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Multiple Choice
A firm's after-tax cost of debt will increase if there is a(n):
A
increase in the market interest rate
B
increase in the firm's tax shield
C
decrease in the firm's marginal tax rate
D
decrease in the coupon rate on existing debt
Verified step by step guidance
1
Understand the concept of after-tax cost of debt: The after-tax cost of debt is the effective cost a firm incurs for its debt after accounting for the tax benefits of interest payments. It is calculated as: \( \text{After-tax cost of debt} = \text{Interest rate} \times (1 - \text{Tax rate}) \).
Analyze the impact of an increase in the market interest rate: If the market interest rate increases, the firm may need to issue new debt at higher interest rates, raising the cost of debt. This directly increases the after-tax cost of debt.
Evaluate the effect of an increase in the firm's tax shield: A tax shield refers to the reduction in taxable income due to deductible expenses like interest payments. An increase in the tax shield does not increase the after-tax cost of debt; instead, it reduces the effective cost of debt.
Consider the impact of a decrease in the firm's marginal tax rate: A lower marginal tax rate reduces the tax benefit of interest payments, leading to a higher after-tax cost of debt. This is because the \( (1 - \text{Tax rate}) \) factor in the formula increases.
Assess the effect of a decrease in the coupon rate on existing debt: A lower coupon rate on existing debt does not increase the after-tax cost of debt. It reduces the interest expense, which lowers the cost of debt overall.