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You are an analyst working for Goldman Sachs, and you are trying to value the growth potential of a large, established company, Big Industries. Big

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You are an analyst working for Goldman Sachs, and you are trying to value the growth potential of a large, established company, Big Industries. Big Industries has a thriving R\&D division that has consistently turned out successful products. You estimate that, on average, the division launches two projects every three years, so you estimate that there is a 60% chance that a project will be produced every year. Typically, the investment opportunities the R\&D division produces require an initial investment of $9.9 million and yield profits of $1.02 million per year that grow at one of three possible growth rates in perpetuity: 2.7%,0.0%, and 2.7%. All three growth rates are equally likely for any given project. These opportunities are always "take it or leave it" opportunities: If they are not undertaken immediately, they disappear forever. Assume that the cost of capital will always remain at 11.8% per year. What is the present value of all future growth opportunities Big Industries will produce? (Hint: Make sure to round all intermediate calculations to at loast four decimal places.) What is the present value of all future growth opportunities? The present value is $ million. (Round to three decimal places.)

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