4. An investor anticipates the following forecasted returns in three scenarios for two stocks andthe market index:ScenarioProbabilityMABRecessionStagnationGrowtha. Compute the expected return and risk of A and B.0.26%10%4%0.510%12%8%0.320%24%16%b. Compute the beta coefficients and the return at equilibrium given a risk-free rate of 5%.c. Compute the expected return and risk on a portfolio composed of A and B in proportions of30% and 70%.

To Find: Expected return Beta Coefficients Expected return and risk of portfolio

4. An investor anticipates the following forecasted returns in three scenarios for two stocks and the market index: Scenario Recession Stagnation Growth a. Compute the expected return and risk of A and B. Probability 0.2 M 6% A B 10% 12% 24% 4% 0.5 0.3 10% 20% 8% 16% b. Compute the beta coefficients and the return at equilibrium given a risk-free rate of 5%. c. Compute the expected return and risk on a portfolio composed of A and B in proportions of с. 30% and 70%.

4. An investor anticipates the following forecasted returns in three scenarios for two stocks and the market index: Scenario Recession Stagnation Growth a. Compute the expected return and risk of A and B. Probability 0.2 M 6% A B 10% 12% 24% 4% 0.5 0.3 10% 20% 8% 16% b. Compute the beta coefficients and the return at equilibrium given a risk-free rate of 5%. c. Compute the expected return and risk on a portfolio composed of A and B in proportions of с. 30% and 70%.

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Consider the following two scenarios for the economy and the expected returns in each scenario for the market portfolio, an aggressive stock A, and a defensive stock D. Scenario Bust Boom Market -7% 19 Rate of Return Aggressive Stock A -10% 25 Defensive Stock D -5% 15 Required: a. Find the beta of each stock. b. If each scenario is equally likely, find the expected rate of return on the market portfolio and on each stock. c. If the T-bill rate is 4%, what does the CAPM say about the fair expected rate of return on the two stocks? d. Which stock seems to be a better buy on the basis of your answers to (a) through (c)? > Answer is complete but not entirely correct. Complete this question by entering your answers in the tabs below. Required A Required B Required C Required D Find the beta of each stock. Note: Round your answers to 2 decimal places. Beta Stock A Stock D 3.31 x 1.54
Consider the following information: State of Economy Probability of State of Economy Rate of Return if State Occurs Stock A Stock B Recession 0.30 0.05-0.15 Normal 0.55 0.15 0.15 Boom 0.15 0.20 0.35 Calculate the expected return for the two stocks.
Consider a portfolio consisting of the following three stocks: an expected return of 8%. The risk-free rate is 3%. a. Compute the beta and expected return of each stock. ▪ The volatility of the market portfolio is 10% and it has b. Using your answer from part a, calculate the expected return of the portfolio. c. What is the beta of the portfolio? d. Using your answer from part c, calculate the expected return of the portfolio and verify that it matches your answer to part b.
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?
We know the following expected returns for stocks A and B, given the different states of the economy: State(s) Probability E(rA,s) E(rB,s) Recession 0.1-0.06 0.04 Normal 0.5 0.09 0.07 Expansion 0.4 0.17 0.11 What is the standard deviation of returns for stock B?
Assume that using the Security Market Line (SML) the required rate of return (RA) on stock A is foundto be half of the required return (RB) on stock B. The risk-free rate (Rf) is one-fourth of the requiredreturn 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 payreturns of 15% with the standard deviation equal to 20%. Asset A pays on average 5%, has standarddeviation equal to 20% and is NOT correlated with the S&P500. Asset B pays on average 8%, also hasstandard deviation equal to 20% and has correlation of 0.5 with the S&P500. Determine whetherasset A and B are overvalued or undervalued, and explain why. (Hint: Beta of asset i (??) =???????, where ??,?? are standard deviations of asset i and marketportfolio, ??? is the correlation between asset i and the market portfolio)Question 2. Foreign exchange marketsStatoil, the national…
Consider the following information on Stocks I and II: Probability of State of Economy State of Economy Rate of Return if State Occurs Stock I Stock II Recession .22 .045 -.37 Normal .62 .355 .29 Irrational .16 exuberance .215 .47 The market risk premium is 11.7 percent, and the risk-free rate is 4.7 percent. a. Calculate the beta and standard deviation of Stock I. Note: Do not round intermediate calculations. Enter the standard deviation as a percent and round both answers to 2 decimal places, e.g., 32.16. b. Calculate the beta and standard deviation of Stock II. Note: Do not round intermediate calculations. Enter the standard deviation as a percent and round both answers to 2 decimal places, e.g., 32.16. c. Which stock has the most systematic risk? d. Which one has the most unsystematic risk? e. Which stock is "riskier"? a. Beta Standard deviation b. Beta Standard deviation c. Most systematic risk d. Most unsystematic risk e. "Riskier" stock 1.94 % %
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.
Currently the risk-free rate equals 5% and the expected return on the market portfolio equals 11%. An investment analyst provides you with the following information: Stock A Beta 1.33 Expected Return 12% Stock B Beta 0.7 Expected Return 10% (a) Calculate the reward-to-risk ratios of stock A, stock B and in market equilibrium. Are stock A and stock B overvalued, undervalued or fairly valued? Briefly explain. [within 150 words] (b) You want a portfolio with the same risk as the market. Calculate the weights of stock A and B respectively. (please show me steps and round the final answer to 2 decimal places, thanks)
E(FAssume 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 (Rs) on stock B. The risk-free rate (R;) 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). a o
Stocks A and B have the following probability distributions of expected future returns: Probability A B 0.1 (7 %) (26 %) 0.1 3 0 0.5 14 22 0.2 20 26 0.1 36 50 Calculate the expected rate of return, , for Stock B ( = 14.20%.) Do not round intermediate calculations. Round your answer to two decimal places. % Calculate the standard deviation of expected returns, σA, for Stock A (σB = 18.68%.) Do not round intermediate calculations. Round your answer to two decimal places. % Now calculate the coefficient of variation for Stock B. Do not round intermediate calculations. Round your answer to two decimal places. Is it possible that most investors might regard Stock B as being less risky than Stock A? If Stock B is less highly correlated with the market than A, then it might have a higher beta than Stock A, and hence be more risky in a portfolio sense. If Stock B is more highly correlated with the market than A, then it might have a higher…
We know that two stocks A and B are correctly priced by the CAPM model. For A, the expected return is 12%, and the beta is 1.5; for B, the expected return is 6%, and the beta is 0.5. Based on this information, what is the risk free rate and expected market return? Select one: A. 3%; 9% B. 3%; 6% C. 2%; 8% D. 4%; 10%

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