Final answer:
To calculate what an investor would pay for a share of Babble, Inc., the present value of future profits is computed using a 15% discount rate. After determining the total present value of the profits, this is divided by the total number of shares (200) to arrive at a price per share, which is approximately $256,500 in this scenario.
Step-by-step explanation:
To determine what an investor might pay for a share in Babble, Inc., one would calculate the present value (PV) of the future profits, taking into account any discount rate. If the predicted profits are $15 million immediately, $20 million one year from now, and $25 million two years from now, these values need to be adjusted for the time value of money.
For example, if we assume a discount rate of 15%, we calculate separate present values for profits expected at different times, then add these values to obtain the present value of total expected profits. Once we have the total present value (TPV), we divide it by the number of shares to find the price per share. The provided example concludes with a TPV of $51.3 million divided by 200 shares, resulting in a value of approximately $256,500 per share.
Keep in mind that in the real world, these profits are estimates, and factors like interest rates can impact the value calculation significantly.