# Investment Management Exam Paper

**Topics:**Capital asset pricing model, Modern portfolio theory, Investment

**Pages:**5 (1865 words)

**Published:**November 13, 2012

Use the following to answer questions 2-3: You have been given this probability distribution for the holding period return for XYZ stock:

State of the Economy Boom Normal growth Recession

2.

Probability .30 .50 .20

HPR 18% 12% - 5%

What is the expected holding period return for XYZ stock?

3.

What is the expected standard deviation for XYZ stock?

4.

A T-bill pays 6 percent rate of return. Would risk-averse investors invest in a risky portfolio that pays 12 percent with a probability of 40 percent or 2 percent with a probability of 60 percent? A) Yes, because they are rewarded with a risk premium. B) No, because they are not rewarded with a risk premium. C) No, because the risk premium is small. D) Cannot be determined. E) None of the above

5. In the mean-standard deviation graph, which one of the following statements is true regarding the indifference curve of a risk-averse investor? A) It is the locus of portfolios that have the same expected rates of return and different standard deviations. B) It is the locus of portfolios that have the same standard deviations and different rates of return. C) It is the locus of portfolios that offer the same utility according to returns and standard deviations. D) It connects portfolios that offer increasing utilities according to returns and standard deviations. E) none of the above. 6. Assume an investor with the following utility function: U = E(r) - 3/2(s2). To maximize her expected utility, she would choose the asset with an expected rate of return of _______ and a standard deviation of ________, respectively. A) 12%; 20% B) 10%; 15% C) 10%; 10% D) 8%; 10% E) none of the above Consider a risky portfolio, A, with an expected rate of return of 0.15 and a standard deviation of 0.15, that lies on a given indifference curve. Which one of the following portfolios might lie on the same indifference curve? A) E(r) = 0.15; Standard deviation = 0.20 B) E(r) = 0.15; Standard deviation = 0.10 C) E(r) = 0.10; Standard deviation = 0.10 D) E(r) = 0.20; Standard deviation = 0.15 E) E(r) = 0.10; Standard deviation = 0.20 An investor can choose to invest in T-bills paying 5% or a risky portfolio with end-of-year cash flow of $132,000. If the investor requires a risk premium of 5%, what would she be willing to pay for the risky portfolio? A) $100,000 B) $108,000 C) $120,000 D) $145,000 E) $147,000

7.

8.

9. You invest $100 in a risky asset with an expected rate of return of 0.12 and a standard deviation of 0.15 and a T-bill with a rate of return of 0.05. What percentages of your money must be invested in the risky asset and the risk-free asset, respectively, to form a portfolio with an expected return of 0.09? A) 85% and 15%

B) 75% and 25% C) 67% and 33% D) 57% and 43% E) cannot be determined 10. Beta is the measure of A) firm specific risk. B) diversifiable risk. C) market risk. D) unique risk. E) none of the above. 11. The efficient frontier of risky assets is A) the portion of the investment opportunity set that lies above the global minimum variance portfolio. B) the portion of the investment opportunity set that represents the highest standard deviations. C) the portion of the investment opportunity set which includes the portfolios with the lowest standard deviation. D) the set of portfolios that have zero standard deviation. E) both A and B are true. 12. Consider two perfectly negatively correlated risky securities A and B. A has an expected rate of return of 10% and a...

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