a. What are the expected returns of the two stocks? b. What are the standard deviations of the returns of the two stocks? c. If their correlation is 0.42, what is the expected return and standard deviation of a portfolio of 60% stock A and 40% stock B?
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- Stocks A and B have the following returns: (Click on the following icon o in order to copy its contents into a spreadsheet.) Stock A Stock B 1 0.09 0.04 0.06 0.03 3. 0.12 0.06 4 - 0.04 0.02 5 0.09 -0.02 a. What are the expected returns of the two stocks? b. What are the standard deviations of the returns of the two stocks? c. If their correlation is 0.47, what is the expected return and standard deviation of a portfolio of 51% stock A and 49% stock B? a. What are the expected returns of the two stocks? The expected return for stock A is (Round to three decimal places.)8. Stocks A and B have the following returns (see Pearson MyLab Finance for the data in Excel format): Stock A Stock B 1 0.08 0.05 2 0.04 0.04 3 0.14 0.05 4 -0.05 0.01 5 0.08 -0.01 a. What are the expected returns of the two stocks? b. What are the standard deviations of the returns of the two stocks? c. If their correlation is 0.48 what is the expected return and standard deviation of a portfolio of 65% stock A and 35% stock B?(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 Probability 0.15 0.35 0.35 0.15 (Click on the icon in order to copy its contents into a spreadsheet.) Common Stock B Return 13% 14% 18% Return - 6% 7% 15% 21% a. Given the information in the table, the expected rate of return for stock A is 14.6 %. (Round to two decimal places.) The standard deviation of stock A is %. (Round to two decimal places.)
- 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.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…(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 Probability 0.15 0.35 0.35 0.15 (Click on the icon in order to copy its contents into a spreadsheet.) ew an example Get more help. T 3 a. Given the information in the table, the expected rate of retum for stock A is 15.6 %. (Round to two decimal places.) The standard deviation of stock A is %. (Round to two decimal places.) E D 80 73 Return. 12% 16% 18% U с $ 4 R F 288 F4 V Common Stock B % 5 T FS G 6 Return -7% 7% 13% 21% B MacBook Air 2 F& Y H & 7 N 44 F? U J ** 8 M | MOSISO ( 9 K DD O . Clear all : ; y 4 FIX { option [ + = ? 1 Check answer . FV2 } ◄ 1 delete 1 return shift
- The following table represents the rate of returns of two stocks in different economic conditions along with their probabilities (the data are also uploaded on moodle) RATES OF RETURN ON STOCKS EXPECTED ECONOMIC PROBABILITY STOCK A STOCK B CONDITIONS RECESSION 0.55 -0.04 -0.02 STABLE 0.35 0.25 0.30 EXPANDING 0.10 0.15 0.20 Answer the following by using mathematical calculations: a) Calculate the expected rate of return for each stock respectively. Explain what the expected value implies. b) Calculate the standard deviation for each stock respectively. Explain what the standard deviation implies. c) If you were an investor in which stock you were going to invest? Justify your answer. d) Calculate the covariance between Stock A and stock B. Discuss. e) Calculate the expected return and the standard deviation of the portfolio consisting 40% in stock A and 60% in stock B. f) Discuss the risk and return associated with investing i All of your funds in stock A ii. All of your funds in stock…(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 0.25 0,50 0.25 Probability 0.10 0.40 0.40 0.10 (Click on the icon in order to copy its contents into a apreadsheet) Common Stock B Return 10% 17% 18% Return -4% 7% 13% 20% G a. Given the information in the table, the expected rate of return for stock A is 15.5% (Round to two decimal places) The standard deviation of stock A is (Round to two decimal places.)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 Common Stock B Probability Return Probability Return 0.25 13% 0.25 −7% 0.50 14% 0.25 7% 0.25 18% 0.25 16% 0.25 23% (Click on the icon in order to copy its contents into a spreadsheet.) Question content area bottom Part 1 a. Given the information in the table, the expected rate of return for stock A is enter your response here %. (Round to two decimal places.) Part 2 The standard deviation of stock A is enter your response here %. (Round to two decimal places.) Part 3 b. The expected rate of return for stock B is enter your response here %. (Round to two decimal places.) Part 4 The standard deviation for stock B is enter…
- 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?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 Common Stock B Probability Return Probability Return 0.35 13% 0.25 −7% 0.30 17% 0.25 8% 0.35 21% 0.25 15% 0.25 23% (Click on the icon in order to copy its contents into a spreadsheet.) Question content area bottom Part 1 a. Given the information in the table, the expected rate of return for stock A is enter your response here%. (Round to two decimal places.)What are the expected returns for stocks Y and Z under the conditions shown below? A0 0.04 k1 0.07 k2 0.05 by,1 0.5 by,2 1.3 bz,1 1.2 bz,2 0.9