You are an analyst working for Goldman Sachs $,$ and you are trying to value the growth potential of a large, established company, Big IndustriesBig Industries has a thriving R&D division that has consistently turned out successful products. You estimate that, on average, the division launches two projec every three years $,$ so you estimate that there is a $67\%$ chance that a project will be produced every year. Typically $,$ the investment opportunities the R&D division produces require an initial investment of $$10\mathrm{.}4$ million and yield profits of $\backslash$$$1\mathrm{.}04$ million per year that grow at one of three possible growth rates in perpetuity: $3\mathrm{.}1\%0\mathrm{.}0\%,$ and $-3\mathrm{.}1\%.$ 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 $11\mathrm{.}8\%$ 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 least four decime places.$)$ What is the present value of all future growth opportunities? The present value is $$\_\_\_\_$million. $($Round to three decimal places.$)$