Tax-Equivalent Yield Calculator

A 4% tax-exempt municipal bond is not the same as a 4% taxable corporate bond for a high-income investor. At a 32% tax rate, you'd need a taxable yield of 5.88% to match the muni's after-tax income. This calculator shows the exact comparison for your tax rate.

Enter your tax-exempt yield, marginal tax rate, and optional taxable investment yield to see the full comparison instantly.

Tax-Equivalent Yield
Tax-Exempt Annual Income
Taxable After-Tax Income
Annual Income Difference
Break-Even Tax Rate
Verdict

Understanding Tax-Equivalent Yield

The tax-equivalent yield (TEY) formula converts a tax-exempt yield into the equivalent taxable yield — the return a taxable bond must offer to produce the same after-tax income:

Tax-Equivalent Yield = Tax-Exempt Yield ÷ (1 − Marginal Tax Rate)

Example: 4% muni bond, 32% combined tax rate:
TEY = 4% ÷ (1 − 0.32) = 4% ÷ 0.68 = 5.88%

A taxable bond must yield more than 5.88% to beat this muni after taxes.

The formula works because municipal bond interest is federally tax-exempt (and state-tax-exempt if you own bonds from your home state). For every dollar of muni interest, you keep the full dollar. For taxable interest, you keep only (1 − tax rate) of each dollar. The TEY formula normalizes both to the same after-tax basis.

When Municipal Bonds Beat Taxable Bonds

Municipal bonds become more attractive as your tax rate rises. At a 22% rate, a 4% muni has a TEY of only 5.13% — many investment-grade corporate bonds offer 5%+ yields, so the muni is competitive but not clearly superior. At 37%, the same muni has a TEY of 6.35% — most comparable corporate bonds can't match that after-tax yield, making the muni clearly advantageous.

4% Tax-Exempt Yield — Tax-Equivalent Yield at Different Tax Rates
Combined Tax Rate Tax-Equivalent Yield After-Tax on $100K Muni Worth It?
15%4.71%$4,000Maybe — depends on taxable options
24%5.26%$4,000Competitive — compare carefully
32%5.88%$4,000Often yes — hard to match after-tax
37%6.35%$4,000Usually yes — clear advantage

Including State Tax Exemption

For municipal bonds issued by your home state, interest is exempt from both federal and state income tax. This makes in-state bonds especially valuable. A California investor in the 37% federal + 13.3% state bracket has a combined marginal rate of approximately 50.3% on investment income. A 4% California muni has a TEY of 4% ÷ (1 − 0.503) = 8.05% — almost nothing in the taxable bond market can compete with that after-tax yield.

Municipal bonds belong in taxable accounts, not tax-deferred ones. The whole point of munis is their tax-exempt interest. Holding them in a traditional IRA or 401k wastes that exemption — withdrawals from those accounts are taxed as ordinary income regardless of what generated the gains. Always hold munis in taxable brokerage accounts and keep high-yielding taxable bonds and REITs in tax-deferred accounts.

For a comprehensive guide to placing investments in the right accounts to minimize taxes, read tax-efficient investing. To understand how capital gains taxes affect your investment returns, see the Capital Gains Tax Calculator.

Frequently Asked Questions

What is tax-equivalent yield?

Tax-equivalent yield (TEY) is the taxable return needed to match a tax-exempt investment's after-tax income. Formula: TEY = Tax-Exempt Yield ÷ (1 − Marginal Tax Rate). At 32% rate, a 4% muni bond has a TEY of 5.88% — you need a taxable investment yielding more than 5.88% to beat the muni after taxes.

When are municipal bonds better than corporate bonds?

Municipal bonds beat comparable corporate bonds when your combined marginal rate exceeds the break-even rate. For a 4% muni vs. 5.5% corporate: break-even = 1 − (4% ÷ 5.5%) = 27.3%. If your rate is above 27.3%, the muni produces more after-tax income. For investors in the 32%+ bracket, high-quality munis are usually the better fixed-income choice in taxable accounts.

Should I use the federal rate or combined federal+state rate?

Use your combined federal + state marginal rate if the municipal bond is from your home state (providing state tax exemption too). Use only the federal rate for out-of-state munis that are state-taxable. The home-state exemption can significantly increase the effective TEY, especially in high-tax states like California, New York, and Massachusetts.

Should I hold municipal bonds in an IRA or taxable account?

Always in a taxable account. Municipal bonds are designed for taxable accounts — their tax-exempt interest saves the most when you'd otherwise owe taxes on it. In a traditional IRA, all withdrawals are taxed as ordinary income regardless of the source; the muni's tax exemption is wasted. In a taxable account, you keep 100% of the muni interest.

What is the break-even tax rate for munis vs. taxable bonds?

Break-even rate = 1 − (Tax-Exempt Yield ÷ Taxable Yield). Example: 4% muni vs. 5.5% corporate: 1 − (4% ÷ 5.5%) = 27.3%. If your marginal rate exceeds 27.3%, the muni produces more after-tax income. Below 27.3%, the corporate wins. This calculator computes it automatically.

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Formula sources & accuracy standards: Calculator Methodology · Editorial Policy

Sources & method

This calculator implements the tax-equivalent-yield formula — standard financial mathematics that no single body maintains as an official standard. The formula is shown on this page so you can verify it.

Not financial or tax advice. This is an educational estimator. It does not know your full situation, and tax rules change. Akshaya Panda, who builds and verifies these tools, is an engineer — not a financial adviser, accountant, or tax professional. Before acting on a result that matters, check it with someone licensed to advise you.