Math Problem Statement

What is the tax-exempt equivalent yield on a 6% bond yield given a marginal tax rate of 25%?

Solution

To find the tax-exempt equivalent yield of a bond, you can use the following formula:

Tax-Exempt Equivalent Yield=Taxable Yield×(1Tax Rate)\text{Tax-Exempt Equivalent Yield} = \text{Taxable Yield} \times (1 - \text{Tax Rate})

In this case:

  • The taxable bond yield is 6%, or 0.06.
  • The tax rate is 25%, or 0.25.

Plugging the values into the formula:

Tax-Exempt Equivalent Yield=0.06×(10.25)=0.06×0.75=0.045\text{Tax-Exempt Equivalent Yield} = 0.06 \times (1 - 0.25) = 0.06 \times 0.75 = 0.045

So, the tax-exempt equivalent yield is 4.5%.

This means a tax-free bond offering a 4.5% yield would be equivalent to a taxable bond yielding 6% for someone in the 25% tax bracket.

Would you like more details or have any questions?

Here are five related questions to explore further:

  1. What is the difference between taxable and tax-exempt bonds?
  2. How does the marginal tax rate impact investment decisions?
  3. What are municipal bonds, and why are they often tax-exempt?
  4. How do you calculate after-tax returns on various investments?
  5. What other factors should you consider when choosing between taxable and tax-exempt bonds?

Tip: When comparing bonds, always consider both the yield and the tax implications to understand the true return.

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Math Problem Analysis

Mathematical Concepts

Algebra
Percentage Calculation
Taxation in Finance

Formulas

Tax-Exempt Equivalent Yield = Taxable Yield × (1 - Tax Rate)

Theorems

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Suitable Grade Level

College Level or Advanced High School (Grades 11-12)