Bond Calculator — the United States 2026
Evaluating fixed-income investments? Run the numbers.
Estimate US bond income, yield, price, coupon payments, maturity value, and USD cash flow.
United States Bond Calculator Notes
US bond investors often compare Treasury, municipal, and corporate bonds by coupon income, purchase price, yield to maturity, call risk, and tax treatment.
Use this USD version to model face value, coupon rate, market price, maturity proceeds, and the income stream before deciding what fits a portfolio.
This page uses US Treasury, municipal, corporate-bond, and USD terminology rather than US bond or UK gilt wording.
US setup: this bond is tuned for dollar-denominated scenarios, American payroll and tax references, state-by-state cost differences, and the finance terms people see in lender, employer, or IRS-facing documents.
The page keeps US language in place where it is relevant, including IRS, federal withholding, FICA, 401(k), sales tax, miles, APR, down payment, paycheck, state tax, and USD totals.
Treat the answer as a United States estimate; before acting, compare it with provider disclosures, state rules, federal guidance, lender underwriting, payroll settings, or advice from a qualified professional.
Uses present value formula: P = C × [(1−(1+r)⁻ⁿ)/r] + FV/(1+r)ⁿ. Annual coupon frequency used by default; semi-annual in Standard mode.
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The bond price is the present value of all future cash flows — periodic coupon payments and the face value returned at maturity — discounted at the market yield. The price composition chart shows how much of the price comes from coupon income vs the final face value repayment.
Current yield = coupon ÷ price. Simple measure of running income. YTM is more comprehensive — it includes both coupon income and any capital gain/loss at maturity. Always compare bonds using YTM, not current yield.
A bond's coupon rate is set at issuance and never changes. But the market price fluctuates daily as market yields change. If you hold to maturity, you receive all coupons plus exactly the face value — regardless of what the price does in between.
Long-dated bonds have more future cash flows, so each 1% yield change affects the price more. A 30-year zero coupon bond might lose 25% of its value if yields rise 1%. A 2-year bond might lose only 2%. Use Standard mode to see duration — this is the key risk measure.
Duration tells you how sensitive your bond is to interest rate changes — the key risk for investment-grade bonds.
The weighted average time to receive the bond's cash flows. A Macaulay duration of 8 years means you receive the equivalent of all cash flows, on average, in 8 years. Zero coupon bonds have duration equal to their maturity.
Modified duration ≈ Macaulay duration ÷ (1 + YTM). If modified duration is 7.5, a 1% yield rise causes approximately a 7.5% price fall. This is the key number for understanding interest rate risk.
If you expect yields to rise, shorter duration bonds lose less value. Bond ETFs manage duration automatically — short-duration ETFs (e.g. 1–3 year) have much lower interest rate risk than long-duration ones (10+ years). Match duration to your investment horizon to minimise risk.
If you are considering investing in US bonds, these are the key practical points.
Bond ETFs like VAF (Vanguard US Fixed Interest) and IAF (iShares Core Composite Bond) provide instant diversification across hundreds of bonds with low minimums and MERs of 0.20–0.26% per year They are the simplest way for US retail investors to access the bond market.
The US Office of Financial Management (AOFM) allows retail investors to buy Commonwealth Government bonds directly with minimums of $1,000. NYSE/NASDAQ-listed AGBs (US Government Bonds) can also be bought through any broker on the NYSE/NASDAQ. These carry zero credit risk.
Bonds typically serve as portfolio stabilisers. They often rise when equities fall (flight to safety) and provide regular income via coupons. A balanced US portfolio typically holds 20–40% in bonds and cash, scaling higher as investors approach retirement and capital preservation becomes more important.
How bond prices are calculated from yield to maturity
The bond pricing formula
A bond's price equals the present value of all future cash flows — periodic coupon payments plus the face value returned at maturity — discounted at the market yield (YTM).
P = C × [1 − (1+r)⁻ⁿ] / r + FV / (1+r)ⁿ
Where C = periodic coupon, r = periodic yield, n = number of periods, FV = face value.
Premium, par, and discount
| Situation | Bond price | Why |
|---|---|---|
| Coupon > YTM | Above face (premium) | Bond pays more than market — worth more |
| Coupon = YTM | At face (par) | Bond pays exactly market rate |
| Coupon < YTM | Below face (discount) | Bond pays less than market — worth less |
Example: $1,000 bond, 5% coupon, 4% YTM, 10 years
Annual coupon: $50. At 4% YTM: PV of coupons = $50 × [(1−(1.04)⁻¹⁰)/0.04] = $405.55. PV of face = $1,000/(1.04)¹⁰ = $675.56. Bond price = $405.55 + $675.56 = $1,081.11.
The three most important bond metrics and how they differ
Yield to maturity (YTM)
YTM is the total annualised return you will receive if you buy a bond today at its current price and hold it to maturity, collecting all coupons and the face value repayment. It is the most comprehensive yield measure because it accounts for both coupon income and any capital gain or loss (from buying at a premium or discount).
Current yield
Current yield = annual coupon ÷ current price. Simpler than YTM but ignores the capital gain/loss component. If you buy a $1,000 bond at $913 (discount) with a 3% coupon, current yield = $30/$913 = 3.28%, but YTM = 5% because you will also receive the $87 capital gain at maturity.
Duration — interest rate risk
Duration measures a bond's price sensitivity to yield changes. Macaulay duration is the weighted average time to receive the bond's cash flows (in years). Modified duration estimates the percentage price change for a 1% change in yield. For example, a modified duration of 8.1 means a 1% yield rise causes roughly an 8.1% price fall.
| Bond feature | Effect on duration |
|---|---|
| Longer maturity | Higher duration (more sensitive) |
| Higher coupon | Lower duration (cash returned sooner) |
| Higher yield | Lower duration (future CFs discounted more) |
| Zero coupon bond | Duration = maturity (most sensitive) |
CGS yields, corporate bonds, and how to access the US bond market
US Treasury Securities (Treasuries)
US Treasuries are the benchmark risk-free bonds issued by the US federal government (Department of the Treasury). They are the safest USD-denominated bonds available. In recent years, the 10-year Treasury yield has been approximately 4.0–4.5% per year, reflecting the elevated interest rate environment following Federal Reserve rate rises in 2022–2023.
Yield curve
| Term | Approx. Treasury yield (recent) |
|---|---|
| 2 years | ~4.0%–4.1% |
| 5 years | ~4.1%–4.3% |
| 10 years | ~4.3%–4.5% |
| 30 years | ~4.5%–4.7% |
Corporate bonds
Corporate bonds pay a "spread" above CGS to compensate for credit risk. AAA-rated corporate bonds might yield 0.3–0.8% above CGS; BBB-rated 1.0–2.5% above. High-yield (sub-investment grade) bonds trade 3–6%+ above CGS.
How to access US bonds
Retail investors can access US bonds via: NYSE/NASDAQ-listed bond ETFs (VAF from Vanguard, IAF from iShares — minimum ~1 unit); direct bond purchases via brokers (typically $10,000+ minimum); or Commonwealth Government bonds via the AOFM retail bond facility. Bond ETFs are the simplest option for most retail investors.
Interest rate risk, credit risk, inflation risk, and how bonds fit an US portfolio
Interest rate risk
The biggest risk for investment-grade bonds. When yields rise, bond prices fall. A portfolio of 10-year bonds with modified duration of 8 would lose approximately 8% in value if yields rise 1%. Shorter-duration bonds and floating-rate notes have lower interest rate risk.
Credit risk
The risk that the issuer defaults on interest or principal payments. Government bonds have essentially zero credit risk in their home currency. Corporate bonds carry credit risk proportional to the issuer's financial health — rated by S&P, Moody's, and Fitch from AAA (highest) to D (default).
Inflation risk
Fixed coupon bonds lose real value when inflation rises — the coupon is fixed but purchasing power falls. Inflation-linked bonds (US CIBs — Capital Indexed Bonds) adjust the principal for CPI, protecting real returns. The US Office of Financial Management (AOFM) issues CIBs.
Bonds in an US portfolio
Bonds typically serve as a portfolio stabiliser — they tend to rise when equities fall (during recessions) and provide income through coupons. US financial planners commonly recommend 20–40% allocation to defensive assets (bonds + cash) for balanced portfolio approaches, scaling higher as investors approach retirement.
Frequently asked Frequently asked questions
What is the relationship between bond prices and yields?
Bond prices and yields move in opposite directions — an inverse relationship. When market yields rise, existing bonds become less attractive (their fixed coupons pay less than new bonds), so their prices fall. When yields fall, existing bonds become more attractive, so prices rise. A $1,000 bond with a 5% coupon trades at a premium if market yields are 4%, and at a discount if market yields are 6%.
What are US Treasury or municipal bond yields in 2026?
In recent years, US Treasury yields have been approximately 4.0–4.3% for 2-year Treasuries and 4.0–4.5% for 10-year Treasuries, reflecting the elevated interest rate environment following The Federal Reserve's rate rises from 2022 to 2023. Corporate bonds yield more — typically 0.5–3% above Treasuries depending on credit rating.
What is yield to maturity (YTM)?
YTM is the total annualised return you will earn by holding a bond from today until maturity, assuming all coupons are reinvested at the same rate. It accounts for both coupon income and any capital gain (if bought at discount) or loss (if bought at premium). YTM is the most comprehensive yield measure and is the standard way to compare bonds with different prices, coupons, and maturities.
How do I buy bonds in the United States?
Retail investors have several options: NYSE/NASDAQ-listed bond ETFs (e.g. VAF, IAF) can be purchased with as little as the price of one unit ($50–$200); direct corporate or Treasury or municipal bonds can be purchased via online brokers (minimum typically $10,000+); or Commonwealth Government bonds can be purchased directly through the US Office of Financial Management (AOFM) retail facility. Bond ETFs are the most accessible option for most investors.
Where these figures come from
Savings and investment figures on this page are drawn from The Federal Reserve (rates), the FDIC (deposit insurance), The SEC (investor protection), and The IRS (tax treatment of retirement vehicles).
- Federal funds rate — Federal Reserve — Open Market Operations.
- Interest rate & economic series — FRED — Federal Reserve Economic Data.
- Deposit insurance (up to $250,000) — FDIC — Deposit Insurance.
- Investor education — SEC — Investor.gov.
- IRA & 401(k) contribution limits — IRS — Retirement Plan Contribution Limits.
Last checked: April 2026. Rates and thresholds are reviewed against the source of record each November, when annual adjustments for the following tax year are published.