3. You have gathered average return and standard deviation data for five stocks (A-E). How have these stocks performed on a risk-versus-return basis? Which one has the best risk-to-reward trade-off? Show your calculations for all five stocks. Annual Return Average Standard deviation Company A 13% 35 B 14% 44 C 9% 18 D 11% 25 E 9% 30
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- 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.QG. The following information is available about the stocks of two companies A and B: Stock A Stock B Expected Return (%) Probability -5 12 15 20 0.05 0.55 0.35 0.05 Expected Return (%) Probability 5 15 18 20 0.05 0.65 0.20 0.10 Stock Standard Deviation of Returns (%) A B 25 35 The coefficient of correlation between the returns on A and B is 0.05. A portfolio is constructed by allocating the funds between A and B in the ratio of 2:3. Calculate the expected return on the portfolio. b. Calculate the portfolio risk.8. (Portfolio of two stocks) The following spreadsheet presents data for stocks A and B. A B C 1 2 RETURN STATISTICS OF STOCKS A AND B Stock A Stock B 3 Average return 15% 10% 4 Variance 0.12 0.07 5 Standard deviation 34.64% 26.46% 6 7 Covariance of return, Cov(AIB) 0.0160 0.1746 <=B7/(B5*C5) a. 8 Correlation of return What are the return and the standard deviation of a portfolio com- posed of 30% of stock A and 70% of stock B? b. What are the return and the standard deviation of an equally weighted portfolio of stocks A and B?
- 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% 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?5. Consider the following information about two stocks (D and E) and two common risk factors (1 and 2): Stock Ba Biz E(R₁) 13.1% D 1.2 3.4 E 2.6 2.6 15.4% a. Assuming that the risk-free rate is 5%, calculate the levels of the factor risk-premium that are consistent with the reported values for the factor betas and the expected returns for the two stocks. b. You expect that in one year the prices of for D and E will be $55 and $36. Neither stock is expected to pay a dividend over the next year. What should the price of each stock be today to be consistent with the expected return levels in the table above? c. Suppose that the risk-premium for Factor 1 that you calculated at point a) suddenly increases by 0.25%, i.c., from x% to (x+0.25)%, where x is the value established at a). What are the new expected returns for D and E? d. If the increase in the Factor 1 risk-premium in c) does not cause a change in opinion about what the stock prices will be in one year, how will the current prices…Consider the following information about two stocks (D and E) and two common risk factors (1 and 2) ba 1.6 2.1 Stock D E ba E(R.) 3.1 14.45% 2.1 13.90% a. Assuming that the risk-free rate is 5.5%, calculate the levels of the factor risk premia that are consistent with the reported values for the factor betas and the expected returns for the two stocks. Round your answers to one decimal place Axt Ax b. You expect that in one year the prices for Stocks D and I will be $51 and $39, respectively. Also, neither stock is expected to pay a dividend over the next year. What should the price of each stock be today to be consistent with the expected return levets listed at the beginning of the problem? Round your answers to the nearest cent. Today's price for Stock D: Today's price for Stock E: S Suppose now that the risk premium for Factor 1 that you calculated in Part a suddenly increases by 0.33% 0e, from x to (-0.35%, where is the value established in Part . What are the new expected returns…
- You run a regression for a stock's return on a market index and find the following Excel output: Multiple R 0.35 R-Square 0.12 Adjusted R-Square 0.02 Standard Error 38.45 Observations 12 Coefficients Standard Error t-Stat p-Value Intercept 4.05 15.44 0.26 0.80 Market 1.32 0.97 1.36 0.10 The stock is ________ riskier than the typical stockThe index model has been estimated using historical excess return data for stocks A, B, and C, with the following results: RA = 0.02 + 0.9RM + eA RB = 0.04 + 1.2RM + eB RC = 0.10 + 1.ORM + eC OM oM = 0.22 o(eA) = 0.21 o(eB ) = 0.11 o(eC ) = 0.23 a. What are the standard deviations of stocks A, B, and C? b. Break down the variances of stocks A, B, and C into their systematic and firm-specific components. c. What is the covariance between the returns on each pair of stocks? d. What is the covariance between each stock and the market index?The index model has been estimated for stocks A and B with the following results: RA = 0.12 + 0.610RM + eA RB = 0.04 + 1.416RM + eB σM = 0.270 σ(eA) = 0.20 σ(eB) = 0.10 What is the covariance between each stock and the market index?
- Suppose that the index model for stocks A and B is estimated from excess returns with the following results:RA = 3% + .7RM + eARB = −2% + 1.2RM + eBσM = 20%; R-squareA = .20; R-squareB = .12What is the covariance between each stock and the market index?Based on the following information: State of Economy Probability of State of Economy Return on Stock J Return on Stock K Bear .20 -.030.024 Normal .55.128.052 Bull .25 .208.082 a. Calculate the expected return for each of the stocks. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) b. Calculate the standard deviation for each of the stocks. ( Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g , 32.16.) c. What is the covariance between the returns of the two stocks? (Do not round intermediate calculations and round your answer to 6 decimal places, e.g., .161616.) d. What is the correlation between the returns of the two stocks? (Do not round intermediate calculations and round your answer to 4 decimal places, e.g., .1616.)b) Suppose that you observe the following information in Table 2 for stocks A and B: Table 2 Expected Return (%) 11% Stock Beta A 0.8 В 14% 1.5 The risk-free rate of return is 6% and the expected rate of return on the market index is 12%. Using the Single-Index Model, calculate the alpha of both stocks. Show your calculations. Explain what the alpha of the single-factor model represents and interpret your results.