Roxette, Inc., will pay fixed dividends at the end of each of the next two years. The dividend will then grow at a constant rate of 6 percent per year thereafter forever. The current share price is $70. What is next year’s dividend payment if the required rate of return is 10 percent?Part B [5 marks]Green Tech Ltd. currently trades at $75 per share. The required return on its share is 10 percent. The total return on its share is equally divided between a capital gains yield and a dividend yield. Green Tech’s policy is to always maintain a constant growth rate in dividends. What is its current dividend per share?
Question
Roxette, Inc., will pay fixed dividends at the end of each of the next two years. The dividend will then grow at a constant rate of 6 percent per year thereafter forever. The current share price is 75 per share. The required return on its share is 10 percent. The total return on its share is equally divided between a capital gains yield and a dividend yield. Green Tech’s policy is to always maintain a constant growth rate in dividends. What is its current dividend per share?
Solution
The language of the text is English.
To answer the questions:
Part A:
We can use the Gordon Growth Model (also known as the Dividend Discount Model) to calculate the dividend payment for Roxette, Inc. The model is as follows:
P = D / (r - g)
Where: P = Current price of the share D = Dividend payment of next year r = Required rate of return g = Growth rate of dividends
We can rearrange the formula to solve for D:
D = P * (r - g)
Substituting the given values:
D = 70 * 0.04 = $2.8
So, the dividend payment for next year is $2.8.
Part B:
For Green Tech Ltd., we know that the total return is equally divided between a capital gains yield and a dividend yield. This means that the dividend yield is half of the required return, or 0.10 / 2 = 0.05 (5%).
We also know that the price of a share (P) is equal to the dividend of next year (D1) divided by the required rate of return minus the growth rate (r - g). However, because the growth rate is equal to the dividend yield, we can simplify this to:
P = D1 / r
Rearranging to solve for D1 gives us:
D1 = P * r
Substituting the given values:
D1 = 3.75
So, the current dividend per share for Green Tech Ltd. is $3.75.
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