You are considering entering the shoe business. You believe that you have a narrow window for entering this market. Because of Christmas demand, the time is right today, and you believe that exactly a year from now would also be a good opportunity. Other than these two windows, you do not think another opportunity will exist to break into this business. It will cost you $35 million to enter the market. Because other shoe manufacturers exist and are public companies, you can construct a perfectly comparable company. Hence, you want to use the Black-Scholes formula to decide when and if you should enter the shoe business. Your analysis implies that the current value of your shoe company would be $40 million, and that the volatility is 25% per year. Of the $40 million current value, $6 million is coming from the free cash flows expected in the first year. The risk-free rate is 4%. What is the value of the investment opportunity if you choose to wait? (Hint: think of the investment as a call option)
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