Final answer:
To determine what an investor would pay for a share of Babble, Inc., we calculate the present value of future dividends per share over the next two years and sum them up. This involves discounting future profits at the investor's required rate of return.
Step-by-step explanation:
When considering how much an investor will pay for a share of stock in Babble, Inc., we need to calculate the present value of the expected dividends since the company will be disbanded in two years. The profits expected to be paid out as dividends are $15 million right away, $20 million one year from now, and $25 million two years from now. Given there are 200 shares of stock, the dividends per share are $75,000 right away ($15 million / 200), $100,000 after one year ($20 million / 200), and $125,000 after two years ($25 million / 200).
To determine the present value (PV) of these dividends, we use the formula PV = D / (1 + r)^n, where D is the dividend, r is the discount rate, and n is the number of years in the future the dividend will be paid. Assuming a certain discount rate, we sum the present value of each year's dividend to find out what an investor would be willing to pay for a share today.