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Stock X has a standard deviation of 21 percent per year and stock Y has a standard deviation of 6 percent per year. The correlation

  1. Stock X has a standard deviation of 21 percent per year and stock Y has a standard deviation of 6 percent per year. The correlation between stock A and stock B is 0.38. You have a portfolio of these two stocks wherein stock X has a portfolio weight of 60 percent. What is your portfolio standard deviation?
  2. The Rug Barn has paid annual dividends of $1.35, $1.36, $1.40, $1.42, and $1.65 over the last 5 years, respectively. What is the geometric average dividend growth rate?
  3. Smith Foods just paid an annual dividend of $2.00 a share. Management estimates the dividend will increase by 20 percent a year for the next three years. After that, the annual dividend growth rate is estimated at 5 percent. The required rate of return is 15 percent. What is the value of this stock today?
  4. The Marco has current earnings per share of $5.00 and an expected earnings growth rate of 5 percent. The required return on the stock is 14 percent and the current book value per share is $12. What is the current market value of this stock?
  5. A stock fund has a standard deviation of 17 percent and a bond fund has a standard deviation of 8 percent. The correlation of the two funds is 0.11. What is the approximate weight of the stock fund in the minimum variance portfolio?

A portfolio consists of the following securities. What is the portfolio weight of stock B?

Stock # of shares Price per share
A 200 $50
B 150 $28
C 350 $21

Peter has a portfolio comprised of $8,000 of stock A and $12,000 of stock B. What is the standard deviation of this portfolio?

State Probability Stock A Stock B
Boom 0.80 11% 15%
Normal 0.20 -6% -19%

What is the standard deviation of the returns on this stock?

State of Economy Probability Expected Return
Boom 0.20 24%
Normal 0.60 12%
Recession 0.20 -20%

What is the variance (NOT the standard deviation) of the expected returns on this stock?

State of Economy Probability Expected Return
Boom 0.4 15%
Recession 0.6 19%

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