Final answer:
To determine the price per share an investor would pay for Babble, Inc., one calculates the present value of expected dividends using a 15% interest rate and then divides this by the number of shares, which results in $256,500 per share. This reflects the investor's expectation for dividends over the company's life.
Step-by-step explanation:
The valuation of shares for Babble, Inc. could be determined by calculating the present value of the expected dividends considering the required rate of return or interest rate. To estimate what an investor would pay for a share of this company, one would add up all the present values of profits expected right away, one year from now, and two years from now at the given interest rate. After determining this present value of total profits (PV), divide by the number of shares to find the price per share.
Using a 15% interest rate and the projected profits of $15 million, $20 million, and $25 million over the three years, we calculate the present value for each profit, add them together, and then divide by the total shares, 200 in this case. The final calculation would indicate an investor might be willing to pay approximately $256,500 per share of Babble, Inc. This price reflects the investors' expectations for the dividends they will receive over the company's remaining life.