Lochmere Corporation is evaluating a taxable bond at 7% and a municipal bond at 5.75%. What is the break-even tax rate?
Question
Lochmere Corporation is evaluating a taxable bond at 7% and a municipal bond at 5.75%. What is the break-even tax rate?
Solution
To calculate the break-even tax rate, you need to compare the after-tax yield of the taxable bond to the yield of the municipal bond. The formula to calculate the after-tax yield of the taxable bond is:
After-tax yield = Pre-tax yield * (1 - Tax rate)
Given that the pre-tax yield of the taxable bond is 7%, and the yield of the municipal bond is 5.75%, you can set up the following equation to solve for the tax rate:
5.75% = 7% * (1 - Tax rate)
To isolate the tax rate, you can rearrange the equation as follows:
Tax rate = 1 - (5.75% / 7%)
Now, you can plug in the given values and solve for the tax rate:
Tax rate = 1 - (0.0575 / 0.07) = 1 - 0.8214 = 0.1786
So, the break-even tax rate is approximately 17.86%.
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