Question
Excel Online Structured Activity: Evaluating risk and return Stock X has a 9.5% expected return, a beta coefficient of 0.8, and a 30% standard deviation
Excel Online Structured Activity: Evaluating risk and return
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 30.0% standard deviation. The risk-free rate is 6%, and the market risk premium is 5%. The data has been collected in the Microsoft Excel Online file below. Open the spreadsheet and perform the required analysis to answer the questions below.
Evaluating risk and return | |||
Expected return of Stock X | 9.50% | ||
Beta coefficient of Stock X | 0.80 | ||
Standard deviation of Stock X returns | 30.00% | ||
Expected return of Stock Y | 12.00% | ||
Beta coefficient of Stock Y | 1.10 | ||
Standard deviation of Stock Y returns | 30.00% | ||
Risk-free rate (rRF) | 6.00% | ||
Market risk premium (RPM) | 5.00% | ||
Dollars of Stock X in portfolio | $7,500.00 | ||
Dollars of Stock Y in portfolio | $5,500.00 | ||
Formulas | |||
Coefficient of Variation for Stock X | #N/A | ||
Coefficient of Variation for Stock Y | #N/A | ||
Riskier stock to a diviersified investor | #N/A | ||
Required return for Stock X | #N/A | ||
Required return for Stock Y | #N/A | ||
Stock more attractive to a diversified investor | #N/A | ||
"Required return of portfolio containing Stocks X and Y in amounts above" | #N/A | ||
New market risk premium | 6.00% | ||
With new market risk premium, stock with larger increase in required return | #N/A | ||
Check: | |||
New required return, Stock X | #N/A | ||
Change in required return, Stock X | #N/A | ||
New required return, Stock Y | #N/A | ||
Change in required return, Stock Y | #N/A | ||
Stock with greater change in required return | #N/A |
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Calculate each stock's coefficient of variation. Round your answers to two decimal places. Do not round intermediate calculations.
CVx =
CVy =
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Which stock is riskier for a diversified investor?
- For diversified investors the relevant risk is measured by standard deviation of expected returns. Therefore, the stock with the higher standard deviation of expected returns is more risky. Stock X has the higher standard deviation so it is more risky than Stock Y.
- For diversified investors the relevant risk is measured by beta. Therefore, the stock with the lower beta is more risky. Stock X has the lower beta so it is more risky than Stock Y.
- For diversified investors the relevant risk is measured by standard deviation of expected returns. Therefore, the stock with the lower standard deviation of expected returns is more risky. Stock Y has the lower standard deviation so it is more risky than Stock X.
- For diversified investors the relevant risk is measured by beta. Therefore, the stock with the higher beta is less risky. Stock Y has the higher beta so it is less risky than Stock X.
- For diversified investors the relevant risk is measured by beta. Therefore, the stock with the higher beta is more risky. Stock Y has the higher beta so it is more risky than Stock X.
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Calculate each stock's required rate of return. Round your answers to two decimal places.
rx = %
ry = %
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On the basis of the two stocks' expected and required returns, which stock would be more attractive to a diversified investor?
_________Stock XStock Y
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Calculate the required return of a portfolio that has $7,500 invested in Stock X and $5,500 invested in Stock Y. Do not round intermediate calculations. Round your answer to two decimal places.
rp = %
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If the market risk premium increased to 6%, which of the two stocks would have the larger increase in its required return?
_________Stock XStock Y
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