Based on the information provided below, estimate the correlation coefficient of returns between the two securities. Returns for Securities KLM and GDF (%) Scenario 1 Scenario 2 Probability of the 1st scenario KLM 4 1 0.6 GDF 15 0.2
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- 36) Based on the information provided below, estimate the correlation coefficient of returns between the two securities. Returns for Securities KLM and GDF (%) Scenario 1 Scenario 2 Probability of the 1st scenario KLM 4 1 0.4 GDF 12 8 0.2What 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 0.9The correlation coefficient of two securities described in the table below is closest to: Covariance -0.06 SD1 30% SD2 20% Select one ○ A. -1. O B. +0.5. O C. +0.3. O D. +0.1.
- Assume that you are given the following partial covariance and correlation matrices for Securities J, K and the Market. Also assume that the expected risk-free rate for the coming year is 3.0 percent and that the expected risk premium on the market is 7.0 percent. Given this information, determine the required rate of return for Security J for the coming year, using CAPM. J Market Correlation J K Market Covariance J K Market Standard Deviation O 18.48% O 20.20% O 15.48% O 12.71% O 15.04% 0.44 0.86 J 0.014400 J K 0.64 K CAN 0.016900 K 1.00 Market 0.003600 MarketAssume 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 ?%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.
- 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.)Consider the probability distribution p(s) of the returns rA and rB of two securities A and B: state p(s) rA rB роог 0.2 0.1 0.16 medium 0.5 0.2 0.1 доod 0.3 0.3 0.05 Calculate the covariance oAB between rA and rB. The correct answer (up to four decimals is) Select one: GAB = 0.0013 GAB = -0.0027 GAB = -0.0102 None of the aboveSuppose you have the follow information about Intrinsic Co. and the market. What is the Beta of Intrinsic Co.? Probability 0.48 0.35 0.17 a) 1.39 Ob) 1.13 c) 1.00 d) 1.26 Intrinsic Co. Returns 15.4% 17.9% 21.5% Market Returns 9.1% 10.8% 13.5%
- Consider the following data for two risk factors (1 and 2) and two securities (J and L):λ0 = 0.07 λ1 = 0.04 λ2 = 0.06bJ1 = 0.10 bJ2 = 1.60 bL1 = 1.80 bL2 = 2.45a. Compute the expected returns for both securities. b. Suppose that Security J is currently priced at $50 while the price of Security L is $15.00.Further, it is expected that both securities will pay a dividend of $0.95 during the coming year.What is the expected price of each security one year from now? c. Compute the correlation between stock A and stock B considering the following data.Standard deviation of stock A = 10 percentStandard deviation of stock B = 17 percentCovariance between the two stocks = 90.Consider the following two securities X and Y. Security Return Standard Deviation X 20.0% Y 10.0% 20.0% 30.0% Risk-free asset 5.0% Beta 1.50 1.0 Which asset (X or Y) in Table 8.3 has the least total risk? Which has the least syst O Y; X. O X; Y. O Y; Y. ○ X; X.5. You are considering investing in two securities, X and Y. The following data are available for the two securities: Security X Security Y Expected return 0.10 0.07 Standard deviation of returns 0.08 0.04 Beta 1.10 0.75