With more than $57 trillion in mergers and acquisitions, according to the Institute for Mergers, Acquisitions & Alliances, understanding how the Exchange Ratio works is essential for businesses and investors to maximize these processes.

The ratio assesses how many shares the company that’s purchasing the takeover company must issue per share of the takeover business. Transactions that use shares for part or whole of the payment are able to leverage this integral benchmark. It’s important to keep in mind that the exchange ratio may provide parties helpful insight on transactions involving all or part equity, but it won’t be beneficial for all cash deals.

The formula to calculate the ratio is as follows:  

Exchange Ratio = Offer Price for Target’s Shares / Acquirer’s Share Price

Looking at the acquiring firm’s and the target or acquired firm’s share prices illustrates the exchange ratio. If the target firm has 30,000 shares outstanding and trades at $34.60, and the acquiring firm offers to pay a 20 percent takeover, it results in a share price of $41.52 per share. The acquiring firm’s share price currently trades at $23.50.

Putting the formula into practice, it’s as follows:

= $41.52 / $23.50

= 1.77

Based on the resulting Exchange Ratio of 1.77, the acquiring firm must issue 1.77 shares of its equity for each share of the target firm it wants to acquire.

For transactions with different proportions of cash and stock, the percentage of stock is what’s factored into the exchange ratio. Deals conducted with 100 percent stock provide the most value to an exchange ratio.   

Real World Example

If an acquiring business offers the acquisition target two of its shares for a single share of the acquired company, the deal can take the following circumstances. Before the deal announcement, the purchasing company’s shares might be trading at $20, with the target company’s shares trading at $30. With a 2-to-1 exchange ratio, the purchaser is bidding $40 for the seller’s share at $30.

After the deal announcement, there’s usually a valuation difference between buyer and seller due to the time value of money and risks. Risks include potentially being blocked by regulators, shareholder rejection or changing economic conditions. One important consideration is that merger arbitration may occur by investors when they try to get ahead of a deal ultimately completing before the uncertainty is removed.

If the deal ultimately closes, and investors get two buyer shares in exchange for one seller share and the acquiring company’s share increases to $37 from $30, investors who bet against the buyer’s stock via short-selling will be rewarded a difference of $3 per share (2 shares from the acquiring company 2 X $20 = $40 minus the $37 single share price of the target company). Investors who close out their short position will see the difference from the seller’s price for a profit. This tactic is frequently executed by opportunistic investors who have no direct interest in owning the equity, but only for a trade.

While each deal is different, understanding the process is essential to break down the internal details for all interested merger and acquisition parties. 

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