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Zorluk: OrtaGovernment, Municipal, and Corporate Bonds

An investor in a 32%32\% federal marginal income tax bracket is evaluating a tax-exempt municipal bond offering a yield of 4.76%4.76\%. What is the tax-equivalent yield (expressed as a percentage) that a fully taxable corporate bond would need to provide to match the after-tax yield of this municipal bond?

Cevap: 7 %

Cevap

The tax-equivalent yield required from a fully taxable corporate bond is 7.0%7.0\%.
The tax-equivalent yield formula calculates the yield a taxable corporate bond must earn to equal the after-tax yield of a tax-exempt municipal bond. Using the formula TEY=Municipal Yield1Marginal Tax Rate\text{TEY} = \frac{\text{Municipal Yield}}{1 - \text{Marginal Tax Rate}}, we divide 4.76%4.76\% by (10.32)=0.68(1 - 0.32) = 0.68, resulting in 7.00%7.00\%.

Adım Adım Çözüm

1
Determine the tax-free factor
10.32=0.681 - 0.32 = 0.68
The investor retains 68%68\% of earnings on taxable income after paying a 32%32\% marginal income tax rate.
2
Calculate the tax-equivalent yield
4.76%0.68=7.00%\frac{4.76\%}{0.68} = 7.00\%
Dividing the tax-exempt yield by the after-tax retention factor gives the equivalent yield required from a fully taxable security.

Anahtar Kavram

Tax-Equivalent Yield (TEY)
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