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77) Assuming a risk-free rate of 8 percent and a market return of 12 percent, would a wise
investor acquire a security with a beta of 1.5 if its expected return were 14 percent?
Answer: r = RF + b(rm – RF)
= 0.08 + 1.5(0.12 – 0.08) = 0.14 = 14%
Yes, a security with a beta of 1.5 should yield 14 percent rate of return.
Diff: 1
Topic: The Model: CAPM
Learning Obj.: LG 6
Learning Outcome: F-11
AACSB: Analytical Thinking
78) Suppose the CAPM is true. Asset X has a standard deviation of 25%. The risk-free asset, by
definition, has a standard deviation of 0%. Therefore, the expected return on asset X must exceed
the risk-free rate.
Answer: FALSE
Diff: 2
Topic: The Model: CAPM
Learning Obj.: LG 6
Learning Outcome: F-11
AACSB: Reflective Thinking
79) Suppose the CAPM is true. Asset X has a standard deviation of 20%, and Asset Y has a
standard deviation of 30%. Asset Y’s expected return must exceed that of Asset X.
Answer: FALSE
Diff: 2
Topic: The Model: CAPM
Learning Obj.: LG 6
Learning Outcome: F-11
AACSB: Reflective Thinking
80) Dr. Dan is considering investing in a project with beta coefficient of 1.75. What would you
recommend him to do if this investment has an 11.5 percent rate of return, the risk-free rate is 5.5
percent, and the rate of return on the market portfolio of assets is 8.5 percent?
Answer: r = RF + b(rm – RF)
= 0.055 + 1.75(0.085 – 0.055) = 0.108 = 10.75%
Dr. Dan should invest in the project because the project’s actual rate of return (11.5 percent) is
greater than the project’s required rate of return (10.8 percent).
Diff: 1
Topic: The Model: CAPM
Learning Obj.: LG 6
Learning Outcome: F-11
AACSB: Analytical Thinking