Risk-Return Problems
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1 Risk-Return Problems 7. Calculating Returns and Deviations Based on the following information, calculate the expected return and standard deviation for the two stocks. Find covariance and correlation between the two stocks. Answer: AB = 0.0103 AB = 0.9953 State ofEconom y Probability ofState Stock A Return Stock B Return Recession 0.15 0.02 -0.15 Norm al 0.60 0.09 0.18 Boom 0.25 0.18 0.50
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Risk-Return Problems. 7. Calculating Returns and Deviations Based on the following information, calculate the expected return and standard deviation for the two stocks. Find covariance and correlation between the two stocks. Answer: AB = 0.0103 AB = 0.9953. Risk-Return Problems. - PowerPoint PPT Presentation
Transcript of Risk-Return Problems
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Risk-Return Problems
7. Calculating Returns and Deviations Based on the following information, calculate the expected return and standard deviation for the two stocks. Find covariance and correlation between the two stocks.
Answer: AB = 0.0103
AB= 0.9953
State of Economy Probability of State Stock A Return Stock B Return Recession 0.15 0.02 -0.15 Normal 0.60 0.09 0.18 Boom 0.25 0.18 0.50
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Risk-Return Problems
10. Returns and Deviations Consider the following information:
a. Your portfolio is invested 30 percent in A and C, and 40 percent in B. What is the portfolio expected return?
b. What is the variance of this portfolio? The standard deviation?Answer:E(kP)= 0.08765
2P = 0.008338
P = 0.091
State of Economy Probability of State Stock A Return Stock B Return Stock C Return Boom 0.20 0.10 0.20 0.35 Good 0.50 0.07 0.10 0.15 Poor 0.25 0.04 0.00 -0.05 Bust 0.05 0.00 -0.08 -0.40
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Risk-Return Problems
30. Portfolio Returns and Deviations Given the following information on a portfolio of three stocks:
a. If your portfolio is invested 30 percent in A and B and 40 percent in C, what is the portfolio expected return? The variance? The standard deviation?b. If the expected T-bill rate is 5.25 percent, what is the expected risk premium on the portfolio?c. If the expected inflation rate is 5 percent, what is the expected real return on the portfolio? What is the expected real risk premium on the portfolio?Answer: a) expected return=0.1875 standard deviation=0.2426 b)premium=0.135 c)portfolio expected real return=0.13095 real premium=0.12857
State of Economy Probability of State Stock A Return Stock B Return Stock C Return Boom 0.20 0.20 0.30 1.00 Normal 0.70 0.10 0.05 0.30 Bust 0.10 0.00 -0.20 -0.80
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Risk-Return Problems
32. Analyzing a Portfolio You have $100,000 to invest in either Stock D, Stock F, or a risk-free asset. You must invest all of your money. Your goal is to create a portfolio that has an expected return of 10 percent and is only 60 percent as risky as the overall market. If D has an expected return of 20 percent and a beta of 1.5, F has an expected return of 15 percent and a beta of 1.15 and the risk-free rate is 5 percent, how much money will you invest in F?
Answer: $66,667 investment in F
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Risk-Return Problems
33. Systematic versus Unsystematic Risk Given the following information on stocks A and B:
The market risk premium is 8 percent and the risk-free rate is 6 percent. Which stock has the most systematic risk? Which one has the most unsystematic risk? Which stock is “riskier”? Explain.Answer: A has more systematic risk
B has more unsystematic risk
State of Economy Probability of State Stock A Return Stock B Return Recession 0.15 0.14 -0.18 Normal 0.60 0.24 0.10 Boom 0.25 0.28 0.40
