State of Economy Probability of State of Economy Rate of Return if State Occurs Stock A Stock B Stock C Boom .21 .368 .468 .348 Good Poor .39 .138 .118 .188 .29 Bust .11 .028 -.128 .038 -.093 -.268 -.108 a. Your portfolio is invested 29 percent each in A and C and 42 percent in B. What is the expected return of the portfolio? 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 this portfolio? Note: Do not round intermediate calculations and round your answer to 5 decimal places, e.g., .16161. c. What is the standard deviation of this portfolio? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. a. Expected return b. Variance c. Standard deviation % %

State of Economy Probability of State of Economy Rate of Return if State Occurs Stock A Stock B Stock C Boom .21 .368 .468 .348 Good Poor .39 .138 .118 .188 .29 Bust .11 .028 -.128 .038 -.093 -.268 -.108 a. Your portfolio is invested 29 percent each in A and C and 42 percent in B. What is the expected return of the portfolio? 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 this portfolio? Note: Do not round intermediate calculations and round your answer to 5 decimal places, e.g., .16161. c. What is the standard deviation of this portfolio? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. a. Expected return b. Variance c. 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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State of Economy Probability ABC Company Expected Return Expected Return XYZ Company Very Poor 0.30 -9% -19% Poor 0.25 -8% -6% Good 0.15 8% 9% Very Good 0.30 34% 33% Expected Return 6.70% 4.05% A) Calculate the covariance of the portfolio. Please answer as a decimal to 4 decimal places. Answer:
Consider the following information: State of Economy Boom Good Poor Bust Probability of State- of Economy 15 .55 a. Expected return b-1. Variance b-2. Standard deviation 25 .05 Rate of Return if State Occurs Stock A Stock B Stock C .33 .43 .23 .18 14 .12 -.05 -.13 a. Your portfolio is invested 26 percent each in A and C, and 48 percent in B. What is the expected return of the portfolio? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b-1. What is the variance of this portfolio? (Do not round intermediate calculations and round your answer to 5 decimal places, e.g., .16161.) b-2. What is the standard deviation? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) % -.08 -.18 % -.06 -.10
Returns State of Economy Prob J K Recession 0.25 -0.02 0.034 Normal 0.6 0.138 0.062 Boom 0.15 0.218 0.092 Based on the following information, 1. calculate the expected return and standard deviation for each of the following stocks. 2.What are the covariance and correlation between the returns of the two stocks? 3.Calculate the portfolio return and portfolio standard deviation if you invest equally in each asset.
Aa.5
5 Consider the following information: Probability of State of State of Economy Boom Good Poor Bust Economy 15 .45 .35 .05 a. Rate of Return if State Occurs a. Expected return b-1. Variance b-2. Standard deviation Stock A Stock B Stock C .36 46 .26 .21 .17 10 -.03 -.17 Your portfolio is invested 22 percent each in A and C, and 56 percent in B. What is the expected return of the portfolio? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b-1. What is the variance of this portfolio? (Do not round intermediate calculations and round your answer to 5 decimal places, e.g., .16161.) b-2. What is the standard deviation? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) % -.06 -.21 % -.04 -.07
es Consider the following information on three stocks: State of Economy Boom Normal Bust Probability of State of Economy .20 .40 .40 Rate of Return If State Occurs Stock A .34 .25 .03 Stock B .46 .23 -.25 Stock C .50 .20 - .42 a-1. If your portfolio is invested 35 percent each in A and B and 30 percent in C, what is the portfolio expected return? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) a-2. What is the variance? (Do not round intermediate calculations and round your answer to 5 decimal places, e.g., .32161.) a-3. What is the standard deviation? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b. If the expected T-bill rate is 4.50 percent, what is the expected risk premium on the portfolio? (Do not round intermediate calculations abd enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) c-1. If the expected inflation rate…
Vijay
Qn4: Assume a two-stock portfolio created with $50,000 is invested in both HT and Collections. The expected returns are given below: Calculate the portfolio's return for each state of economy and fill them in the last column, under "Portfolio" (Hint: The portfolio's expected return is a weighted average of the returns of the portfolio's component assets). Calculate the portfolio's expected return (Hint: You have to incorporate the probability distribution of each state of economy). Calculate the portfolio's standard deviation. Economy Recession Below average Average Above average Boom Prob. HT 0.1 -27.0% 0.2 -7.0% 0.4 15.0% 0.2 30.0% 0.1 45.0% Coll 27.0% 13.0% 0.0% -11.0% -21.0% Portfolio
Consider the following information: State of Probability of Economy State of Economy 15 45 30 .10 Stock A Stock B Boom 32 42 Good 19 13 Poor -.05 -08 Bust -16 -,28 -09 Your portfolio is invested 30 percent each in A and C, and 40 percent in B. What is the standard deviation of this portfolio? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. Do not include a percent sign with your answer.) Numeric Response **** Rate of Return if State Occurs wwwww Stock C 33 12 -.06
Consider the following scenario analysis: Rate of Return Stocks Scenario Bonds Probability 0.20 Recession -6% 18% Normal economy 0.50 19% 11% Boom 0.30 26% 8% a. Is it reasonable to assume that Treasury bonds will provide higher returns in recessions than in booms? O No Ⓒ Yes b. Calculate the expected rate of return and standard deviation for each investment. (Do not round intermediate calculations. Enter your answers as a percent rounded to 1 decimal place.) Expected Rate of Standard Deviation Return Stocks 16.1 % % Bonds 9.7 % % c. Which investment would you prefer? Bond Which investment would you prefer? Stock
Read the information for 3 stocks X, Y and Z below. Rate of return when state occurs (For Stock X, Y, and Z) State of Economy Probability of State Stock X Stock Y Stock Z Boom 0.3 0.4 0.45 0.6 Normal 0.5 0.2 0.15 0.08 Recession 0.2 0 -0.3 -0.4 If your portfolio includes 35 percent of X, 40 percent of Y and 25 percent of Z, answerthe following questions: (a) Calculate the portfolio expected return.(b) Calculate the variance and the standard deviation of the portfolio (c) If the expected T-bill rate is 3.80 percent, calculate the expected risk premiumon the portfolio.
Could part 2 be answered

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