Taxable Equivalent Yield (TEY) Calculator

What is Taxable Equivalent Yield (TEY)?

Municipal bonds pay interest that is exempt from federal income taxes. The Taxable Equivalent Yield tells you exactly what yield a taxable bond (like a corporate bond or Treasury) would need to offer in order to produce the same after-tax income as a lower-yielding, tax-free municipal bond. It is the single most useful metric for comparing tax-free vs. taxable fixed-income investments.

Mathematical Foundation

TEY = \frac{\text{Tax-Free Yield}}{1 - \text{Marginal Tax Rate}}

\text{Tax-Free Yield}

= The stated annual yield on the municipal bond

\text{Marginal Tax Rate}

= Your top federal income tax bracket (as a decimal, e.g., 0.24 for 24%)

Laws & Principles

The Higher Your Tax Bracket, the More Valuable Munis Are: A 4% muni bond is worth the equivalent of a 5.26% taxable bond for someone in the 24% bracket, but it's equivalent to a 6.67% taxable bond for someone in the 40% combined bracket. For very high earners, munis can be the smartest fixed-income allocation.
The Low-Income Trap: For investors in the 10% or 12% federal tax bracket, municipal bonds almost never make sense. The after-tax yield on standard Treasuries or corporate bonds will nearly always beat the tax-free muni yield.

Step-by-Step Example Walkthrough

" A muni bond offers a 4.0% tax-free yield. Your marginal income tax rate is exactly 24%. "

1. Find Denominator: 1 - 0.24 = 0.76
2. Calculate TEY: 4.0% / 0.76 = 5.263%

Final Result: You would need to find a taxable bond yielding at least 5.26% to match the after-tax income from this 4% muni bond. If Treasury bonds currently yield only 4.8%, the municipal bond is the mathematically superior choice.

Quick Answer: How does the TEY Calculator work?

Enter the tax-free municipal bond yield and your marginal federal tax bracket. The calculator instantly shows the Taxable Equivalent Yield — the exact yield a taxable bond must offer to put the same amount of cash in your pocket after taxes. Use the quick-select tax bracket buttons for the 7 current federal brackets (10% through 37%). Results include a status indicator showing whether the muni bond offers a strong or modest tax advantage at your bracket. All calculations run instantly in your browser without requiring an account.

Taxable Equivalent Yield Formula

The Core Equation

TEY = Tax-Free Yield ÷ (1 − Marginal Tax Rate)

The Tax Advantage Spread

Implied Tax Advantage = TEY − Tax-Free Yield

Tax-Free Yield— The stated annual coupon rate on the municipal bond. This is the amount you receive without owing any federal income tax.
Marginal Tax Rate— Your highest federal income tax bracket. The 2024-2025 brackets are 10%, 12%, 22%, 24%, 32%, 35%, and 37%.
Implied Advantage— The difference between the TEY and the muni yield. This is the "invisible yield boost" that the tax exemption provides. The higher your bracket, the larger this invisible boost.

Real-World Scenarios

✓ High Bracket (37%) — Strong Muni Advantage

Comparing a 4% muni against available corporate bonds

Muni Yield: 4.0% (tax-free)
Tax Rate: 37% federal
Denominator: 1 − 0.37 = 0.63
TEY: 4.0% ÷ 0.63 = 6.35%
Implied Advantage: +2.35% invisible yield boost

→ A corporate bond must yield over 6.35% just to match this 4% muni. At the 37% bracket, the tax shield makes even "low-yielding" munis extremely competitive.

✗ Low Bracket (12%) — Muni Loses

Same muni bond, different tax bracket

Muni Yield: 4.0% (tax-free)
Tax Rate: 12% federal
Denominator: 1 − 0.12 = 0.88
TEY: 4.0% ÷ 0.88 = 4.55%
Implied Advantage: +0.55% (very small)

→ The tax advantage is only 0.55%. With corporate bonds widely available at 5.5%+, the muni makes no mathematical sense at this bracket. Buy the higher-paying taxable bond and keep more cash.

TEY Multipliers by Federal Tax Bracket

Federal Bracket	Cash Retention (1 − Tax)	TEY Multiplier	TEY on a 4% Muni
10%	0.90	1.11x	4.44%
12%	0.88	1.14x	4.55%
22%	0.78	1.28x	5.13%
24%	0.76	1.32x	5.26%
32%	0.68	1.47x	5.88%
35%	0.65	1.54x	6.15%
37%	0.63	1.59x	6.35%

Pro Tips & Common Pitfalls

Do This

✓Add your State tax rate for the true picture. If you live in a high-tax state like NY or CA and buy an in-state muni bond, combine your Federal and State brackets for the full "Triple-Tax-Free" TEY. The advantage gets dramatically larger.
✓Only hold Munis in taxable brokerage accounts. NEVER put a tax-free municipal bond inside an IRA or 401(k). You are wasting the asset's primary mechanical feature — the tax exemption — since those accounts are already tax-advantaged.
✓Use this as a decision filter, not a recommendation. If the TEY is lower than available corporate yields at your bracket, skip the muni. If TEY is higher, the muni wins mathematically.

Avoid This

✗Don't fall for the Capital Gains trap. The TEY calculation applies strictly to the interest income. If you buy a muni at a deep discount to par and it matures or you sell for a profit, that price appreciation is a fully taxable capital gain.
✗Avoid Private Activity munis if you pay AMT. If you are subject to the Alternative Minimum Tax, interest from certain Private Activity municipal bonds (those funding stadiums, airports, or industrial projects) may be pulled back into taxable income, voiding the expected tax exemption.

Frequently Asked Questions

What does Taxable Equivalent Yield mean in simple terms?

Most bonds (like corporate or treasury bonds) pay interest that you must pay taxes on. Municipal bonds pay less interest, but it's tax-free. The Taxable Equivalent Yield simply calculates how high a taxable bond's interest rate would need to be to match the actual cash you take home from the tax-free Municipal bond.

Why do municipal bonds pay lower interest rates?

Because the interest is immune to federal taxes, high-income investors are willing to accept lower payments. A 4% tax-free yield is far more valuable to a millionaire in the 37% tax bracket than a 5% taxable yield. The bond market prices this tax exemption in automatically, causing muni yields to sit structurally lower than corporate yields.

Should I buy municipal bonds if I am in a low tax bracket?

Generally, no. If your marginal income tax bracket is low (such as 10% or 12%), the mathematical benefit of the tax exemption is weak. You will typically make more money after-tax by buying a higher-yielding U.S. Treasury or high-grade corporate bond and just paying the small amount of tax owed.

How is this different from the Tax-Equivalent Yield Calculator?

Both calculators use the same core TEY formula. This simplified version focuses exclusively on the Muni-to-Taxable conversion with quick-select tax bracket buttons for fast comparison. The full Tax-Equivalent Yield Calculator adds a bi-directional mode (also computing After-Tax Yield), separate Federal and State bracket inputs, and a more detailed tax optimization decision panel. Use this tool for quick checks and the full version for advanced analysis.

Taxable Equivalent Yield (TEY) Calculator

Taxable Equivalent Yield (TEY) Calculator

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