2026 Securities Licensing Study Guides (SIE, Series 7 & Series 66) are now live
Micro-Topic Drill 02
Series 7 Tax-Equivalent Yield (TEY): Formula, Calculator & Practice Questions
A deep dive into municipal vs. corporate bond yield comparisons. Learn how to calculate Tax-Equivalent Yield (TEY), Tax-Free Equivalent Yield (TFEY), in-state triple tax exemptions, and how to instantly answer Series 7 suitability questions comparing taxable and tax-exempt yields.
Compare municipal tax-exempt yields against taxable corporate bonds in real time using the exact FINRA formula.
Add state tax only if the municipal bond is issued IN-STATE (Triple Tax-Exempt).
Tax-Equivalent Yield (TEY)
6.62%
A corporate taxable bond must pay at least 6.62% to provide the same after-tax cash return as your 4.50% municipal bond.
Muni Tax-Free Yield4.50%
Required Corporate Yield (TEY)6.62%
Corporate (7.00%) After-Tax Yield4.76%
✓ Corporate Bond Wins
The 7.00% corporate bond yields 4.76% after tax, exceeding the 4.50% municipal yield.
Deconfusion Matrix
Core Differences & FINRA Exam Traps
Strategy / Concept
Definition & Structure
Golden Rule
FINRA Exam Trap
Tax-Equivalent Yield (TEY)
The pretax yield a taxable bond (corporate) must offer to equal the tax-free yield of a municipal bond
TEY = Municipal Yield ÷ (1 - Marginal Tax Rate)
Candidates multiply instead of dividing, arriving at an impossibly low yield.
Tax-Free Equivalent Yield (TFEY)
The after-tax yield of a corporate bond compared against a tax-free municipal yield
TFEY = Corporate Yield × (1 - Marginal Tax Rate)
Confusing which bond type goes in the numerator or gets multiplied.
In-State vs. Out-of-State Municipal Bonds
Municipal bonds issued by the investor's home state/city vs another state
In-state: Exempt from Federal, State, and Local taxes ('Triple Tax-Exempt'). Out-of-state: Exempt from Federal, but subject to State and Local taxes!
Assuming all municipal bonds are completely state tax-exempt. They are ONLY state tax-free if the investor resides in the issuing state (or US territories like Puerto Rico, Guam, US Virgin Islands)!
Municipal Bonds in Retirement Accounts
Placing tax-free municipal bonds inside an IRA, 401(k), or other tax-sheltered account
NEVER SUITABLE. The account is already tax-deferred; buying munis sacrifices higher corporate/Treasury yield for a useless tax exemption.
Selecting a municipal bond for an IRA because the question says 'the client wants tax advantages'. This is a standard FINRA trap.
Step-by-Step Logic
Calculation Formulas & Worked Examples
Standard Federal Tax-Equivalent Yield
TEY = Municipal Yield ÷ (1 - Federal Tax Bracket)
Dividing by (1 - Tax Bracket) grosses up the municipal yield to show the taxable corporate coupon required to match it.
Example: A client in the 35% federal tax bracket considers a 5.2% municipal bond. TEY = 5.2% ÷ (1 - 0.35) = 5.2% ÷ 0.65 = 8.00%.
Double / Triple Tax-Exempt Combined TEY
Combined TEY = Municipal Yield ÷ [1 - (Federal Tax % + State Tax %)]
If the municipal bond is issued in the investor's home state, add federal and state tax brackets before subtracting from 1.
Example: Client in 32% Federal bracket and 6% State bracket considers a 4.5% in-state bond. TEY = 4.5% ÷ [1 - (0.32 + 0.06)] = 4.5% ÷ 0.62 = 7.26%.
Tax-Equivalent Yield Comparison in Top Federal Bracket
A corporate executive in the 37% marginal federal tax bracket has $100,000 to invest in fixed income. She is comparing a high-grade municipal bond yielding 4.50% with an investment-grade corporate bond yielding 6.80%. Which bond provides the higher after-tax return, and what is the municipal bond's Tax-Equivalent Yield (TEY)?
Municipal Bond Unsuitability in Tax-Advantaged Retirement Accounts
A client instructs his registered representative to purchase $50,000 of AAA-rated general obligation municipal bonds inside his Traditional IRA to 'generate tax-free income'. How should the representative respond?
Tax-Equivalent Yield (TEY) Calculation in 32% Marginal Bracket
An investor subject to a 32% federal marginal income tax rate is evaluating a 5.10% tax-exempt municipal bond. What is the equivalent corporate taxable yield?
In-State vs. Out-of-State Municipal Bond Tax Rules
A resident of California purchases a municipal bond issued by the City of Dallas, Texas. How is the interest income received on this bond treated for tax purposes?
Municipal Bond Confirmation: Yield to Worst (YTW) Rule for Premium Bonds
A registered representative sells a 5% municipal bond maturing in 20 years to a customer at a price of 106 (a premium). The bond is callable in 5 years at par ($1,000). Under MSRB confirmation rules, which yield MUST be printed on the confirmation as the quoted yield?
Original Issue Discount (OID) Accretion and Tax Treatment
An investor buys a newly issued municipal bond at an Original Issue Discount (OID) for $800 with a 10-year maturity. If the investor holds the bond to maturity, what are the federal tax consequences of the $200 discount?