Final answer:
The price per share of Babble, Inc. is calculated by first determining the present value of future profits at a 15% interest rate and then dividing by the number of shares, which results in approximately $256,500 per share.
Step-by-step explanation:
To determine the price an investor would pay for a share of stock in Babble, Inc., we have to calculate the present value (PV) of future profits and then divide by the number of shares. Assuming an interest rate of 15%, the present value of profits received at different times needs to be summed up to find the total present value (TPV).
Once we have the TPV, we divide it by the number of shares (200 shares) to find the price per share. In this hypothetical scenario, Babble, Inc. has expected profits that will be paid out as dividends: $15 million immediately, $20 million in one year, and $25 million in two years. The present value of these profits is calculated and summed to find the TPV. Dividing the TPV by the number of shares indicates that the price per share would be about $256,500 per share.