What is yield to maturity?

Yield to maturity (YTM) is the total annualized return an investor earns if they hold the bond until it matures and all payments are made on time. It accounts for both coupon income and any capital gain or loss from buying at a discount or premium to par.

How is YTM different from the coupon rate?

The coupon rate is the fixed annual interest rate printed on the bond. YTM reflects the actual return based on the current market price. A bond bought below par has a YTM above its coupon rate; one bought above par has a YTM below its coupon rate.

What method does this calculator use?

It uses the Newton-Raphson iterative method on the bond pricing equation, converging to a precise YTM within a tolerance of 0.000001%. This is far more accurate than the common textbook approximation formula.

What does semi-annual compounding mean?

Most bonds pay coupons twice a year. Selecting semi-annual mode halves each coupon payment and doubles the number of periods. The resulting periodic rate is then annualized by multiplying by 2 (bond equivalent yield convention).

Yes. If you pay a large premium above par on a low-coupon bond near maturity, the capital loss can outweigh the coupon income, resulting in a negative YTM. This occurred widely with European government bonds in 2016–2021.

Yield to Maturity Calculator

Name: Yield to Maturity Calculator
Availability: InStock
Author: Nham Vu

Enter a bond's face value, coupon rate, current price, and years to maturity to calculate its yield to maturity (YTM) instantly.

Bond Parameters

Face Value / Par Value ($)

Annual Coupon Rate (%)

Current Market Price ($)

Years to Maturity

Coupon Frequency

Yield to Maturity

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Annual bond equivalent yield

Current Yield

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Annual Coupon Payment

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Price vs. Par

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Total Return (hold to maturity)

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Summary

Enter a bond's face value, coupon rate, current price, and years to maturity to calculate its yield to maturity (YTM) instantly.

How it works

Enter the bond's face value (par value), typically $1,000.
Enter the annual coupon rate as a percentage (e.g., 5 for 5%).
Enter the bond's current market price.
Enter the number of years remaining to maturity.
Optionally choose semi-annual or annual coupon payments.
The tool uses Newton's method to solve for the exact YTM and shows the full breakdown.

Use cases

Compare yields across bonds with different coupon rates and prices.
Determine whether a bond is fairly priced relative to a target return.
Evaluate corporate bond offerings against benchmark Treasury yields.
Academic fixed-income coursework and CFA exam practice.
Assess reinvestment risk when comparing YTM to current yield.
Screen bond ladders for consistent after-tax return targets.

Frequently Asked Questions

Last updated: 2026-06-11 · Reviewed by Nham Vu