Consider the following information:State of EconomyBoomProbability of State of EconomySecurity Returns if State Occurs(Stock A)Security Returns if State Occurs(Stock B)Security Returns if State Occurs(Stock C).10.18.48.33GoodPoor?.11.18.15Bust.40.30.05-.09-.05-.03-.32-.09Your portfolio is invested 30 percent each in Stocks A and C and the rest in Stock B. What is the percentage standard deviation of the portfolio?

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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: Rate of Return if State Occurs Probability of State State of Economy of Economy Stock A Stock B Stock C Boom .10 34 44 24 Good .60 .19 15 08 Poor .25 -.01 09 -.07 Bust .05 -15 -.19 -11 a. Your portfolio is invested 25 percent each in A and C, and 50 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.) a. Expected return b-1. Variance % b-2. Standard deviation %
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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
7. Consider the following information about Stocks I and II: Probability of Rate of Return if State Occurs State of Economy Recession Normal Irrational exuberance State of Economy .25 .50 .25 Stock I .02 .21 .06 Stock Il -.25 .09 .44 The market risk premium is 8 percent, and the risk-free rate is 4 percent. Which stock has the most systematic risk? Which one has the most unsystematic risk? Which stock is "riskier"? Explain.
11.2. Below are the expected returns from both stocks based on the probability of economic conditions. It is desired to create a portfolio from two stocks. It is decided to invest 30% in stock A and 70% in stock B. Stock A State (i) p(i) E(R) Recession 0.50 -40% Neutral 0.40 15% Boom 0.10 30% 1.00 Stock B State (i) p(i) E(R) Recession 0.5 40% Neutral 0.40 15% Вoom 0.1 -20% 1.00 d- Find the expected return and standard deviation of this portfolio? e- If you were a portfolio manager, what type of investors do you recommend this portfolio and why? f- Explain why the beta of the market is always equal to 1 and beta of a treasury bill equal to 0.
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 The standard deviation on Stock I's return is deviation on Stock Il's return is stock's systematic risk/beta, Stock Stock I .09 .18 .12 Stock II -.26 .13 .46 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.) 3.79 percent, and the Stock I beta is percent, and the Stock II beta is is "riskier". 2.20 The standard . Therefore, based on the
Kindly explain all steps please, concept plsss stepwise.
1. Consider the following information State of Economy Probability of State of Economy Rate of Return if State Occurs Stock S Stock T Boom .20 22% 18% Normal .80 15 % 14% i) What is the expected return for stock S? For Stock T? ii) What is the standard deviation for Stock S? For stock T? iii) What is the coefficient of variation for Stock S? For stock T? iv) If you invest 40% of your money in stock S and 60% in stock T, what is the expected return of the portfolio v) Find the return of your portfolio when a) economy is booming and b) economy is normal. vi) What is the standard deviation for your portfolio?
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 Boom Bust Rate of Return if State Occurs Stock A Stock B Stock C .67 .33 .10 .24 .04 .35 .30 -.15 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 22 percent each in A and B and 56 percent in C? Note: Do not round intermediate calculations and round your answer to 5 decimal places, e.g., .16161. Answer is complete but not entirely correct. a. Expected return b. Variance of portfolio 11.90% 0.01247 X
Consider the following information: State of Economy Boom Bust Probability of State of Economy .72 .28 Rate of Return if State Occurs Stock A .10 .19 Stock B Stock C .04 .30 .25 -.10 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 pla 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. a. Expected return b. Variance of portfolio % 3
State of economy Probability Rate of returns Stock A Stock B Stock C Boom 0.35 0.24 0.36 0.55 Normal 0.50 0.17 0.13 0.09 Bust 0.15 0 0.28 0.45 Based on the table above, you invested 40% on Stock A and B and 20% on Stock C. Calculate the expected return on this portfolio.

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