Consider the characteristics of the following three stocks Standard Deviation Thumb Devices Air Comfort Sport Garb Expected Return 14% 11 11 22% 19 18 The correlation between Thumb Devices and Air Comfort is -0.15. The correlation between Thumb Devices and Sport Garb is -0.20. The correlation between Air Comfort and Sport Garb is 0.81. Select only two stocks for your portfolio based on low correlation and low risk.
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- 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.)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.Consider the characteristics of the following three stocks: Expected Return Standard Deviation Thumb Devices 17% 25% Air Comfort Sport Garb 15 20 15 22 The correlation between Thumb Devices and Air Comfort is -0.19. The correlation between Thumb Devices and Sport Garb is -0.15. The correlation between Air Comfort and Sport Garb is 0.71. Select only two stocks for your portfolio based on low correlation and low risk. O Air Comfort and Thumb Devices O Air Comfort and Sport Garb O Sport Garb and Thumb Devices
- Suppose that three stocks (A, B, and C} and two common risk factors (1 and 2) have the following relationship: E(RA) = (1.1)A1 + (0.8)A2 E(RB) = (0.7)A1 + (0.6)A2 E(RC) = (0.3)A1 + (0.4)A2 a. If A1 = 4 percent and A2 = 2 percent, what are the prices expected next year for each of the stocks? Assume that all three stocks currently sell for $30 and will not pay a dividend in the next year. b. Suppose that you know that next year the prices for Stocks A, B, and C will actually be $31.50, $35.00, and $30.50. Create and demonstrate a riskless, arbitrage investment to take advantage of these mispriced securities. What is the profit from your investment? You may assume that you can use the proceeds from any necessary short sale. Problems 13 and 14 refer to the data contained in Exhibit 7.23, which lists 30 monthly excess returns to two different actively managed stock portfolios (A and B) and three different common risk factors (1, 2, and 3). {Note: You may find it…Two-Asset Portfolio Stock A has an expected return of 12% and a standard deviation of 40%. Stock B has an expected return of 18% and a standard deviation of 60%. The correlation coefficient between Stocks A and B is 0.2. What are the expected return and standard deviation of a portfolio invested 30% in Stock A and 70% in Stock B?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…
- 4. Suppose that we have three stocks with the following parameter values. Expected Standard Correlations of Returns Return Deviation Stock 1 Stock 2 Stock 3 Stock 1 0.20 0.25 1.00 0.30 0.40 Stock 2 0.25 0.35 1.00 0.60 Stock 3 0.15 0.15 1.00 (a) Find the expected return and standard deviation of a portfolio with 25% in stock 1, 50% in stock 2, and 25% in stock 3. Show your steps. (b) For the portfolio in part (a), find the covariance of its return with the return of the equally weighted portfolio of stock 1 and stock 2. (Equal weighting for a two-asset portfolio means that the weights are 50% and 50%.) Show your steps. (c) Someone claims that the portfolio in part (a) is the tangency portfolio of these three stocks. (Note that the concept of the tangency portfolio was explained in Class 5.) Do you believe this claim? Justify your answer. Hint: It may be useful to compare the portfolio in part (a) to a portfolio with somewhat different weights.Consider the characteristics of the following three stocks: Expected Return Standard Deviation 13% 25% 14 25 18 30 Pic Image Tax Help Warm Wear The correlation between Pic Image and Tax Help is 0.91. The correlation between Pic Image and Warm Wear is -0.19. The correlation between Tax Help and Warm Wear is -0.23. Select only two stocks for your portfolio based on expected returns and correlation. Pic Image and Warm Wear Tax Help and Warm Wear Tax Help and Pic Imagea. 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…
- The covariance between stocks A and B is 0.0014, standard deviation of stock A is 0.032, and standard deviation of stock B is 0.044. Which of the following is the most appropriate to depict the risk-return characteristics of a portfolio consisting of only stocks A and B, and explain why? E(R) E(R) E(R) В В A A А (A) (B) (C)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 returm and portfolio standard deviation if you invest equally in each asset. Returns State of Economy Prob J 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 percent and a standard deviation of 10 percent. The risk-free rate is 4 percent, and the Page 7 of 33 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 corelation with the market portfolio and a standard deviation of 55 percent? C. Suppose the risk-free rate is 4.2 percent and the market portfolıo has an expected return of 10.9 mercent Tibemadkat normfeliobasiabiamance…16. There are two stocks with the following return and risk values. The correlation between A and B is 0.2. al Expected Standard Return(%) Deviation(%) Stock A 5.5 10 B 7.5 17 What is the standard deviation of the minimum variance portfolio(MVP) that is a) formed by combining assets A and B? (That is, what are the weights of stock A and stock B in MVP?) b) What is the expected return of the portfolio P that is formed by investing 50% on the MVP and 50% on a stock that has an expected return of 10%? c) Assume that the only assets available to investors are the risk free asset and the portfolio P. The risk free rate is 2%. Assume also that there is $100 to be invested. What is the expected return of a NEW portfolio that is formed by combining risk free rate with a weight of -0.5 and portfolio P with a weight of 1.5? What does a negative weight mean? Explain with one sentence