hard · Principles of Finance cost-of-capital-structure
A firm with a 25% statutory tax rate has $500M of perpetual debt at a 6% coupon (priced at par). It also carries a deferred tax asset from prior losses, and analysts project that for the next 3 years the firm will have NO taxable income against which to deduct interest (it remains in a tax-loss position), after which it returns to full taxability in perpetuity. A junior analyst computes the after-tax cost of debt as 6%×(1-0.25)=4.5% and uses it for all years.
What is the most defensible critique of this treatment for valuing the firm today?
- The interest tax shield should be deferred: for the first 3 years the marginal tax benefit is effectively zero (so the after-tax cost approaches the 6% pre-tax rate), and only the present value of shields realized in year 4 onward should be capitalized at the 4.5% equivalent.
- The analyst should gross up the cost of debt to 8% because tax-loss carryforwards make debt strictly more expensive than the coupon during the shelter period.
- The after-tax cost of debt is correct as computed because the statutory rate is the legally binding marginal rate regardless of the timing of taxable income.
- Because the firm has a deferred tax asset, the effective tax rate on interest is zero in perpetuity, so the full 6% pre-tax cost of debt should be used for the entire valuation horizon.
Sign up free to see the explanation and track your rank →
More Principles of Finance cost-of-capital-structure practice
- What is its Degree of Financial Leverage (DFL)?
- Using Hamada's equation, what is the levered beta (β_L) of a firm if its unlevered beta (β
- Using the Gordon Growth Model assumptions, what is the firm's sustainable growth rate (g)?
- If a firm increases its use of financial leverage (debt) while its operating income (EBIT)
- If a company has a Negative Free Cash Flow to the Firm (FCFF) but a Positive Net Income, w
- If the pre-tax cost of debt is 6% and the marginal tax rate is 25%, what is the firm's WAC
- If revenue increases by 10%, what is the resulting percentage increase in operating income
- Calculate the Interest Coverage Ratio for a firm with Revenue of 1,000,000, COGS of 600,00