Final answer:
To determine the price per share, we need to calculate the present value of the future profits and divide it by the number of shares. Using a 15% interest rate, the price per share is approximately $213,100.
Step-by-step explanation:
In order to determine the price per share, we need to calculate the present value of the future profits and divide it by the number of shares. Using a 15% interest rate, we can calculate the present value of the profits as follows:
- $15 million / (1 + 0.15) = $13.04 million
- $20 million / (1 + 0.15)^2 = $15.17 million
- $25 million / (1 + 0.15)^3 = $14.41 million
Next, we add up all the present values to get a total present value of $42.62 million. Finally, we divide this total by the number of shares, 200, to get a price per share of approximately $213,100.