a. Based on the following information, calculate the expected return and standard deviation foreach of the following stocks. What are the covariance and correlation between the returns ofthe two stocks? Calculate the portfolio returm and portfolio standard deviation if you investequally in each asset.ReturnsState of EconomyProbJKRecession0.25-0.020.034Normal0.60.1380.062Boom0.150.2180.092b. A portfolio that combines the risk-free asset and the market portfolio has an expected return ofpercent and a standard deviation of 10 percent. The risk-free rate is 4 percent, and thePage 7 of 33expected return on the market portfolio is 12 percent. Assume the capital asset pricing modelholds. What expected rate of return would a security earn if it had a 45 corelation with themarket portfolio and a standard deviation of 55 percent?C. Suppose the risk-free rate is 4.2 percent and the market portfolıo has an expected return of 10.9mercent Tibemadkat normfeliobasiabiamance of 0382 Potfolig 71

Honor code: Since you have asked multiple questions, we will solve the first question for you. If…

Based on the following information, calculate the expected return and standard deviation for each of the following stocks. What are the covariance and correlation between the returns of the two stocks? Calculate the portfolio return and portfolio standard deviation if a. you invest equally in each asset. Retums 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, calculate the expected return and standard deviation for each of the following stocks. What are the covariance and correlation between the returns of the two stocks? Calculate the portfolio return and portfolio standard deviation if a. you invest equally in each asset. Retums 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

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

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Question

a. Based on the following information, calculate the expected return and standard deviation for
each of the following stocks. What are the covariance and correlation between the returns of
the two stocks? Calculate the portfolio returm and portfolio standard deviation if you invest
equally in each asset.
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
b. A portfolio that combines the risk-free asset and the market portfolio has an expected return of
percent and a standard deviation of 10 percent. The risk-free rate is 4 percent, and the
Page 7 of 33
expected return on the market portfolio is 12 percent. Assume the capital asset pricing model
holds. What expected rate of return would a security earn if it had a 45 corelation with the
market portfolio and a standard deviation of 55 percent?
C. Suppose the risk-free rate is 4.2 percent and the market portfolıo has an expected return of 10.9
mercent Tibemadkat normfeliobasiabiamance of 0382 Potfolig 71

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Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA = 2.60% + 0.90RM + eA RB = -2.00% + 1.20RM + eB OM = 26%; R-squarea = 0.21; R-squareg = 0.12 Assume you create portfolio P with investment proportions of 0.70 in A and 0.30 in B.
Consider the following information: State of Economy Probability of State of Economy Rate of Return if State Occurs Stock A Stock B Recession 0.30 0.05-0.15 Normal 0.55 0.15 0.15 Boom 0.15 0.20 0.35 Calculate the expected return for the two stocks.
b. Consider the following information about three stocks: Probability of State of i. ii. iii. iv. State of Economy V. Boom Recession Economy 0.40 0.60 From the information given, you are required to answer the following questions. Compute the Standard Deviation for each stock. Compute the Coefficient Variation for each stock. Based on your computation in part (i) and (ii), which stock is riskier? Explain your answer. Rate of Return if State Occurs Stock Hang Stock Hang Jebat 7% 13% Tuah 28% (5%) Stock Hang Kasturi 15% 3% Assume that you have RM14,000 invested in Stock Hang Jebat whose beta is 1.5, RM19,000 invested in Stock Hang Kasturi whose beta is 2.5 and RM17,000 invested in Stock Hang Tuah whose beta is 1.6. Determine what is the beta of this portfolio. Based on your answer in part (iv), compute the required rate of return for this portfolio, given that the market rate of return is 13% and risk-free rate is 5%.
You are given the following partial covariance and correlation tables from historical data: Securities J K Market Securities J K Market 1.24 1.11 1.17 1.03 Covariance Matrix K 0.90 J 0.0020480 0.0021600 Also, you have estimated that the market's standard deviation is 4.3 percent. For the coming year, the expected return on the market is 14.0 percent and the risk-free rate is expected to be 4.0 percent. Given this information, determine the beta for Security K for the coming year, assuming CAPM is the correct model for required returns. Correlation Matrix K 0.60 1.00 0.90 1.00 0.60 0.80 Market 0.0020480 0.0021600 Market 0.80 0.90 1.00 Ston sharing Hidel lines We
We know the following expected returns for stocks A and B, given the different states of the economy: State(s) Probability E(rA,s) E(rB,s) Recession 0.1-0.06 0.04 Normal 0.5 0.09 0.07 Expansion 0.4 0.17 0.11 What is the standard deviation of returns for stock B?
Assume that using the Security Market Line(SML) the required rate of return(RA)on stock A is found to be halfof the required return (RB) on stock B. The risk-free rate (Rf) is one-fourthof the required return on A. Return on market portfolio is denoted by RM. Find the ratioof betaof A(A) tobeta of B(B). Thank you for your help.
E(FAssume that using the Security Market Line (SML) the required rate of return (RA) on stock A is found to be half of the required return (Rs) on stock B. The risk-free rate (R;) is one-fourth of the required return on A. Return on market portfolio is denoted by RM. Find the ratio of beta of A (BA) to beta of B (BB). a o
The expected returns of a portfolio are influenced by several factors that investors should consider whenconstructing and managing their investment portfolios. discussesthe factors that affect expected returns of a portfolio.
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 you have predicted the following returns for stock C in three possible states of nature. What is the expected return of stock C? State Probability Return Boom 0.3 0.15 Normal 0.5 0.10 Recession 0.2 0.02
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.
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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