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FINANCE 571 WEEK 5 QUIZ. its a 25 question quiz quiz.docx Unformatted Attachment Preview Quiz: 1. A mutual fund manager expects her portfolio to earn a rate of return of 14\% this year. The beta of her portfolio is 0.8. The rate of return available on risk-free assets is 7\% and you expect the rate of return on the market portfolio to be 17\%. What expected rate of return would you demand before you would be willing to invest in this mutual fund? (Do not round intermediate calculations. Enter your answer as a whole percent.) Expected rate of return \% 2. A share of stock with a beta of 0.66 now sells for $41. Investors expect the stock to pay a yearend dividend of $4. The T-bill rate is 5\%, and the market risk premium is 8\%. If the stock is perceived to be fairly priced today, what must be investors’ expectation of the price of the stock at the end of the year? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Stock price 3. We Do Bankruptcies is a law firm that specializes in providing advice to firms in financial distress. It prospers in recessions when other firms are struggling. Consequently, its beta is negative, −0.2. a. If the interest rate on Treasury bills is 4\% and the expected return on the market portfolio is 14\%, what is the expected return on the shares of the law firm according to the CAPM? (Enter your answer as a whole percent.) Expected return \% b. Suppose you invested 90\% of your wealth in the market portfolio and the remainder of your wealth in the shares in the law firm. What would be the beta of your portfolio? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Beta 4. A stock with a beta of 1.8 has an expected rate of return of 16\%. If the market return this year turns out to be 6 percentage points below expectations, what is your best guess as to the rate of return on the stock? (Do not round intermediate calculations. Enter your answer as a percent rounded to 1 decimal place.) Stock return \% 5. A project under consideration has an internal rate of return of 13\% and a beta of 0.8. The risk-free rate is 3\%, and the expected rate of return on the market portfolio is 13\%. a. What is the required rate of return on the project? (Do not round intermediate calculations. Enter your answer as a whole percent.) b. Should the project be accepted? c. What is the required rate of return on the project if its beta is 1.80? (Do not round intermediate calculations. Enter your answer as a whole percent.) d. If projects beta is 1.80, should the project be accepted? a Required rate of return b Accept the project c Required rate of return d Accept the projecct \% \% 6. You are considering the purchase of real estate that will provide perpetual income that should average $51,000 per year. How much will you pay for the property if you believe its market risk is the same as the market portfolio’s? The T-bill rate is 4\%, and the expected market return is 8.5\%. Property value 7. The Treasury bill rate is 4\% and the market risk premium is 9\%. Project Beta Internal Rate of Return, \% P 1.05 14 Q 0.00 12 R 2.00 22 S 0.45 13 T 1.20 24 a. What are the project costs of capital for new ventures with betas of 0.80 and 1.24? (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.) Beta Cost of capital 0.8 \% 1.24 \% b. Which of the capital investments shown above have positive (non-zero) NPVs? (You may select more than one answer. Single click the box with the question mark to produce a check mark for a correct answer and double click the box with the question mark to empty the box for a wrong answer.) • • • • • Project P Project Q Project S Project T Project R 8. Top hedge fund manager Sally Buffit believes that a stock with the same market risk as the S&P 500 will sell at year-end at a price of $40. The stock will pay a dividend at year-end of $3.00. Assume that risk-free Treasury securities currently offer an interest rate of 1.5\%. Average rates of return on Treasury bills, government bonds, and common stocks, 1900–2017 (figures in percent per year) are as follows. Portfolio Treasury bills Treasury bonds Common stocks Average Annual Rate of Return (\%) 3.8 5.3 11.5 Average Premium (Extra return versus Treasury bills) (\%) 1.5 7.7 a. What is the discount rate on the stock? (Enter your answer as a percent rounded to 2 decimal places.) Discount rate \% b. What price should she be willing to pay for the stock today? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Stock price 9. Assume these are the stock market and Treasury bill returns for a 5-year period: Year Stock Market Return (\%)T-Bill Return (\%) 2013 34.30 0.15 2014 14.00 0.15 2015 −3.90 0.15 2016 15.10 0.10 2017 24.50 0.12 Required: a. What was the risk premium on common stock in each year? b. What was the average risk premium? c. What was the standard deviation of the risk premium? (Ignore that the estimation is from a sample of data.) Complete this question by entering your answers in the tabs below. • Required A What was the risk premium on common stock in each year? (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.) Year Risk premium 2013 \% 2014 \% 2015 \% 2016 \% 2017 \% • Required B What was the average risk premium? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) Average risk premium \% • Required C What was the standard deviation of the risk premium? (Ignore that the estimation is from a sample of data.) (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) Standard deviation \% 10. A stock is selling today for $75 per share. At the end of the year, it pays a dividend of $3 per share and sells for $84. Required: a. What is the total rate of return on the stock? b. What are the dividend yield and percentage capital gain? c. Now suppose the year-end stock price after the dividend is paid is $69. What are the dividend yield and percentage capital gain in this case? Complete this question by entering your answers in the tabs below. • Required A What is the total rate of return on the stock? (Enter your answer as a whole percent.) Rate of return \% • Required B What are the dividend yield and percentage capital gain? (Enter your answers as a whole percent.) Dividend yield \% Capital gain yield \% • Required C Now suppose the year-end stock price after the dividend is paid is $69. What are the dividend yield and percentage capital gain in this case? (Negative amounts should be indicated by a minus sign. Enter your answers as a whole percent.) 11. end. Dividend yield \% Capital gain yield \% You purchase 100 shares of stock for $50 a share. The stock pays a $4 per share dividend at year- a. What is the rate of return on your investment if the end-of-year stock price is (i) $46; (ii) $50; (iii) $55? (Leave no cells blank - be certain to enter 0 wherever required. Enter your answers as a whole percent.) Stock price Date of return 46 \% 50 \% 55 \% b. What is your real (inflation-adjusted) rate of return if the inflation rate is 6\%? (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. Negative amounts should be indicated by a minus sign.) Stock price Real rate of return 46 \% 50 \% 55 \% 12. Consider the following scenario analysis: Rate of Return Scenario Probability Stocks Bonds Recession 0.20 −8\% 19\% Normal economy 0.50 20\% 10\% Boom 0.30 25\% 6\% a. Is it reasonable to assume that Treasury bonds will provide higher returns in recessions than in booms? • No • Yes b. Calculate the expected rate of return and standard deviation for each investment. (Do not round intermediate calculations. Enter your answers as a percent rounded to 1 decimal place.) Expected rate Standard deviation of return Stocks \% \% bonds \% \% c. Which investment would you prefer? Stock bond Which investment would you prefer 13. In a recent 5-year period, mutual fund manager Diana Sauros produced the following percentage rates of return for the Mesozoic Fund. Rates of return on the market index are given for comparison. Fund Market index 1 −1.2 −0.8 2 +23.4 +15.0 3 +41.3 +30.8 4 +10.3 +11.6 5 +0.3 −0.6 a. Calculate (a) the average return on both the Fund and the index, and (b) the standard deviation of the returns on each. (Do not round intermediate calculations. Round your answers to 2 decimal places.) b. Did Ms. Sauros do better or worse than the market index on these measures? Mesozoic fund Market return portfolio return A Average return Standard deviation B 14. Did Ms sauros do better or worst than the marker index on these measures? In a recent 5-year period, mutual fund manager Diana Sauros produced the following percentage rates of return for the Mesozoic Fund. Rates of return on the market index are given for comparison. Fund Market index 1 −1.2 −0.8 2 +23.4 +15.0 3 +41.3 +30.8 4 +10.3 +11.6 5 +0.3 −0.6 a. Calculate (a) the average return on both the Fund and the index, and (b) the standard deviation of the returns on each. (Do not round intermediate calculations. Round your answers to 2 decimal places.) b. Did Ms. Sauros do better or worse than the market index on these measures? 15. Consider the following scenario analysis: Rate of Return Scenario Probability Stocks Bonds Recession 0.3 -6\% 14\% Normal economy 0.5 15 11 Boom 0.2 26 5 Assume a portfolio with weights of 0.60 in stocks and 0.40 in bonds. a. What is the rate of return on the portfolio in each scenario? (Enter your answer as a percent rounded to 1 decimal place.) Rate of return recession \% Normal economy \% Boom \% b. What are the expected rate of return and standard deviation of the portfolio? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) Expected return \% Standard deviation \% c. Would you prefer to invest in the portfolio, in stocks only, or in bonds only? Explain the benefit of diversification. Invest in 16. Here are the returns on two stocks. January February March April May June July August Digital CheeseExecutive Fruit +14 +7 −3 +1 +5 +4 +7 +12 −4 +2 +3 +7 −2 −3 −8 −2 Required: a-1. Calculate the variance and standard deviation of each stock. a-2. Which stock is riskier if held on its own? b. Now calculate the returns in each month of a portfolio that invests an equal amount each month in the two stocks. c. Is the variance more or less than halfway between the variance of the two individual stocks? Complete this question by entering your answers in the tabs below. Calculate the variance and standard deviation of each stock. (Do not round intermediate calculations. Round your answers to 2 decimal places.) Digital cheese return Executive fruit return Variance \% \% Standard deviation \% \% • Req A2 Which stock is riskier if held on its own? Which stock is riskier if held on its own? Now calculate the returns in each month of a portfolio that invests an equal amount each month in the two stocks. (Negative amounts should be indicated by a minus sign. Do not round intermediate calculations. Round your answers to 2 decimal places.) month Portfolio return January Feb March April May June july August • Req C Is the variance more or less than halfway between the variance of the two individual stocks? Is the variance more or less than halfway between the variance of the two individual stocks? 17. A stock with a beta of 0.7 has an expected rate of return of 8\%. If the market return this year turns out to be 6 percentage points below expectations, what is your best guess as to the rate of return on the stock? (Do not round intermediate calculations. Enter your answer as a percent rounded to 1 decimal place.) Stock return 18. \% The risk-free rate is 4\% and the expected rate of return on the market portfolio is 10\%. a. Calculate the required rate of return on a security with a beta of 1.45. (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) Required return \% b. If the security is expected to return 13\%, is it overpriced or underpriced? • Overpriced • Underpriced 19. Consider the following two scenarios for the economy and the expected returns in each scenario for the market portfolio, an aggressive stock A, and a defensive stock D. Scenario Bust Boom Market –9\% 32 Rate of Return Aggressive Defensive Stock A Stock D –12\% –8\% 40 27 Required: a. Find the beta of each stock. b. If each scenario is equally likely, find the expected rate of return on the market portfolio and on each stock. c. If the T-bill rate is 4\%, what does the CAPM say about the fair expected rate of return on the two stocks? d. Which stock seems to be a better buy on the basis of your answers to (a) through (c)? Complete this question by entering your answers in the tabs below. • Required A Find the beta of each stock. (Round your answers to 2 decimal places.) Beta Stock A Stock D • Required B If each scenario is equally likely, find the expected rate of return on the market portfolio and on each stock. (Enter your answers as a whole percent.) Expected Rate of Return Market \% portfolio Stock A \% Stock D \% • Required C If the T-bill rate is 4\%, what does the CAPM say about the fair expected rate of return on the two stocks? (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.) Expected rate of return Stock A \% Stock D \% • Required D Which stock seems to be a better buy on the basis of your answers to (a) through (c)? Better buy 20. A share of stock with a beta of 0.78 now sells for $53. Investors expect the stock to pay a yearend dividend of $5. The T-bill rate is 5\%, and the market risk premium is 8\%. If the stock is perceived to be fairly priced today, what must be investors’ expectation of the price of the stock at the end of the year? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Stock price 21. Suppose that the S&P 500, with a beta of 1.0, has an expected return of 12\% and T-bills provide a risk-free return of 3\%. a. What would be the expected return and beta of portfolios constructed from these two assets with weights in the S&P 500 of (i) 0; (ii) 0.25; (iii) 0.50; (iv) 0.75; (v) 1.0? (Leave no cells blank - be certain to enter 0 wherever required. Do not round intermediate calculations. Enter the value of Expected return as a percentage rounded to 2 decimal places and value of Beta rounded to 2 decimal places.) Expected Return (i) 0 \% (ii) 0.25 \% (iii) 0.50 \% (iv) 0.75 \% (v) 1.0 \% Beta b. How does expected return vary with beta? (Do not round intermediate calculations.) The expected return 22. by \% for a one unit increase in beta. The Treasury bill rate is 7\%, and the expected return on the market portfolio is 12\%. According to the capital asset pricing model: a. What is the risk premium on the market? b. What is the required return on an investment with a beta of 1.6? (Do not round intermediate calculations. Enter your answer as a percent rounded to 1 decimal place.) c. If an investment with a beta of 0.6 offers an expected return of 8.0\%, does it have a positive or negative NPV? d. If the market expects a return of 10.6\% from stock X, what is its beta? (Do not round intermediate calculations. Round your answer to 2 decimal places.) a. Market risk premium \% b. Return on investment \% c. NPV d. Beta 23. A project under consideration has an internal rate of return of 17\% and a beta of 0.5. The risk-free rate is 9\%, and the expected rate of return on the market portfolio is 17\%. a. What is the required rate of return on the project? (Do not round intermediate calculations. Enter your answer as a whole percent.) b. Should the project be accepted? c. What is the required rate of return on the project if its beta is 1.50? (Do not round intermediate calculations. Enter your answer as a whole percent.) d. If projects beta is 1.50, should the project be accepted? a. Required rate of return b. Accept the project c. Required rate of return d. Accept the project 24. \% \% The Treasury bill rate is 2\% and the market risk premium is 8\%. Project Beta Internal Rate of Return, \% P 1.00 12 Q 0.00 8 R 3.00 26 S 0.40 8 T 2.60 28 a. What are the project costs of capital for new ventures with betas of 0.70 and 1.12? (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.) Beta Cost of Capital 0.7 \% 1.12 \% b. Which of the capital investments shown above have positive (non-zero) NPVs? (You may select more than one answer. Single click the box with the question mark to produce a check mark for a correct answer and double click the box with the question mark to empty the box for a wrong answer.) • • • • • 25. Project P Project Q Project S Project T Project R You are considering the purchase of real estate that will provide perpetual income that should average $60,000 per year. How much will you pay for the property if you believe its market risk is the same as the market portfolio’s? The T-bill rate is 4\%, and the expected market return is 12.5\%. Property value ... Purchase answer to see full attachment