Suppose your expectations regarding the stock market are as follows: State of the Economy Boom Normal growth Recession E(r) = P(s)r(s) Probability HPR 0.4 43% 0.5 23 0.1 -16 Var (r)²== P(s)[r(s) - E(r)]² SD (r) ==√√Var (r) Required: Use above equations to compute the mean and standard deviation of the HPR on stocks. (Do not round intermediate calculations. Round your answers to 2 decimal places.) Mean Standard deviation wwwwwwwwwwwwwwwwwwww % %

Suppose your expectations regarding the stock market are as follows: State of the Economy Boom Normal growth Recession E(r) = P(s)r(s) Probability HPR 0.4 43% 0.5 23 0.1 -16 Var (r)²== P(s)[r(s) - E(r)]² SD (r) ==√√Var (r) Required: Use above equations to compute the mean and standard deviation of the HPR on stocks. (Do not round intermediate calculations. Round your answers to 2 decimal places.) Mean Standard deviation wwwwwwwwwwwwwwwwwwww % %

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 about Stocks I and II: State of Economy Recession Normal Irrational exuberance Probability of State of Economy .20 .60 .20 Rate of Return if State Occurs Stock I .04 .26 .10 Stock II -.35 15 .55 The market risk premium is 5 percent, and the risk-free rate is 4 percent. (Do not round intermediate calculations. Enter your standard deviation answers as a percent rounded to 2 decimal places, e.g., 32.16. Round your beta answers to 2 decimal places, e.g., 32.16.)
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
37. An analyst developed the following probability distribution of the rate of return for a common stock: Rate of return Scenario Recession -0.05 0.10 0.25 What's the standard deviation of the rate of return? Show your calculations. n k=ZkP |o= i=1 A. 0.0549. B. 0.0649. Normal Boom . 0.0749. D. 0.0849 E. 0.0949. 건 Probability 0.20 0.60 0.20 i-1 (k₂ − Ê)² P₂.
Consider the following information on Stocks I and II: State of Economy Recession Normal Irrational exuberance. Probability of State) of Econony 15 .70 .15 a. Stock I beta Stock Il beta. b. Stock I standard deviation Stock Il standard deviation Rate of Return if State Occurs. Stock I Stock II 05 18 07 The market risk premium is 7 percent, and the risk-free rate is 3.5 percent. a. Calculate the beta of each stock. Note: Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16. b. Calculate the standard deviation of each stock. c. More systematic nsk d. More unsystematic risk e. "Riskier stock Note: Do not round intermediate calculations and enter your answers as a percent rounded 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 "riskler"? -.21 .10 39 % %
Listed below is the return probability distribution associated with the stocks of XYZ Company and the market portfolio under different states of the economy: State Recession Normal Boom 0.00452 O 0.00552 0.00652 Probability O 0.00752 0.4 0.3 0.3 XYZ Return What is the covariance between XYZ return and Market return? -3% 14% 20% Market Return 2% 8% 16%
Consider the following returns and states of the economy for TZ.Com.: Economy Probability Return Weak 15% 2% Normal 50% 8% Strong 35% 15% What is the standard deviation of TZ's returns?
Based on the information in the yellow shaded areas: a) Plot the Security Market Line (SML) b) Superimpose the CAPM’s required return on the SML c) Indicate which investments will plot on, above and below the SML?
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.
2
Consider the following information: Economy Recession Normal Boom Probability of State of Economy .21 .56 .23 Rate of Return if State Occurs Stock A Stock B a. Expected return of A Expected return of B b. Standard deviation of A Standard deviation of B .015 .095 .250 a. Calculate the expected return for the two stocks. Note: Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16. -.36 .26 .49 b. Calculate the standard deviation for the two stocks. Note: Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16. % % %
Based on the following information, calculate the expected return and standard deviation for Stock A and Stock B. Input area: State Probability Stock A Stock B Recession 0.15 0.04 (0.17) Normal 0.55 0.09 0.12 Boom 0.30 0.17 0.27 (Use cells A6 to D9 from the given information to complete this question.) Output area: Stock A Probability Return Product Return deviation Squared deviation Product Recession Normal Boom B э O Standard deviation Stock B 2 Recession 3 Normal 4 Boom 5 26 Standard Deviation 27 28 E(R) Variance Probability Return Product Return deviation Squared deviation Product E(R) Variance
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

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