Consider the following scenario analysis: Scenario Recession Normal economy Boom Rate of Return Probability Stocks 0.3 -5% Bonds 12% 0.6 13 9 0.1 24 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?

Consider the following scenario analysis: Scenario Recession Normal economy Boom Rate of Return Probability Stocks 0.3 -5% Bonds 12% 0.6 13 9 0.1 24 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?

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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Suppose your expectations regarding the stock price are as follows: State of the Market Boom Normal growth Recession Probability Ending Price 0.26 $ 140 0.25 110 0.49 80 Use the equations E (r) = Ep (s) r(s) and o² = Ep (s) [r(s) — E(r)]² to compute the mean and standard deviation of the HPR on - S S Mean Standard deviation HPR (including dividends) 55.0% 21.0 -16.0 stocks. Note: Do not round intermediate calculations. Round your answers to 2 decimal places. % %
Consider the following information in Figure 1 below for a portfolio including security A and security B: Figure 1 State of the economy Probability of state of economy Return on A (%) Return on B (%) Boom 0.2 15 5 Growth 0.2 -5 0 Normal 0.5 10 10 Recession 0.1 5 20 If you want to include one more security C into the above portfolio. (e.g., a new portfolio including securities A, B, and C), what is the new portfolio variance if you invest 40% of C and 60% of the old portfolio including A and B (50% weights for A and B)? Assume the standard deviation of C is 10%, and correlation coefficient between the old portfolio and C is 0.8.
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?
You are given the following information concerning three portfolios, the market portfolio, and the risk-free asset: Portfolio Y Z Market Risk-free Rp 16.00% бр 32.00% 15.00 27.00 7.30 17.00 11.30 5.80 22.00 0 Bp 1.90 1.25 0.75 1.00 0 Assume that the tracking error of Portfolio X is 13.40 percent. What is the information ratio for Portfolio X? Note: A negative value should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to 4 decimal places. Information ratio
Consider the following scenario analysis: Rate of Return Scenario Probability Stocks Bonds Recession 0.30 -7% 18% Normal economy Boom 0.60 20% 0.10 26% 10% 3% a. Is it reasonable to assume that Treasury bonds will provide higher returns in recessions than in booms? b. Calculate the expected rate of return and standard deviation for each investment. c. Which investment would you prefer? Complete this question by entering your answers in the tabs below. Required A Required B Required C Calculate the expected rate of return and standard deviation for each investment. Note: Do not round intermediate calculations. Enter your answers as a percent rounded to 1 decimal place. Expected Rate of Return Stocks 12.5% Bonds 11.7 % Standard Deviation % %
Consider the following information on Stocks I and II: State of Economy Recession Normal Irrational exuberance. Probability of State) of Econony 15 .70 .15 a. Stock I beta Stock Il beta. b. Stock I standard deviation Stock Il standard deviation Rate of Return if State Occurs. Stock I Stock II 05 18 07 The market risk premium is 7 percent, and the risk-free rate is 3.5 percent. a. Calculate the beta of each stock. Note: Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16. b. Calculate the standard deviation of each stock. c. More systematic nsk d. More unsystematic risk e. "Riskier stock Note: Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16. c. Which stock has the most systematic risk? d. Which one has the most unsystematic risk? e. Which stock is "riskler"? -.21 .10 39 % %
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.
Assume CAPM holds. What is the correlation between an efficient portfolio and market portfolio? a. 1 b.-1 c.0 d. Not enough information Assume CAPM holds. The risk-free rate is 1% and the expected return on the portfolio is 5%. What is the expected return of a stock with a beta of 2? 70%
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
Considering the attached set of securities and portfolio returns: Find the combination of the weights that minimizes CV of the portfolio. How does the CV of the optimal portfolio compare with the CVs of its constituents?
Consider the following scenario analysis: Rate of Return Stocks Scenario Bonds Probability 0.20 Recession -6% 18% Normal economy 0.50 19% 11% Boom 0.30 26% 8% a. Is it reasonable to assume that Treasury bonds will provide higher returns in recessions than in booms? O No Ⓒ Yes b. Calculate the expected rate of return and standard deviation for each investment. (Do not round intermediate calculations. Enter your answers as a percent rounded to 1 decimal place.) Expected Rate of Standard Deviation Return Stocks 16.1 % % Bonds 9.7 % % c. Which investment would you prefer? Bond Which investment would you prefer? Stock

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