Explanation
When interest expense is not tax deductible, the tax shield benefit of debt financing is eliminated. The Weighted Average Cost of Capital (WACC) formula is:
WACC=VE×re+VD×rd×(1−T)
Where:
- E/V = proportion of equity in capital structure
- re = cost of equity
- D/V = proportion of debt in capital structure
- rd = cost of debt
- T = marginal tax rate
Key insight: When interest expense is not tax deductible, the term (1−T) becomes irrelevant because there is no tax shield. The after-tax cost of debt is simply rd (not rd×(1−T)).
Therefore, the WACC formula simplifies to:
WACC=VE×re+VD×rd
Since the tax rate T does not appear in this simplified formula, changes in the marginal tax rate have no effect on WACC when interest expense is not tax deductible.
Why other options are incorrect:
- A (decreases): This would be true if interest expense were tax deductible, as higher tax rates increase the tax shield benefit, reducing the after-tax cost of debt.
- C (increases): There's no mechanism for WACC to increase with tax rates when interest is not deductible, as the tax rate doesn't affect the calculation.
Conclusion: With no tax deductibility of interest, WACC remains unchanged regardless of changes in the marginal tax rate.