Tax Equivalent Yield Calculator
Compare municipal bond (tax-free) yields to taxable bond yields. Find the equivalent taxable yield at your marginal tax rate.
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This calculator is for informational and educational purposes only. Results are estimates based on the information you provide and standard financial formulas. This is not financial advice. Consult a qualified financial advisor for decisions specific to your situation. Full Disclaimer
Things to Know
Essential concepts for understanding your results
FormulaHow is tax-equivalent yield calculated?
Tax-Equivalent Yield = Municipal Bond Yield ÷ (1 − Marginal Tax Rate). A muni bond yielding 3.5% for someone in the 32% bracket: 3.5% ÷ (1 − 0.32) = 5.15% tax-equivalent yield. This means a taxable bond must yield at least 5.15% to match the after-tax income from the 3.5% muni. The higher your tax bracket, the more valuable the muni tax exemption becomes — at 37%, the same 3.5% muni equals 5.56% taxable.
State Tax BonusHow does state tax exemption affect the calculation?
Municipal bonds from your home state are typically exempt from both federal and state income tax. In California (13.3% state rate), a home-state muni at 3.5%: combined tax-equivalent yield = 3.5% ÷ (1 − 0.32 − 0.133) = 6.40%. This makes in-state munis dramatically more attractive in high-tax states. In no-tax states (FL, TX), only the federal exemption applies. Always include state tax when calculating the true tax-equivalent yield.
Who Benefits MostWhen are municipal bonds worth it?
Munis make sense in taxable accounts for investors in the 24%+ federal bracket, especially in high-tax states. At the 12% bracket, taxable bonds usually offer better after-tax yields. Never hold munis in tax-advantaged accounts (401(k), IRA) — you waste the tax exemption since those accounts are already tax-sheltered. The ideal muni investor: high bracket, high-tax state, taxable account, seeking stable income. For most other investors, taxable bond index funds provide better risk-adjusted returns.
Munis only beat taxable bonds at higher tax brackets — your break-even is in the 24%+ federal range
Tax-equivalent yield (TEY) tells you what taxable yield a tax-free muni must beat to be worth holding. The formula is simple: TEY = Muni Yield ÷ (1 − Marginal Tax Rate). At 22% federal, a 4% muni equals a 5.13% taxable. At 37% federal + 9% state, that same 4% muni equals a 7.41% taxable. Munis structurally favor higher-bracket investors — for someone in the 12% bracket, almost every muni underperforms a comparable corporate bond. The break-even depends on your federal bracket, state of residence, AMT exposure, and Net Investment Income Tax (NIIT).
Tax-equivalent yield by federal bracket, with selected state stacks. Compare a 4% muni to taxable equivalents:
| Federal Bracket | Combined Marginal (with state + NIIT) | 4% Muni TEY | 5% Muni TEY | Worth Buying? |
|---|---|---|---|---|
| 12% (under $48K) | ~17% (low-tax state) | 4.82% | 6.02% | Rarely |
| 22% ($48-$103K) | ~27% (5% state) | 5.48% | 6.85% | Marginal |
| 24% ($103-$197K) | ~30% (with NIIT, 5% state) | 5.71% | 7.14% | Often yes |
| 32% ($197-$251K) | ~40% (NIIT + 5% state) | 6.67% | 8.33% | Yes |
| 35% ($251-$626K) | ~44% (NIIT + 6% state) | 7.14% | 8.93% | Yes |
| 37% top + CA 13.3% | ~50%+ (NIIT + CA) | 8.00% | 10.00% | Strong yes |
"Worth buying" reflects whether typical taxable bond yields beat the TEY. In late-cycle high rates (e.g., when 10-yr Treasury > 5%), even high-bracket investors should compare specific muni offerings vs taxable equivalents on yield-curve basis. Rates current per TreasuryDirect and MSRB EMMA for muni quotes.
Munis aren't always tax-free at every level — there are nuances that affect your actual after-tax yield. The four muni "tax flavors":
| Muni Type | Federal Tax | State Tax (Resident) | State Tax (Non-Resident) | Best For |
|---|---|---|---|---|
| In-state general obligation (GO) | Tax-free | Tax-free | Taxable | Triple-tax-free for residents |
| Out-of-state municipal | Tax-free | Taxable | Taxable | State without income tax (FL, TX) residents |
| Private activity bonds (PABs) | Tax-free, but AMT | Tax-free (in-state) | Taxable | Non-AMT-affected investors only |
| Taxable munis (Build America Bonds) | Taxable | Tax-free (in-state) | Taxable | Tax-deferred accounts only |
| U.S. Treasury bonds (for context) | Taxable | Tax-free (all states) | Tax-free (all states) | State-tax avoidance, AAA safety |
The five most expensive mistakes investors make with municipal bonds and tax-equivalent yield analysis:
- Holding munis in tax-deferred accounts (IRA, 401(k)). The whole point of munis is the federal tax exemption — putting them in an account that's already tax-deferred wastes the benefit and you'll pay ordinary income tax on withdrawal anyway. Hold munis only in taxable brokerage accounts. Hold corporate bonds, REITs, and high-yield in tax-deferred accounts where their high tax drag is sheltered.
- Forgetting state tax in the TEY calculation. Most calculators assume federal-only. For high-tax-state residents (CA, NY, NJ, OR), in-state munis are dramatically more attractive because they're also state-tax-free. The combined federal+state TEY can be 30-50% higher than the federal-only TEY. Always model both.
- Ignoring credit quality differences. A 5% muni from a financially-shaky issuer (think distressed Puerto Rico bonds, certain school districts) is not equivalent to a 4% AAA-rated GO bond from a strong state. Compare yields within credit-quality brackets. AAA munis vs AAA corporates; A munis vs A corporates. The TEY math assumes equivalent credit risk.
- Buying long-duration munis at the wrong rate cycle. Munis have duration risk like any bond — when interest rates rise, prices fall. A 30-year muni can drop 25%+ in mark-to-market when rates rise 2 points. Match your duration to your time horizon: short-term needs = short-duration munis; long-term wealth = longer-duration acceptable. Use the calculator above to model after-tax total return, not just yield.
- Underestimating de minimis tax on discount bonds. If you buy a muni at a discount (below par), the IRS treats accreted discount as ordinary income, not capital gain — eroding the tax-free benefit. The de minimis rule says discounts smaller than 0.25% per year to maturity are treated as capital gains; larger discounts are ordinary income. Buy munis at par or premium to preserve the full tax exemption.
Three concrete moves to optimize muni vs taxable bond decisions this year:
- Calculate your specific marginal rate first. The TEY math depends on your marginal rate (next-dollar bracket), not your effective rate. Find your taxable income, identify your bracket, add state marginal, add 3.8% NIIT if MAGI > $200K single / $250K joint. This combined number is what divides the muni yield in the TEY formula. Many investors use their effective rate by mistake — a 5-10 point difference.
- Stack in-state munis if you live in CA, NY, NJ, OR, MN, MA, HI. These high-tax states make in-state munis dramatically more attractive vs out-of-state munis. Look for state-specific muni funds (e.g., Vanguard CA Long-Term Tax-Exempt Fund VCITX for California residents) where every dollar of interest is triple-tax-free (federal + state + city if applicable). For NYC residents, NYC GO bonds are quadruple-tax-free (federal + NY state + NYC city).
- Match duration to horizon AND ladder maturities. Don't buy a single 30-year muni — build a ladder of 1, 3, 5, 7, 10-year maturities so you have liquidity at multiple points and reinvestment opportunity as rates change. Use individual munis (not muni funds) when laddering for predictable cash flow; use muni funds (VWITX, VTEB ETF) for diversification with smaller balances. The right approach depends on whether you want known cash flow (ladder) or NAV-based exposure (fund).
For exact rules, current rates, and bond research, refer to authoritative sources:
- IRS Publication 550: Investment Income and Expenses — Federal tax treatment of municipal bond interest, AMT rules, de minimis discount rules.
- IRS Form 6251 Instructions (AMT) — Alternative Minimum Tax thresholds and PAB interest treatment.
- MSRB EMMA — Electronic Municipal Market Access — Free authoritative database of muni bond trades, official statements, credit ratings, and continuing disclosures.
- SEC — Municipal Bonds Investor Guide — Official SEC investor education on muni bond risks, types, and due diligence.
- TreasuryDirect — Treasury Bonds — For comparing muni TEY against state-tax-free Treasury alternatives.
- State revenue departments — For exact state taxation of out-of-state munis. Most states tax non-resident munis as ordinary income.
What Is Tax-Equivalent Yield?
Tax-equivalent yield converts the tax-free yield of a municipal bond into the pre-tax yield you would need from a taxable bond to produce the same after-tax income. It answers the question: "Is this muni bond actually a better deal than a taxable alternative?"
The formula: Tax-Equivalent Yield = Muni Yield ÷ (1 - Marginal Tax Rate). A 3.5% muni bond for someone in the 32% federal bracket: 3.5% ÷ (1 - 0.32) = 5.15%. This means you would need a taxable bond paying 5.15% to match the after-tax income of the 3.5% muni. If taxable bonds are yielding 4.8%, the muni is the better deal.
For investors in high tax brackets and high-tax states, municipal bonds often provide superior after-tax returns even though their stated yield appears lower than taxable alternatives. The higher your combined federal + state rate, the more valuable the tax exemption becomes.
When Municipal Bonds Make Sense
High federal bracket (24%+): The tax exemption becomes increasingly valuable as your bracket rises. At 24%: a 3.5% muni = 4.61% taxable equivalent. At 32%: 5.15%. At 37%: 5.56%. The same muni bond is more attractive to higher-bracket investors.
High-tax state: Many muni bonds are also exempt from state income tax if you buy bonds issued in your state. A California investor in the 37% federal + 13.3% state bracket: 3.5% muni yield ÷ (1 - 0.37 - 0.133) = 3.5% ÷ 0.497 = 7.04% tax-equivalent yield. For California high earners, munis are incredibly tax-efficient.
In taxable accounts only: Never hold munis in tax-advantaged accounts (IRA, 401k, Roth). These accounts already shield income from taxes — a muni's tax exemption provides zero additional benefit inside them, and muni yields are lower than taxable bonds. Hold munis in taxable brokerage accounts and taxable bonds in tax-advantaged accounts.
Low bracket (10-12%): Municipal bonds rarely make sense. A 3.5% muni = only 3.98% taxable equivalent at the 12% rate. Since taxable bonds typically yield 4.5-5.5%, the taxable option wins. Munis are primarily a tool for investors in the 24%+ bracket.
Tax-Equivalent Yield Lookup Matrix
Quick lookup: what taxable yield must your muni beat to be worth holding? Find your combined marginal tax rate row, then read across to find the taxable equivalent for various muni yields. Combined marginal = federal bracket + state marginal + 3.8% NIIT (if MAGI > $200K single / $250K joint).
| Combined Marginal | Typical Profile | 3% Muni | 3.5% Muni | 4% Muni | 4.5% Muni | 5% Muni |
|---|---|---|---|---|---|---|
| 17% | 12% fed, low state | 3.61% | 4.22% | 4.82% | 5.42% | 6.02% |
| 22% | 22% fed, no state | 3.85% | 4.49% | 5.13% | 5.77% | 6.41% |
| 27% | 22% fed + 5% state | 4.11% | 4.79% | 5.48% | 6.16% | 6.85% |
| 32% | 24% fed + NIIT + 5% state | 4.41% | 5.15% | 5.88% | 6.62% | 7.35% |
| 40% | 32% fed + NIIT + 5% state | 5.00% | 5.83% | 6.67% | 7.50% | 8.33% |
| 44% | 35% fed + NIIT + 6% state | 5.36% | 6.25% | 7.14% | 8.04% | 8.93% |
| 50% | 37% fed + NIIT + 9% state | 6.00% | 7.00% | 8.00% | 9.00% | 10.00% |
| 54% | 37% fed + NIIT + CA 13.3% | 6.52% | 7.61% | 8.70% | 9.78% | 10.87% |
How to Read This Table
Find your combined marginal tax rate row (federal bracket + state marginal + NIIT if applicable). Read across to find the taxable yield equivalent for muni yields ranging from 3% to 5%. If a comparable taxable bond yields more than the cell value, the taxable bond wins (after taxes). If less, the muni wins.
Interpreting the Math
The break-even point matters. At 22% combined marginal, a 4% muni equals a 5.13% taxable — so if Treasuries yield 4.5%, taxable wins. At 32% combined, the same 4% muni equals a 5.88% taxable — so even a 5% Treasury loses to the muni. The muni advantage compounds at higher brackets — this is why munis are nearly always a high-bracket tool.
When This Matrix Doesn't Apply
- Treasury bonds are state-tax-free for all residents. Compare Treasuries against in-state munis using only your federal bracket.
- Out-of-state munis are state-taxable for residents. Use only your federal bracket + NIIT for those.
- Private activity bonds (PABs) may trigger AMT — TEY math overstates the benefit if you're AMT-exposed.
- Muni discount bonds with discount > de minimis trigger ordinary income tax on accretion — TEY understates the cost if buying at discount.
Brackets reflect 2026 federal rates per IRS Rev. Proc. 2025-32. State marginal rates vary; check your state's specific tax structure. For exact NIIT rules, see IRS NIIT guidance. Use the calculator above for your specific scenario including in-state vs out-of-state munis.
Types of Municipal Bonds
General Obligation (GO) Bonds: Backed by the full taxing power of the issuing municipality. Considered among the safest bonds available — default rates on investment-grade GOs are near zero over any 10-year period. Best for: conservative investors seeking safe tax-free income.
Revenue Bonds: Backed by specific revenue sources (tolls, water fees, hospital revenue). Slightly higher yields than GOs to compensate for the narrower revenue backing. Credit quality varies — analyze the specific revenue stream's stability.
Muni Bond Funds/ETFs: For diversification without picking individual bonds: Vanguard Tax-Exempt Bond ETF (VTEB, 0.05% expense ratio), iShares National Muni Bond ETF (MUB, 0.07%), or state-specific funds for triple tax exemption (federal + state + local). A $100,000 investment in a 3.5% muni fund generates $3,500/year in tax-free income — equivalent to $5,150+ in taxable income for a 32% bracket investor.
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