Final answer:
An investor would pay approximately $213,000 per share for the stock in this company.
Step-by-step explanation:
To determine the price per share, we need to calculate the present value of the projected profits and divide it by the number of shares. First, we calculate the present value for each year's profit using a discount rate of 15%:
- Present value of $15 million: $15 million / (1 + 0.15) = $13.04 million
- Present value of $20 million: $20 million / (1 + 0.15)² = $14.55 million
- Present value of $25 million: $25 million / (1 + 0.15)³ = $15.01 million
Next, we sum up the present values: $13.04 million + $14.55 million + $15.01 million = $42.60 million. Finally, we divide the total present value by the number of shares (200): $42.60 million / 200 = $213,000. Therefore, an investor would pay approximately $213,000 per share for the stock in this company.