Portfolio Management - Portfolio Management Section 1

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1. You are advising three clients of whom Eliyahu Goldratt is the most riskaverse. According to the utility theory, the indifference curve for Goldratt will most likely be the one with the:

  • Option : A
  • Explanation : The most risk-averse investor has the indifference curve with the greatest slope.
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2. Which of the following statements about risk-averse investors is least accurate? A risk-averse investor:

  • Option : C
  • Explanation : Risk-averse investors are generally willing to invest in risky investments, if the return on the investment is sufficient to reward the investor for taking on this risk. Participants in securities markets are generally assumed to be risk-averse investors.
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3. Selected information about shares of two companies is provided below:

 ABC Corporation XYZ Corporation
Standard deviation  25%30%
Correlation of returns 0.24
Portfolio weights 40%60%

  • Option : B
  • Explanation : Portfolio standard deviation = √ (0.25)² (0.4)² + (0.3)² (0.6)² + 2 (0.24) (0.4) (0.6) (0.25) (0.3) = 0.2259.
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4. An analyst studies an investment portfolio with stocks of Company ABC and Company JKL. He wishes to compute the correlation of returns between the stocks. However, the only bits of information available include the following data.

Stock  Standard DeviationPortfolio Weights
ABC  36%40%
JKL 27%60%

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5. The following data is available:

Expected ReturnStandard DeviationRisk aversion coefficient
15%  27%4

  • Option : C
  • Explanation : U = E(r) – 0.5Aσ² U = 0.15 – 0.5 * 4 * 0.27² = 0.0042
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