Interest Rate Risk
Long-term bonds (20+ years) are much more volatile than short-term bonds. A 30-year Treasury can lose 20%+ of its value if rates rise 2%.
Bond price & yield
Bond Calculator
Determine bond yield and price.
Calculation mode
01
Bond fundamentals
02
Market variables
Enter the bond's current trading price to calculate yield
Used for sensitivity analysis
2026 forecast: 2.5-3%
03
Advanced pricing
Bond valuation
$950
Current bond price
YTM
5.66%Current yield
5.26%Real yield
2.86%Coupon rate5.00%
Discount, capital gain potential
-$50
5.0% below face. YTM 5.66% vs coupon 5.00%, gain $50 at maturity.
Purchasing power
+2.86%
Real yield after inflation
Real return about 2.86% with YTM 5.66% and inflation 2.8%.
Rate sensitivity
| Shift | New rate | Price | Change |
|---|---|---|---|
| -2% | 3.50% | $1,126 | +$176 (+18.5%) |
| -1% | 4.50% | $1,040 | +$90 (+9.5%) |
| 0% | 5.50% | $962 | +$12 (+1.3%) |
| +1% | 6.50% | $891 | $-59 (-6.2%) |
| +2% | 7.50% | $826 | $-124 (-13.0%) |
Why Bonds Aren't Just "Safe" Savings
The bond market's inverse relationship means that when interest rates rise, your existing bond's value falls. A 1% rate increase can wipe out years of coupon payments for long-term bonds.
Bond Risk Insights
The Default Reality
Corporate bonds carry credit risk. A bond's yield reflects both interest rate risk and the issuer's creditworthiness. High yield = higher risk.
Inflation: The Bond Killer
Fixed coupon payments lose purchasing power in high-inflation environments. A 5% yield with 3% inflation means only 2% real return.
Price-Yield Inverse
When market rates rise, bond prices fall so yields match. When rates fall, existing bonds with higher coupons become more valuable.
Bonds in 2026: Understanding Price-Yield Dynamics
Master the inverse relationship between bond prices and interest rates. Learn why "fixed" income requires active risk management.
What This Calculator Does
This bond calculator determines either the fair price of a bond given a target yield, or the yield to maturity (YTM) given a market price. It handles coupon-paying bonds (annual or semi-annual) and zero-coupon bonds, displaying the result alongside current yield, total coupon payments, and a premium/par/discount classification.
- Who it helps:Individual investors evaluating fixed-income purchases, finance students studying present-value concepts, and anyone comparing bond offerings across different maturities and coupon rates.
- What it outputs:Bond price or YTM (whichever you solve for), current yield, total interest payments over the holding period, and whether the bond trades at a premium, at par, or at a discount relative to face value.
- What it does NOT do:It does not account for credit risk, call provisions, inflation-adjusted returns, or tax treatment of coupon income. Pricing assumes a clean price; accrued interest for mid-period trades is not calculated. All computations run locally in your browser.
How to Use This Calculator
Select your calculation mode: choose “Calculate Price” if you know the desired yield to maturity, or “Calculate Yield” if you know the current market price. Enter the bond’s face value (par value, typically $1,000), the annual coupon rate, coupon payment frequency (annual or semi-annual), and years remaining to maturity.
- Known variable:Enter the desired YTM (for price calculation) or the current market price (for yield calculation). For zero-coupon bonds, set the coupon rate to 0% and the calculator handles the rest.
- Interpreting results:A bond trading above face value is at a premium (yield < coupon rate). A bond below face value is at a discount (yield > coupon rate). At par, yield equals the coupon rate.
- Comparing scenarios:Try different maturity lengths or coupon rates to see how duration affects price sensitivity to interest-rate changes. Longer-duration bonds swing more in price for the same yield change.
The Price-Yield Relationship Explained
Bond Price Formula
Bond price is the present value of future coupon payments plus face value. For a bond with coupon C, face value F, yield y, and n periods:
YTM (yield to maturity) is the rate y that makes this equal to the market price.
When Rates Rise:
- New bondsoffer higher coupons, making existing bonds less attractive.
- Bond prices falluntil their yield matches the new market rate.
- Long-term bondssuffer the most, as they're locked into lower rates for decades.
When Rates Fall:
- Existing bondswith higher coupons become more valuable.
- Bond prices riseas investors pay a premium for above-market yields.
- Premium bondstrade above face value, but you'll face a capital loss at maturity.
Bond Calculator FAQ
Why do bond prices fall when interest rates rise?
When market interest rates increase, newly issued bonds offer higher coupon payments. Your existing bond with a lower coupon becomes less attractive, so its price must fall until its yield matches the new market rate. This is the fundamental inverse relationship in bond markets.
What is the difference between coupon rate and yield?
The coupon rate is the fixed annual interest payment as a percentage of face value. Yield (YTM) is your actual return, accounting for the price you paid. If you buy a bond at a discount, your yield exceeds the coupon rate. If you pay a premium, your yield is lower than the coupon rate.
Is a bond's YTM the same as its annual return?
YTM assumes you hold the bond to maturity and reinvest all coupon payments at the same YTM rate. Your actual annual return may differ if you sell early or reinvest at different rates. YTM is the best estimate of total return if held to maturity.
What happens if I sell a bond before maturity?
Selling before maturity exposes you to interest rate risk. If rates have risen, you'll likely sell at a loss. If rates have fallen, you may realize a capital gain. The bond's price will reflect current market rates, not the original coupon rate.
What is a 'Zero-Coupon' bond?
Zero-coupon bonds pay no periodic interest. Instead, they're sold at a deep discount to face value. Your return comes entirely from the price appreciation to face value at maturity. These bonds are the most sensitive to interest rate changes.
What is the difference between clean price and dirty price?
The clean price is the bond's market price excluding accrued interest. The dirty price (also called invoice price) is the clean price plus accrued interest, this is what you actually pay when buying a bond between coupon dates. Bond markets typically quote clean prices, but you pay the dirty price.
What are day-count conventions?
Day-count conventions are rules for calculating the number of days in interest periods. Actual/Actual (used for U.S. Treasuries) uses real calendar days. 30/360 (used for corporate bonds) assumes 30 days per month. The convention affects accrued interest calculations when bonds are traded between coupon dates.
Sources & citations
References used for the calculation method and definitions. Links open in a new tab when available.
[1]
FINRA – Bonds and Fixed Income
FINRA guide covering bond pricing, yield to maturity, credit risk, and day-count conventions for individual investors.
Financial Estimation Note
General Projections: Results are mathematical estimates based on the rates and formulas currently loaded for this tool, including year-specific tax data where noted. They are intended for high-level planning only.
No Advice Provided: This site does not provide financial, tax, or legal advice. Using this tool does not create a client-advisor relationship with CalcRegistry.
Confirm Numbers: Financial laws change frequently. Please verify all results with a qualified professional (CPA, Financial Planner, or Lawyer) before making significant financial decisions.
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