Assuming an equally weighted portfolio, and using the table below, what is the expected return of the portfolio? State of Economy Boom Normal Bust 6.4% 5.5% 6.5% 7.4% Probability of State 0.10 0.80 0.10 Security #1 15% 7% 3% Security #2 10% 5% 5% Security #3 8% 4% 25%

Assuming an equally weighted portfolio, and using the table below, what is the expected return of the portfolio? State of Economy Boom Normal Bust 6.4% 5.5% 6.5% 7.4% Probability of State 0.10 0.80 0.10 Security #1 15% 7% 3% Security #2 10% 5% 5% Security #3 8% 4% 25%

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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Question

Assuming an equally weighted portfolio, and using the table below, what is the expected
return of the portfolio?
State of Economy
Boom
Normal
Bust
6.4%
O 5.5%
6.5%
7.4%
Probability of
State
0.10
0.80
0.10
Security #1
15%
7%
3%
Security #2
10%
5%
5%
Security #3
8%
4%
25%

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9. Plot the following risky portfolios on a graph: B 10 11 Portfolio A Expected return, % 8 Standard Deviation, % 13 C D E F 12.5 14 16 20 15 19 19 22 G 20 25 H 23 33 a) Which of these portfolios are efficient? Which portfolios are inefficient? b) Suppose you can also borrow and lend at an interest-rate of 10 percent. Which of the above portfolios is the best one? c) Suppose you are prepared to tolerate a standard deviation of 15 percent. What is the maximum expected return that you can achieve if you cannot borrow nor lend? d) What is your optimal strategy, if you can borrow or lend at 10 percent and are prepared to tolerate a standard deviation of 15 percent? What is the maximum expected return that you can achieve?
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.
Firm Portfolio Weight Volatility Correlation w/ Market Portfolio Taggart Transcontinental 0.25 14% 0.7 Wyatt Oil 0.35 18% 0.6 Rearden Metal 0.40 15% 0.5 The volatility of the market portfolio is 10%, the expected return on the market is 12%, and the risk-free rate of interest is 4%. The Sharpe Ratio for the market portfolio is closest to?
Could part 2 be answered
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 %
4. Consider the following information. Your portfolio is invested 30 percent each in A and C, and 40 percent in B. What is the expected return and standard deviation of this portfolio? (10 marks) State of Probability of Rate of Return if State Occurs Economy State of Economy Stock A Stock B Stock C Boom 0.15 0.30 0.45 0.33 Good 0.45 0.12 0.10 0.15 Poor 0.35 0.01 -0.15 -0.05 Bust 0.05 -0.06 -0.30 -0.09
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Consider the following scenario analysis: Scenario Recession Normal economy Boom Required A Probability 0.3 0.4 0.3 Assume a portfolio with weights of 0.60 in stocks and 0.40 in bonds. a. What is the rate of return on the portfolio in each scenario? b. What are the expected rate of return and standard deviation of the portfolio? Rate of Return Stocks Bonds 12% 7 3 Complete this question by entering your answers in the tabs below. Required B Expected return Standard deviation -4% 13 22 What are the expected rate of return and standard deviation of the portfolio? Note: Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places % %
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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%

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