Tax Equivalent Yield Calculator

Compare municipal bond yields with taxable corporate bond yields.

Status: Algorithmic Audit (CPA Review Pending)
Jurisdiction: United States (IRS & SSA Standards)
Tax Year / Constants: 2026 Statutory Limits
Data Privacy: 100% Client-Side In-Browser

The Mathematical Formula

Tax-Equivalent Yield (TEY) = Tax-Free Municipal Yield / [ 1 - (Federal Marginal Rate + State Marginal Rate × (1 - Federal Rate)) ]

Variable & Parameter Definitions

  • TEY The pre-tax taxable yield a corporate bond must pay to match a tax-exempt municipal bond.
  • Tax-Free Yield The stated nominal interest rate paid by the municipal bond.
  • Federal Marginal Rate The top statutory federal income tax bracket of the investor (e.g. 24%, 32%, 35%, or 37%).
  • State Marginal Rate State income tax bracket (if the municipal bond is issued within the investor home state).

Real-World Worked Scenario: Comparing Municipal vs Corporate Bond Yields

An investor in California is in the 35% federal tax bracket and 9.3% state bracket evaluating a 4.0% in-state tax-exempt municipal bond versus a 6.0% corporate bond.

  1. Combined Tax Rate: 35% + 9.3% × (1 - 0.35) = 35% + 6.04% = 41.04%.
  2. Tax-Equivalent Yield Calculation: 4.0% ÷ (1 - 0.4104) = 4.0% ÷ 0.5896 = 6.78%.
  3. Evaluation: The 4.0% tax-free municipal bond provides the exact after-tax take-home cash flow of a 6.78% taxable corporate bond.
  4. Decision: Because 6.78% exceeds the 6.0% corporate bond yield, the municipal bond provides superior net after-tax income.
Key Financial Takeaway: For high-earning households in upper tax brackets, municipal bonds frequently deliver higher net after-tax yields than corporate debt with lower credit default risk.

Strategic Insights & Pitfalls to Avoid

  • ✓ Private Activity Bonds: Check if the municipal bond is subject to the Alternative Minimum Tax (AMT).
  • ✓ Out-of-State Muni Bonds: Bonds from other states are exempt from federal tax but subject to your home state income tax.
  • ✓ Hold Muni Bonds in Taxable Accounts: Placing municipal bonds inside tax-deferred accounts (401k or IRA) wastes their tax-exempt advantage.

Frequently Asked Questions

Who benefits most from municipal bond tax-equivalent yield?

Investors in high federal (32%, 35%, 37%) and high state tax brackets gain the largest relative boost in net yield.

Are all municipal bonds 100% tax-free?

Most are exempt from federal tax. They are typically exempt from state tax only if you reside in the state of issuance.

What is the AMT exception on municipal bonds?

Interest on certain private activity municipal bonds may be subject to the federal Alternative Minimum Tax (AMT).

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