Final answer:
To determine what an investor would pay for a share in Babble, Inc., the present value of projected profits is calculated and divided by the number of shares, resulting in an estimated share value of $256,450.
Step-by-step explanation:
To compute the value of a share of stock in Babble, Inc., we need to calculate the present value (PV) of the expected profits using the prescribed interest rate of 15%. The PV of each year's profit is found using the formula PV = Future Value / (1 + interest rate)^number of periods. For Babble, Inc., we'll calculate the PV for profits right away (PV0), in one year (PV1), and in two years (PV2).
For the present profit of $15 million: PV0 = $15 million / (1 + 0.15)^0 = $15 million
For the profit in one year of $20 million: PV1 = $20 million / (1 + 0.15)^1 = $17.39 million
For the profit in two years of $25 million: PV2 = $25 million / (1 + 0.15)^2 = $18.90 million
We then add up all the present values to get the total: $15 million + $17.39 million + $18.90 million = $51.29 million. After dividing by the number of shares, 200, we find that each share's value is $51.29 million / 200 = $256,450 per share. This is the amount an investor would be willing to pay for a share of stock in Babble, Inc. given these profit expectations and the 15% interest rate.