Question

A bond issued by the State of Pennsylvania provides a 5.75% yield. What yield on a Synthetic Chemical Company bond would cause the two bonds to provide the same after-tax rate of return to an investor in the 35.00% tax bracket

Answer 1

Answer: 8.85%

Explanation:

GIVEN THE FOLLOWING ;

Municipal bond yield = 5.75%

After-tax rate = 35%

In other to produce the same after tax rate, What should be the yield of the synthetic company bond;

Assume yield on synthetic company bond = SC yield ;

We can connect our assumption using the mathematical relation below;

Municipal bond yield = after tax bond yield

5.75% = SC yield (1 - tax rate)

5.75% = SC yield (1 - 35%)

5.75% = SC Yield × 65%

SC yield = (5.75/65)%

SC yield = 0.08846%

SC yield = 8.85%