Concept explainers
a.
To discuss: If an individual would hold gold over stock and construct a graph for the same.
Introduction: An investor may invest in various stocks to reduce the risk of losses. Such a theory is called correlation theory. It is believed that an investor takes a lot of risk to achieve higher
b.
To discuss: If an individual would hold gold over stock and construct a graph for the same given that the correlation between gold and stock is + 1.
Introduction: An investor may invest in various stocks to reduce the risk of losses. Such a theory is called correlation theory. It is believed that an investor takes a lot of risk to achieve higher returns on their investment portfolio.
c.
To discuss: If the given data and assumption of correlation represent equilibrium in security market.
Introduction: An investor may invest in various stocks to reduce the risk of losses. Such a theory is called correlation theory. It is believed that an investor takes a lot of risk to achieve higher returns on their investment portfolio.
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- Assume that you run a regression on the raw returns of the stock of Company J against the raw returns of the market and find an intercept of 1.324 percent and a beta of 2.36. If the risk-free rate is 2.64 percent, and using the concept of Jensen's Alpha, then determine by how much this stock beat the market. Answer in decimal format. For example, if you answer is 3.33%, enter "0.0333"arrow_forwardAssume you wish to evaluate the risk and return behaviors associated with various combinations of two stocks, Alpha Software and Beta Electronics, under three possible degrees of correlation: perfect positive, uncorrelated, and perfect negative. The average return and standard deviation for each stock appears here: a. If the returns of assets Alpha and Beta are perfectly positively correlated (correlation coefficient = + 1), over what range would the average return on portfolios of these stocks vary? In other words, what is the highest and lowest average return that different combinations of these stocks could achieve? What is the minimum and maximum standard deviation that portfolios Alpha and Beta could achieve? b. If the returns of assets Alpha and Beta are uncorrelated (correlation coefficient = 0), over what range would the average return on portfolios of these stocks vary? What is the standard deviation of a portfolio that invests 75% in Alpha and 25% in Beta? How does this…arrow_forwardStock A has expected return of 15% and standard deviation (s.d.) 20%. Stock B has expected return 20% and s.d. 15%. The two stocks have a correlation coefficient of 0.5. 1.Note that Stock A has greater risk (s.d.) that Stock B, but a lower expected return. Explain how is this possible in a world where returns on assets are as predicted by the CAPM. 2. Determine the expected return and the s.d. of portfolio P1, composed by investing 30% in stock A and 70% in stock B. 3. Consider stock C that has expected return 15% and s.d. 15%. Stock C is uncorrelated with either stock A and stock B. Determine the expected return and s.d. of portfolio P2 made by investing 50% in stock C and 50% in portfolio P1.arrow_forward
- Assume that using the Security Market Line (SML) the required rate of return (RA) on stock A is found to be half of the required return (RB) on stock B. The risk-free rate (Rf) is one-fourth of the required return on A. Return on market portfolio is denoted by RM. Find the ratio of beta of A (bA) to beta of B (bB). please show all workings and not merely : Ra = 1/2 rbRf = 1/4 Raarrow_forwardA 243.arrow_forwardAssume that using the Security Market Line (SML) the required rate of return (RA) on stock A is found to be half of the required return (RB) on stock B. The risk-free rate (Rf) is one-fourth of the required return on A. Return on market portfolio is denoted by RM. Find the ratio of beta of A (bA) to beta of B (bB). (please show all workings)arrow_forward
- (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 shiftarrow_forward(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.)arrow_forwardConsider the following information: a. Calculate the expected return for Stocks A and B. (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 Stocks A and B. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.)arrow_forward
- kindly be as detailed as possible with the calculations. Preferably in excel.arrow_forward2. Suppose that the market model for stocks A and B is estimated with the following results: RA = 1% +0.9*RM+EA RB = -2% + 1.1*RM+EB The standard deviation of the markets returns is 20% and firm specific risk (standard deviation) equals 30% for A and 10% for B. a. Compute the risk (standard deviation) of each stock and the covariance between them. Suppose we form an equally weighted portfolio of stocks A and B. What will be the nonsystematic standard deviation of that portfolio? b.arrow_forwardAssume that using the Security Market Line the required rate of return (RA) on stock A is found to be half of the required return (RB) on stock B. The risk-free rate (Rf) is one-fourth of the required return on A. Return on the market portfolio is denoted by RM. Find the ratio of beta of A (bA) to beta of B (bB).arrow_forward
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