\"House of Haddock has 5,000 shares outstanding and the stock price is $140. The
ID: 2671632 • Letter: #
Question
"House of Haddock has 5,000 shares outstanding and the stock price is $140. The company is expected to pay a dividend of $20 per share next year and thereafter, the dividend is expected to grow indefinitely by 5% a year. The president, George Mullet, now makes a surprise announcement: He says that the company will henceforth distribute half the cash in the form of dividends and the remainder will be used to repurchase stock.a. What is the total value of the company before and after the announcement? What is the value of one share?
b. What is the expected stream of dividends per share for an investor who plans to retain his shares rather than sell them back to the company? Check your estimate of share value by discounting this stream of dividends per share.
"
Explanation / Answer
Using the Gordon growth model 140= 20/(r- .05) r= .192857 (expected return in the stock) So at 140 per share the total value of the company is 140*5,000= 700,000 If the dividend growth rate is cut to 2.5% P= 20/(.192857-.025)= 119.14 (one share) So value of the company is now 595,745. Dividend stream 20, 20.50, 21.01, 21,54........ (previous times 1.025)
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