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To Induce the Owners of Splunk Company to Sell to Patterson

Question 94

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To induce the owners of Splunk Company to sell to Patterson Corporation, an earnout was included in the acquisition agreement. Patterson agrees to pay the former owners of Splunk $2.00 for every dollar of total EBITDA earned over $20 million in the next four years. The payment would be made at the end of four years. Expected total EBITDA in the next four years is as follows:
 Total EBIT DA earned  Probability $5,000,0000.4020,000,0000.3025,000,0000.2040,000,0000.10\begin{array} { | c | c | } \hline \text { Total EBIT DA earned } & \text { Probability } \\\hline \$ 5,000,000 & 0.40 \\\hline 20,000,000 & 0.30 \\\hline 25,000,000 & 0.20 \\\hline 40,000,000 & 0.10 \\\hline\end{array} Required
What is the expected present value of the earnout at the date of acquisition, assuming a discount rate of 20%? Round your answer to the nearest dollar.

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