Bond Calculator
Calculate bond prices, yields, coupon payments, and fixed-income returns.
Solve For
par value at maturity
coupon rate (annualized)
current market yield
Coupon Frequency
Bonds, in the way they're actually traded
A bond is just a loan dressed in formal clothing. You hand money to a government or a company, they hand back a contract that promises a set stream of payments plus your money back on a fixed date. Everything else in fixed income — the prices, the yields, the duration, the day-count quirks — is bookkeeping around that one idea. This guide walks through it the way an actual buyer thinks, not the way a textbook lays it out.
The four pieces of any bond
Every bond on Earth — Treasury, corporate, muni, junk, zero, foreign — is described by the same four numbers. Get fluent with these and every quote starts to make sense.
Face Value
The amount the issuer pays back at maturity. Almost always $1,000 in the U.S. retail market. Bond quotes use face value as the reference point — a quote of "98.5" means $985 per $1,000 of face.
Coupon
The fixed annual interest, expressed as a percentage of face value. A 4% coupon on a $1,000 bond pays $40 a year — usually split into two $20 payments. Once set at issuance, the coupon never changes.
Maturity
The date the loan ends. The issuer pays you the face value, the contract closes, the bond disappears. Maturities run from a few weeks (T-bills) to 30 or even 100 years (long corporates and sovereigns).
Yield
The return you earn at today's price. Unlike the coupon, the yield moves around — every time the price changes, the implied yield changes too. Yield is the market's voice; coupon is the contract.
The price-yield seesaw
Bond prices and yields move in opposite directions. Always. The coupon is locked in, so the only way the math can stay honest is for the price to shift. Memorize this one image and most bond news suddenly reads clearly.
Yields rise
New bonds offer fatter coupons. Your old, lower-coupon bond looks stale. To make it competitive, its price has to fall — until a buyer's total return matches the new market yield.
Yields fall
New bonds offer skimpier coupons. Your old bond, with its higher fixed coupon, is suddenly the better deal. Buyers bid the price up until its yield drops to the new market rate.
The relationship isn't a straight line — it's convex. Big yield drops give you more than duration suggests; big yield jumps hurt slightly less. That curvature is called convexity, and it's why long bonds feel asymmetric.
Premium, par, and discount
At any moment, a bond is in one of three states. Knowing which one tells you, at a glance, how the coupon stacks up against the market yield.
Premium
Price > face value
Coupon > yield. You're paying extra for above-market income, but that premium melts away as the bond drifts toward par at maturity.
YTM < coupon rate
At Par
Price = face value
Coupon ≈ yield. The bond's contract perfectly matches the current market. New issues come out close to par by design.
YTM ≈ coupon rate
Discount
Price < face value
Coupon < yield. You pay less today and pocket a built-in capital gain at maturity on top of the smaller coupons.
YTM > coupon rate
A worked example, end to end
Suppose a friend offers you a corporate bond — $1,000 face value, 5% coupon paid semi-annually, six years left to maturity. The market is currently demanding a 7% yield for similar bonds. What should you pay?
You discount each of the twelve $25 coupons back to today at 3.5% per period and add the $1,000 face value discounted across all twelve periods. The cash flows add up to about $903 — meaning you should not pay more than that if your required yield is 7%. The $97 discount you'd capture at maturity is exactly the missing 2 percentage points (coupon vs market yield) made up in capital gain.
Flip it around: if your friend is asking $950, plug that into the Bond Calculator with "Solve for Yield." You'll find the YTM lands near 5.95% — below the market's 7% — which tells you the bond is priced too high relative to current rates.
What duration is really telling you
Duration sounds like a measure of time, but in practice it's a measure of pain. Specifically: how much price pain you'll feel for every 1% move in yields. A 9-year modified duration means a 1% rise in yields wipes about 9% off the price; a 1% fall in yields adds about 9%.
Low duration
0–3 yrs
T-bills, short corporates, money-market-ish bonds. Barely move on rate news. Boring is the point.
Medium duration
3–8 yrs
Most intermediate Treasuries and investment-grade corporates. Reasonable yield with manageable swings.
High duration
8+ yrs
Long Treasuries, zero-coupons, long munis. Big gains in falling-rate cycles, brutal losses when rates rip higher.
Common bond flavors
The mechanics in this calculator apply to every fixed-coupon bond on the planet. But the issuer category changes the credit profile, the tax treatment, and the typical yield — and those differences matter for what belongs in your portfolio.
U.S. Treasury
Backed by the federal government, considered the global benchmark for risk-free. Interest is federally taxable but exempt from state and local tax. T-bills (under 1 year), T-notes (2–10 years), T-bonds (20–30 years), and TIPS for inflation protection.
Corporate
Issued by companies. Higher yield than Treasuries to compensate for credit risk. Ratings run AAA down to D; "investment grade" is BBB- or better, "high yield" (junk) is below. Fully taxable.
Municipal
Issued by states, cities, and local agencies. Interest is usually federal-tax-free — and sometimes state-tax-free if you live in the issuing state. Lower headline yields but high tax-equivalent yields for top-bracket investors.
Zero-Coupon
No periodic coupons. Bought at a deep discount, redeemed at face value. The most rate-sensitive bond at any maturity. Treasury STRIPS are the canonical example; popular for matching a specific future cash need.
Three traps that catch retail investors
Confusing current yield with YTM
Quote screens love to flash current yield because it's the bigger number on a premium bond. But it ignores the price you'll lose when the bond matures at par. Always compare bonds on yield to maturity — it's the only number that captures the full return.
Ignoring call risk on premium bonds
If a bond is callable and trades above par, the issuer is incentivized to call it the day it becomes economical. Your YTM calculation assumes you hold to maturity — but the issuer might cut it short and refinance at a lower coupon. Use the yield-to-call toggle to see the worst case.
Underestimating duration on long bonds
A 30-year zero-coupon Treasury has a duration of around 30 years. A 100-basis-point rate move can move it 30%. Investors who think long Treasuries are "safe" because they're government-backed often miss that the credit risk is replaced by interest-rate risk on a different planet.
How to read your calculator results
- →Price status tells you premium / par / discount at a glance, with the dollar gap from face value.
- →Modified duration ≈ the % price change for a 1% yield move. Multiply by the change in yield to estimate a price swing.
- →Sensitivity table stress-tests the price at ±50, ±100, and ±200 bps. Look at the rows for the worst yield move you can stomach.
- →Cash flow timeline shows when income arrives. The last bar always has a principal lump because the face value is repaid at maturity.
- →Accrued interest only matters mid-period. It's the seller's slice of the next coupon — you reimburse it now and recover it on the next payment.
Frequently Asked Questions
Bond pricing, yield, and fixed-income basics
What does this bond calculator actually do?+
It takes any four of the five core bond inputs — price, yield, coupon, time to maturity, and face value — and solves for whichever one you left blank. Behind the scenes it discounts every future cash flow back to today and reports the things you actually care about: what a fair price looks like at a given yield, what yield you're earning at a given price, how much you'll collect in coupons, and how the price will move if rates shift. You don't need a finance textbook open to use it.
Why does my bond's price keep changing if the coupon is fixed?+
Because the price is the only thing that can adjust. The coupon is locked in at issuance. When the rest of the bond market starts demanding a higher yield, the only way to make your old, lower-coupon bond competitive is to drop the price. That extra discount becomes part of the new buyer's return. Same coupons, same maturity, different price — same total yield.
What's the difference between coupon rate, current yield, and YTM?+
The coupon rate is what the issuer prints on the bond — a fixed percentage of face value paid each year. The current yield is the coupon divided by today's price, so it changes whenever the price moves. Yield to maturity (YTM) is the most complete number: it folds in the coupons, the price you paid, and any capital gain or loss you'll book when the bond matures at par. For comparing two bonds, YTM is the apples-to-apples figure.
Why do I see two prices — clean and dirty — when I buy a bond?+
Bonds quote the clean price (what the bond is worth ignoring any partially-earned coupon), but you actually pay the dirty price (clean + accrued interest). The seller has been holding the bond since the last coupon date, so they've earned a slice of the next coupon. You reimburse them now and collect the full coupon on the next payment date. By the time the cycle completes, it all evens out.
Is a higher coupon always better?+
Not really. A high-coupon bond usually trades at a premium, so you pay extra upfront for that bigger paycheck. Over the life of the bond, that premium amortizes away and you end up roughly where you would have been with a par bond at the same yield. The income arrives sooner, but the total return depends on the YTM, not the coupon. The coupon decides cash-flow timing; YTM decides return.
What does duration tell me in plain English?+
It's a quick read on how much your bond's price will move when yields change. A modified duration of 7 means the bond loses roughly 7% if yields rise 1%, and gains roughly 7% if yields fall 1%. Short-term bonds have low duration and barely flinch when rates move. Long-term bonds — especially zero-coupon ones — have high duration and can swing 20%+ on a 1% rate change. Use it to size your interest-rate exposure.
Does this calculator work for zero-coupon bonds?+
Yes. Flip the zero-coupon toggle in Advanced Settings on the Bond Calculator tab. The math simplifies — there's only one cash flow, the face value at maturity — and the price is just the face value discounted back at the yield. Zero-coupon bonds also have the highest possible duration for any given maturity, so the sensitivity chart will show much larger price swings than a coupon bond at the same maturity.
What happens to bonds when the Fed cuts rates?+
Existing bond prices rise. The coupons on bonds already in circulation suddenly look more attractive than what new bonds are being issued at, so buyers bid the old bonds up until their yield matches the new lower rate. Long-duration bonds benefit the most — a 1% drop in yields can push a 20-year bond up 15% or more in price. The flip side: when the Fed hikes, the same math runs in reverse and long bonds drop hard.
How are bond gains and losses taxed in the U.S.?+
Interest from corporate and most government bonds is taxed as ordinary income at the federal level. U.S. Treasury interest is federal-taxable but exempt from state and local tax. Municipal bond interest is generally exempt from federal tax — and sometimes from state tax if you buy in-state. If you sell a bond before maturity for more than you paid, the gain is a capital gain. Selling at a loss can offset other capital gains. Tax laws shift, so confirm specifics with a CPA before filing.
Should I buy individual bonds or a bond fund?+
Individual bonds give you a known maturity date and a defined payout — useful for matching a future liability like college tuition or a home purchase. Bond funds give you instant diversification and professional management, but their share price floats with the market and they never truly mature. If you want a precise schedule of cash flows, individual bonds are clearer. If you want broad exposure to fixed income with low minimums, a fund is simpler. This calculator works for individual bonds; for funds, look at the fund's average YTM and average duration.
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