ns for stocks A, B, C, D, and E are 7 %, 10%, 12%, 25%, and 18% respectively. The corresponding standard deviations for these stocks are 12%, 18%, 15%, 23%, and 15% respectively. Based on their coefficients of variation, which of the securities is least risky for an investor? Assume all investors are risk-averse and the investmen

ns for stocks A, B, C, D, and E are 7 %, 10%, 12%, 25%, and 18% respectively. The corresponding standard deviations for these stocks are 12%, 18%, 15%, 23%, and 15% respectively. Based on their coefficients of variation, which of the securities is least risky for an investor? Assume all investors are risk-averse and the investmen

EBK CONTEMPORARY FINANCIAL MANAGEMENT

14th Edition

ISBN:9781337514835

Author:MOYER

Publisher:MOYER

Chapter8: Analysis Of Risk And Return

Section: Chapter Questions

Problem 13QTD

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(a) (i) Calculate the expected returns and standard deviations of Stock Alpha and Stock Beta. (a) (ii) Assuming that Jerry Tan is a risk-adverse investor, recommend which stock he should select for long term investment. (b) Suppose that Jerry Tan has surplus funds to invest in both stocks, Alpha and Beta. He has decided to form a portfolio with investment in both stocks. The correlation coefficient between the expected return of both stocks is 0.8 and the weightage of investment is 40% for Stock Alpha and 60% for Stock Beta. Required:(i) Compute the expected return, Standard Deviation and Variance of the portfolio. (c) Explain the specific risk and market risk in details, which affecting a company or a group of companies that represent a sector of the stock market. (d) Give THREE (3) reasons why airlines and machine tool manufacturers have substantial macro and market risks.
a) The covariance between stocks A and B is 0.0014, standard deviation of stock A is 0.032, and standard deviation of stock B is 0.044. Which of the following is the most appropriate to depict the risk- return characteristics of a portfolio consisting of only stocks A and B, and explain why? E(R) E(R) E(R) A A A (A) (B) (C) b) found to be half of the required return (Rs) on stock B. The risk-free rate (R) is one-fourth of the required Assume that using the Security Market Line (SML) the required rate of return (RA) on stock A is return on A. Return on market portfolio is denoted by RM. Find the ratio of beta of A (DA) to beta of B (OB). c) Assume that the short-term risk-free rate is 3%, the market index S&P500 is expected to pay returns of 15% with the standard deviation equal to 20%. Asset A pays on average 5%, has standard deviation equal to 20% and is NOT correlated with the S&P500. Asset B pays on average 8%, also has standard deviation equal to 20% and has correlation of 0.5 with…
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
The covariance between stocks A and B is 0.0014, standard deviation of stock A is 0.032, and standard deviation of stock B is 0.044. Which of the following is the most appropriate to depict the risk-return characteristics of a portfolio consisting of only stocks A and B, and explain why? E(R) E(R) E(R) В В A A А (A) (B) (C)
Questions C and D is required. c) 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 (A) to beta of B (B). d) Assume that the short-term risk-free rate is 3%, the market index S&P500 is expected to pay returns of 15% with the standard deviation equal to 20%. Asset A pays on average 5%, has standard deviation equal to 20% and is NOT correlated with the S&P500. Asset B pays on average 8%, also has standard deviation equal to 20% and has correlation of 0.5 with the S&P500. Determine whether asset A and B are overvalued or undervalued, and explain why. (Hint: Beta of asset i ( , where are standard deviations of asset i and market portfolio, is the correlation between asset i and the market portfolio)
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
Questions C is required. Thank you.c) 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 (A) to beta of B (B).
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.
Suppose that many stocks are traded in the market and that it is possible to borrow at the risk-free rate, rƒ. The characteristics of two of the stocks are as follows: Stock Expected Return Standard Deviation A 8% 55% B 4% 45% Correlation = −1 Required: a. Calculate the expected rate of return on this risk-free portfolio? (Hint: Can a particular stock portfolio be formed to create a “synthetic” risk-free asset?) (Round your answer to 2 decimal places.) b. Could the equilibrium rƒ be greater than rate of return?
Assume you wish to evaluate the risk and return behaviors associated with various combinations of two stocks, Alpha Software and Beta Electronics, under three possible degrees of correlation: perfect positive, uncorrelated, and perfect negative. The average return and standard deviation for each stock appears here: a. If the returns of assets Alpha and Beta are perfectly positively correlated (correlation coefficient = + 1), over what range would the average return on portfolios of these stocks vary? In other words, what is the highest and lowest average return that different combinations of these stocks could achieve? What is the minimum and maximum standard deviation that portfolios Alpha and Beta could achieve? b. If the returns of assets Alpha and Beta are uncorrelated (correlation coefficient = 0), over what range would the average return on portfolios of these stocks vary? What is the standard deviation of a portfolio that invests 75% in Alpha and 25% in Beta? How does this…
(c) Explain why, in general, the portfolio risk is lower than the weighted average of individual stocks’ risk. (d) Suppose the risk-free rate is 4%, the market risk premium is 15% and the betas for stocks X and Y are 1.2 and 0.2 respectively. Using the CAPM model, estimate the required rates ofreturn of Stock X and Stock Y. (e) Given the results above, are Stocks X and Y overpriced or underpriced? Explain.
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