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Yield to Maturity (YTM) Calculator

Calculate the Yield to Maturity (YTM) of an interest-bearing bond.

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Calculation Parameters

Specify your inputs below.

Calculated Result

Annual Coupon Flow $60.00
Yield to Maturity (YTM) 6.71%
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Expert Tip

YTM represents the total internal rate of return (IRR) of a bond if held until maturity, assuming all coupons are reinvested at the same rate.

How this Calculator Works

This calculator determines a bond's Yield to Maturity (YTM), the total annual interest rate expected if the bond is held until its final maturity date. It factors in coupon cash flows and the purchase discount or premium.

Formula & Methodology

Price = Sum [ Coupon / (1 + y)^t ] + Par Value / (1 + y)^T Approximation: YTM ≈ [ Coupon + (Par Value - Price) / T ] / [ (Par Value + Price) / 2 ] * 100 - Coupon is the annual interest coupon. - Price is the market price of the bond. - Par Value is the face value. - T is the remaining years to maturity.

Step-by-Step Calculation Example

Here is a step-by-step example showing how the calculations are performed:

A 5-year bond pays a $50 annual coupon, trades at $960, and has a par value of $1,000. 1. Calculate estimated numerator: $50 + ($1,000 - $960) / 5 = $58. 2. Calculate average bond price: ($1,000 + $960) / 2 = $980. 3. Divide: $58 / $980 = 5.92%. Result: The approximate Yield to Maturity (YTM) is 5.92%.

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Detailed Insights & Expert Guide

ℹ️ About this Calculation

This fixed income and debt investment calculator analyzes bond pricing, coupon yield to maturity (YTM), Macaulay/modified duration, credit risk spreads, and debt coverage ratios based on Wall Street fixed income analytics.

Variable Glossary

Input

Fixed Income Data

Par value ($1,000), coupon rate %, payment frequency, maturity years, corporate credit spread, or tax rate %.

Parameter

Bond Performance

Yield to Maturity (YTM %), present bond price ($), modified duration (years), or Tax-Equivalent Yield (TEY).

How to Calculate Step-by-Step

1

Step 1

Input bond face value, annual coupon interest rate, or corporate credit default swap (CDS) basis points.

2

Step 2

Select payment schedule frequency (annual, semi-annual) and years remaining until maturity date.

3

Step 3

Review calculated yield to call/maturity, interest rate sensitivity duration, or debt service coverage (DSCR).

FAQ

How does bond duration measure interest rate risk?
Modified duration estimates the approximate percentage change in a bond's price for a 1% (100 bps) shift in interest rates. Higher duration indicates greater price sensitivity to rate moves.
What is Tax-Equivalent Yield (TEY) for municipal bonds?
Tax-Equivalent Yield = Municipal Tax-Exempt Yield / (1 - Marginal Tax Rate). It shows the pre-tax yield a taxable bond would need to equal the after-tax yield of a tax-free municipal bond.
Can fixed income calculators guarantee bond trading outcomes?
No. Bond pricing models assume clean compounding yields and fixed reinvestment rates. Secondary market prices fluctuate based on liquidity, credit rating revisions, and market interest rate movements.