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- The beta of a risk-free security is _____ and the beta of the overall market is _____: a. 0; 1. b. 0; 0. c. 1; 0. d. 1; 1.Assume that security returns are generated by the single-index model, Ri = αi + βiRM + ei where Ri is the excess return for security i and RM is the market’s excess return. The risk-free rate is 3%. Suppose also that there are three securities A, B, and C, characterized by the following data: Security βi E(Ri) σ(ei) A 1.4 14 % 23 % B 1.6 16 14 C 1.8 18 17 a. If σM = 22%, calculate the variance of returns of securities A, B, and C. b. Now assume that there are an infinite number of assets with return characteristics identical to those of A, B, and C, respectively. What will be the mean and variance of excess returns for securities A, B, and C? (Enter the variance answers as a percent squared and mean as a percentage. Do not round intermediate calculations. Round your answers to the nearest whole number.)Assume that security returns are generated by the single-index model,Ri = αi + βiRM + eiwhere Ri is the excess return for security i and RM is the market’s excess return. The risk-free rate is 2%. Suppose also that there are three securities A, B, and C, characterized by the following data: Security βi E(Ri) σ(ei) A 0.7 7 % 20 % B 0.9 9 6 C 1.1 11 15 a. If σM = 16%, calculate the variance of returns of securities A, B, and C. b. Now assume that there are an infinite number of assets with return characteristics identical to those of A, B, and C, respectively. What will be the mean and variance of excess returns for securities A, B, and C? (Enter the variance answers as a percent squared and mean as a percentage. Do not round intermediate calculations. Round your answers to the nearest whole number.)
- Consider two securities, A and B, whose standard deviations of returns and betas are given below: Security A Security B Standard deviation 15% 25% Beta 1.30 0.75 Which security will have the higher risk premium? Security A or B?The risk-free rate and the expected market rate of return are 0.06 and 0.12 respectively. Using the CAPM model the expected rate of return of a security with a beta of 1.2 would beAssume that security returns are generated by the single-index model, Ri = alphai + BetaiRM + ei where Ri is the excess return for security i and RM is the market's excess return. The risk-free rate is 2%. Suppose also that there are three securities A, B, and C, characterized by the following data. Security Betai E(Ri) sigma(ei) A 1.4 15% 28% B 1.6 17% 14% C 1.8 19% 23% a. If simaM = 24%, calculate the variance of returns of securities A, B, and C (round to whole number). Variance Security A Security B Security C b. Now assume that there are an infinite number of assets with return characteristics identical to those of A, B, and C, respectively. What will be the mean and variance of excess returns for securities A, B, and C (enter the variance answers as a whole number decimal and the mean as a whole number percentage)? Mean Variance Security A ?% Security B ?% Security C ?%
- The security market line has a slope equal to the a) Risk-free rate b) Market risk premium c) Beta coefficient d) Market rate of returnWhich of the following statements about the Security Market Line are correct? I. The intercept point is the market rate of return. II. The slope of the line is beta. III. An investor should accept any return located above the SML line. IV. A beta of 0.0 indicates the risk-free rate of returnAssume CAPM holds. Consider a portfolio that consist of a risk-free asset and two risky assets A and B such that they are in equal supply in the market. This implies that the market portfolio M = 0.5A +0.5B. Given that µM = 11%, σA = 20%,σB = 40%,ρAB = 0.75 and the risk-free rate is 2%. Compute: a) The beta factor for each security. b) The values for µA and µB and verify these quantities via the SML.
- Security X has expected return of 14% and standard deviation of 22%. Security Y has expected return of 16% and standard deviation of 28%. If the two securities have a correlation coefficient of 0.8, what is their covariance? 0.049 0.038 0.018 0.013The risk-free security has a beta equal to ________ , while the market portfolio's beta is equal to _______. more than one ; one less than one; one zero; one less than zero; more than zeroConsider the following information (Assume that Security M and Security N are in the same financial market): Standard Deviation BetaSecurity M 20% 1.25Security N 30% 0.80 Which security has more total risk? Group of answer choices Security M Security N Equal
