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 64 % chance that a project will be produced every year. Typically, the investment opportunities the R&D division produces require an initial investment of $ 10.1 million and yield profits of $ 1.09 million per year that grow at one of three possible growth rates in perpetuity: 3.1 % , 0.0 %, and negative 3.1 %.

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 12.2 % 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 least four decimal places.)

What is the present value of all future growth opportunities? $ million(Round to three decimal places.)