Consider the following table, which gives a security analyst's expected return on two stacks and the market iAggressiveDefensiveScenarioProbability Market ReturnStackStock10.50.52.6%4.4%1627Required:a. What are the belas of the two storks? (Round your answers to 2 decimal places.)Beta ABeta Db. What is the expected rate of return on each stack? (Round your answers to 2 decimal places.)Rate of return on ARata of return on D%%

Expected return refers to the rate of return that is being earned by the investors over the…

Consider the following table, which gives a security analyst's expected return on two stacks and the Defensive Stock Appressive Scenario Probability Market Return Stak 9.5 0.5 2.6% 4.4% 16 27 14 Required: a. What are the belas of the two storks (Round your answers to 2 decimal places.) Beta A Beta D b. What is the expected rate of return on each stack? (Round your answers to 2 decimal places.) Rate of return on A Rate of retum on D %

Consider the following table, which gives a security analyst's expected return on two stacks and the Defensive Stock Appressive Scenario Probability Market Return Stak 9.5 0.5 2.6% 4.4% 16 27 14 Required: a. What are the belas of the two storks (Round your answers to 2 decimal places.) Beta A Beta D b. What is the expected rate of return on each stack? (Round your answers to 2 decimal places.) Rate of return on A Rate of retum on D %

Intermediate Financial Management (MindTap Course List)

13th Edition

ISBN:9781337395083

Author:Eugene F. Brigham, Phillip R. Daves

Publisher:Eugene F. Brigham, Phillip R. Daves

Chapter2: Risk And Return: Part I

Section: Chapter Questions

Problem 3Q: Security A has an expected return of 7%, a standard deviation of returns of 35%, a correlation...

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Security A has an expected return of 7%, a standard deviation of returns of 35%, a correlation coefficient with the market of −0.3, and a beta coefficient of −1.5. Security B has an expected return of 12%, a standard deviation of returns of 10%, a correlation with the market of 0.7, and a beta coefficient of 1.0. Which security is riskier? Why?
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.)
Assume that security returns are generated by the single-index model, Ri = alphai + BetaiRM + ei where 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 Betai E(Ri) sigma(ei) A 1.4 15% 28% B 1.6 17% 14% C 1.8 19% 23% a. If simaM = 24%, calculate the variance of returns of securities A, B, and C (round to whole number). Variance Security A Security B Security 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 whole number decimal and the mean as a whole number percentage)? Mean Variance Security A ?% Security B ?% Security C ?%
Consider the following data for two risk factors (1 and 2) and two securities (J and L):λ0 = 0.07 λ1 = 0.04 λ2 = 0.06bJ1 = 0.10 bJ2 = 1.60 bL1 = 1.80 bL2 = 2.45a. Compute the expected returns for both securities. b. Suppose that Security J is currently priced at $50 while the price of Security L is $15.00.Further, it is expected that both securities will pay a dividend of $0.95 during the coming year.What is the expected price of each security one year from now? c. Compute the correlation between stock A and stock B considering the following data.Standard deviation of stock A = 10 percentStandard deviation of stock B = 17 percentCovariance between the two stocks = 90.
Given 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
Suppose you observe the following situation: Security Beta Expected Return Pete Corp. 1.70 0.180 Repete Col 1.39 0.153 What is the risk-free rate? (Do not round intermediate calculations. Round the final answer to 3 decimal places) Risk-free rate % Assume these securities are correctly priced. Based on the CAPM, what is the expected return on the market? (Do not round intermediate calculations. Round the final answers to 2 decimal places.) Expected Return on Market Pete Corp. Repete Co.%
Consider a financial market consisting of a bank account So(t) and a stock S₁ (t) modelled on a probability space (2, F, P) with the time indices t = 0, 1, 2, ..., T. consider a one period financial market model with T = 1, S = {w₁, W₂}, F is the collection of all events and P is a probability measure such that P({w₁}) > 0, P({₂}) > 0. Assume that So(0) = 1, S₁ (0) = d> 0 and So(1,₂)= (1+r) So(1, ₁) = S₁(1, ₁) = S₁ (1, ₂) = where 0 0 is the interest rate. Question: d₁, d₂, a) Write the payoff of the European call option with strike price K. b) Assume d = 5, r = 0.2, d₁ = 3, d₂ = 8, K = 7. Find the price of the option. c) Find the replicating strategy for the option.
Assume that the expected rates of return and the beta coefficients of the alternatives supplied by an independent analyst are as follows: Security Estimated rate of returns Beta Nescom 5% 1.5 Market 4 1 Pk_Steel 3.5 0.75 T_Bills 3 0 Nawab 1 -0.6 What is a beta coefficient, and how are betas used in risk analysis? Do the expected returns appear to be related to each alternative’s market risk? Is it possible to choose among the alternatives on the basis of the information developed thus far?
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 = -0.14
PLEASE ANSWER ALL THE QUESTIONS Question 1 Fill the parts in the above table that are shaded in yellow. You will notice that there are nine line items. Question 2 Using the data generated in the previous question (Question 1);a) Plot the Security Market Line (SML) b) Superimpose the CAPM’s required return on the SML c) Indicate which investments will plot on, above and below the SML? d) If an investment’s expected return (mean return) does not plot on the SML, what does it show? Identify undervalued/overvalued investments from the graph Question 3 From the information generated in the previous two questions; a) Identify two investment alternatives that can be combined in a portfolio. Assume a 50-50 investment allocation in each investment alternative. b) Compute the expected return of the portfolio thus formed. c) Compute the portfolio’s beta. Is the portfolio aggressive or defensive?
Which of the two securities are the best? By using probability estimates, below is the computation of ff. statistics: Statistic Security A Security B Expected return Standard deviation 12% 20% 8% 10% Requirement Calculate the coefficient of variation for each security Explain why the standard deviation and coefficient of variation give different ranking of risk. Which method is superior and why?
Suppose you observe the following situation: Security Beta Expected Return Pete Corp. 1.70 0.180 Repete Co. 1.39 0.153 What is the risk - free rate? (Do not round intermediate calculations. Round the final answer to 3 decimal places.) Risk - free rate % Assume these securities are correctly priced. Based on the CAPM, what is the expected return on the market? (Do not round intermediate calculations. Round the final answers to 2 decimal places.) Expected Return on Market Pete Corp. % Repete Co. %