Investment Analysis (FIN 670) Fall 2009 Homework 5 Instructions: please read carefully • You should show your work how to get the answer for each calculation question to get full credit • The due date is Tuesday, November 10, 2009. Late homework will not be graded. Name(s): Student ID1. Compute the expected return for a three-stock portfolio with the following: a. 13.3% b. 14.6% c. 29.3% d. 32.4% 1. b 10*0.2 + 12*0.3 + 18*0.5 = 14.6 2. A portfolio is considered to be efficient if ______________. a. there is no other portfolio with a higher expected return b. there is no other portfolio with a lower risk c. there is no other portfolio offers a higher expected return with a higher risk d. there is no other portfolio offers a lower risk with the same expected return 2. d 3. Which of the following is (are) most correct concerning a two-stock portfolio? a. The portfolio should have no company specific risk. b. Portfolio standard deviation can never be a weighted average of the two stocks' standard deviations. c. Portfolio return is a weighted average of the two stocks' returns. d. All of the above are correct. 3. c 4. The maximum benefit of diversification can be achieved by combining securities in a portfolio where the correlation coefficient between the securities is ______________. a. between 0 and -1 b. 0 c. -1 d. +1 4. c 5. A portfolio is composed of two stocks, A and B. Stock A has a standard deviation of return of 20% while stock B has a standard deviation of return of 30%. Stock A comprises 40% of the portfolio while stock B comprises 60% of the portfolio. What is the standard deviation of return on the portfolio if the correlation coefficient between the returns on A and B is 0.5? a. 23.1% b. 25% c. 26% d. 24.7% 5. a )5)(.3)(.2)(.6)(.4(.2)3(.)6(.)2(.)4(.22222++=σ 0532.2=σ 231.=σ6. A portfolio is composed of two stocks, A and B. Stock A has an expected return of 10% while stock B has an expected return of 18%. What is the proportion of stock A in the portfolio so that the expected return of the portfolio is 16.4%? a. 0.2 b. 0.8 c. 0.4 d. 0.6 6. a E(Rp) = (Wa)E(Ra) + (1-Wa)E(Rb) 0.164 = Wa(0.10) + (1-Wa)(0.18) Wa = 0.2 7. Which of the following portfolios cannot lie on the efficient frontier? a. Portfolio X b. Portfolio Y c. Portfolio Z d. All portfolios should lie on the efficient frontier. 7. b 8. The standard deviation of return on stock A is 0.25 while the standard deviation of return on stock B is 0.30. If the covariance of returns on A and B is 0.06, the correlation coefficient between the returns on A and B is ______________. a. 0.2 b. 0.6 c. 0.7 d. 0.8 8. d .830)].06/[.25(.nCorrelatio == 9. Careful selection of different stocks from different industries can eliminate the ______________ risk of a portfolio. a. Nonsystematic b. Market c. Total d. All of the above. 9. a 10. A positive covariance between two stocks' returns indicates that the two stocks' returns ______________. a. move in opposite direction b. move in the same direction c. have the same risk d. have no relationship10. b 11. What happens typically to the portfolio's risk when more stocks are added to a 5-stock portfolio? a. The portfolio's market risk would decrease. b. The portfolio's total risk would decline. c. The portfolio's unsystematic would decrease. d. Both B and C above are correct. 11. d 12. Which of the following statements are correct concerning diversifiable risks? I. Diversifiable risks can be essentially eliminated by investing in several unrelated securities. II. The market rewards investors for diversifiable risk by paying a risk premium. III. Diversifiable risks are generally associated with an individual firm or industry. IV. Beta measures diversifiable risk. a. I and III only b. II and IV only c. I and IV only d. II and III only e. I, II, and III only 12. a 13. Which of the following statements concerning nondiversifiable risk are correct? I. Nondiversifiable risk is measured by standard deviation. II. Systematic risk is another name for nondiversifiable risk. III. The risk premium increases as the nondiversifiable risk increases. IV. Nondiversifiable risks are those risks you can not avoid if you are invested in the financial markets. a. I and III only b. II and IV only c. I, II, and III only d. II, III, and IV only e. I, II, III, and IV 13. d 14. Which one of the following is an example of a nondiversifiable risk? a. a well respected president of a firm suddenly resigns b. a well respected chairman of the Federal Reserve suddenly resigns c. a key employee of a firm suddenly resigns and accepts employment with a key competitor d. a well managed firm reduces its work force and automates several jobs e. a poorly managed firm suddenly goes out of business due to lack of sales 14. b15. Which of the following risks are relevant to a well-diversified investor? I. systematic risk II. unsystematic risk III. market risk IV. nondiversifiable risk a. I and III only b. II and IV only c. II, III, and IV only d. I, II, and IV only e. I, III, and IV only 15. e 16. Which one of the following is an example of systematic risk? a. the price of lumber declines sharply b. airline pilots go on strike c. the Federal Reserve increases interest rates d. a hurricane hits a tourist destination e. people become diet conscious and avoid fast food restautants 16.c 17. Which one of the following is an example of unsystematic risk? a. the inflation rate increases unexpectedly b. the federal government lowers income taxes c. an oil tanker runs aground and spills its cargo d. interest rates decline by one-half of one percent e. the GDP rises by 2 percent more than anticipated 17. c 18. Which of the following actions help eliminate unsystematic risk in a portfolio? I. spreading the retail industry portion of a portfolio over five separate stocks II. combining stocks with bonds in a portfolio III. adding some international securities into a portfolio of U.S. stocks IV. adding some U.S. Treasury bills to a risky portfolio a. I and III only b. I, II, and IV only c. I, III, and IV only d. II, III, and IV only e. I, II, III, and IV 18. e19. All things equal, diversification is most effective when a. securities' returns are positively correlated. b.