8-1EXPECTED RETURN A stock's returns have the following distribution:Demand for theCompany's ProductsWeakBelow averageProbability of thisDemand Occurring0.1Rate of Return if thisDemand Occurs(30%)0.1(14)AverageAbove averageStrong0.3110.3200.2451.0Assume the risk-free rate is 2%. Calculate the stock's expected return, standard deviation,coefficient of variation, and Sharpe ratio.

Expected rate of return:It is difficult to arrive at a single accurate figure of the rate of return…

Demand for the Company's Products Probability of this Demand Occurring Weak 0.1 Rate of Return if this Demand Occurs (30%) Below average 0.1 (14) Average 0.3 11 Above average 0.3 20 Strong 0.2 45 1.0 Assume the risk-free rate is 2%. Calculate the stock's expected return, standard deviation, coefficient of variation, and Sharpe ratio.

Demand for the Company's Products Probability of this Demand Occurring Weak 0.1 Rate of Return if this Demand Occurs (30%) Below average 0.1 (14) Average 0.3 11 Above average 0.3 20 Strong 0.2 45 1.0 Assume the risk-free rate is 2%. Calculate the stock's expected return, standard deviation, coefficient of variation, and Sharpe ratio.

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 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 % %
Consider the following information: State of Probability of Economy State of Economy Boom Bust 0.62 0.38 Rate of Return if State Occurs Stock A 0.09 0.20 Stock B 0.17 0.06 Stock C 0.35 -0.10 6 a. What is the expected return on an equally weighted portfolio of these three stocks? (Do not round intermediate calculations. Round the final answer to 2 decimal places.) Expected return % b. What is the variance of a portfolio invested 20% each in A and B and 60% in C? (Do not round intermediate calculations. Roun the final answer to 6 decimal places.) Variance
A stock's returns have the following distribution: Demand for theCompany's Products Probability of thisDemand Occurring Rate of Return ifthis Demand Occurs Weak 0.1 (22%) Below average 0.2 (13) Average 0.3 17 Above average 0.3 39 Strong 0.1 64 1.0 Assume the risk-free rate is 2%. Calculate the stock's expected return, standard deviation, coefficient of variation, and Sharpe ratio. Do not round intermediate calculations. Round your answers to two decimal places. Stock's expected return: % Standard deviation: % Coefficient of variation: Sharpe ratio:
You've estimated the following expected returns for a stock, depending on the strength of the economy: State (s) Probability Expected return Recession 0.1 -0.05 Normal 0.5 0.06 Expansion 0.4 0.11 What is the expected return for the stock? What is the standard deviation of returns for the stock?
Capm
Consider the following information: State of Economy Boom Bust Probability of State of Economy a. Expected return b. Variance .60 .40 Rate of Return if State Occurs % Stock A Stock B .23 .08 .15 .18 a. What is the expected return on an equally weighted portfolio of these three stocks? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b. What is the variance of a portfolio invested 24 percent each in A and B and 52 percent in C? (Do not round intermediate calculations and round your answer to 6 decimal places, e.g., .161616.) Stock C .42 -.09
A stock's returns have the following distribution: Standard deviation: Coefficient of variation: Sharpe ratio: % Demand for the Company's Products Weak Below average % Average Above average Strong Probability of this Demand Occurring Assume the risk-free rate is 3%. Calculate the stock's expected return, standard deviation, coefficient of variation, and Sharpe ratio. Do not round intermediate calculations. Round your answers to two decimal places. Stock's expected return: 0.1 0.1 0.4 0.3 0.1 1.0 Rate of Return if this Demand Occurs (38%) (11) 15 23 56
Consider the following multifactor (APT) model of security returns for a particular stock. Factor Factor Beta Factor Risk Premium Inflation 1.1 9% Industrial production 0.7 11 Oil prices 0.3 7 Required: If T - bills currently offer a 6% yield, find the expected rate of return on this stock if the market views the stock as fairly priced. Suppose that the market expects the values for the three macro factors given in column 1 below, but that the actual values turn out as given in column 2. Calculate the revised expectations for the rate of return on the stock once the "surprises" become known. Factor Expected Value Actual Value Inflation 7 % 3% Industrial production 6 7 Oil prices 4 0 Note: For all requirements, do not round intermediate calculations. Round your answers to 1 decimal place.
Suppose your expectations regarding the stock price are as follows: HPR (including dividends) State of the Market Boom Normal growth Recession Probability Ending Price 0.35 0.30 0.35 Mean Standard deviation Use the equations E (r) = Ep (s) r(s) and o² = Ep (s) [r(s) – E(r)]² to compute the mean and standard deviation of the HPR S S on stocks. Note: Do not round intermediate calculations. Round your answers to 2 decimal places. do do $ 140 110 80 % 44.5% 14.0 -16.5 %
Assume the market return is 14% with a standard deviation of 20%, and risk-free rate is 8%. The average annual returns for Managers D, E, and F are 13%, 17%, and 16% respectively. The corresponding standard deviations are 18%, 22%, and 23%. What are the Sharpe ratios for the market and managers?

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