Model #44 • Desk 3: Corporate Finance & Treasury

M&A Accretion / Dilution & Synergy Sensitivity Engine

An institutional investment banking merger model. Underwrite purchase price allocation (PPA), consideration structuring (% cash, % debt, % stock), goodwill creation, deferred tax liabilities, and pro forma EPS accretion/dilution across 2D synergy matrices.

Transaction & Valuation DEAL TERMS
Acquirer Share Price ($) $85.00
Standalone trading price per acquirer share.
Target Share Price ($) $40.00
Unaffected standalone trading price of target.
Offer Premium (%) 25.0%
Acquisition premium over unaffected target price.
Consideration Mix (%) FUNDING
Cash Consideration (%) 40.0%
Funded from balance sheet cash (forgone interest at 4.5%).
New Debt Consideration (%) 40.0%
New debt issuance (interest rate at 7.0%).
Stock Consideration (%) 20.0%
New acquirer common shares issued to target shareholders.
Synergies & Adjustments VALUE CREATION
Pre-Tax Synergies ($M) $25.0M
Realized annualized pre-tax cost and operational synergies.
Identifiable Asset Write-up (%) 15.0%
% of purchase price allocated to write-ups (10-yr D&A).
Offer Price per Share $50.00 Equity Value: $1,250M
Goodwill Created $687.5M DTL Created: $39.4M
Pro Forma Year 1 EPS $5.24 Standalone: $5.00
Accretion / Dilution +4.8% Break-even Syn: $8.2M
Purchase Price Allocation & Balance Sheet Adjustments Value ($M) % of Deal
Pro Forma Combined Earnings Bridge ($M) Acquirer Target Adjustments Pro Forma
EPS Accretion / (Dilution) Sensitivity Matrix: Offer Premium vs. Synergies

Mathematical Mechanics of M&A Accretion / Dilution Underwriting

An accretive acquisition increases pro forma earnings per share relative to the acquirer's standalone EPS, whereas a dilutive transaction reduces pro forma EPS. The fundamental mathematical relationship is governed by the relative cost of financing versus the target's earnings yield.

1. Pro Forma Accretion / Dilution Equation

$$\text{Accretion / Dilution \%} = \frac{\text{Pro Forma Combined EPS} - \text{Acquirer Standalone EPS}}{\text{Acquirer Standalone EPS}} \times 100\%$$ $$\text{Pro Forma Combined EPS} = \frac{\text{Acquirer NI} + \text{Target NI} + \text{After-Tax Synergies} - \text{After-Tax Financing Costs} - \text{After-Tax Write-Up D&A}}{\text{Acquirer Shares} + \text{New Shares Issued}}$$

2. Purchase Price Allocation (PPA) & Goodwill Derivation

Goodwill represents the excess of purchase consideration over the fair value of net identifiable tangible and intangible assets:

$$\text{Goodwill} = \text{Equity Purchase Price} - \Big(\text{Target Book Value} + \text{Asset Write-Ups} - \text{Deferred Tax Liabilities (DTL)}\Big)$$ $$\text{Where: } \text{DTL} = \text{Identifiable Asset Write-Ups} \times \text{Corporate Tax Rate}$$

3. All-Stock Rule of Thumb

In an all-stock transaction with zero synergies, the deal is accretive if and only if the acquirer's P/E multiple is higher than the effective transaction P/E multiple paid for the target ($P/E_{\text{Acquirer}} > P/E_{\text{Target\_Offer}}$).

Frequently Asked Institutional Questions
What determines whether an M&A transaction is accretive or dilutive? +
In an all-stock deal, an acquisition is accretive if the acquirer's P/E multiple is higher than the effective acquisition P/E multiple paid for the target. In a cash or debt deal, it is accretive if the after-tax earnings yield of the target exceeds the after-tax cost of new debt or forgone interest on cash.
How does Purchase Price Allocation (PPA) affect pro forma earnings? +
When an acquirer writes up target tangible and intangible assets to fair value, the write-up creates incremental ongoing depreciation and amortization expenses, reducing pro forma pre-tax income and creating Deferred Tax Liabilities (DTLs).
What are break-even synergies in M&A underwriting? +
Break-even synergies represent the exact dollar amount of pre-tax cost or revenue synergies required for a deal to achieve exactly 0.00% EPS dilution, proving whether a transaction requires aggressive execution to avoid destroying shareholder value.