Tax Equivalent Yield Calculator

Enter your tax-free yield, federal marginal tax bracket, and state marginal tax bracket to find the tax-equivalent yield — the taxable return you'd need to match a tax-exempt investment like a municipal bond. Adjust your brackets to see how higher taxes make tax-free bonds increasingly attractive compared to taxable alternatives.

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The annual yield on your tax-free investment, such as a municipal bond.

Your highest federal income tax rate based on your taxable income.

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Your state income tax rate. Enter 0 if your state has no income tax.

Results

Tax-Equivalent Yield

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Tax-Free Yield

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Combined Tax Rate

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Yield Advantage (Tax-Equiv. vs Tax-Free)

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Tax-Free Yield vs Tax-Equivalent Yield

Frequently Asked Questions

What is tax-equivalent yield?

Tax-equivalent yield is the pretax return a taxable investment must earn to match the after-tax return of a tax-exempt investment, such as a municipal bond. It allows investors to make an apples-to-apples comparison between taxable and tax-free options. The higher your combined tax rate, the higher the tax-equivalent yield will be.

How is tax-equivalent yield calculated?

The formula is: Tax-Equivalent Yield = Tax-Free Yield ÷ (1 − Combined Tax Rate). The combined tax rate accounts for both your federal and state marginal tax brackets, with the state tax deduction applied against the federal rate. This gives you the taxable yield you'd need to match what a tax-free investment provides.

Why do municipal bonds have lower yields than taxable bonds?

Municipal bonds pay interest that is generally exempt from federal income tax and often state income tax too. Because investors receive the full yield without a tax haircut, issuers can offer lower nominal rates while still providing a competitive after-tax return — especially for investors in higher tax brackets.

Who benefits most from tax-free investments?

Investors in higher marginal tax brackets benefit the most from tax-free investments. The tax-equivalent yield rises significantly as your combined federal and state tax rate increases, making municipal bonds and other tax-exempt securities more attractive relative to taxable alternatives for high-income earners.

Does this calculator account for the state tax deduction on federal returns?

Yes. This calculator assumes that state taxes paid are fully deductible on your federal return. The combined effective tax rate is therefore calculated as: Federal Rate + State Rate × (1 − Federal Rate). If state taxes are not deductible in your situation, add your state rate directly to the federal rate field instead.

Are municipal bond yields always tax-free?

Most municipal bonds are exempt from federal income tax, and bonds issued in your home state are often exempt from state and local taxes as well. However, some municipal bonds — particularly private activity bonds — may be subject to the Alternative Minimum Tax (AMT). Always verify the tax status of a specific bond before investing.

Can I use this calculator for other tax-free investments?

Yes. While municipal bonds are the most common example, any investment with a tax-free or tax-advantaged yield can be evaluated using this calculator. Simply enter the stated tax-free yield and your marginal tax rates to find the equivalent taxable return you would need to match it.

What if my state has no income tax?

If you live in a state with no income tax — such as Florida, Texas, or Washington — simply enter 0% for the state marginal tax bracket. Your combined tax rate will equal only your federal marginal rate, which will lower the tax-equivalent yield compared to investors in high-tax states.

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