The formulas
- Equity plan: EPS = (EBIT - I1)(1 - t) / N1
- Debt plan: EPS = (EBIT - I2)(1 - t) / N2
- Indifference EBIT = (N2 x I1 - N1 x I2) / (N2 - N1)
How it works
Funding a project with debt adds fixed interest. Funding it with equity adds shares. Below the indifference EBIT, the equity plan gives higher EPS, because interest eats a large share of a small profit. Above it, the debt plan wins, because the extra profit is spread over fewer shares.
The EPS view ignores risk. Higher debt raises the chance of distress and the volatility of EPS, which pushes up the cost of equity. Use the indifference point with your forecast range of EBIT: if a bad year falls well below it, debt hurts in exactly the year it matters.
Illustrative figures only. Check the result against your firm's methodology before relying on it.
Common questions
What about preferred stock?
Preferred dividends are not deductible. Subtract them from after-tax income, before dividing by shares, in the plan that issues them.
Why does the tax rate not change the indifference point?
Tax scales both plans by the same factor, so it cancels.
What share price sets the new share count?
The net amount raised divided by the issue price after costs.
Formulas on this page are the standard definitions.
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