Question

Stock X has a 10% expected return, a beta coefficient of 0.9, and a 35% standard deviation of expected returns. Stock Y has a 12.5% expected return, a beta coefficient of 1.2, and a 25% standard deviation. The risk-free rate is 6%, and the market risk premium is 5%.

a. Calculate each stock’s coefficient of variation.

b. Which stock is riskier for a diversified investor?

c. Calculate each stock’s required rate of return.

d. On the basis of the two stocks’ expected and required returns, which stock would be more attractive to a diversified investor?

e. Calculate the required return of a portfolio that has $7,500 invested in Stock X and $2,500 invested in Stock Y.

f. If the market risk premium increased to 6%, which of the two stocks would have the larger increase in its required return?

Answer #1

Stock X has a 10% expected return, a beta coefficient of 0.9,
and a 35% standard deviation of expected returns. Stock Y has a
12.5% expected return, a beta coefficient of 1.2, and a 25%
standard deviation. The risk-free rate is 6%, and the market risk
premium is 5%.
a. Calculate each stock’s coefficient of variation.
b. Which stock is riskier for a diversified investor?
c. Calculate each stock’s required rate of return.
d. On the basis of the two...

Stock X has a 10.0% expected return, a beta coefficient of 0.9,
and a 40% standard deviation of expected returns. Stock Y has a
13.0% expected return, a beta coefficient of 1.3, and a 20%
standard deviation. The risk-free rate is 6%, and the market risk
premium is 5%.
Calculate each stock's coefficient of variation. Do not round
intermediate calculations. Round your answers to two decimal
places.
CVx =
CVy =
Which stock is riskier for a diversified investor?
For...

Stock X has a 9.0% expected return, a beta coefficient of 0.7,
and a 35% standard deviation of expected returns. Stock Y has a
13.0% expected return, a beta coefficient of 1.3, and a 25%
standard deviation. The risk-free rate is 6%, and the market risk
premium is 5%.
Calculate each stock's coefficient of variation. Do not round
intermediate calculations. Round your answers to two decimal
places.
CVx =
CVy =
Which stock is riskier for a diversified investor?
For...

Stock X has a 10.0% expected return, a beta coefficient of 0.9,
and a 35% standard deviation of expected returns. Stock Y has a
12.0% expected return, a beta coefficient of 1.1, and a 25.0%
standard deviation. The risk-free rate is 6%, and the market risk
premium is 5%.
Calculate each stock's coefficient of variation. Round your
answers to two decimal places. Do not round intermediate
calculations.
CVx =
CVy =
Which stock is riskier for a diversified investor?
For...

Stock X has a 10.5% expected return, a beta coefficient of 1.0,
and a 35% standard deviation of expected returns. Stock Y has a
12.5% expected return, a beta coefficient of 1.2, and a 20.0%
standard deviation. The risk-free rate is 6%, and the market risk
premium is 5%. Calculate each stock's coefficient of variation.
Round your answers to two decimal places. Do not round intermediate
calculations. CVx = CVy = Which stock is riskier for a diversified
investor? For...

Stock X has a 9.5% expected return, a beta coefficient of 0.8,
and a 35% standard deviation of expected returns. Stock Y has a
12.5% expected return, a beta coefficient of 1.2, and a 30.0%
standard deviation. The risk-free rate is 6%, and the market risk
premium is 5%.
Calculate each stock's coefficient of variation. Round your
answers to two decimal places. Do not round intermediate
calculations.
CVx = _____
CVy = _____
Which stock is riskier for a diversified...

Stock X has a 10.5% expected return, a beta coefficient of 1.0,
and a 35% standard deviation of expected returns. Stock Y has a
12.0% expected return, a beta coefficient of 1.1, and a 30.0%
standard deviation. The risk-free rate is 6%, and the market risk
premium is 5%.
Calculate each stock's coefficient of variation. Round your
answers to two decimal places. Do not round intermediate
calculations.
CVx =
CVy =
Which stock is riskier for a diversified investor?
For...

Stock X has a 9.5% expected return, a beta coefficient of 0.8,
and a 30% standard deviation of expected returns. Stock Y has a
12.0% expected return, a beta coefficient of 1.1, and a 25.0%
standard deviation. The risk-free rate is 6%, and the market risk
premium is 5%.
Calculate each stock's coefficient of variation. Round your
answers to two decimal places. Do not round intermediate
calculations.
CVx =
CVy =
Which stock is riskier for a diversified investor?
For...

Stock X has a 10.5% expected return, a beta coefficient of 1.0,
and a 30% standard deviation of expected returns. Stock Y has a
12.0% expected return, a beta coefficient of 1.1, and a 30.0%
standard deviation. The risk-free rate is 6%, and the market risk
premium is 5%.
Calculate each stock's coefficient of variation. Round your
answers to two decimal places. Do not round intermediate
calculations.
CVx =
CVy =
Which stock is riskier for a diversified investor?
For...

Suppose you collect the information of two
stocks:
Expected Return
Standard Deviation
Beta
Stock A
13%
15%
1.6
Stock B
9.2%
25%
1.1
a. If you have a well-diversified portfolio of 50 stocks and you
are considering adding either Stock A or B to that portfolio, which
one is a riskier addition and why?
If you are a new investor looking for your first stock investment,
which is a riskier investment for you and why?
b. If the...

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