8-8. What is the standard deviation of returns for the following stock?StateBoomNormalBustProbability0.300.400.30Return on A0.10500.0400-0.0250Assuming that the returns are normally distributed, what is the probability that the stock will losevalue (have a return less than zero)? Use 4.00% for the standard deviation.

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Answered: 8-8. What is the standard deviation of…

FINANCIAL ACCOUNTING

10th Edition

ISBN:9781259964947

Author:Libby

Publisher:Libby

Chapter1: Financial Statements And Business Decisions

Section: Chapter Questions

Problem 1Q

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Suppose that stock market returns are normally distributed with a mean of 7% and a standard deviation of 20%. There should be about a 16% chance of getting a return less than _______%. Write your answer as a whole number: eg, -15% = -15.
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
U Assume CAPM holds. We know expected return and beta of two stocks: Stock A: E[ra] = 10% and beta_a = 1.5 Stock B: E[rb] = 5% and beta_b = 0.5 What would be the expected return of a stock that has a beta of 0.9? O 6.5% Ⓒ7% O 7.5% O 6% Question 5 Which of the following statements is false? o The CAPM follows from equilibrium conditions in a frictionless mean-variance economy with rational investors According to CAPM, everyone should hold a mix of the market portfolio and the risk-free asset. According to CAPM, everyone can generate positive return by buying positive alpha stocks and by selling negative alpha stocks. According to CAPM, the expected return on a stock is a linear function of its beta.
Consider the following information: State of Economy Probability of State of Economy Rate of Return if State Occurs Stock A Stock B Recession .17 .08 −.12 Normal .58 .11 .17 Boom .25 .16 .34 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.)
Consider the following information: State of Economy Probability of State of Economy Boom Bust .68 :32 a. Expected return b. Variance of portfolio Rate of Return if State Occurs Stock A Stock B Stock C .11. .15 .05 .21 .26 -.06 a. What is the expected return on an equally weighted portfolio of these three stocks? Note: 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 23 percent each in A and B and 54 percent in C? Note: Do not round intermediate calculations and round your answer to 5 decimal places, e.g., .16161.
Consider the following information: State of Economy Probability of State of Economy Boom Bust .72 .28 a. Expected return b. Variance of portfolio Rate of Return if State Occurs Stock A Stock B .04 .25 13.73 % .10 .19 a. What is the expected return on an equally weighted portfolio of these three stocks? Note: 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 27 percent each in A and B and 46 percent in C? Note: Do not round intermediate calculations and round your answer to 5 decimal places, e.g., .16161. Stock C .30 -.10
Suppose that stock market returns are normally distributed with a mean of 7% and a standard deviation of 20%. There should be about a 2.5% chance of getting a return greater than %. Write your answer as a whole number: eg, 28% = 28.
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
Stocks A and B have the following probability distributions of expected future returns: Probability B A 0.1 (6%) (38%) 0.1 4 0 0.6 14 24 0.1 24 27 0.1 37 43 a. Calculate the expected rate of return, ^B, for Stock B (A = 14.30%.) Do not round intermediate calculations. Round your answer to two decimal places. % b. Calculate the standard deviation of expected returns, OA, for Stock A (σB = 20.93%.) 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? I. If Stock B is more highly correlated with the market than A, then it might have a lower beta than Stock A. and hence be less risky in a portfolio sense.
Consider the following information: Rate of Return if State Occurs State of Economy Probability of State of Economy Boom Bust .66 .34 Stock A .09 .23 Stock B .03 Stock C .34 .29 -.14 a. What is the expected return on an equally weighted portfolio of these three stocks? Note: 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 21 percent each in A and B and 58 percent in C? Note: Do not round intermediate calculations and round your answer to 5 decimal places, e.g., .16161. a. Expected return b. Variance of portfolio 14.43 %
What are the expected returns for stock A and stock B? State Probability Return on A Return on B Boom .60 0.35 0.10 Bust .40 0.05 0.25 a. 15.50%, 10.83% b. 26.00%, 14.50% c. 23.00%, 16.00% d. 21.50%, 16.75%
Consider the following information: State of Economy Probability of State of Economy Rate of Return if State Occurs Stock A Stock C Boom .14 Bust .16 a. b. Stock B .58 .42 .22.40 .06-.05 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.) What is the variance of a portfolio invested 22 percent each in A and B and 56 percent in C? (Do not round intermediate calculations and round your answer to 6 decimal places, e.g., .161616.)

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