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Municipal Bond Tax Equivalent Yield Calculator

Calculate the equivalent taxable yield of a tax-exempt municipal bond.

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Calculation Parameters

Specify your inputs below.

Calculated Result

Total Tax Drag Rate 26.00%
Tax Equivalent Yield 4.86%
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Expert Tip

State tax exemption applies if you buy municipal bonds issued within your own state of residence.

How this Calculator Works

This calculator computes the Tax Equivalent Yield of a municipal bond, allowing investors to compare municipal bond returns directly to taxable corporate bond yields based on their marginal income tax rate.

Formula & Methodology

Tax Equivalent Yield = Tax-Free Municipal Yield / (1 - Tax Rate) - Tax-Free Municipal Yield is the nominal coupon yield of the municipal bond. - Tax Rate is the marginal income tax rate (as a decimal).

Step-by-Step Calculation Example

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

A municipal bond yields 4.20% tax-free, and the investor is in a 28% tax bracket. 1. Calculate denominator: 1 - 0.28 = 0.72. 2. Divide yield by denominator: 4.20% / 0.72 = 5.83%. Result: The tax equivalent yield of the municipal bond is 5.83%.

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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.