EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN: 9781337514835
Author: MOYER
Publisher: CENGAGE LEARNING - CONSIGNMENT
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Chapter 8, Problem 21P
Summary Introduction
To determine: Standard deviation of the portfolio.
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The beta of a portfolio is:
A. A measure of the correlation of betas of the securities in the portfolio.
B. Always greater than one.
C. The market value weighted average beta of the securities in the portfolio.
D. The geometric average of the beta of the securities in the portfolio.
Compute the portfolio risk if stock A and Stock B are combined in a portfolio in the ratio 6:4 respectively.
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?
Chapter 8 Solutions
EBK CONTEMPORARY FINANCIAL MANAGEMENT
Ch. 8 - Prob. 1QTDCh. 8 - Prob. 2QTDCh. 8 - Prob. 3QTDCh. 8 - Prob. 4QTDCh. 8 - Prob. 5QTDCh. 8 - Prob. 6QTDCh. 8 - Prob. 7QTDCh. 8 - Prob. 8QTDCh. 8 - Prob. 9QTDCh. 8 - Prob. 10QTD
Ch. 8 - Prob. 11QTDCh. 8 - Prob. 12QTDCh. 8 - Prob. 13QTDCh. 8 - Prob. 14QTDCh. 8 - Prob. 15QTDCh. 8 - Prob. 16QTDCh. 8 - Prob. 17QTDCh. 8 - Prob. 18QTDCh. 8 - Prob. 19QTDCh. 8 - Prob. 20QTDCh. 8 - Prob. 21QTDCh. 8 - Prob. 1PCh. 8 - Prob. 2PCh. 8 - Prob. 3PCh. 8 - Prob. 4PCh. 8 - Prob. 5PCh. 8 - Prob. 6PCh. 8 - Prob. 7PCh. 8 - Prob. 8PCh. 8 - Prob. 9PCh. 8 - Prob. 10PCh. 8 - Prob. 11PCh. 8 - Prob. 12PCh. 8 - Prob. 13PCh. 8 - Prob. 14PCh. 8 - Prob. 15PCh. 8 - Prob. 16PCh. 8 - Prob. 17PCh. 8 - Prob. 18PCh. 8 - Prob. 19PCh. 8 - Prob. 20PCh. 8 - Prob. 21PCh. 8 - Prob. 22PCh. 8 - Prob. 23PCh. 8 - Prob. 24PCh. 8 - Prob. 25PCh. 8 - Prob. 26PCh. 8 - Prob. 27PCh. 8 - Prob. 28P
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- Which of the following measures the total risk of a portfolio? A. Standard Deviation B. Correlation Coefficient C. Beta D. Alphaarrow_forwardAssume 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.arrow_forwardWhat is the formula for the Sharpe Ratio for a two-asset portfolio of stocks and bonds with equal expected returns, i.e., E(RS)= E(RB), and a perfect negative correlation. Can use XS, sS for the portfolio weight and standard deviation of stocks, and XB, sB for the portfolio weight and standard deviation of bonds.arrow_forward
- 3) 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.arrow_forwardThe measure of risk for a security held in a diversified portfolio is:a. Specific risk.b. Standard deviation of returns.c. Reinvestment risk.d. Covariance.arrow_forwardThe portfolio weights for a portfolio consisting of multiple securities given multiple states of the economy are based on the: a. expected rates of return of each security given a normal economic state. b. market value of the investment in each individual security. c. beta of each individual security. d. amount of the original investment in each security.arrow_forward
- b) 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) (B) (C)arrow_forwardWhich of the following statements regarding the graph of the SML is most accurate? A Select one OA. The beta of Portfolios A, B, and C are identical as they fall directly on the line. B. The expected return of Portfolio C is the difference between the market's expected return and the risk-free rate. C. Portfolio A has lower systematic risk than Portfolio B. D. The slope of the line is the market risk premium.arrow_forwardExercises: a. The standard deviation of returns is 0.30 for Stock A and 0.20 for Stock B. The covariance between the returns of A and B is 0.006. The correlation of returns between A and B is: b. Explain the differences between systemic risk and unsystematic risk, give additional examples c. Compare and contrast the Capital Market Line and Security Market Line d. The covariance of the market's returns with the stock's returns is 0.008. The standard deviation of the market's returns is 0.08, and the standard deviation of the stock's returns is 0. 11. What is the correlation coefficient of the returns of the stock and the returns of the market? e. According to the CAPM, what is the required rate of return for a stock with a beta of 0.7, when the risk-free rate is 7% and the expected market rate of return is 14%arrow_forward
- 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…arrow_forwardWhich of the following statements is correct? Select one: a. Assuming a correlation coefficient of 0 between two assets, the portfolio’s standard deviation will be lower than the weighted average of the individual assets’ standard deviation. b. Assuming a correlation coefficient of +1 between two assets, the portfolio’s standard deviation will be lower than the weighted average of the individual assets’ standard deviation. c. Assuming a correlation coefficient of +1 between two assets, the portfolio’s standard deviation will be the same as the weighted average of the individual assets’ standard deviation. d. Both A and C. Clear my choicearrow_forwardWhat is the standard deviation of the portfolio that invests equally in all three assets M, N, and O?arrow_forward
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