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Bond Yield Calculator

Calculate yield to maturity (YTM), current yield, Macaulay duration, and total return for any bond — plus a full price vs yield sensitivity table.

Bond Parameters

$
%
$
Enter the price you would pay today to buy this bond
Yield to Maturity
5.58%
10-year bond, $950 price, 5% coupon
Annual Coupon
$50.00
Current Yield
5.26%
YTM
5.58%
Total Coupon Income
$500.00
Capital Gain/Loss
+$50.00
Macaulay Duration
7.92 yrs

Price vs Yield Sensitivity

How this bond's price changes as market yields move ±300bps from the current YTM (—). Face value $1,000, coupon 5.00%, 10 years.

Market Yield Bond Price vs Current Price Current Yield Premium / Discount

Row highlighted in cyan represents the current YTM. Demonstrates the inverse relationship between bond price and yield.

Bond Types Reference

Overview of major bond categories, typical yields, credit risk, and tax treatment.

Bond Type Issuer Typical Yield Credit Risk Tax Treatment Best For
US Treasury Bills US Government 4–5.5% None Federal only Capital preservation, short-term
US Treasury Notes & Bonds US Government 4–5% None Federal only Safe income, long-term
TIPS US Government Real 1–2% None Federal only (phantom tax) Inflation protection
I-Bonds US Government CPI + fixed None Federal only (deferred) Inflation hedge, $10k/yr limit
Municipal (Muni) State/Local Gov 3–4.5% Very Low Often tax-exempt High-income investors
Agency (GNMA/FNMA) US Gov Agencies 4.5–5.5% Near Zero Fully taxable Higher yield than Treasuries
Investment-Grade Corporate BBB/Baa or better 4.5–6% Low–Moderate Fully taxable Income with moderate risk
High-Yield (Junk) BB/Ba or below 7–12% High Fully taxable Aggressive income seekers
Emerging Market Foreign Gov/Corp 5–10% High Fully taxable Global diversification

Key Concepts

Yield Curve

Normally, longer-term bonds yield more than short-term bonds. An inverted yield curve (short rates higher) has historically preceded recessions.

Credit Spread

The extra yield a corporate bond pays over a Treasury of the same maturity. A widening spread signals increasing default risk in the market.

Callable Bonds

Some bonds allow the issuer to redeem them early. Yield to Call (YTC) may be more relevant than YTM for these bonds, especially when trading at a premium.

Convexity

Duration linearly approximates price change; convexity captures the curvature. Positive convexity means bonds gain more when rates fall than they lose when rates rise by the same amount.

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How to Use This Calculator

1

Enter Bond Details

Input the face value, coupon rate, and maturity date of the bond.

2

Set Purchase Price

Enter the current market price or your purchase price for the bond.

3

Review Yield Metrics

View the current yield, yield to maturity (YTM), and total return.

Formulas & Methods

R

coupon / price

Delta

(pv - price) / dpv

Pv

coupon / Math.pow(1 + ytm, t)

Key Terms

Face Value (Par)An input parameter used in bond yield calculations. Adjust this value to see how it affects your results.
Annual Coupon RateAn input parameter used in bond yield calculations. Adjust this value to see how it affects your results.
Current Market PriceAn input parameter used in bond yield calculations. Adjust this value to see how it affects your results.
Years to MaturityAn input parameter used in bond yield calculations. Adjust this value to see how it affects your results.
PrecisionThe level of accuracy in calculation results. This bond yield calculator uses standard rounding conventions.

Real-World Examples

SA

Sarah

32-year-old marketing manager saving for her first home

Face Value (Par)
$25,000
Annual Coupon Rate
12%
Current Market Price
15 A
Years to Maturity
48
Estimated rate
12.4%

Try entering Sarah's values above to see the detailed breakdown.

Understanding Bond Yield

What Is Bond Yield?

Bond Yield is a fundamental concept that this calculator helps you understand and apply. Whether you're a beginner or experienced professional, having precise calculations at your fingertips saves time and reduces errors.

Why It Matters

Understanding bond yield helps you make informed decisions backed by data rather than guesswork. Small miscalculations can compound into significant errors, making accurate tools essential for planning and analysis.

How It Works

The Bond Yield Calculator applies established formulas and methodologies to your specific inputs. Results update in real-time, letting you experiment with different scenarios to find the optimal approach for your situation.

Tips & Best Practices

  • Start with realistic values — use actual data when available rather than rough estimates for more meaningful results.
  • Compare scenarios — try different input combinations to understand how each variable affects the outcome.
  • Save your work — use the Share button to bookmark specific calculations for future reference.
  • Consult professionals — for critical decisions, use calculator results as a starting point and verify with a qualified expert.
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Frequently Asked Questions

Basics What is Yield to Maturity (YTM)?
YTM is the total annualized return you would earn if you bought the bond today and held it until maturity, assuming all coupon payments are reinvested at the same yield. It is the single most widely used measure of bond return, accounting for price, coupons, and the par redemption value.
Basics How is YTM calculated?
YTM is the discount rate (r) that makes the present value of all future cash flows (coupons + face value) equal to the current bond price. There is no closed-form formula, so it must be solved iteratively. This calculator uses Newton-Raphson iteration for fast convergence.
Advanced Why do bond prices move opposite to yields?
When new bonds are issued at higher rates, existing bonds with lower coupons become less valuable. Their prices fall until their effective yield (YTM) matches the new market rate. This inverse relationship is the cornerstone of fixed income analysis.
Basics What is Macaulay Duration?
Macaulay Duration is the weighted average time (in years) until you receive all of the bond's cash flows. It also measures interest rate sensitivity: a 7-year duration bond will lose approximately 7% in price if yields rise by 1%. Zero-coupon bonds have the highest duration (equal to their maturity).
Basics What does it mean when a bond trades at a premium or discount?
A premium bond trades above face value — its coupon rate is higher than current market rates. A discount bond trades below face value — its coupon rate is lower than current market rates. At maturity, all bonds are redeemed at face value, so discount bonds produce a capital gain and premium bonds produce a capital loss.
Strategy Are municipal bond yields better after tax?
For high-income investors, yes. To compare a muni yield to a taxable bond, calculate the Tax-Equivalent Yield: Muni Yield / (1 - Tax Rate). For example, a 3.5% muni in the 32% bracket has a TEY of 5.15% — competitive with many corporate bonds.
Basics What is the difference between coupon rate and yield?
The coupon rate is fixed at issuance and determines the dollar coupon payment. The yield (current yield or YTM) changes as the bond's market price fluctuates. A bond with a 5% coupon and a price of $950 has a current yield of 5.26% and a YTM that is higher still, because you also gain $50 at maturity.

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