When a target has negative earnings, calculate pro forma earnings per share directly. A comparison of positive P/E multiples cannot answer the question because the target’s earnings denominator is negative.
Build a fictional stock acquisition
Assume the buyer earns $100 and has 50 shares outstanding. Its standalone EPS is $2. It issues 10 shares to acquire a target losing $10. The transaction produces $15 of annual after-tax synergies and $5 of annual after-tax purchase-accounting expense. Ignore fees, financing changes and partial-year ownership for this first calculation.
Combined earnings are 100 − 10 + 15 − 5 = 100. Combined shares are 50 + 10 = 60. Pro forma EPS is 100 ÷ 60 = $1.67, or approximately 16.7% dilution relative to $2.
The buyer’s total earnings are unchanged, but more shares divide them. “The synergies offset the target’s loss” is therefore not a complete accretion answer.
Solve for the break-even synergy
To maintain $2 EPS across 60 shares, combined net income must be $120. Let S represent after-tax synergies:
100 − 10 + S − 5 = 120, so S = 35.
| After-tax synergies | Pro forma net income | EPS | Result vs $2 |
|---|---|---|---|
| 15 | 100 | 1.67 | Dilutive |
| 35 | 120 | 2.00 | Break-even |
| 45 | 130 | 2.17 | Accretive |
Because synergies are already after tax, do not tax them again. If the question instead provides pretax synergies, establish an appropriate tax assumption and their timing before calculating net income.
Change the financing separately
For a cash or debt-funded acquisition, share issuance may disappear while lost interest income or incremental interest expense appears. Include the relevant after-tax effect when justified. The result depends on the complete bridge, not solely on the target being loss-making.
Also ask whether the target’s loss is recurring. Normalizing a one-time expense can be useful if supported, but deleting losses because they make the deal look bad is not analysis. Keep reported and adjusted cases visible.
EPS is one test, not a purchase recommendation
An accretive deal can still destroy economic value if the buyer overpays or takes poorly compensated risk. Damodaran’s acquisition analysis challenges using EPS accretion as a standalone decision rule. Our example tests arithmetic, not whether an acquisition is attractive.
Use the M&A interview guide for a broader preparation path and the valuation-methods guide for the separate value question. If the interviewer adds goodwill impairment, revisit the tax-assumption exercise before extending the earnings bridge.