Question

You are considering acquiring a common stock that you would like to hold for one year. You expect to receive both $1.25 in dividends and $32 from the sale of the stock at the end of the year. The maximum price you would pay for the stock today is ________ if you wanted to earn a 10% return.

A. $30.23
B. $24.11
C. $26.52
D. $27.50

Answer 1

The maximum that should be paid for the stock today is $30.23.

Step-by-step explanation:

The total return on a stock is made up of dividend received on the stock plus the capital gain received from selling the stock. The holding period is one year that means a 10% return on the amount invested in required for one year. We need to calculate the present value of the total of selling price plus the dividend to calculate the price of the stock today. As 10% return is required, the discount rate is also 10%.

PV = (1.25 + 32) / 1.1

PV = 30.227 rounded off to 30.23