Use the following three statements to answer this question Risk means the probability that the actual return form an investment is less than the expected return As long as the PAb=-1 an equally weighted portfolio would be risk free (PAb=portfolio A beta) If COVam> COVbm, stock A move closely to the market portfolio (M) than Stock B does a. 1 and 2 p. 1 only c. All incorrect d. All are correct e. 1 and 3
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- Assume that using the Security Market Line(SML) the required rate of return(RA)on stock A is found to be halfof the required return (RB) on stock B. The risk-free rate (Rf) is one-fourthof the required return on A. Return on market portfolio is denoted by RM. Find the ratioof betaof A(A) tobeta of B(B). Thank you for your help.A person is interested in constructing a portfolio. Two stocks are being considered. Letx = percent return for an investment in stock 1, and y = percent return for an investment instock 2. The expected return and variance for stock 1 are e(x) = 8.45% and Var(x) = 25.The expected return and variance for stock 2 are e(y) = 3.20% and Var(y) = 1. Thecovariance between the returns is sxy = −3.a. what is the standard deviation for an investment in stock 1 and for an investment instock 2? Using the standard deviation as a measure of risk, which of these stocks isthe riskier investment?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 1
- The possible returns from investing in BestMax share are as follows: State of economy Probability of state of economy Return if state occurs Strong 0.26 96% Normal 0.51 12% Weak 0.23 -83% Based on the above information, calculate the following for BestMax shares: a. Standard deviation of return b. Coefficient of variation c. What does the coefficient of variation reveal about an investment's risk that the standard deviation does not? Explain. d. What is 'risk' in the context of financial decision making? Explain.Assume you know the expected and required rate of returns of the following stocks. Explainwhich of the following stocks are undervalued, overvalued and fairly valued. Stock Expected rate of return Required rate of return Evaluation X 10 12 ? Y 6 5 ? Z 4 4 ?Suppose you are an average risk-averse investor who can purchase only one of the following stocks. Which should you purchased? Explain your reasoning. Investment Expected Return, r Standard Deviation, (r Stock M 6.0% 4.0% Stock N 18.0 12.0 Stock O 12.0 7.0
- Suppose we have the following information: Securit Amount Invested Expected Return Beta Stock A RM1 ,OOO 8% 0.80 Stock B RM2,OOO 12% 0.95 Stock C RM3,OOO 15% 1.10 Stock D RM4,OOO 18% a) Compute the expected return on this portfolio. b) Calculate the beta of the portfolio. c) Does this portfolio have more or less systematic risk than an average asset? Explain.USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM Stock Rit Rmt ai Beta C 12 10 0 0.8 E 10 8 0 1.1 Rit = return for stock i during period t Rmt = return for the aggregate market during period t What is the abnormal rate of return for Stock C during period t using only the aggregate market return (ignore differential systematic risk)?Consider the following information: Portfolio Expected Return Standard Deviation Risk-free 7% 0% Market 11.6 28 A 10.0 17 Required: a. Calculate the Sharpe ratios for the market portfolio and portfolio A. (Round your answers to 2 decimal places.) b. If the simple CAPM is valid, is the above situation possible?
- From the following information, calculate covariance between stocks A and B and expected return and risk of a portfolio in which A and B are equally weighted.Which stock would be recommend if investment in individual stock is to be made? Justify answer using numerical calculations. Stock A Stock B Expected return 24% 35% Standard deviation 12% 18% Coefficient of correlation 0.65 0.65RISK AND RETURN: Stock A and Stock B have the following distribution of rates of return:State of the economy Probability Stock A returns Stock B returnsRecession 0.10 -20% 30%Normal 0.60 10 20Boom 0.30 70 50a. What are the expected returns and standard deviations of these two shares?b. As an investment analyst with Gold Coast Securities Ltd, which of these stocks wouldyou recommend to a risk avoider investor?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 Ra