Consider the following information:State of Probability ofState ofEconomy.6040EconomyBoomBustRate of Return If State OccursStock A.15.18Stock B.23.08Stock C.42-.09What is the expected return of a portfolio equally invested instocks A, B, and C? Round to the nearest XX.XX%

Probability of Boom = 0.60Probability of Bust = 0.40Return of A under Boom = 0.15Return of A under…

Consider the following information: State of Probability of State of Economy .60 .40 Economy Boom Bust Rate of Return If State Occurs Stock A .15 .18 Stock B Stock C .23 .08 .42 -.09 What is the expected return of a portfolio equally invested in stocks A, B, and C? Round to the nearest XX.XX%

Consider the following information: State of Probability of State of Economy .60 .40 Economy Boom Bust Rate of Return If State Occurs Stock A .15 .18 Stock B Stock C .23 .08 .42 -.09 What is the expected return of a portfolio equally invested in stocks A, B, and C? Round to the nearest XX.XX%

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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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.
Consider the following information: State of Probability of Economy State of Economy Boom Bust .58 .42 Rate of Return if State Occurs Variance Stock A .07 .16 Stock B 15 .06 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.) Expected return 12.87% % Stock C 33 -.06 b. What is the variance of a portfolio invested 20 percent each in A and B and 60 percent in C? (Do not round intermediate calculations and round your answer to 6 decimal places, e.g., 32.161616.) 1.29% *
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…
Northern Wear stock has an expected return of 14.6 percent. Given the information below, what is the expected return on this stock if the economy is normal? Probability of State of Economy .15 State of Economy Rate of Return Recession Normal -05 .80 Воom .05 .19 O 13 percent O 16 percent 18 percent O 21 percent O 23 percent
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.
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.
QUESTION 1 Consider the following information on stocks I and II: State of probability of Rate of Return if state Occurs state of Econ. Stock I Stock II 0.20 0.06 0.55 0.47 0.25 0.23 The market risk premium is 8%, and the risk free rate is 6%. Economy Recession Normal Boom a) Which stock has the most Systematic risk? b) Which one has the most unsystematic risk? c) Which stock is "riskier"? Explain. -0.25 0.11 0.68
Consider the following information: Rate of Return if State Occurs State of Probability of State of Economy Stock A Stock B Stock C Economy Boom 0.15 0.32 0.42 0.33 Good 0.45 0.19 0.13 0.12 Poor 0.30 -0.05 -0.08 -0.06 Bust 0.10 - 0.16 -0.28 0.09 a. Your portfolio is invested 30 percent each in A and C, and 40 percent in B. What is the expected return of the portfolio? (Round your answer to 2 decimal places. (e.g., 32.16)) Expected return % b-1What is the variance of this portfolio? (Do not round intermediate calculations and round your answer to 5 decimal places. (e.g., 32.16161)) Variance b-2What is the standard deviation? (Do not round intermediate calculations and round your final answer to 2 decimal places. (e.g., 32.16)) Standard deviation %
You own a portfolio with the following expected returns given the various states of the economy. What is the overall portfolio expected return? State of Economy Boom Normal Recession 0.0701 O 0.0648 0,0719 O 0.0548 Expected returns in various states of the economy Probability 0.0442 23.00% 70.00% 7.00% 13.00% 7.00% -10.00% Rate of Return
Suppose your expectations regarding the stock market are as follows: State of the Economy Boom Normal growth Recession Probability 0.3 0.6 0.1 Mean Standard deviation HPR 24.90 % % 41% 24 E (r) E-1P(s)r (s) Var (r) = o² = s-1p(s)[r (s) - E(r)]² SD (r) = o = √Var (r) Required: Use above equations to compute the mean and standard deviation of the HPR on stocks. (Do not round intermediate calculation Round your answers to 2 decimal places.) -18 K

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