate is still 2%.
Most corporate and government bonds have a fixed coupon, but not all. Floating-rate bonds reset their coupon periodically against a benchmark such as SOFR plus a set spread. For those bonds the coupon rate is not a constant, and any YTM figure depends on an assumption about future benchmark rates.
Yield to maturity
YTM, also called the redemption yield, is the single discount rate that makes the present value of all future payments (every coupon plus the face value at maturity) equal the bond’s current price. It takes four inputs into account:
- the coupon payments,
- the current market price,
- the face value repaid at maturity,
- the time remaining until maturity.
There is no simple closed-form solution. YTM is found by trial and error, which is why calculators, spreadsheets and brokerage platforms do it for you. A rough shortcut is:
Approximate YTM ≈ (annual coupon + (face value − price) ÷ years to maturity) ÷ ((face value + price) ÷ 2)
On U.S. bonds that pay semiannually, the quoted YTM is normally the semiannual rate doubled (the bond-equivalent yield), not a compounded annual rate.
Current yield: the number in between
A third measure often appears beside these two. Current yield = annual coupon ÷ current price. It reflects what you paid but ignores the gain or loss at maturity. That places it between the other two numbers:
| Bond priced at | Ordering of yields |
|---|---|
| Par | Coupon rate = current yield = YTM |
| Discount | YTM > current yield > coupon rate |
| Premium | Coupon rate > current yield > YTM |
Example: one bond, three prices
The following is a hypothetical example. Assume a bond with a $1,000 face value, a 4% coupon paid once a year ($40), and five years left to maturity.
Bought at par ($1,000). You receive $40 a year and get your $1,000 back. Coupon rate, current yield and YTM are all 4%.
Bought at a discount ($956.71). Rates have risen since issue. You still receive $40 a year, so the coupon rate stays 4%. Current yield is $40 ÷ $956.71, about 4.18%. YTM is 5.0%, because you also gain $43.29 when the bond repays $1,000. That gain is spread across the five years of the calculation.
Bought at a premium ($1,045.80). Rates have fallen since issue. The coupon rate is still 4%. Current yield is $40 ÷ $1,045.80, about 3.82%. YTM is 3.0%, because the $45.80 you paid above par is lost at maturity.
The coupon income is identical in all three cases. The return depends on the price you pay, and that difference is what YTM reports. This is also why the rule “if yield < coupon rate, the bond trades at a premium” works: a premium price is the only way a fixed coupon can produce a lower return.
When YTM is not the return you actually get
YTM is an estimate built on assumptions. Change an assumption and the realized return changes, while the coupon rate does not.
You sell before maturity. YTM assumes you hold to the end. If you sell early, your return depends on the price at the time of sale, which may be above or below what you paid.
Coupons are reinvested at a different rate. The YTM calculation implicitly assumes each coupon is reinvested at the YTM itself. If you spend the coupons, or reinvest them when rates are lower, your compounded return will differ from the quoted YTM. This is reinvestment risk. It matters most for long bonds with large coupons.
The issuer does not pay. YTM assumes every coupon and the principal arrive on schedule. A bond with a very high YTM relative to similar bonds is usually priced that way because the market sees a real chance of missed payments. The high yield compensates for that risk and does not guarantee the return.
The bond is called. A callable bond can be redeemed by the issuer before maturity, often when rates have fallen. For these bonds, investors also look at yield to call. Yield to worst is the lowest of yield to maturity and the yields to each possible call date. With a premium callable bond, yield to worst is often well below YTM.
Inflation and taxes. YTM is a nominal, pre-tax figure. A 5% YTM during a period of 4% inflation buys much less than it appears to. Historical figures are listed in U.S. inflation rate by year. Taxes on coupon income and on any gain at maturity also reduce what you keep.
Special cases that change the answer
At issuance. A bond sold at par has a YTM equal to its coupon rate on the issue date. Issuers usually set the coupon close to the prevailing market yield so the bond sells near par. Some bonds, however, are issued at a discount or a premium, and then YTM and coupon differ from the first day.
Zero-coupon bonds. These have a coupon rate of 0%. They are sold well below face value, and the whole return comes from the climb back to par. YTM is the only meaningful yield measure for them, and reinvestment risk disappears because there are no coupons to reinvest.
Floating-rate bonds. Because the coupon resets, a floating-rate bond’s price tends to stay closer to par than a fixed-rate bond’s, and the gap between coupon and yield is driven more by changes in the issuer’s credit spread than by changes in the level of rates.
Which number to use
Use the coupon rate to know your cash income: multiply it by face value to get the dollars you will receive each year. Use YTM to compare bonds with different prices, coupons and maturities, because it puts them on the same annual-return basis. Two bonds with 3% and 6% coupons can have nearly the same YTM if their prices differ enough. An investor who cares about steady income may still prefer one over the other, but for comparing expected return, YTM is the relevant figure. For how bonds fit alongside other assets, see investing basics.
FAQs
Is yield to maturity the same as a bond's "yield"?
Not always. "Yield" on its own can mean current yield (coupon ÷ price), yield to maturity, or, for callable bonds, yield to worst. Bond quotes typically show YTM or yield to worst, but check which one is listed before comparing two bonds.
Is YTM higher for discount or premium bonds?
For the same coupon, a bond bought at a discount has the higher YTM, because you collect the coupons plus a gain at maturity. A premium bond's YTM is lower than its coupon rate because part of the price you pay is not repaid.
Can the coupon rate change after I buy?
On a fixed-rate bond, no. The dollar payment is set in the bond's terms. Only floating-rate and certain step-up bonds have coupons that change, and those changes follow rules written into the bond.
The Bottom Line
Bond buyers who compare offerings or plan around interest income need both numbers. The coupon rate tells you the cash you will receive each year, and YTM tells you the expected annual return at the price you pay, so it is the better tool for comparing bonds. Treat YTM as an estimate, and check yield to worst on callable bonds, along with inflation, taxes and credit risk.
