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- 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.An investor wishes to contruct a portfolio consisting of security 1 and security 2. the expected return on the two securities are E(R1) = 0.08 And E(R2) = 0.12 and the standard deviation 1 = 0.04 and Standard deviation 2 = 0.06. the correlation coefficient between thier returns is P1,2 = -0.5. Investor is free to choose the investment proportions W1 And W2 only to requirment that w1+w2=1 and both w1 and w2 are positive.There is no limit to the number of portfolios that meet thses requirements, since there is no limit to the number of proportions that sum to 1. Therefore a representative selection of values is considered w1: 0, 0.2, 0.4, 0.6, 0.8, and 1Suppose that there exist two securities (A and B) with annual expected returns equal to ra = 3% and rg = 5% and standard deviations equal to o4 = 7% and oB = 10% respectively. The correlation coefficient between the returns of these securities is p = -0.5. What is the expected return and the standard deviation of an equally weighted portfolio consisting of the securities A and B? Describe every step of your calculations in detail. What is the expected return and the standard deviation of a portfolio consisting of the securities A and B, if the relevant weights are chosen to minimize the risk of the portfolio? Present the minimisation problem and describe every step of your calculations in detail. How could an investor maximize diversification benefits? Critically discuss and explain in detail.
- 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-i with the market portfolio is simply the weighted average of the covariances of security-i with all the securities included in the market portfolio – the lesson you learned in the context of the bordered covariance matrix. Answer step by step.Do all part.Answer must be correct.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 Market(a) Mr Adani invests in two risky securities with the following details: Security 1: r1=0.16; 01-0.30; Security 2: r2=0.08; 2=0.25 Where r1 is the expected return of security 1 and o1 is the standard deviation of returns of security 1; r2 is the expected return of security 2 and o2is the standard deviation of returns of security 2 The correlation coefficient (p12) between the returns of the two securities is -0.5 (i) Calculate the expected rate of return(r) and risk(o) for the following portfolios: 1.40% security 1 and 60% security 2 II.80% security 1 and 20% security 2 I (ii) Given a risk-free rate of 4%, describe how Mr. Adani can use a combination of a risk-free instrument and a risky portfolio with an expected return of 15% to achieve an expected return of 26%.
- Show detailed steps to solve the following question. Consider a portfolio comprised of three securities in the following proportions and with the indicated security beta. a.) What is the portfolios beta? b.) Wht is the portfolios expected return?Consider a portfolio comprise of three securities in the following proportion and with the indicated securities beta. Security Amount Invested Beta Expected return A 1.5million 1.0 12% B 1million 1.5 13.5% C 2million 0.8 9% Calculate the portfolio’s; Beta Expected return Determine whether this portfolio have more or less systematic risk than an average asset.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.
- Suppose the expected return for the market portfolio and risk-free rate are 13 percent and 3 percent respectively. Stocks A, B, and C have Treynor measures of 0.24, 0.16, and 0.11, respectively. Based on this information, an investor should ______?You have been assigned the task of estimating the expected returns for three different stocks: QRS, TUV, and WXY. Your preliminary analysis has established the historical risk premia associated with three risk factors that could potentially be included in your calculations: the excess return on a proxy for the market portfolio (MKT), and two variables capturing general macroeconomic exposures (MACRO1 and MACRO2). These values are: AMKT = 7.5 percent, AMACRO1 = -0.3 percent, and AMACRO2 = 0.6 percent. You have also estimated the following factor betas (loadings) for all three stocks with respect to each of these potential risk factors: FACTOR LOADING Stock MKT MACRO1 MACRO2 QRS 1.24 -0.42 0.00 TUV 0.91 0.54 0.23 WXY 1.03 -0.09 0.00 a. Calculate expected returns for the three stocks using just the MKT risk factor. Assume a risk-free rate of 4.5 percent. b. Calculate the expected returns for the three stocks using all three risk factors and the same 4.5 percent…Security A has a beta of 1.16 and an expected return of .1137 and Security B has a beta of .92 and expected return of .0984 - these securities are assumed to be correctly priced. Based on CAPM, what is the return on the market?