Tax Equivalent Yield Calculator

This tax equivalent yield calculator compares taxable and tax-free bonds. Enter municipal yield and tax rate to see the equivalent taxable yield instantly.

Tax Equivalent Yield Calculator | Municipal Bond Yield Comparison
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Tax-Exempt & Taxable Yields
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Tax Equivalent Yield (TEY) = Tax-Exempt Yield ÷ (1 − Tax Rate). It shows the taxable yield you would need to earn to match a tax-exempt investment after taxes.

Tax Equivalent Yield Analysis
📊 Tax Equivalent Yield: —
Tax-Exempt Yield—
Marginal Tax Rate—
After-Tax Rate Factor (1 − Tax Rate)—
Tax Equivalent Yield (TEY)—
Equivalent Taxable Yield Advantage—
Investment Amount—
Annual Tax-Exempt Income—
Equivalent Taxable Income Needed—
Annual Tax Savings—
Effective After-Tax Yield on Taxable Bond—
Tax Equivalent Yield by Tax Bracket
Tax BracketAfter-Tax FactorTaxable EquivalentAdvantage vs Tax-ExemptStatus

Enter yield details to view tax bracket comparison.

Shows the tax equivalent yield at various marginal tax rates.

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Creator & Reviewer

Hasnain Khan

Co-Founder, Techraxy

Hasnain Khan is a digital tools developer and Co-Founder of Techraxy, a platform dedicated to building modern web-based calculators and utility tools. He focuses on tool optimization, website performance, and creating accessible user experiences across categories like automotive, finance, construction, and everyday utilities.

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Introduction to Tax Equivalent Yield Calculator

Tax equivalent yield (TEY) is the yield a taxable bond must offer to equal the after-tax return of a tax-free municipal bond. Municipal bond interest is generally exempt from federal income tax and sometimes state tax. This makes municipal bonds attractive for investors in higher tax brackets. For example, if you are in the 32% tax bracket, a 4% tax-free municipal bond is equivalent to a 5.88% taxable bond. This Tax Equivalent Yield Calculator helps you compare taxable and tax-free investments accurately. Enter the tax-free bond yield, your marginal tax rate, and state tax rate. The calculator shows your TEY, after-tax yield, and an investment recommendation. Toolraxy built this calculator to help bond investors evaluate municipal bonds against taxable alternatives and make tax-efficient investment decisions.

How to Use This Tax Equivalent Yield Calculator

              1. Enter the Tax-Free Bond Yield (municipal bond yield)

              2. Enter your Marginal Tax Rate (federal tax bracket)

              3. Enter your State Tax Rate (if state taxes apply)

              4. Select your Filing Status (optional – for context)

              5. Click Calculate to see your tax equivalent yield

              6. Review the TEY and after-tax comparison

              7. See the break-even tax rate

              8. Adjust inputs to compare different bonds

Formula Section

Tax equivalent yield:

TEY = Tax-Free Yield ÷ (1 – Combined Tax Rate)

Combined tax rate:

Combined Tax Rate = Federal Tax Rate + State Tax Rate – (Federal × State)

Simplified combined tax rate (if state tax deductible):

Combined Tax Rate = Federal Tax Rate + State Tax Rate

After-tax yield on taxable bond:

After-Tax Yield = Taxable Yield × (1 – Combined Tax Rate)

Break-even tax rate:

Break-Even Tax Rate = 1 – (Tax-Free Yield ÷ Taxable Yield)

Tax savings from municipal bond:

Tax Savings = Taxable Equivalent Yield – Tax-Free Yield

Where:

  • TEY = Tax Equivalent Yield

  • Tax-Free Yield = Municipal bond yield

  • Combined Tax Rate = Federal + state tax rate

  • After-Tax Yield = Return after taxes on taxable bond

Real-Life Examples Section

  • Example scenario:

    • Tax-free bond yield: 4.0%

    • Federal tax rate: 32%

    • State tax rate: 0% (assume no state tax)

    • Combined tax rate: 32%

    Calculations:

    • Tax equivalent yield: 4.0% ÷ (1 – 0.32) = 5.88%

    • After-tax yield on taxable bond: 5.88% × (1 – 0.32) = 4.00%

    • Break-even tax rate: 1 – (4.0% ÷ 5.88%) = 32%

    • Tax savings: 5.88% – 4.0% = 1.88%

FAQs

1. What is tax equivalent yield?
Tax equivalent yield (TEY) is the yield a taxable bond must offer to equal the after-tax return of a tax-free municipal bond. It helps investors compare taxable and tax-free investments fairly.

2. How is tax equivalent yield calculated?
TEY = Tax-Free Yield ÷ (1 – Tax Rate). For example, a 4% municipal bond in a 32% tax bracket has a TEY of 5.88% (4% ÷ 0.68).

3. What is a good tax equivalent yield?
A good TEY depends on your tax bracket and available taxable alternatives. If you can find a taxable bond yielding more than the TEY, the taxable bond is the better after-tax choice.

4. What is the difference between tax equivalent yield and after-tax yield?
TEY converts a tax-free yield to its taxable equivalent. After-tax yield converts a taxable yield to its after-tax equivalent. Both help compare investments.

5. Who benefits most from municipal bonds?
Investors in higher tax brackets (24%+) benefit most from municipal bonds. The higher your tax bracket, the greater the tax savings from tax-exempt interest.

6. Are municipal bonds always tax-free?
Most municipal bonds are exempt from federal income tax. Some are also exempt from state and local taxes, especially if issued in your state of residence. Capital gains may still be taxable.

7. What is the difference between TEY and taxable equivalent yield?
They are the same concept. Tax equivalent yield (TEY) and taxable equivalent yield are used interchangeably.

8. How does state tax affect TEY?
State tax increases the combined tax rate, which increases TEY. If your state taxes municipal bond interest, include it. In-state municipal bonds are often state-tax exempt.

Disclaimer

This Tax Equivalent Yield Calculator is provided for educational and planning purposes only. Results are based on standard financial formulas and the numbers you enter. Actual tax rates and investment returns depend on your specific tax situation, state of residence, and market conditions. This tool does not constitute financial or tax advice. Consult a licensed financial advisor or tax professional before making investment decisions. Toolraxy is not responsible for any actions taken based on these calculations.

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