Suppose your expectations regarding the stock price are as follows: State of the Market Boom Normal growth Recession HPR (including Probability Ending Price dividends 0.20 $ 140 47.5% 0.29 110 13.0 0.51 80 -20.0 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 on stocks. Note: Do not round intermediate calculations. Round your answers to 2 decimal places. Mean Standard deviation % %

Suppose your expectations regarding the stock price are as follows: State of the Market Boom Normal growth Recession HPR (including Probability Ending Price dividends 0.20 $ 140 47.5% 0.29 110 13.0 0.51 80 -20.0 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 on stocks. Note: Do not round intermediate calculations. Round your answers to 2 decimal places. Mean Standard deviation % %

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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am. 123.
Problem 2. Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA = 2.00% + 1.10RM + A RB = -0.60% + 0.90RM + eB The R-squared of the estimate for stock A is 0.35 and the R-squared of the estimate for stock B is 0.40. The standard deviation of the market is OM = 30%. Assume you create portfolio P with weights of 120% in A and -20% in B. These weights mean that you go long stock A and short stock B. a) What is the standard deviation of the portfolio? [Hint: R-squared is the variance explained by the market risk B²o divided by the variance in the stock o}.] b) What is the beta of the portfolio? c) What is the firm-specific variance of the portfolio? (Round to 3 decimals.)
Expected Returns: Discrete Distribution The market and Stock J have the following probability distributions: Probability rM rJ 0.3 15% 20% 0.4 9 7 0.3 18 10 Calculate the expected rates of return for the market and Stock J. Round your answers to one decimal place. Expected rate of return (Market): % Expected rate of return (Stock J): % Calculate the standard deviations for the market and Stock J. Do not round intermediate calculations. Round your answers to two decimal places. Standard deviation (Market): % Standard deviation (Stock J): %
An analyst has estimated how a particular stock’s return will vary depending on what will happen to the economy. What is the standard deviation? STATE OF THEECONOMY PROBABILITY OFSTATE OCCURRING STOCK'S EXPECTEDRATE IF THISSTATE OCCURS Recession Below Average Average Above Average Boom .10 .20 .40 .20 .10 (.60) (.10) .15 .40 .90
Given the following excess return index model regression results Ra*= -0.059616 + 0.957478Rm* where; \sigma M = 0.80226720, the return on the market portfolio is 0.085306, and the risk-free rate is 0.018302. Note Ra* and Rm* are excess returns. Calculate the actual return for Stock A. Round to 4 decimals, and present answer as a decimal (.08, not 8%) Answer: 0.0228
Consider the following information: Rate of Return if State Occurs State of Economy Probability of State of Economy Stock A Stock B Recession 21 .06 21 Normal 58 109 08 Boom 21 14 25 a. Calculate the expected return for Stocks A and B. (Do not round Intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) b. Calculate the standard deviation for Stocks A and B. (Do not round Intermedlate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) a. Stock A expected return a. Stock B expected return b. Stock A standard deviation b. Stock B standard deviation 196 96 96 %
Consider the following information: State of Economy Recession. Normal Boom Probability of State of Economy .17 .58 .25 Rate of Return if State Occurs Stock A Stock B .08 -.12 11 .17 .34 a. Stock A expected return a. Stock B expected return b. Stock A standard deviation b. Stock B standard deviation a. Calculate the expected return for Stocks A and B. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) b. Calculate the standard deviation for Stocks A and B. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) .16 Answer is complete but not entirely correct. 9.86 % 21.46 % 7.70 % 9.50 %
Given the information below, compute the expected return and standard deviation for the two stocks: Economic condition Probability Stock A Return Recession Normal Boom 0.30 0.55 0.15 6% 7% 11% Stock B Return -20% 13% 33%
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Please also explain calculations/steps. 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 (20%) Below average 0.1 (5) Average 0.5 15 Above average 0.2 27 Strong 0.1 50 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:
. Suppose your expectations regarding the stock price are as follows: Selling price = 100 T-bills = 6% dividend = 10 per 100 value State of market Probability Ending price Вoom 0.3 140 Normal growth 0.4 110 Recession 80 0.3 Calculate the HPR for each scenario, the expected rate of return, and the risk premium on your investment, and standard deviation of excess return.

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