1. Recife Corporation stock has a Beta of 1.39 and it will pay a dividend of $1.50 next year. The following table shows the various possible economic conditions. State of the economy for the next year__________Probability___________Expected return of t

1. Recife Corporation stock has a Beta of 1.39 and it will pay a dividend of $1.50 next year. The following table shows the various possible economic conditions.
State of the economy for the next year__________Probability___________Expected return of the market
Good_____________________________________40%_______________________15%
Fair______________________________________30%________________________10%
Poor_____________________________________30%_________________________0%
The current riskless rate is 5%. The expected long-term rate of growth of Recife is 8%. Find the value of its common stock. Hint : assume that the predictions of the economy are short-term, perhaps over the next year. Also, assume that the growth of the dividends are long term (perhaps forever).
2. Belem Company stock currently sells at $21 per share. Given the uncertainty in the economy, you have estimated that after one year, the stock price and its dividend will have the following probabilty distribution.
Probability_______________Price/Share_______________Dividend/Share
10%______________________$26______________________$1.20
40%______________________$24______________________$1.10
40%______________________$22______________________$1.00
10%______________________$15______________________$0.90
The expected return of the market is 13% and the risk-free rate is 5%. Estimate the Beta of the stock.
3. Goiania Company has the same growth rate as Campinas Corporation. The current stock price of Goiania is $43 per share, and its dividend this year is $3. The riskless rate is 4% and the expected return on the market is 12%. Campinas stock is selling at $75 per share. Its dividend next year will be $4 a share and its Beta is 1.3. Find the Beta of the Goiania stock.

 

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