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Jackson 5 industries decided to pay a $4 dividend in one year and the stock is c

ID: 2755953 • Letter: J

Question

Jackson 5 industries decided to pay a $4 dividend in one year and the stock is currently trading at $22.18. The firm expects dividends to grow at 20% for the next three years it pays dividends. After that point in time, the firm anticipates that the dividend growth rate will lineraly decline over the next four years to a long term constant growth rate of 2.5%. The risk premium for market is currently 4% with the risk free rate of 1.25%. In general, Jackson 5 industries is considered to be about 25% more sensitive to systematic risk as proxied by the market than other firms. What is the required rate of return for jackson 5 industries? how much is one share worth today? should you buy, sell, or hold share? Why?

Explanation / Answer

Beta of the market is 1.

Beta of Jackson is 25% more of the beta of the market

Therefore, Beta of Jackson is 1.25

Required rate of return (ke) = Risk free rate + [Beta x Market Risk Premium]

= 1.25 + [1.25 x 4]

= 6.25%

Worth of share = Dividend expected next year / Ke - g

= [4 x 1.20] / (0.0625 - 0.025)

= $120

The share is selling at $22.18, that means it is underpriced in the market, it should be held.