Merger accretion and dilution analysis

Key takeaways

• Pro forma EPS equals combined net income, less the after-tax cost of financing, plus after-tax synergies, divided by the acquirer's shares plus any new shares issued.
• An all-stock deal is accretive before synergies exactly when the acquirer's P/E exceeds the P/E paid for the target.
• An all-cash deal is accretive before synergies when the target's earnings yield at the offer price exceeds the after-tax cost of the cash: after-tax interest on new debt or foregone after-tax interest on cash.
• Breakeven synergies are the pretax synergies whose after-tax amount closes the gap between pro forma and stand-alone net income at the pro forma share count.
• Accretion measures relative financing costs, not value; a deal creates value for acquirer shareholders only if the value of synergies exceeds the premium paid.

What accretion and dilution measure

Accretion or dilution is the percentage change in the acquirer's EPS caused by the deal: pro forma EPS compared with the acquirer's stand-alone EPS for the same period. A deal is accretive if pro forma EPS is higher, dilutive if lower, and breakeven if equal. Analysts usually show it for the first two or three full years after closing, on forecast earnings, because synergies and financing costs change over time.

Pro forma net income starts with the two companies' net incomes added together. It then subtracts the after-tax cost of paying for the target: interest on new debt, or interest income no longer earned on cash spent. It adds after-tax synergies, and it makes purchase accounting adjustments such as amortization of newly recognized intangible assets. The pro forma share count is the acquirer's existing shares plus any new shares issued to the target's shareholders.

The examples below use one hypothetical pair throughout and, for clarity, ignore transaction fees, purchase accounting (until its own section), and timing within the year.

An all-stock acquisition

In an all-stock deal the acquirer pays with its own shares. The number of new shares depends on the acquirer's share price: the higher that price, the fewer shares needed to deliver the same value to the target's shareholders. No cash leaves the company, so there is no financing cost in net income. The only question is whether the target's earnings added to the numerator outweigh the new shares added to the denominator.

The P/E rule for stock deals, proven

The result above follows from a simple comparison. Ironbridge issues shares valued at 20 times their earnings to buy earnings priced at 15 times. Each new share brings in more earnings than an existing Ironbridge share carries, so EPS rises. If Ironbridge's P/E were below the P/E it paid, each new share would bring in less, and EPS would fall.

The algebra makes it exact. Before synergies, pro forma EPS exceeds stand-alone EPS if and only if the target's earnings per new share issued exceed the acquirer's EPS. New shares issued equal purchase equity value divided by the acquirer share price, so the target's earnings per new share are NIt x Pa / Purchase equity value. Setting that greater than EPSa and rearranging gives Pa / EPSa greater than Purchase equity value / NIt: the acquirer's P/E must exceed the P/E paid.

All-cash deals and the cost of cash

In an all-cash deal the share count does not change. EPS changes only through net income: the acquirer gains the target's earnings but loses something to fund the price. If it borrows, it pays interest, which is tax deductible, so the cost is the after-tax interest. If it uses cash already on the balance sheet, it gives up the interest that cash was earning, also after tax. Cash on hand usually earns less than new debt costs, so balance sheet cash is the cheaper source for EPS purposes, though not necessarily for risk.

The equivalent rule compares yields. Buying the target yields its earnings divided by the price paid, the inverse of the P/E paid. Paying for it costs the after-tax rate on the cash. If the earnings yield on the purchase exceeds the after-tax cost of cash, the deal is accretive.

Mixed consideration

Many deals combine cash and stock. The mechanics combine the two cases: new shares for the stock portion at the acquirer's price, financing cost for the cash portion. The result sits between the pure cases, weighted by the mix. Choice of mix is also driven by factors outside EPS: the acquirer's leverage and credit rating, whether the target's shareholders want to share in the combined company's future, tax treatment for the sellers in some jurisdictions, and the signal sent by paying with shares an acquirer may believe are overvalued.

Synergies needed to break even

When a deal is dilutive before synergies, the natural question is how much synergy it needs to break even. Solve for the after-tax synergies that make pro forma net income, divided by pro forma shares, equal stand-alone EPS; then gross up for tax. Boards and investors then judge whether that level is credible, how long it takes to achieve and what it costs to get there.

Breakeven synergies are a low bar, not a target. A deal that needs all of its planned synergies merely to hold EPS flat leaves no room for integration delays or costs.

Purchase accounting and other adjustments

Real pro forma EPS includes the accounting consequences of the acquisition. Under both US GAAP (ASC 805) and IFRS 3, the acquirer records the target's identifiable assets and liabilities at fair value. Identifiable intangible assets such as customer relationships, technology and brands are recognized and, if they have finite lives, amortized, which reduces pretax income. Inventory and fixed assets written up to fair value raise cost of sales and depreciation. Goodwill, the excess of price over the fair value of net identifiable assets, is not amortized under either framework but is tested for impairment.

Other adjustments include financing fees amortized into interest expense, transaction costs (expensed, and usually excluded from forward EPS as non-recurring), the loss of the target's own interest income or the refinancing of its debt, and differences in tax rates. Many companies and analysts present an adjusted EPS that excludes acquisition amortization; state which basis the accretion figure uses.

Why accretion is not value creation

EPS accretion depends on the relationship between the price paid, the acquirer's own P/E and the cost of cash. None of those is a measure of whether the target is worth what was paid. A high P/E acquirer can make almost any stock deal accretive, and cheap debt can make almost any cash deal accretive, including deals that overpay.

Value for the acquirer's shareholders comes from a simpler comparison: the value of what is acquired, including synergies, against the price paid. If the market valued the target fairly before the bid, the acquirer gains only if the present value of synergies, net of integration costs, exceeds the premium. That is the same synergy test used in precedent transactions analysis, seen from the buyer's side.

Markets understand this. If a deal is accretive but overpays, the acquirer's P/E tends to fall, because the extra earnings come with more leverage or an overpriced purchase, and the share price can fall even as EPS rises.