Tax Equivalent Yield Calculator
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How to use the tool
- Type your tax-free yield (%)
e.g., 3.10 or 5.80. The field accepts 0–100. - Enter your marginal tax rate (%)
e.g., 18 or 40. Use your highest federal bracket. - Press “Calculate” to view the Tax-Equivalent Yield instantly.
- Compare the TEY with quoted yields on taxable bonds to decide which pays more after taxes.
Underlying formula
$$ \text{TEY}=rac{\text{Tax-Free Yield}}{1-\text{Tax Rate}} $$ (Investopedia, 2024).
Example calculation 1
- Tax-free yield = 3.10 % ⇒ 0.0310
- Tax rate = 18 % ⇒ 0.18
- $$rac{0.0310}{1-0.18}=0.0378$$ ⇒ 3.78 %
Example calculation 2
- Tax-free yield = 5.00 % ⇒ 0.0500
- Tax rate = 40 % ⇒ 0.40
- $$rac{0.0500}{1-0.40}=0.0833$$ ⇒ 8.33 %
Quick-Facts
- Formula widely cited by bond analysts (Investopedia, 2024).
- Top U.S. federal bracket: 37 % (IRS, 2023).
- Average AA municipal bond yielded 3.45 % in Jan 2024 (Bloomberg Muni Index, 2024).
- “Interest on most municipal bonds is exempt from federal income tax” (SEC Investor Bulletin, 2023).
FAQ
What is Tax-Equivalent Yield?
Tax-Equivalent Yield is the pretax yield a taxable bond must pay to equal a tax-free bond’s after-tax return (Investopedia, 2024).
Why does my marginal tax rate matter?
Your marginal rate determines how much of a taxable bond’s interest you keep; higher brackets raise TEY (IRS, 2023).
Does the calculator include state taxes?
No. Add state and local rates to the tax input for a comprehensive TEY (SEC, 2023).
When should I recalculate TEY?
Recalculate after income changes, tax law updates, or when comparing new bonds (FINRA Bond Guide, 2023).
Is a higher TEY always better?
Higher TEY shows greater taxable-bond compensation, but also weigh credit risk and liquidity (MSRB, 2022).
How accurate is the formula?
It uses simple arithmetic; accuracy depends solely on correct inputs (Investopedia, 2024).
Can TEY turn negative?
No. A valid tax rate is 0–100 %; the denominator never reaches zero.
What if my tax rate is 0 %?
TEY equals the tax-free yield because no tax erodes taxable interest.
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