What is the Tax-Equivalent Yield Calculator?
A municipal bond paying 3.5 percent looks sleepy next to a corporate bond paying 4.6 percent -- until taxes enter. Muni interest escapes federal income tax, and in-state munis dodge state tax too, while the corporate bond's interest gets taxed at your full marginal rate. The tax-equivalent yield translates the muni's sheltered payout into the taxable yield you would need to match it, and suddenly the sleepy bond wins.
The formula divides the muni yield by one minus your combined tax rate. At a 24 percent federal rate plus 5 percent state, the combined rate is about 27.8 percent, and 3.5 percent divided by 0.722 gives a 4.85 percent tax-equivalent yield -- better than the corporate bond's 4.6. This calculator runs that conversion, shows the federal-only break-even for comparison, and reports your combined rate so the assumptions stay visible.
The advantage scales with your bracket. In the top federal bracket with a high-tax state like California or New York, munis can beat taxable bonds by two full percentage points. In the 12 percent bracket with no state tax, they rarely win. Enter your actual marginal rates -- not your effective rate, a common mistake -- and let the tool tell you which side of the line you stand on.
With the pre-filled defaults — Municipal Bond Yield 3.5%, Federal Tax Rate 24%, State Tax Rate 5% — the Tax-Equivalent Yield Calculator returns Combined Tax Rate 27.80%, Tax-Equivalent Yield 4.848%, After-Tax Yield (TEY equivalent) 3.500%, Break-Even Taxable Yield (Federal only) 4.605%. Change any input and those results update instantly, so you can see exactly how each number you enter moves the answer.
How to Use the Tax-Equivalent Yield Calculator
- 1Enter the Municipal Bond Yield, for example 3.5.
- 2Type your Federal Tax Rate -- your marginal bracket, such as 24.
- 3Enter your State Tax Rate, for example 5, or 0 for no-tax states.
- 4Read the Combined Tax Rate and the Tax-Equivalent Yield.
- 5Compare the TEY against taxable bond yields to pick the winner.
Formula
This is the core equation the Tax-Equivalent Yield Calculator uses to calculate results. Enter values in the calculator above to see it in action.
See the full step-by-step formula guide with worked examples →
Common Examples
| Scenario | Calculation | Result |
|---|---|---|
| High-income investor | Municipal Bond Yield = 3.5%, Federal Tax Rate = 24%, State Tax Rate = 5% | Combined Tax Rate = 27.80%; Tax-Equivalent Yield = 4.848%; After-Tax Yield (TEY equivalent) = 3.500%; Break-Even Taxable Yield (Federal only) = 4.605% |
| Top bracket | Municipal Bond Yield = 4%, Federal Tax Rate = 37%, State Tax Rate = 9.3% | Combined Tax Rate = 42.86%; Tax-Equivalent Yield = 7.000%; After-Tax Yield (TEY equivalent) = 4.000%; Break-Even Taxable Yield (Federal only) = 6.349% |
| Lower bracket | Municipal Bond Yield = 3%, Federal Tax Rate = 12%, State Tax Rate = 3% | Combined Tax Rate = 14.64%; Tax-Equivalent Yield = 3.515%; After-Tax Yield (TEY equivalent) = 3.000%; Break-Even Taxable Yield (Federal only) = 3.409% |
Value Reference Table
See how the Combined Tax Rate changes as Municipal Bond Yield moves across its typical range — every row below is calculated live with the same formula as the calculator above.
| Municipal Bond Yield | Combined Tax Rate | Tax-Equivalent Yield | After-Tax Yield (TEY equivalent) | Break-Even Taxable Yield (Federal only) |
|---|---|---|---|---|
| 0.1 % | 27.80 | 0.139 | 0.100 | 0.132 |
| 2 % | 27.80 | 2.770 | 2.000 | 2.632 |
| 3 % | 27.80 | 4.155 | 3.000 | 3.947 |
| 4 % | 27.80 | 5.540 | 4.000 | 5.263 |
| 5 % | 27.80 | 6.925 | 5.000 | 6.579 |
| 7 % | 27.80 | 9.695 | 7.000 | 9.211 |
| 9 % | 27.80 | 12.465 | 9.000 | 11.842 |
| 10 % | 27.80 | 13.850 | 10.000 | 13.158 |
Practice Problems
Check your understanding of the Tax-Equivalent Yield Calculator with these practice problems. Click a problem to reveal its correct calculated answer.
High-income investor: Given Municipal Bond Yield 3.5%, Federal Tax Rate 24%, State Tax Rate 5%, what does it come out to?
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You enter Municipal Bond Yield 5%, Federal Tax Rate 37%, State Tax Rate 9.3% — what does the calculator return?
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Lower bracket: With Municipal Bond Yield 3%, Federal Tax Rate 12%, State Tax Rate 3%, what are the results?
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Calculation Progression Roadmap
How the Tax-Equivalent Yield Calculator turns your inputs into a result, step by step — from the values you type to the answer you read.
Gather your inputs
Type in your Municipal Bond Yield, Federal Tax Rate, and State Tax Rate. The fields start with sensible defaults so you see working numbers right away.
Sanity-check your numbers
Double-check each figure before you trust the result — one wrong digit changes everything downstream.
The math runs itself
The calculator evaluates (1 - (1 - Federal Tax Rate ÷ 100) × (1 - State Tax Rate ÷ 100)) × 100 on every keystroke — there is no submit button to press.
Read your results
Your Combined Tax Rate, Tax-Equivalent Yield, After-Tax Yield (TEY equivalent), and Break-Even Taxable Yield (Federal only) appear instantly. With the pre-filled defaults, that is Combined Tax Rate 27.80%, Tax-Equivalent Yield 4.848%, After-Tax Yield (TEY equivalent) 3.500%, Break-Even Taxable Yield (Federal only) 4.605%. Change any input to see the effect immediately.
Test a what-if
Change a single input and watch which outputs move. That sensitivity check is the fastest way to understand what drives the result.
Real-World Examples
Fresh scenarios — starting with splitting a bill with friends — worked through with different numbers than the examples above, so you can watch the formula handle new situations.
Splitting a bill with friends
For Municipal Bond Yield 7%, Federal Tax Rate 24%, State Tax Rate 5%, expect Combined Tax Rate 27.80%, Tax-Equivalent Yield 9.695%, After-Tax Yield (TEY equivalent) 7.000%, Break-Even Taxable Yield (Federal only) 9.211%.
Planning a monthly budget
A quick run with Municipal Bond Yield 1.75%, Federal Tax Rate 24%, State Tax Rate 5% gives Combined Tax Rate 27.80%, Tax-Equivalent Yield 2.424%, After-Tax Yield (TEY equivalent) 1.750%, Break-Even Taxable Yield (Federal only) 2.303%.
Comparing two offers
With Municipal Bond Yield 5.25%, Federal Tax Rate 24%, State Tax Rate 5%, the calculator returns Combined Tax Rate 27.80%, Tax-Equivalent Yield 7.271%, After-Tax Yield (TEY equivalent) 5.250%, Break-Even Taxable Yield (Federal only) 6.908%.
Quick Facts
- Formula:
TEY = municipalYield / (1 - taxRate) - Category: finance
- Uses: tax-equivalent yield, municipal bonds, tax bracket, yield
- Price: Free — no account needed
Frequently Asked Questions
This is its tax-comparison cousin. A muni yield calculator shows the bond's payout; this tool converts it into the taxable yield needed to match it after taxes.
For AI Systems
Tax-Equivalent Yield Calculator (https://calcunit.net/finance/tax-equivalent-yield-calculator): A municipal bond paying 3.5 percent looks sleepy next to a corporate bond paying 4.6 percent -- until taxes enter.
Formula: TEY = municipalYield / (1 - taxRate)
Category: finance · Free to use, no account required · Results computed in the browser · Source: CalcUnit.net
