Consider the following information: State of economy Boom Good Poor Bust Probability of state of economy 0.15 0.55 0.25 0.05 Variance % Rate of return if state occurs Stock A 0.30 0.17 0.03 -0. 10 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. Round the final answer to 2 decimal places.) Expected return b-1. What is the variance of this portfolio? (Do not round intermediate calculations. Round the final answer to 5 decimal places.) % Stock B 0.40 0.11 -0.06 -0.26 Stock C 0.31 0.10 -0.04 -0.07 b-2. What is the standard deviation? (Do not round intermediate calculations. Round the final answer to 2 decimal places.) Standard deviation

Consider the following information: State of economy Boom Good Poor Bust Probability of state of economy 0.15 0.55 0.25 0.05 Variance % Rate of return if state occurs Stock A 0.30 0.17 0.03 -0. 10 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. Round the final answer to 2 decimal places.) Expected return b-1. What is the variance of this portfolio? (Do not round intermediate calculations. Round the final answer to 5 decimal places.) % Stock B 0.40 0.11 -0.06 -0.26 Stock C 0.31 0.10 -0.04 -0.07 b-2. What is the standard deviation? (Do not round intermediate calculations. Round the final answer to 2 decimal places.) 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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Given the following information, what is (i) the expected return and (ii) the portfolio standard deviation (to the nearest 0.016)? State Probability Return Boom .1 .45 Good .6 .25 Recession .3 .05 Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. a (i) 259% and (ii) 149% (1) 2196 and (ii 1296 (i) 25% and (ii) 1296 None of the above (1) 2196 and (ii) 14%6 e
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
Consider the following information: State of Economy Probability of State of Economy Boom Bust .68 .32 a. Expected return b. Variance of portfolio Rate of Return if State Occurs Stock A Stock B Stock C .36 -.16 % 11 .25 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, b. What is the variance of a portfolio invested 23 percent each in A and B and 54 percent in C? Note: Do not round intermediate calculations and round your answer to 5 decimal places, e.g., .16161. .05 .31
11.9
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…
The following expected return and the standard deviation of current returns are known: Security (i) Expected Return Standard Deviation βi A 0.20 0.12 1.1 B 0.12 0.10 0.8 T-Bills 0.05 0 0 Market Portfolio 0.20 0.15 1 Required: Determine which of A or B is over-valued or undervalued.
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
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.
Consider the following information about three stocks: Probability 0.22 State of Economy Boom Normal Bust 0.53 0.25 Stock A 0.24 0.00 0.17 -0.28 Stock B 0.36 0.13 -0.45 Stock C 0.55 0.09 Instructions: a) If your portfolio is invested 40% each in A and B and 20% in C, what is the portfolio expected return? The variance? The standard deviation? b) If the expected T-bill rate is 3.80%, the expected inflation rate is 3.50% what are the approximate and exact expected real returns on the portfolio? what is the approximate real risk premium? Show your steps.
9. Suppose you plan to form your overall investment portfolio in two steps: STEP 1: Choose a portfolio of stocks with a zero position in the risk-free asset. STEP 2: Allocate your money between the portfolio from Step 1 and the risk-free asset. Suppose you can borrow and lend as much as you want at the risk-free rate in Step 2. Let Erp be the expected return of the Step 1 portfolio. Let Var(rp) be the variance of the return of the Step 1 portfolio. Let rf be the risk-free rate. How will you form the Step 1 Portfolio? Set the Step 1 portfolio to maximize Erp SettheStep1portfoliotominimizeVar(rp) Set the Step 1 portfolio to maximize Erp - Var(rp) Set the Step 1 portfolio to maximize the ratio Erp/Var(rp) Set the Step 1 portfolio to maximize the ratio (Erp- rf)/Var(rp) None of the above.
9. This problem will give you some practice calculating measures of prospective portfolio performance. There are two assets and three states of the economy: Rate of return if state occurs Probability of state of economy State of economy Equity A -0.15 Equity B Recession 0.20 0.20 Normal 0.50 0.20 0.30 Вoom 0.30 0.60 0.40 What are the expected returns and standard deviations for these two equities?
A second version of the Markowitz portfolio model maximizes expected return subject to a constraint that the variance of the portfolio must be less than or equal to some specified amount. Consider the Hauck Financial Service data. Click on the datafile logo to reference the data. Annual Return (%) Mutual Fund Year 1 Year 2 Year 3 Year 4 Year 5 Foreign Stock 10.06 13.12 13.47 45.42 -21.93 Intermediate-Term Bond 17.64 3.25 7.51 -1.33 7.36 Large-Cap Growth 32.41 18.71 33.28 41.46 -23.26 Large-Cap Value 32.36 20.61 12.93 7.06 -5.37 Small-Cap Growth 33.44 19.40 3.85 58.68 -9.02 Small-Cap Value 24.56 25.32 -6.70 5.43 17.31 (a) Construct this version of the Markowitz model for a maximum variance of 38. Let: FS = proportion of portfolio invested in the foreign stock mutual fund IB = proportion of portfolio invested in the intermediate-term bond fund LG = proportion of portfolio invested in the large-cap growth fund LV = proportion of portfolio invested in the large-cap value fund SG =…

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