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 0.2
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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 | 0.2 |
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- 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 aboveConsider the following two securities X and Y. Y Security Expected Return Standard Deviation Beta 12.5% 10.0% Risk-free asset 5.0% OA. 1.33 ○ B. 0.88 OC. 1.17 OD. 1.67 20.0% 1.5 30.0% 1.0The 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.
- Question 1 Fill the parts in the above table that are shaded in yellow. You will notice that there are nineline items. Question 2Using the data generated in the previous question (Question 1);a) Plot the Security Market Line (SML) b) Superimpose the CAPM’s required return on the SML c) Indicate which investments will plot on, above and below the SML? d) If an investment’s expected return (mean return) does not plot on the SML, what doesit show? Identify undervalued/overvalued investments from the graph3) i) Calculate the average returns, variance and standard deviation for three securities X, Y and Z that have performed as follows. Returns % Year X Y Z 1 11 36 -3 2 6 -7 0 3 -8 21 5 4 28 -12 9 5 13 43 5 ii) Is there any basis for preferring one of these securities over the others? iii) Calculate the covariances between X, Y and Z.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
- Consider the following factor model: E[R] - rf = b Mkt (E[RMkt] - rf) + b SMB E[R$MB] + b The term b O size. SMB measures the sensitivity of the securities returns to: book-to-market. momentum. HML E[RHML] the overall market.Assume 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 ?%Suppose you observe the following situation on two securities:Security Beta Expected Return Pete Corp. 0.8 0.12 Repete Corp. 1.1 0.16 Assume these two securities are correctly priced. Based on the CAPM, what is the return on the market?
- Question: There are three securities in the market. The following chart shows their possible payoffs: &n... Edit question There are three securities in the market. The following chart shows their possible payoffs: State Probabilityof Outcome Return on Security 1 Return on Security 2 Return on Security 3 1 .14 .199 .199 .049 2 .36 .149 .099 .099 3 .36 .099 .149 .149 4 .14 .049 .049 .199 a-1. What is the expected return of each security? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) Answer 12.40% a-2. What is the standard deviation of each security? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) Answer 4.50% b-1. What are the covariances between the pairs of securities? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and round your…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.Mf1. Question: 1 (Assume that two securities, A and B, constitute the market portfolio, their proportions and variances are 0.39, 160, and 0.61, 340, respectively. The covariance of the two securities is 190. Estimate the systematic risk (beta) of the two securities. Note that the covariance of security-/ with the market portfolio is simply the weighted average of the covariances of security-i with all the securities included in the market portfolio.
