Final answer:
An investor would calculate the present value of expected dividends from Babble, Inc. using a 15% interest rate and then divide the total by the number of shares, resulting in an estimated share price of $256,500.
Step-by-step explanation:
To determine what an investor would pay for a share of stock in Babble, Inc., we need to calculate the present value (PV) of the dividends expected to be received in the next two years. As profits are paid immediately and in the following two years, we must also take into account any interest rate to calculate the present value of the future dividends. Assuming a 15% interest rate, we calculate the present value for each year's profits and then add them up to find the total present value of all future payouts.
For immediate profits of $15 million, the present value is simply $15 million, since there is no time delay. For the $20 million expected in one year, the present value (PV) would be $20 million divided by (1 + 0.15)1, and for the $25 million in two years, the present value would be $25 million divided by (1 + 0.15)2. Once we have these values, we sum them up and then divide by the total number of shares, which is 200, to find out how much an investor might be willing to pay for each share.
Calculating this, and assuming the totals yield a sum of $51.3 million of present value for all future payouts, we then divide this by 200 to find the price per share. Hence, an investor should be willing to pay about $256,500 per share.