Accretion/Dilution Analysis

An acquirer announces it is buying a smaller company, and within minutes analysts on the earnings call ask a single question: is the deal accretive or dilutive? They are not asking whether the acquisition is strategically wise. They are asking a narrower, purely mechanical question — will the combined company's earnings per share be higher or lower than the acquirer's standalone EPS the moment the deal closes? That test is accretion/dilution analysis, and it is the first filter almost every M&A deal is run through, even though it is a poor proxy for whether the deal actually creates value.

The mechanics

$$\text{Pro forma EPS} = \frac{\text{Acquirer NI} + \text{Target NI} + \text{Synergies} - \text{Financing Cost}}{\text{Acquirer Shares} + \text{New Shares Issued}}$$

Read term by term: the combined net income is the acquirer's own earnings plus the target's earnings plus any cost savings or revenue synergies, minus whatever it costs to finance the deal — after-tax interest if funded with debt, nothing if funded with cash on hand. That combined income is divided by the combined share count — the acquirer's existing shares plus any new shares issued to pay for the deal. If the resulting pro forma EPS is higher than the acquirer's standalone EPS, the deal is accretive; if lower, it is dilutive.

The single biggest driver of the answer, holding the target's earnings fixed, is how the deal is financed — cash, debt, or stock — because each financing method changes the denominator, the numerator, or both, in a completely different way.

A worked example

Acquirer has $500m net income and 100 million shares, so standalone EPS = $5.00. It buys a target with $50m net income for $600m in an all-stock deal, at the acquirer's own current price of $60/share, so it issues 600m / $60 = 10 million new shares.

Pro forma net income is 500m + 50m = $550m (ignoring synergies for simplicity), and pro forma shares are $100m + 10m = 110$ million. Pro forma EPS = 550 / 110 = $5.00 — exactly unchanged, because the acquirer effectively paid a P/E of $600m / 50m = 12\times$ for the target, identical to its own $60/5 = 12\times$ P/E. Paying the same multiple for the target as the market pays for the acquirer is, by construction, EPS-neutral.

Now change only the price paid: the acquirer pays $750m instead of $600m for the same $50m of target earnings — a 15× multiple, above the acquirer's own 12×. It must issue 750m / $60 = 12.5 million new shares. Pro forma net income is still $550m, but pro forma shares are now $100m + 12.5m = 112.5$ million, giving pro forma EPS = 550 / 112.5 = $4.89 — dilutive, purely because the acquirer paid a richer multiple for the target than the market pays for the acquirer's own stock, a mechanical result independent of the target's underlying quality.