State of Economy Probability of State of EconomyStock I Recession Normal Irrational exuberance.10 .35 .55 Rate of Return if State Occurs Stock II -.16 .14 .21 d. Which stock has the most unsystematic risk? e. Which stock is "riskier"? .05 .11 .15 The market risk premium is 10 percent and the risk-free rate is 5 percent. a. What is the beta for each stock? b. Which stock has the most systematic risk? C. What is the standard deviation for each stock?
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- The standard deviation of stock returns for Stock A is 40%. The standard deviation of the market return is 20%. If the correlation between Stock A and the market is 0.70, then what is Stock A’s beta?K (Expected rate of return and risk) Syntex, Inc. is considering an investment in one of two common stocks. Given the information that follows, which investment is better, based on the risk (as measured by the standard deviation) and return? Common Stock A Probability 0.20 0.60 0.20 Common Stock B Return 13% 17% 18% Probability 0.10 0.40 0.40 0.10 (Click on the icon in order to copy its contents into a spreadsheet.) Return -7% 5% 16% 21% www a. Given the information in the table, the expected rate of return for stock A is 16.40 %. (Round to two decimal places.) The standard deviation of stock A is 1.74 %. (Round to two decimal places.) b. The expected rate of return for stock B is 9.8 %. (Round to two decimal places.) The standard deviation for stock B is 6.12 %. (Round to two decimal places.)b. Consider the following information about three stocks: Probability of State of i. ii. iii. iv. State of Economy V. Boom Recession Economy 0.40 0.60 From the information given, you are required to answer the following questions. Compute the Standard Deviation for each stock. Compute the Coefficient Variation for each stock. Based on your computation in part (i) and (ii), which stock is riskier? Explain your answer. Rate of Return if State Occurs Stock Hang Stock Hang Jebat 7% 13% Tuah 28% (5%) Stock Hang Kasturi 15% 3% Assume that you have RM14,000 invested in Stock Hang Jebat whose beta is 1.5, RM19,000 invested in Stock Hang Kasturi whose beta is 2.5 and RM17,000 invested in Stock Hang Tuah whose beta is 1.6. Determine what is the beta of this portfolio. Based on your answer in part (iv), compute the required rate of return for this portfolio, given that the market rate of return is 13% and risk-free rate is 5%.
- You are comparing Stock A to Stock B. Given the following information, what is the difference in the expected returns of these two securities? State of Economy Probability of State of Economy Rate of Return if State Occurs Stock A Stock B Normal .75 .13 .16 Recession .25 −.05 −.21Consider information given in the table below and answers the question asked thereafter: State Probability return on stock A Return on stock B A 0.15 10% 9% B 0.15 6% 15% C 0.10 20% 10% D 0.18 5% -8% E 0.12 -10% 20% F 0.30 8% 5% i. Calculate expected return on each stock? On the basis of this measure, which stockyou will choose?ii. Calculate standard deviation of the returns on each stock? On the basis of thismeasure, which stock you will choose?iii. Calculate coefficient of variance of the returns on each stock? On the basis of thismeasure, which stock you will choose?Consider the following information: State of Economy Probability of State of Economy Rate of Return if State Occurs Stock A Stock B Recession 0.30 0.05-0.15 Normal 0.55 0.15 0.15 Boom 0.15 0.20 0.35 Calculate the expected return for the two stocks.
- What is the standard deviation of stock A if it has the following probabilities and rate of returns. Probability Return 0.3 -5% 0.4 14% 0.3 11% a. 9.11% b. 9.40% c. 8.62% d. 8.21%Consider information given in the table below and answers the question asked thereafter: State Probability return on stock A Return on stock B A 0.15 10% 9% B 0.15 6% 15% C 0.10 20% 10% D 0.18 5% -8% E 0.12 -10% 20% F 0.30 8% 5% Calculate covariance and coefficient of correlation between the returns of thestocks A and B.v. Now suppose you have $100,000 to invest and you want to a hold a portfoliocomprising of $45,000 invested in stock A and remaining amount in stock B.Calculate risk and return of your portfolio.a. Based on the following information, calculate the expected return and standard deviation for each of the following stocks. What are the covariance and correlation between the returns of the two stocks? Calculate the portfolio return and portfolio standard deviation if you invest equally in each asset. Returns State of Economy Prob K Recession 0.25 -0.02 0.034 Normal 0.6 0.138 0.062 Boom 0.15 0.218 0.092 b. A portfolio that combines the risk-free asset and the market portfolio has an expected return of 7 percent and a standard deviation of 10 percent. The risk-free rate is 4 percent, and the expected return on the market portfolio is 12 percent. Assume the capital asset pricing model holds. What expected rate of return would a security earn if it had a .45 correlation with the market portfolio and a standard deviation of 55 percent? c. Suppose the risk-free rate is 4.2 percent and the market portfolio has an expected return of 10.9 percent. The market portfolio has a variance of…
- Consider the rate of return of stocks ABC and XYZ. Year rABC rXYZ 1 20 % 28 % 2 8 11 3 16 19 4 4 1 5 2 −9 (PLEASE SKIP THE FIRST THREE QUESTIONS) a. Calculate the arithmetic average return on these stocks over the sample period. b. Which stock has greater dispersion around the mean return? multiple choice A. ABC B. XYZ c. Calculate the geometric average returns of each stock. What do you conclude? (Do not round intermediate calculations. Round your answers to 2 decimal places.) d. If you were equally likely to earn a return of 20%, 8%, 16%, 4%, or 2%, in each year (these are the five annual returns for stock ABC), what would be your expected rate of return? (Do not round intermediate calculations.) e. What if the five possible outcomes were those of stock XYZ? f. Given your answers to (d) and (e), which measure of average return, arithmetic or geometric, appears more useful for predicting future…Consider the following information about three stocks: Rate of Return If State Occurs Probability of State of Economy .25 State of Economy Stock A Stock B Stock C Вoom .13 .29 .60 Normal .60 .08 .11 .13 Bust .15 .02 -18 -45 a-1.lf your portfolio is invested 40 percent each in A and B and 20 percent in C, what is the portfolio expected return? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) a- What is the variance? (Do not round intermediate calculations and round 2. your answer to 5 decimal places, e.g., .16161.) a- What is the standard deviation? (Do not round intermediate calculations and enter 3. your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b. If the expected T-bill rate is 3.70 percent, what is the expected risk premium on the portfolio? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) c-1. If the expected inflation rate…Consider the following information about Stocks X and Y: State of Economy Probability of State Stock X Returns Stock Y Returns Recession 0.15 0.11 -0.25 Steady 0.55 0.18 0.11 Boom 0.30 0.08 0.31 The market risk premium is 7.5 percent, and the risk-free rate is 4 percent. Which stock has the most systematic risk? Which one has the most unsystematic risk? Which stock is “riskier”? Explain.