11.2. Below are the expected returns from both stocks based on the probability of economic conditions. It is desired to create a portfolio from two stocks. It is decided to invest 30% in stock A and 70% in stock B. Stock A State (i) p(i) E(R) Recession 0.50 -40% Neutral 0.40 15% Вoom 0.10 30% 1.00 Stock B State (i) p(i) E(R) Recession 0.5 40% Neutral 0.40 15% Вoom 0.1 -20% 1.00 a- Compute the expected return and standard deviation of each stock. b- Find the covariance of stocks A and B? c- Find the correlation coefficient between stocks A and B?( d- Find the expected return and standard deviation of this portfolio? e- If you were a portfolio manager, what type of investors do you recommend this portfolio and why? f- Explain why the beta of the market is always equal to 1 and beta of a treasury bill equal to 0.

11.2. Below are the expected returns from both stocks based on the probability of economic conditions. It is desired to create a portfolio from two stocks. It is decided to invest 30% in stock A and 70% in stock B. Stock A State (i) p(i) E(R) Recession 0.50 -40% Neutral 0.40 15% Вoom 0.10 30% 1.00 Stock B State (i) p(i) E(R) Recession 0.5 40% Neutral 0.40 15% Вoom 0.1 -20% 1.00 a- Compute the expected return and standard deviation of each stock. b- Find the covariance of stocks A and B? c- Find the correlation coefficient between stocks A and B?( d- Find the expected return and standard deviation of this portfolio? e- If you were a portfolio manager, what type of investors do you recommend this portfolio and why? f- Explain why the beta of the market is always equal to 1 and beta of a treasury bill equal to 0.

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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11.2. Below are the expected returns from both stocks based on the probability of economic conditions. It is desired to create a portfolio from two stocks. It is decided to invest 30% in stock A and 70% in stock B. Stock A State (i) p(i) E(R) Recession 0.50 -40% Neutral 0.40 15% Boom 0.10 30% 1.00 Stock B State (i) p(i) E(R) Recession 0.5 40% Neutral 0.40 15% Вoom 0.1 -20% 1.00 d- Find the expected return and standard deviation of this portfolio? e- If you were a portfolio manager, what type of investors do you recommend this portfolio and why? f- Explain why the beta of the market is always equal to 1 and beta of a treasury bill equal to 0.
Consider information given in the table below and answers the question asked thereafter: State Probability return on stock A Return on stock B A 0.15 10% 9% B 0.15 6% 15% C 0.10 20% 10% D 0.18 5% -8% E 0.12 -10% 20% F 0.30 8% 5% i. Calculate expected return on each stock? On the basis of this measure, which stockyou will choose?ii. Calculate standard deviation of the returns on each stock? On the basis of thismeasure, which stock you will choose?iii. Calculate coefficient of variance of the returns on each stock? On the basis of thismeasure, which stock you will choose?
Consider the three stocks in the following table. Pe represents price at time t, and Qe represents shares outstanding at time t Stock C splits two for one in the last period. Stock A B С PO 80 85 35 20 275 650 950 a. Rate of return b. New divisor c. Rate of return P1 85 80 50 01 275 650 950 % P₂ Required: a. Calculate the rate of return on a price-weighted index of the three stocks for the first period (t=0 to t= 1). Note: Do not round intermediate calculations. Round your answer to 2 decimal places. b. Calculate the new divisor for the price-weighted index in year 2. Note: Do not round intermediate calculations. Round your answer to 2 decimal places. c. Calculate the rate of return for the second period (t=1 to t=2). Note: Round your answer to 2 decimal places. % 85 80 25 02 275 650 1,900
Consider the three stocks in the following table. Pt represents price at time t, and Qt represents shares outstanding at time t. Stock C splits two-for-one in the last period. A B C Ро 90 50 100 Rate of return Divisor во 100 200 200 P1 95 45 110 Required: a. Calculate the rate of return on a price-weighted index of the three stocks for the first period (t = 0 to t = 1). (Do not round intermediate calculations. Round your answer to 2 decimal places.) Rate of return % 01 100 200 200 P2 95 45 55 b. What will be the divisor for the price-weighted index in year 2? (Do not round intermediate calculations. Round your answer to 2 decimal places.) 92 100 200 400 % c. Calculate the rate of return of the price-weighted index for the second period (t = 1 to t = 2).
A3) Finance What is the expected standard deviation of stock A's returns based on the information presented in the table? Outcome Probability of outcome Stock A return in outcome : Good 16% 65.00% Medium 51% 17.00% Bad "?" -35.00%
Consider the following information: Rate of return State of Economy Probability Stock A Stock B Recession 0.30 -40% 6% Normal 0.50 18% 4% Воom 0.20 142% 2% [Note: take full decimal places in the middle steps and round your FINAL answer to 2 decimal places (i.e. S1.23 or 1.23%)] (a) Calculate the expected return for the two Stocks A and B respectively. (in %) (b) Calculate the standard deviation for the two Stocks A and B respectively. (in %) (c) If you have $2 million to invest in a stock portfolio and your goal is to create a portfolio with an expected return of 16.92%, how much money will you invest in Stock A and Stock B respectively? (d) Based on your answer in part (c), calculate the standard deviation for the portfolio. (in %) (e) If enough stocks (i.e. 100 randomly selected stocks) had been included in the portfolio, what happen to the standard deviation for the portfolio? Explain. [within 100 words]
Problem 8.06 (Expected Returns) Stock A and Bs have the following profitability distributions of expected future returns's Profitability 0.1 0.1 0.5 0.2 0.1 A (890) 니 16 18 31 B (20%) 0 20 27 37 a) Calculate the expected rate of return, FB, for stock B3 (FA= 14,30%) b) Calculate the standard denation of expected returns, OA, for stock A (OB = 15.18% 2 Now calculate the coefficient of variation for stock B. C) Assume the risk-rate is 1.5% What are the Sharpe rutius for Stacks A and B? Stock A. Stock Bi
Using the equity asset valuation model (CAPM) equation, determine the required return for the shares of the following companies, if the market return is 7.50% (Rm = 7.50%) and the risk-free asset return is 1.25% (RF = 1.25%). You must show all counts. Stock Beta SKT 0.65 COST 0.90 SU 1.42 AMZN 1.57 V 0.94
The following three stocks are available in the market: E(R) β Stock A 11.0 % 1.32 Stock B 14.2 1.12 Stock C 16.7 1.52 Market 14.6 1 Assume the market model is valid. a. The return on the market is 15.4 percent and there are no unsystematic surprises in the returns. What is the return on each stock? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) b. Assume a portfolio has weights of 30 percent Stock A, 45 percent Stock B, and 25 percent Stock C. The return on the market is 15.4 percent and there are no unsystematic surprises in the returns. What is the return on the portfolio? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)
Suppose you are given the following information about 2 stocks, what is the expected return of a portfolio weighted 55% in stock A and 45% in stock B? E(RA)=16% E(RB)=8% σA=22% σB=12% σA,B=−0.003696 Enter rate in decimal form, rounded to 4th digit, as in "0.1234"
The following three stocks are available in the market: E(R) В 10.4% 1.26 Stock A Stock B 13.6 1.06 Stock C 16.1 1.46 Market 14.0 1 Assume the market model is valid. a. The return on the market is 14.8 percent and there are no unsystematic surprises in the returns. What is the return on each stock? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) b. Assume a portfolio has weights of 30 percent Stock A, 45 percent Stock B, and 25 percent Stock C. The return on the market is 14.8 percent and there are no unsystematic surprises in the returns. What is the return on the portfolio? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) a. Stock A a. Stock B a. Stock C b. Portfolio return -26.75 % % % %
Consider the following stocks with equal probabilities of return: Outcome Return Stock A Return Stock B 1 -5% 2% 2 10% 12% 3 18% 15% a. compute the expected returns of stock A and B. b. compute the total risk and relative risk of stock A and B. Which stock is risky? c. Ignoring the probabilities, what is the total risk and relative risk of stock A and B? Which stock is risky? Round-off final answers only to two decimal places. Attach hand-written/excel solution here.

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