Calculate Taxable Equivalent Yield

Easily determine the yield a taxable investment would need to offer to match the return of a tax-free investment, like a municipal bond, after taxes.

Calculate Taxable Equivalent Yield

Taxable Equivalent Yield at Different Tax Rates

Combined Tax Rate (%)	Tax-Exempt Yield (%)	Taxable Equivalent Yield (%)

Table showing how the Taxable Equivalent Yield changes with different combined tax rates, based on the entered Tax-Exempt Yield.

What is Taxable Equivalent Yield?

The Taxable Equivalent Yield (TEY) is the pre-tax yield that a taxable bond or investment would need to offer to be equal to the yield of a tax-free municipal bond, after accounting for the investor’s tax rate. It’s a crucial metric for investors comparing tax-free investments (like municipal bonds) with taxable investments (like corporate bonds or CDs).

Essentially, the Taxable Equivalent Yield helps you make an apples-to-apples comparison between investments that are taxed differently. If you are in a high tax bracket, the tax savings from a municipal bond can be substantial, making its lower stated yield more attractive than a higher-yielding taxable bond once taxes are considered.

Investors in higher tax brackets typically benefit more from tax-free investments, and the Taxable Equivalent Yield calculation quantifies this benefit. Anyone considering municipal bonds or other tax-advantaged investments should calculate the Taxable Equivalent Yield to make informed decisions. A common misconception is that a lower yield always means a lower return, but the Taxable Equivalent Yield shows this isn’t true after taxes.

Taxable Equivalent Yield Formula and Mathematical Explanation

The formula for the Taxable Equivalent Yield depends on whether state income taxes are deductible on your federal return (this is often limited by the SALT deduction cap).

If state taxes ARE deductible:

Taxable Equivalent Yield = Tax-Exempt Yield / (1 - Federal Tax Rate - State Tax Rate * (1 - Federal Tax Rate))

If state taxes are NOT deductible (or no state tax):

Taxable Equivalent Yield = Tax-Exempt Yield / (1 - Federal Tax Rate - State Tax Rate)

In these formulas:

• Tax-Exempt Yield is the yield of the tax-free investment (as a decimal).
• Federal Tax Rate is your federal marginal tax rate (as a decimal).
• State Tax Rate is your state marginal tax rate (as a decimal).

The denominator represents the portion of income you get to keep after paying federal and effective state taxes. By dividing the tax-exempt yield by this factor, we find the pre-tax yield needed from a taxable investment to match it.

Variable	Meaning	Unit	Typical Range
Tax-Exempt Yield	Yield of the tax-free investment	% or decimal	0.5 – 7%
Federal Tax Rate	Federal marginal income tax rate	% or decimal	10 – 37%
State Tax Rate	State marginal income tax rate	% or decimal	0 – 13.3%

Variables used in the Taxable Equivalent Yield calculation.

Practical Examples (Real-World Use Cases)

Let’s look at how to calculate the Taxable Equivalent Yield in different scenarios.

Example 1: High Federal and State Tax, State Taxes Deductible

Suppose an investor is considering a municipal bond with a 3.5% tax-exempt yield. Their federal marginal tax rate is 32%, and their state tax rate is 8%. They can deduct state taxes.

• Tax-Exempt Yield = 3.5% (0.035)
• Federal Tax Rate = 32% (0.32)
• State Tax Rate = 8% (0.08)
• State Taxes Deductible = Yes

TEY = 0.035 / (1 – 0.32 – 0.08 * (1 – 0.32)) = 0.035 / (1 – 0.32 – 0.08 * 0.68) = 0.035 / (1 – 0.32 – 0.0544) = 0.035 / 0.6256 ≈ 0.0559 or 5.59%

This means a taxable investment would need to yield 5.59% to be equivalent to the 3.5% tax-free yield for this investor.

Example 2: Moderate Federal Tax, No State Tax

An investor in a state with no income tax is looking at a municipal bond yielding 2.8%. Their federal tax rate is 22%.

• Tax-Exempt Yield = 2.8% (0.028)
• Federal Tax Rate = 22% (0.22)
• State Tax Rate = 0% (0.00)

TEY = 0.028 / (1 – 0.22 – 0) = 0.028 / 0.78 ≈ 0.0359 or 3.59%

For this investor, a taxable investment needs to yield 3.59% to match the 2.8% tax-free yield. Understanding the Taxable Equivalent Yield is crucial for making smart investment choices, like those discussed in our tax-free investments guide.

How to Use This Taxable Equivalent Yield Calculator

Our Taxable Equivalent Yield calculator is simple to use:

1. Enter the Tax-Exempt Yield: Input the percentage yield of the tax-free investment you are considering.
2. Enter Your Federal Marginal Tax Rate: Input your highest federal income tax bracket percentage.
3. Enter Your State Marginal Tax Rate: Input your state income tax rate percentage. If you live in a state with no income tax, enter 0.
4. Indicate State Tax Deductibility: Select ‘Yes’ or ‘No’ based on whether you can deduct your state and local taxes on your federal return.
5. View Results: The calculator automatically updates the Taxable Equivalent Yield and other relevant figures.

The primary result shows the yield a taxable investment must have to match your tax-free option. Compare this to the yields of taxable investments you are considering. If a taxable bond offers a yield higher than the calculated Taxable Equivalent Yield, it might be a better option after taxes, and vice-versa. You might also find our municipal bond calculator helpful.

Key Factors That Affect Taxable Equivalent Yield Results

Several factors influence the Taxable Equivalent Yield and thus the attractiveness of tax-free investments:

• Your Federal Marginal Tax Rate: The higher your federal rate, the greater the benefit of tax-free income, and the higher the Taxable Equivalent Yield.
• Your State Marginal Tax Rate: A higher state tax rate also increases the Taxable Equivalent Yield, especially if the municipal bond is also state tax-free (for residents) and state taxes are not fully deductible federally.
• State Tax Deductibility (SALT Cap): If you cannot fully deduct state and local taxes (due to the SALT cap or other reasons), the benefit of state tax exemption increases, raising the Taxable Equivalent Yield.
• The Tax-Exempt Yield Itself: While the tax rates determine the *multiplier*, the starting tax-exempt yield is the base. A higher tax-exempt yield will naturally lead to a higher Taxable Equivalent Yield, all else being equal.
• Changes in Tax Laws: Future changes to federal or state tax rates or deductibility rules can alter the Taxable Equivalent Yield and the relative attractiveness of tax-free bonds.
• Alternative Minimum Tax (AMT): Some municipal bonds (private activity bonds) may be subject to AMT, which could reduce their tax advantage for certain investors, effectively lowering the benefit compared to the simple Taxable Equivalent Yield calculation.

It’s important to consider these factors when evaluating the Taxable Equivalent Yield. For a broader view, our after-tax yield guide offers more insights.

Frequently Asked Questions (FAQ)

What is the main purpose of calculating the Taxable Equivalent Yield?

It allows investors to compare the returns of tax-free investments (like municipal bonds) with taxable investments (like corporate bonds) on an equal footing, after considering the impact of taxes.

Does the Taxable Equivalent Yield apply to all tax-free investments?

It primarily applies to investments that generate tax-free interest income, such as municipal bonds. The income from these is often exempt from federal taxes and sometimes state and local taxes for residents.

How does my tax bracket affect the Taxable Equivalent Yield?

The higher your marginal tax bracket (federal and state combined), the more valuable the tax exemption becomes, and thus the higher the Taxable Equivalent Yield will be for a given tax-free yield.

Why is state tax deductibility important?

If you can deduct state taxes on your federal return, it slightly reduces the effective state tax rate, lowering the Taxable Equivalent Yield compared to a situation where state taxes are not deductible.

What if I don’t know my marginal tax rate?

You can estimate it based on your taxable income and the current tax brackets, or consult a tax advisor. Using an accurate marginal rate is key for a meaningful Taxable Equivalent Yield calculation. Our investment tax calculator might help.

Is the Taxable Equivalent Yield the only factor when comparing bonds?

No. You should also consider credit risk, maturity, liquidity, call features, and the bond’s yield to maturity. The Taxable Equivalent Yield focuses solely on the tax aspect.

What if the municipal bond is subject to AMT?

If the interest from a municipal bond (like some private activity bonds) is subject to the Alternative Minimum Tax (AMT), and you are subject to AMT, the actual after-tax benefit might be lower than what the simple Taxable Equivalent Yield suggests. This calculator does not factor in AMT.

Where can I find the tax-exempt yield of a bond?

You can find it from brokerage platforms, financial news websites, or by looking at the bond’s offering documents or current market quotes.