Exchange Ratio
The exchange ratio tells you how many acquirer shares you get for each target share in a stock deal. It directly determines the split of ownership in the combined company.
Definition
The exchange ratio in a stock-for-stock merger defines how many shares of the acquirer's stock a target shareholder receives for each share of the target they own. It is the mechanism by which the offer price is translated from dollars into acquirer shares and is one of the most heavily negotiated terms in any merger agreement. The exchange ratio directly determines how ownership of the combined company is split between the acquirer's existing shareholders and the target's shareholders.
Formula
Exchange Ratio = Offer Price per Target Share / Acquirer Stock Price Pro Forma Target Ownership = (Target Shares × ER) / (Acquirer Shares + Target Shares × ER)
Offer Price per Target Share
Dollar value offered for each share of the target company
Acquirer Stock Price
Current market price of the acquirer's stock
ER
Exchange ratio — shares of acquirer per share of target
Target Shares
Fully diluted shares outstanding of the target
Acquirer Shares
Fully diluted shares outstanding of the acquirer
Fixed vs Floating Exchange Ratios
How risk is allocated between acquirer and target
Fixed Exchange Ratio
Set number of acquirer shares per target share, regardless of price changes
1 Target share = 0.75 Acquirer shares
Risk
Acquirer bears risk if its stock falls (target gets same # of shares worth less)
Benefit
Certainty on dilution for acquirer shareholders
Most common in strategic M&A
Floating Exchange Ratio
Ratio adjusts so target receives a fixed dollar value per share
Target receives $45/share worth of acquirer stock (ratio floats)
Risk
Acquirer bears dilution risk if its stock drops (must issue more shares)
Benefit
Certainty on value for target shareholders
Common with collar provisions
Exchange Ratio Calculation
Offer Price / Acquirer Share Price = Exchange Ratio
Offer Price
$45
per target share
Acquirer Price
$60
per acquirer share
Exchange Ratio
0.7500x
acquirer shares per target share
Each target shareholder receives 0.7500 shares of the acquirer for every 1 share of the target they own.
Implied Premium Analysis
How exchange ratio translates to premium at different acquirer prices
Acquirer Price
$60
Ratio
0.75x
Implied Offer
$45.00
Premium
28.6%
Acquirer Price
$55
Ratio
0.75x
Implied Offer
$41.25
Premium
17.9%
Acquirer Price
$65
Ratio
0.75x
Implied Offer
$48.75
Premium
39.3%
Key insight: With a fixed exchange ratio, the implied premium fluctuates as the acquirer's stock moves. This is why targets often negotiate collars or walk-away rights if the acquirer's stock drops too far.
Fixed vs. Floating Exchange Ratios
In a fixed exchange ratio, the number of acquirer shares per target share is locked at signing and does not change regardless of stock price movements before closing. This means the effective dollar value of the deal fluctuates with the acquirer's stock price — if the acquirer's stock drops 10%, the target shareholders receive 10% less value. In a floating (or fixed-value) exchange ratio, the dollar value per target share is fixed, and the number of acquirer shares adjusts based on the acquirer's stock price at closing. Fixed ratios are more common because they preserve the pro forma ownership split, which is the ratio negotiated in the merger model. Some deals use a collar — a fixed ratio within a band, but if the acquirer's stock moves outside the band, the ratio adjusts or the deal terms may be renegotiated.
Calculating the Exchange Ratio
The exchange ratio is calculated as the offer price per target share divided by the acquirer's current stock price. If the acquirer offers $50 per target share and the acquirer's stock trades at $100, the exchange ratio is 0.50x — each target shareholder receives 0.5 acquirer shares for each target share. The implied premium is then derived by comparing the offer value to the target's undisturbed trading price. In a contribution analysis, the exchange ratio is evaluated based on each company's relative contribution of revenue, EBITDA, earnings, and equity value to the combined entity. If the target contributes 30% of combined EBITDA, the target shareholders should receive approximately 30% ownership of the combined company.
Impact on Accretion/Dilution and Ownership
The exchange ratio directly drives the accretion/dilution analysis because it determines how many new shares the acquirer issues, which affects the denominator in the combined company's earnings per share calculation. A higher exchange ratio means more dilution to existing acquirer shareholders. The pro forma ownership split is calculated as: Target Shareholders' Ownership = (Target Shares × Exchange Ratio) / (Acquirer Shares + Target Shares × Exchange Ratio). In a merger of equals, the exchange ratio is set to achieve a roughly 50/50 ownership split, though the exact ratio depends on relative market capitalizations. Bankers run extensive sensitivity analyses showing how different exchange ratios affect accretion/dilution, ownership, and implied premiums.
Worked Example — With Real Numbers
Acquirer Corp (stock at $80, 500M shares outstanding) offers to buy Target Inc (stock at $40, 200M shares outstanding) at a 25% premium. Offer price = $40 × 1.25 = $50 per share. Exchange ratio = $50 / $80 = 0.625x. Acquirer issues 200M × 0.625 = 125M new shares. Pro forma shares = 500M + 125M = 625M. Target shareholders own 125M / 625M = 20% of the combined company. If Acquirer Corp's stock drops to $70 before closing (fixed ratio), the effective value drops to 0.625 × $70 = $43.75 per target share — only a 9.4% premium vs. the original 25%.
Key Takeaways
Exchange Ratio = Offer Price / Acquirer Stock Price — it determines how many acquirer shares each target shareholder receives
Fixed exchange ratios lock the share ratio; floating exchange ratios lock the dollar value — fixed is more common
The exchange ratio drives both the pro forma ownership split and the accretion/dilution outcome
Contribution analysis benchmarks the exchange ratio against each company's relative contribution of earnings and value
Collars protect against extreme stock price movements by adjusting the ratio outside a defined band
Common Mistakes in Interviews
Confusing fixed exchange ratios with fixed-value deals — in a fixed ratio, the dollar value floats; in a fixed-value deal, the ratio floats
Forgetting to use fully diluted shares when calculating pro forma ownership — options and convertibles in both companies affect the split
Not running sensitivity on the exchange ratio — even a 0.05x change can significantly shift accretion/dilution outcomes
How Interviewers Test This
Merger-model questions often test whether you understand how the exchange ratio connects to accretion/dilution. If asked 'Is this deal accretive or dilutive?', you need to know that the exchange ratio determines how many shares are issued, which determines the new share count, which determines pro forma EPS. Be ready to walk through a quick example: 'If the acquirer's P/E is 20x and the target's P/E is 15x, the deal is accretive because the acquirer is using a more expensive currency to buy cheaper earnings.'
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