Bond Yield Calculator

Suppose you buy a $1,000 corporate bond with a 5% coupon for $950 with 10 years left to maturity. It pays you $50 a year, so its current yield is $50 ÷ $950 = 5.26%. But you also pocket the extra $50 when it repays $1,000 at maturity, which lifts your yield to maturity to roughly 5.64%. That gap - the difference between the income you collect and the true return you earn - is exactly what this bond yield calculator is built to expose. Enter four numbers and it shows both yields side by side, so you can compare bonds on what they actually pay, not just on their headline coupon.

The formulas

Two simple formulas do the work. The first is current yield:

where the annual coupon equals face value × coupon rate. The second is the approximate yield to maturity:

Here C is the annual coupon, F is the face value, P is the price you pay, and n is the number of years to maturity. The numerator adds the coupon to the average yearly capital gain or loss (F − P) ÷ n; the denominator is the average of the price and face value. It is an approximation, not the exact internal rate of return, but it lands within a few hundredths of a percent for typical bonds.

How to use this calculator

You need just four inputs, all printed on the bond's quote or trade ticket:

1. Face value (par): the amount repaid at maturity, almost always $1,000 per bond.
2. Coupon rate: the fixed annual interest rate stated at issue, as a percentage of face value.
3. Years to maturity: how many years remain until the bond repays its face value.
4. Current price: what you pay today. Bonds are often quoted as a percent of par - a quote of "95" means $950 on a $1,000 bond - so use the quick-fill buttons or type the dollar amount.

Press Calculate yield and the result shows the approximate YTM as the headline number, the current yield beside it, and a breakdown of your coupon income and capital gain or loss if you hold to maturity.

Who this calculator is for

Anyone weighing a fixed-income purchase can use it to turn a price quote into a comparable return:

• Individual investors deciding between two bonds with different coupons and prices.
• Retirees and income investors who want to know the real yield on a bond they are about to buy.
• Students and new investors learning why a bond's yield and its coupon are not the same thing.
• Anyone comparing a bond to a CD or savings account who needs an apples-to-apples annual yield - pair it with the CD Calculator to line the two up.
• DIY portfolio builders sanity-checking the "yield" figure a brokerage screen reports.

Key bond terms explained

• Face value (par): the principal the issuer repays at maturity, typically $1,000.
• Coupon rate: the fixed annual interest rate, always applied to the face value, not the price.
• Coupon payment: the actual dollars paid each year (face value × coupon rate), usually split into two semiannual payments.
• Current yield: annual coupon divided by the price you pay - a snapshot of income, ignoring maturity.
• Yield to maturity (YTM): the total annualized return if you buy at the current price and hold to maturity, including the gain or loss to par.
• Discount / premium: a price below par is a discount; above par is a premium.
• Maturity: the date the bond repays its face value and stops paying coupons.

Worked example 1: a discount bond

Take a $1,000 bond with a 6% coupon ($60 a year) priced at $920 with 8 years to maturity. Current yield is $60 ÷ $920 = 6.52%. For YTM, the average yearly gain is ($1,000 − $920) ÷ 8 = $10, so the numerator is $60 + $10 = $70, and the denominator is ($1,000 + $920) ÷ 2 = $960. YTM ≈ $70 ÷ $960 = 7.29%. Because you bought at a discount, your total return beats both the coupon rate and the current yield.

Worked example 2: a premium bond

Now a $1,000 bond with a 4% coupon ($40 a year) priced at $1,080 with 5 years left. Current yield is $40 ÷ $1,080 = 3.70%. The yearly loss to par is ($1,000 − $1,080) ÷ 5 = −$16, so the numerator is $40 − $16 = $24, over an average price of $1,040. YTM ≈ $24 ÷ $1,040 = 2.31%. Paying a premium drags your real return below the coupon, which is why a fat coupon alone never tells the full story.

Worked example 3: a bond at par

If that same 4% bond trades at exactly $1,000, there is no gain or loss to maturity. Current yield is $40 ÷ $1,000 = 4.00%, and YTM is also 4.00%. At par, the coupon rate, current yield, and yield to maturity all converge - the only case where the three line up.

What changes the result the most

Adjust the inputs and you will see a few levers dominate:

• Price relative to par: the single biggest driver of the YTM-versus-coupon gap. The further below par, the higher the YTM.
• Years to maturity: a discount or premium spread over fewer years has a bigger annual impact, so a short bond at a discount has a notably higher YTM.
• Coupon rate: sets the income floor; higher coupons lift both yields.
• Face value: scales the dollar figures but not the percentage yields - $1,000 is standard.

Tips for comparing bonds

• Compare on YTM, not coupon. Two bonds with very different coupons can have the same YTM once price is accounted for.
• Match maturities. A higher yield on a longer bond usually comes with more interest-rate risk, so compare similar terms.
• Mind credit quality. A higher YTM often signals higher default risk; check the issuer's credit rating before chasing yield.
• Adjust for taxes. A lower-yielding Treasury or municipal bond can beat a corporate bond after tax - convert to an after-tax basis before deciding.
• Watch call features. If a premium bond is callable, also estimate yield to call and use the lower figure.

Limitations and assumptions

This is a planning estimate, not a precise pricing engine. Keep these assumptions in mind:

• The YTM is an approximation, not the exact internal rate of return solved iteratively.
• It works with the annual coupon and does not model semiannual compounding, which shifts the precise effective yield slightly.
• It assumes you hold to maturity and the issuer makes every payment - it does not price in default or early-call risk.
• It ignores accrued interest, brokerage fees, and bid-ask spreads paid at purchase.
• It shows pre-tax yields; the after-tax result depends on the bond type and your tax bracket.
• It does not assume any particular reinvestment rate for the coupons you receive.

How it compares to related calculators

This page answers "what does this specific bond actually yield?" If your question is different, a sister tool fits better:

• To compare a bond's yield against a bank product, use the CD Calculator or the APY Calculator.
• To grow a lump sum at a fixed rate over time, use the Compound Interest Calculator.
• To project a diversified portfolio with regular contributions, use the Investment Calculator.
• To measure the percentage return on any one-off investment, use the ROI Calculator.
• To value a future lump sum in today's dollars - the discounting that sits behind exact YTM - use the Present Value Calculator or the Future Value Calculator.
• For the income yield on a stock instead of a bond, use the Dividend Yield Calculator.
• To plan long-term retirement savings, use the Retirement, 401(k), or Roth IRA calculators.

How to read a bond quote

Bond quotes look intimidating until you know the shorthand. Prices are almost always quoted as a percentage of par, not in dollars: a quote of 98.50 means $985 on a $1,000 bond, and 101.25 means $1,012.50. A quote of exactly 100 is par. So the first thing a quote tells you is whether the bond is at a discount (below 100) or a premium (above 100), which immediately signals whether its YTM will sit above or below the coupon. Treasury notes and bonds add one more wrinkle - they are often quoted in 32nds, so a price written as "99-16" means 99 and 16/32, or 99.50% of par.

Alongside the price you will usually see the coupon and the maturity date, and many screens also show a "yield" column. Be careful which yield it is: brokerage platforms sometimes display current yield, sometimes YTM, and sometimes yield to worst, and they are not interchangeable. When in doubt, take the coupon, maturity, face value, and price straight off the quote, drop them into this calculator, and read both yields yourself so you know exactly what you are comparing.

Why bond yields move with interest rates

A bond's coupon is locked in at issue, but the market's required return is not. When prevailing interest rates rise - because the Federal Reserve hikes its policy rate, or because inflation expectations climb - newly issued bonds offer fatter coupons, and older bonds with smaller coupons must drop in price until their yield matches the new market level. That is the seesaw at the heart of fixed income: prices fall when rates rise, and rise when rates fall. The size of that swing depends on how many years remain to maturity. A bond maturing next year barely moves, because you get your principal back soon regardless; a 30-year bond can lose or gain double-digit percentages on the same rate change, a sensitivity bond traders call duration.

For a buyer, this is good news as well as a risk. If you buy after rates have risen, you lock in a higher yield to maturity for the life of the bond - which is exactly the gain this calculator surfaces when you enter a discounted price. If you might need to sell before maturity, though, remember that a further rate rise would push the resale price down, so the comfortable yield you see assumes you hold to the end. To see how a fixed rate compounds a lump sum over many years - the flip side of the same math - compare against the Compound Interest Calculator.

Where bonds fit in a portfolio

Most investors hold bonds for two reasons: steady income and ballast. The coupon delivers predictable cash, and because high-quality bonds often hold or gain value when stocks fall, they cushion a portfolio in downturns. The classic rule of thumb shifts the bond allocation up as you age - the idea being that someone near retirement cannot afford a deep stock drawdown and values the income and stability more than growth. A retiree living off a portfolio might ladder bonds so that something matures every year, providing a reliable stream of principal to spend without selling at a bad time.

Yield is only one input to that decision. A bond yielding 7% when comparable bonds yield 5% is not a free lunch - the extra two points are the market pricing in extra default risk, and a calculator cannot judge whether the issuer will actually pay. Treat the YTM here as the reward side of the equation, then weigh it against credit quality, maturity, and how the bond fits the rest of your holdings. If you are deciding between income from bonds and income from dividend stocks, run the share side through the Dividend Yield Calculator and compare the two on an after-tax basis.

Sources & further reading

• U.S. Securities & Exchange Commission (Investor.gov) - Bonds and fixed-income products.
• U.S. SEC - Investor glossary: yield, coupon, and maturity.
• TreasuryDirect (U.S. Department of the Treasury) - Treasury bonds, notes, and bills.