To determine: Expected return on portfolio and the risk of the portfolio.
Explanation of Solution
Calculation of expected return on security A:
Therefore, expected return on security A is 12%
Calculation of expected return on security B:
Therefore, expected return on security B is 16.15%
Calculation of expected return on security C:
Therefore, expected return on security C is 12%
Calculation of expected return on portfolio:
Therefore, expected return on portfolio is 14.93%
Calculation of standard deviation of stock A, B and C
Calculation of standard deviation of portfolio:
Therefore, standard deviation of the portfolio is 2.07%
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Chapter 8 Solutions
EBK CONTEMPORARY FINANCIAL MANAGEMENT
- Risk-free rate is 7%, expected return on the market portfolio is 12%. Identify the correct equation for Security Market Line (SML): a. r = 5% + b(7%) b. r = 7% + b (12%) c. r = 7% + b (5%) d. r = 5% + b (12%)arrow_forwardTwo securities have the following characteristics: Security A Security B Expected return 32% 17% Standard deviation 28% 34% Proportion (Weight) 55% 45% Beta 1.2 0.25 Correlation Coefficient 0.85 Determine the risk (standard deviation) of the portfolio with Securities A and B.arrow_forwardQuestion 2 The expected returns and standard deviation of returns for two securities are as follows: Security Z Security Y Expected Return 15% 35% Standard Deviation 20% 40% The correlation between the returns is +0.25. a) Calculate the expected return and standard deviation for the following portfolios: i) All in Z ii) 0.75 in Z and 0.25 in Y iii) 0.5 in Z and 0.5 in Y iv) 0.25 in Z and 0.75 in Y v) All in Y b) Draw the mean-standard deviation frontier. c) Which portfolios might not be held by an investor who likes high expected return and low standard deviation?arrow_forward
- Consider the following information for four portfolios, the market, and the risk-free rate (RFR): Portfolio Return Beta SD A1 0.15 1.25 0.182 A2 0.1 0.9 0.223 A3 0.12 1.1 0.138 A4 0.08 0.8 0.125 Market 0.11 1 0.2 RFR 0.03 0 0 Refer to Exhibit 18.6. Calculate the Jensen alpha Measure for each portfolio. a. A1 = 0.014, A2 = -0.002, A3 = 0.002, A4 = -0.02 b. A1 = 0.002, A2 = -0.02, A3 = 0.002, A4 = -0.014 c. A1 = 0.02, A2 = -0.002, A3 = 0.002, A4 = -0.014 d. A1 = 0.03, A2 = -0.002, A3 = 0.02, A4 = -0.14 e. A1 = 0.02, A2 = -0.002, A3 = 0.02, A4 = -0.14arrow_forwardGiven the following probability distributions, what are the expected returns for the Market and for Security J? Statei Pr i rM rJ 1 0.3 −10% 40% 2 0.4 10 −20 3 0.3 30 30 Group of answer choices 10.0%; 11.3% 9.5%; 13.0% 10.0%; 9.5% 10.0%; 13.0% 13.0%; 10.0%arrow_forwardAssume that security returns are generated by the single-index model,Ri = αi + βiRM + eiwhere Ri is the excess return for security i and RM is the market’s excess return. The risk-free rate is 2%. Suppose also that there are three securities A, B, and C, characterized by the following data: Security βi E(Ri) σ(ei) A 0.7 7 % 20 % B 0.9 9 6 C 1.1 11 15 a. If σM = 16%, calculate the variance of returns of securities A, B, and C. b. Now assume that there are an infinite number of assets with return characteristics identical to those of A, B, and C, respectively. What will be the mean and variance of excess returns for securities A, B, and C? (Enter the variance answers as a percent squared and mean as a percentage. Do not round intermediate calculations. Round your answers to the nearest whole number.)arrow_forward
- Assume that security returns are generated by the single-index model, Ri = αi + βiRM + ei where Ri is the excess return for security i and RM is the market’s excess return. The risk-free rate is 3%. Suppose also that there are three securities A, B, and C, characterized by the following data: Security βi E(Ri) σ(ei) A 1.4 14 % 23 % B 1.6 16 14 C 1.8 18 17 a. If σM = 22%, calculate the variance of returns of securities A, B, and C. b. Now assume that there are an infinite number of assets with return characteristics identical to those of A, B, and C, respectively. What will be the mean and variance of excess returns for securities A, B, and C? (Enter the variance answers as a percent squared and mean as a percentage. Do not round intermediate calculations. Round your answers to the nearest whole number.)arrow_forwardA portfolio has an expected rate of return of 0.15 and a standard deviation of 0.15. The risk-free rate is 6%. An investor has the following utility function: U = E(r) - (A/2)s2. Which value of A makes this investor indifferent between the risky portfolio and the risk-free asset? A. 5 B. 8 C. 6 D. 7arrow_forwardThe following below are the expected return and betas of the given set of securities. Given that the risk free rate is 7% and the market return is 13%. Security N O P Return 20 21 23 Beta 1.2 1.8 0.82 Calculate the market risk premium, and the expected return of each asset using CAPM.arrow_forward
- 6. A zero-risk portfolio has a standard deviation of: A. 0% B. 1% C. 100% D. Infinityarrow_forwardConsider the following information (Assume that Security M and Security N are in the same financial market): Standard Deviation BetaSecurity M 20% 1.25Security N 30% 0.80 Which security has more total risk? Group of answer choices Security M Security N Equalarrow_forwardA portfolio manager is considering adding another security to his portfolio. The correlations of the five alternatives available are listed below. Which security would enable the highest level of risk diversification? a. 0.0 b. 0.25 c. -0.25 d. -0.75 e. 1.0arrow_forward
- EBK CONTEMPORARY FINANCIAL MANAGEMENTFinanceISBN:9781337514835Author:MOYERPublisher:CENGAGE LEARNING - CONSIGNMENT