TL;DR: A bond’s coupon tells you what it pays. Its yield tells you what you’ll actually earn. Yield to Maturity (YTM) is the annualized return if you buy at today’s price and hold to maturity. Yield to Call (YTC) is the same math, but ending at the earliest call date. Yield to Worst (YTW) is whichever is lower — the yield you should assume when the issuer holds the option to end the bond early. On a callable bond, YTW is the honest quote; YTM alone can flatter the return by hundreds of basis points.
Why bond math needs more than a coupon
A bond’s coupon is fixed at issue. Once the bond trades, though, its price moves — and the same coupon on a different price is a different yield. That is where the yield family comes in. Three cousins to keep straight:
- Coupon rate — annual coupon divided by face value. Set at issue and never changes.
- Current yield — annual coupon divided by the current price. Ignores the pull-to-par capital gain or loss.
- Yield to Maturity (YTM) — the internal rate of return if you buy at today’s price and hold to maturity. Bakes in both the coupons and the capital gain or loss as the price pulls to par.
If a bond trades at par, all three are the same. At a discount (price below face), YTM > current yield > coupon. At a premium (price above face), coupon > current yield > YTM. The ordering is a good sanity check when you read a bond quote.
The YTM formula (and why the calculator does the heavy lifting)
YTM is the discount rate y that makes the present value of a bond’s future cash flows equal to today’s price:
Price = ∑t=1..n Coupon / (1+y)t + Face / (1+y)n
FINRA defines YTM as “the overall interest rate earned by an investor who buys a bond at the market price and holds it until maturity… the discount rate at which the sum of all future cash flows equals the price of the bond.” There is no closed-form solution — you solve for y by iteration. Any bond calculator, Excel’s =YIELD() function, or an online tool does the arithmetic for you.
Worked example. A 5-year Treasury-style bond pays a 5% annual coupon on $1,000 of face. It trades at $960 (a discount). Cash flows are $50 at the end of years 1–4 and $1,050 at year 5.
- Coupon rate: 5.00%
- Current yield: 50 / 960 = 5.21%
- YTM (solving the equation): 5.95%
The extra 74 basis points of YTM over the current yield is the $40 pull-to-par gain, amortized over five years. That is the entire point of YTM: it converts “coupons plus a capital gain” into a single, comparable annual number.
Yield to Call: same math, shorter fuse
Most corporate bonds and municipal bonds are callable. The issuer keeps the option to redeem the bond early — at a specified call price, on or after a specified call date. Corporations do this so they can refinance if rates fall, the same way a homeowner refinances a mortgage. It works in the issuer’s favor and against the holder’s.
YTC uses the same discount-rate equation as YTM, with two swaps: replace maturity with the call date, and replace the face value with the call price. FINRA: “YTC is the rate of return received by an investor who holds the bond to its call date and redeems the security at its call price.”
Worked example. A 10-year corporate bond pays a 6% annual coupon on $1,000 face. It trades at $1,080 (a premium). The bond is callable at the end of year 5 at $1,020.
- Coupon: 6.00%
- Current yield: 60 / 1080 = 5.56%
- YTM (hold to year 10): 4.97%
- YTC (hold to year 5, receive $1,020): 4.54%
Notice YTC is 43 basis points below YTM. The reason: the bond is trading above the call price. If the issuer calls it at $1,020, you lose $60 of premium and gain nothing extra. The market is telling you a call is likely, and YTC reflects that.
Yield to Worst: assume the issuer will hurt you
If a bond has multiple call dates — year 3 at $1,030, year 5 at $1,020, year 7 at $1,010, and so on — compute YTM plus a YTC for every call. YTW = the minimum of that list. FINRA states it plainly: “YTW is the lower yield of yield-to-call and yield-to-maturity. Investors of callable bonds should always do the comparison to determine a bond’s most conservative potential return.”
In our example above, YTW = min(4.97%, 4.54%) = 4.54%. That is the honest number to quote yourself when evaluating the bond. Bloomberg, TRACE, and virtually every retail broker headline callable-bond yields as YTW for exactly this reason.
Current Treasury yields: the YTMs the market is using right now
Treasuries are non-callable, so their YTM is the whole story. The U.S. Treasury publishes the daily par-yield curve — those are the yields at which a freshly issued par Treasury of each maturity would trade. Below is the most recent published snapshot.
| Treasury maturity | Par yield (YTM) | Change vs 1 month prior |
|---|---|---|
| 3-Month | 3.87% | +9 bp |
| 2-Year | 4.14% | +9 bp |
| 5-Year | 4.19% | +1 bp |
| 10-Year | 4.44% | −3 bp |
| 20-Year | 4.93% | −6 bp |
| 30-Year | 4.91% | −8 bp |
The 10-year YTM of 4.44% is the market’s blended expectation of what a par-priced 10-year Treasury will earn over its life. If the coupon at issue is 4.44% and you hold to maturity, that is your realized return (assuming you can reinvest coupons at the same yield — more on that below). If you buy the same bond later at a different price, YTM tells you what you get from that entry point.
Bond price and yield: the inverse relationship in one picture
Price and YTM move in opposite directions. Solve the pricing equation at different yields and you can see the entire price-yield curve for a bond.
Two useful properties come straight off this curve. First, the relationship is inverse: a 100 basis-point rise in YTM (from 4.44% to 5.44%) drops the price by about $80. Second, the curve is convex: the price gain for a 100 bp drop is larger than the price loss for a 100 bp rise. That asymmetry is called convexity, and it is why long-duration bond math is not a straight line.
When each yield metric matters
- YTM is the standard number for non-callable bonds. Treasuries, most sovereign debt, most non-callable corporates.
- YTC matters when a callable bond trades near or above its call price. That is the market’s way of saying the call is likely.
- YTW is the industry default quote for callable corporate and municipal bonds. If you cannot see whether the yield you are being shown is YTM or YTW, ask.
Common mistakes
- Confusing coupon and yield. A “5% bond” trading at $90 does not yield 5%. Its current yield is 5 / 90 = 5.56%, and its YTM is higher still because of the pull-to-par gain.
- Assuming YTM equals your realized return. YTM assumes you can reinvest every coupon at the same rate y. If rates fall between now and maturity, you will reinvest at lower yields and earn less than YTM. This is called reinvestment risk, and it is one reason zero-coupon bonds — which have no coupons to reinvest — are cleaner instruments for locking in a yield.
- Using YTM on a callable bond. On a premium callable, YTM overstates the realistic return. Use YTW.
- Comparing tax-exempt muni yields to taxable corporate yields directly. Municipal bond interest is generally federally tax-exempt. Compare on a taxable-equivalent basis: TEY = muni yield / (1 − marginal tax rate).
- Forgetting the difference between annual and semiannual conventions. Treasuries pay semiannually; most muni and corporate bonds do too. A quoted yield expressed as a semiannual bond-equivalent yield is not directly comparable to an annually compounded rate. Bond calculators handle this, but be aware when you are moving numbers between contexts.
What to learn next
- Duration and convexity — the sensitivity of bond prices to yield changes.
- Investment grade vs high yield — the extra yield you get for taking default risk.
- The yield curve — what YTMs across maturities say about the market’s outlook.
- T-Bills vs T-Notes vs T-Bonds — how the maturity ladder actually pays out.
Sources
- FINRA — Bonds (definitions of Yield to Maturity, Yield to Call, Yield to Worst, and Current Yield)
- U.S. Department of the Treasury — Daily Treasury Par Yield Curve Rates, 2026
- SEC / Investor.gov — Bonds and Fixed Income Products (call risk)
- MSRB — About Municipal Bonds (callable bonds and yield to worst)
Disclosure: This article was produced with AI assistance and reviewed before publication. It is for informational purposes only and is not investment advice.