Merger Model Basics: Purchase Price Allocation, Goodwill, and Pro Forma EPS

The merger model (also called an M&A model or accretion/dilution model) is the bridge between "what's this company worth?" and "should our client do this deal?" It takes transaction assumptions — purchase price, financing mix, synergies — and produces pro forma combined financials, with pro forma EPS as the headline output. This guide covers the full build: transaction setup, purchase price allocation, pro forma adjustments, and the accretion/dilution math that drives every M&A pitch.

The merger model's purpose

A merger model answers three questions:

1. Can the acquirer afford this deal? (financing capacity, leverage impact)
2. Is the deal accretive or dilutive to EPS? (the headline metric for public company acquirers)
3. What synergies are needed to make it work? (breakeven synergy analysis)

It's not a valuation tool — that's what DCF and comps are for. The merger model assumes the purchase price is given and tests whether the transaction math works.

Step 1: Transaction assumptions

Every merger model starts with these inputs:

| Input | Example | |-------|---------| | Acquirer share price | $50.00 | | Target share price | $30.00 | | Offer price per target share | $36.00 (20% premium) | | Target diluted shares | 100M | | Purchase price (equity) | $3,600M | | Target net debt | $500M | | Transaction value (EV) | $4,100M | | Form of consideration | 60% stock / 40% cash | | New debt raised | $1,640M (40% of EV) | | Acquirer shares issued | 43.2M ($2,160M ÷ $50) | | Synergies (pre-tax, run-rate) | $100M | | Synergy phase-in | Year 1: 50%, Year 2+: 100% | | Integration costs | $150M (one-time, Year 1) | | Tax rate | 25% |

Step 2: Sources & Uses

Uses:                              Sources:
Purchase Target Equity  $3,600M    New Debt              $1,640M
Refinance Target Debt     $500M    Stock Issued          $2,160M
Transaction Fees          $120M    Acquirer Cash            $420M
Total Uses              $4,220M    Total Sources           $4,220M

Transaction fees (advisory, legal, financing) are typically 2%–4% of deal value. Acquirer cash is a source only if the acquirer uses existing balance sheet cash to fund part of the purchase (reducing the stock or debt needed).

Step 3: Purchase Price Allocation (PPA)

After the deal closes, the acquirer must allocate the purchase price to the target's assets and liabilities at fair value:

Purchase Price (Equity Value):     $3,600M
+ Assumed Net Debt:                  $500M
= Total Consideration (EV basis):  $4,100M

Less: Fair Value of Net Identifiable Assets:  $2,800M
Less: Identified Intangibles (customer relationships, technology, brand):  $600M
= Goodwill:                        $700M

Goodwill is the plug — everything the acquirer paid for that isn't a specifically identifiable asset:

Goodwill = Purchase Price − Fair Value of Net Identifiable Assets − Identified Intangibles

Goodwill sits on the combined balance sheet and is tested annually for impairment (not amortized under US GAAP). A large goodwill balance relative to equity is a yellow flag: it means the acquirer paid a significant premium over identifiable asset value.

Why PPA matters for the merger model

PPA creates two ongoing income statement effects:

1. Intangible amortization: identified intangibles (customer relationships, technology) are amortized over their useful life (typically 5–15 years), creating a non-cash expense that reduces pro forma net income
2. Goodwill impairment risk: if the combined business underperforms, goodwill is written down — a one-time hit to net income

Annual Intangible Amortization = Identified Intangibles ÷ Useful Life
Example: $600M ÷ 10 years = $60M/year

Step 4: Pro forma income statement

Combine acquirer and target income statements with transaction adjustments:

Pro Forma Revenue = Acquirer Revenue + Target Revenue
Pro Forma COGS = Acquirer COGS + Target COGS − Cost Synergies
Pro Forma SG&A = Acquirer SG&A + Target SG&A − Cost Synergies
Pro Forma EBITDA = Revenue − COGS − SG&A − Other OpEx

Then below EBITDA, apply transaction-specific adjustments:

Pro Forma EBIT = EBITDA − D&A (including new intangible amortization)
Pro Forma EBT = EBIT − Interest Expense (existing + new deal debt) − Interest Income Lost
Pro Forma Net Income = EBT × (1 − Tax Rate)
Pro Forma EPS = Pro Forma Net Income ÷ Pro Forma Diluted Shares

Key transaction adjustments

| Adjustment | Effect on Net Income | |-----------|---------------------| | New interest on deal debt | Reduces NI (cash expense) | | Lost interest income (cash used) | Reduces NI (foregone income) | | Intangible amortization (PPA) | Reduces NI (non-cash) | | Synergies (cost or revenue) | Increases NI | | Integration costs (one-time) | Reduces NI in Year 1 | | Depreciation step-up (PPA) | Reduces NI (non-cash, if assets written up) |

Step 5: Accretion / Dilution analysis

The headline output:

Accretion/Dilution (%) = (Pro Forma EPS ÷ Acquirer Standalone EPS) − 1

Accretive: pro forma EPS > standalone EPS (positive %) Dilutive: pro forma EPS is below standalone EPS (negative %)

Example:

• Acquirer standalone EPS: $3.00
• Pro forma EPS: $3.18
• Accretion: ($3.18 ÷ $3.00) − 1 = +6.0% (accretive by 6%)

What drives accretion/dilution

The core relationship:

Accretive when: Target Earnings Yield > Cost of Acquisition Funding
Dilutive when:  Target Earnings Yield < Cost of Acquisition Funding

Target Earnings Yield = Target Net Income ÷ Purchase Price (equity)

Cost of Funding:

• Cash/debt: after-tax cost of debt (Interest Rate × (1 − Tax Rate))
• Stock: acquirer's earnings yield (Acquirer EPS ÷ Acquirer Share Price)

Example:

• Target earnings yield: $200M NI ÷ $3,600M price = 5.6%
• Cost of debt (after-tax): 5.0% × (1 − 25%) = 3.75%
• Acquirer earnings yield: $3.00 ÷ $50.00 = 6.0%

With 60% stock / 40% debt funding:

• Blended cost: (60% × 6.0%) + (40% × 3.75%) = 5.1%
• Target yield (5.6%) > Blended cost (5.1%) → Accretive

Stock-funded deals are more likely dilutive when the acquirer's P/E is high (low earnings yield). Debt-funded deals are more likely accretive when debt is cheap relative to target earnings.

Step 6: Synergy breakeven

Interviewers often ask: "How much synergy does this deal need to be breakeven?"

Set pro forma EPS = standalone EPS and solve for required synergies:

Required Pre-Tax Synergies = (Standalone EPS − Pro Forma EPS without synergies) × Pro Forma Shares ÷ (1 − Tax Rate)

If the deal is 8% dilutive without synergies and you need to get to 0%, calculate the pre-tax synergy number that closes the gap. Then assess whether that synergy target is achievable — a deal requiring $200M of synergies when the target's total EBITDA is $300M is a very aggressive synergy case.

Common interview questions

"Walk me through a merger model." Transaction assumptions → sources & uses → PPA (goodwill calculation) → pro forma income statement with adjustments → pro forma EPS → accretion/dilution percentage. Hit these six steps in order.

"What's goodwill and why does it matter?" Goodwill = purchase price minus fair value of net identifiable assets minus identified intangibles. It's the premium paid for things you can't separately identify (synergies, workforce, market position). Large goodwill = high impairment risk if the deal underperforms.

"Why is the deal accretive if the acquirer overpaid?" It can be — if the deal is funded with cheap debt. Accretion/dilution is about the funding cost vs. target earnings yield, not whether the purchase price is fair. A strategically overpriced deal funded with low-cost debt can still be accretive to EPS.

"Cash vs. stock — which is more accretive?" Debt/cash is typically more accretive (lower funding cost). Stock is more likely dilutive (acquirer's earnings yield may be lower than target's). But stock conserves cash and shares risk with target shareholders.

The build order to practice

1. Set transaction assumptions (price, mix, synergies)
2. Build sources & uses
3. Calculate PPA and goodwill
4. Combine income statements with adjustments
5. Calculate pro forma EPS
6. Compute accretion/dilution
7. Run synergy breakeven

The merger model connects valuation (what's the target worth) to decision-making (does the deal work for our client). Master this build and you've covered the most common M&A technical in IB interviews — then prove it on SheetRank's live M&A deal, where every pro forma adjustment is graded cell by cell.