Monday, 22 October 2018

Red, Inc., Yellow Corp., and Blue Company each will pay a dividend of $2.35 next year. The growth rate in dividends for all three companies is 4 percent. The required return for each company’s stock is 6 percent, 9 percent, and 12 percent, respectively. What is the stock price for each company?

Red, Inc., Yellow Corp., and Blue Company each will pay a dividend of $2.35 next year. The growth rate in dividends for all three companies is 4 percent. The required return for each company’s stock is 6 percent, 9 percent, and 12 percent, respectively. What is the stock price for each company?


We can use the constant dividend growth model, which is:

Pt = Dt × (1 + g)/(R  g)

So the price of each company’s stock today is:

Red stock price = $2.35/(.06 − .04) = $117.50
Yellow stock price = $2.35/(.09 − .04) = $47.00
Blue stock price = $2.35/(.12 − .04) = $29.38

As the required return increases, the stock price decreases. This is a function of the time value of money: A higher discount rate decreases the present value of cash flows. It is also important to note that relatively small changes in the required return can have a dramatic impact on the stock price.

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