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##### Finance Assignment Questions

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Question;1. Evaluate whether the following statements are true or false.a) Even if a risky security has a return lower than the risk-free rate, this security could be held for diversification purposes.b) The Glass-Steagall Act of 1933 separated commercial banking from investment banking.c) If returns on two stocks are perfectly positively correlated, you can build a riskless portfolio with those stocks when short-selling is not allowed.d) A risk-free security has a variance of zero.e) A security with a beta of zero is risk free.f) The CAPM implies that investors demand high returns for holding securities with low betas.g) If a stock lies above the securities market line, it is overvalued.h) There is an overwhelming majority of evidence against market efficiency: if you find a profitable trading strategy, you immediately tell the world how to trade.i) The small firm in January effect is strongest at the beginning of the month.j) When a risk-free asset is available, the minimum variance portfolio is the optimal portfolio for all risk-averse investors.2. Consider the following scenario analysis involving asset A and asset B:Economic ConditionProbabilityReturn on XReturn on YBoom0.130%12%Accelerated Growth0.220%10%Normal Growth0.415%9%Slowdown0.210%8%Recession0.1-50%-4%a) Compute the expected returns and the standard deviation of returns for both assets. Then compute the correlation coefficient between the returns on the two assets.b) Find the expected return and the standard deviation of the minimum variance portfolio of A and B, when short-selling is allowed.3. There are two risky assets and one risk-free asset available for. The two risky assets have the following features: Asset X has an expected return of 25% and a variance of returns of 625%2 (0.04). Asset Y has an expected return on 20% and a standard deviation of returns of 20%. The covariance between the returns on X and Y is 500%2 (0.0500). Short selling risky assets is NOT allowed. The risk-free asset a return of 8%.a) Plot the expected returns and standard deviations of returns of the three assets in a graph. Draw the set of feasible portfolios of only the RISKY assets onto the same graph. Please note: no need to very accurate in your drawing of the assets or the feasible set.b) What is the optimal combination of risky assets that a risk-averse investor should hold? (Remember that there is also a risk-free asset available ? no calculations, just describe).c) What level of standard deviation risk does an investor have to hold in order to achieve an expected return of 18% on their portfolio?4. You are given the following data on the returns of companies D and E:Company DCompany EExpected rate of return20%18%Standard deviation of returns40%24%The correlation coefficient between the returns on D and E is rDE = 0.35.a) What is the expected return and the standard deviation of the MVP (round to two decimal places)?Assume that D?s beta is bD = 1.4 and E?s beta is bE = 1.2 and the variance of returns is 200%2 (0.02).b) What fraction of each company?s risk is firm-specific?5. You have been provided with the following data on the securities of three firms, th portfolio and the risk-free asset:Security?i?iM?iA0.130.12X10.90B0.16X20.401.10C0.250.240.75X30.150.10X4X5Risk-free asset0.05X6X7X8where is the average realized return of asset i in the recent past (equal to its expected return today),?i is the standard deviation of asset i's returns,?iM is the correlation of asset i's returns with the returns and?i is the beta of asset i. Assume the CAPM holds true.a) Fill in the missing values X1,?,X8 in the table without using the information on average realized returns.b) Provide an evaluation of the investment performance of the three firms and make justified investment recommendations.="msonormal">

Paper#48840 | Written in 18-Jul-2015

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