XYZ stock has a standard deviation of return of 25% and the stock index has a standard deviation of return of 15%.  The correlation coefficient between stock return and stock index return is 0.82. The stock is expected to pay dividend of $4 in one year and its expected price in one year is $30.  The risk-free rate is 3%.  The stock market index has an expected return of 12%. (1)  Estimate the beta of the stock.  Is the stock riskier than the stock market index?   (2)  Use the security market line to determine the required rate of return of the stock. (3) Determine the value of the stock. (4)  If the stock has a current price of $28, what is the expected return? Would you investment in the stock?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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XYZ stock has a standard deviation of return of 25% and the stock index has a standard deviation of return of 15%.  The correlation coefficient between stock return and stock index return is 0.82. The stock is expected to pay dividend of $4 in one year and its expected price in one year is $30.  The risk-free rate is 3%.  The stock market index has an expected return of 12%.

(1)  Estimate the beta of the stock.  Is the stock riskier than the stock market index?  

(2)  Use the security market line to determine the required rate of return of the stock.

(3) Determine the value of the stock.

(4)  If the stock has a current price of $28, what is the expected return? Would you investment in the stock?

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