Question

Difficulty: Very hardGovernment, Municipal, and Corporate Bonds

An investor residing in California is subject to a 35%35\% federal marginal income tax rate and an 8%8\% state marginal income tax rate. The investor is comparing two fixed-income instruments with identical credit ratings and maturities: an out-of-state municipal general obligation bond yielding 4.20%4.20\% and an in-state corporate debenture yielding 6.50%6.50\%. Assuming no federal tax deductibility for state taxes, which of the following correctly compares the after-tax yields of these two investments for the investor?

  1. The out-of-state municipal bond provides a higher after-tax yield of 3.864%3.864\%, compared to 3.705%3.705\% for the corporate debenture.Answer
  2. B
    The out-of-state municipal bond provides a higher after-tax yield of 4.200%4.200\%, because municipal bond interest is exempt from both federal and state taxes regardless of the issuer's location.
  3. C
    The corporate debenture provides a higher after-tax yield of 4.225%4.225\%, because corporate bond interest is subject only to federal income tax.
  4. D
    The corporate debenture provides a higher after-tax yield of 3.705%3.705\%, compared to 2.730%2.730\% for the out-of-state municipal bond.

Answer

The out-of-state municipal bond provides a higher after-tax yield of 3.864%3.864\%, compared to 3.705%3.705\% for the corporate debenture.
Interest earned on municipal bonds is exempt from federal income tax. However, out-of-state municipal bonds are subject to state income taxation in the investor's home state. Multiplying the 4.20%4.20\% yield by (10.08)(1 - 0.08) yields an after-tax return of 3.864%3.864\%. Corporate bonds are subject to both federal and state income taxes. Multiplying the 6.50%6.50\% coupon by (1(0.35+0.08))(1 - (0.35 + 0.08)) results in an after-tax return of 3.705%3.705\%. Thus, the out-of-state municipal bond yields more after taxes.

Step-by-Step Solution

1
Calculate the after-tax yield of the out-of-state municipal bond.
After-tax yield = 4.20%×(10.08)=3.864%4.20\% \times (1 - 0.08) = 3.864\%.
Municipal bond interest is federally tax-exempt. However, because it is issued by an out-of-state entity, it is subject to the investor's state income tax of 8%8\%.
2
Calculate the combined tax rate and after-tax yield of the corporate debenture.
Combined tax rate = 35%+8%=43%35\% + 8\% = 43\%. After-tax yield = 6.50%×(10.43)=3.705%6.50\% \times (1 - 0.43) = 3.705\%.
Corporate bond interest is fully taxable at both the federal (35%35\%) and state (8%8\%) levels.
3
Compare the after-tax yields of both instruments.
The out-of-state municipal bond (3.864%3.864\%) yields more after taxes than the corporate debenture (3.705%3.705\%).
Comparing 3.864%3.864\% to 3.705%3.705\% demonstrates that the out-of-state municipal bond offers a higher net yield.

Key Concept

Tax Treatment of Municipal vs. Corporate Bonds
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