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A municipal bond has a coupon rate of 5.92 percent and a YTM of 5.59 percent. If an investor has a marginal tax rate of 39 percent, what is the equivalent pretax yield on a taxable bond? a a. \( 6.39 \% \) ob. \( 3.41 \% \) o c. \( 9.70 \% \) d. \( 3.61 \% \) e. \( 9.16 \% \)

Ask by Bird Bond. in the United States
Feb 26,2025

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Answer

The equivalent pretax yield on a taxable bond is approximately 9.16%, which is option (e).

Solution

To calculate the equivalent pretax yield on a taxable bond, you need to adjust the taxable yield so that after paying taxes, the investor earns the same yield as the tax‐exempt municipal bond. The formula to convert the municipal yield to a taxable equivalent yield is:   Taxable Equivalent Yield = Municipal Bond Yield / (1 - Tax Rate) Given:  • Municipal Bond Yield (YTM) = 5.59%  • Marginal Tax Rate = 39% or 0.39 Plug the values into the formula:   Taxable Equivalent Yield = 5.59% / (1 - 0.39)   Taxable Equivalent Yield = 5.59% / 0.61   Taxable Equivalent Yield ≈ 9.16% Thus, the equivalent pretax yield on a taxable bond is approximately 9.16%, which corresponds to option (e).

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To find the equivalent pretax yield on a taxable bond, we can use the formula for converting the tax-exempt yield of a municipal bond to a taxable equivalent yield: \[ \text{Taxable Equivalent Yield} = \frac{\text{Municipal Bond Yield}}{1 - \text{Tax Rate}} \] In this case, using the coupon rate of 5.92% and a marginal tax rate of 39%, we have: \[ \text{Taxable Equivalent Yield} = \frac{5.92\%}{1 - 0.39} = \frac{5.92\%}{0.61} \approx 9.70\% \] So, the answer is (c) 9.70%. A little bonus: Municipal bonds, often issued by cities or states, are a great tax-saving investment option, especially for those in higher tax brackets. They allow investors to sidestep taxes on interest earned, which means your money can grow a bit more efficiently. Additionally, don’t forget to consider liquidity, credit ratings, and duration when investing in municipal bonds—they can change the risk and return dynamics!

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