Consider the following information about Stocks I and II: Probability of State of Economy State of Rate of Return if State Occurs Economy Stock I Stock II Recession 0.15 0.20 -0.25 Normal 0.70 0.21 0.09 Irrational exuberance 0.15 0.06 0.44 The market risk premium is 7 percent, and the risk-free rate is 4 percent. a) Which stock has the most systematic risk? b) Which one has the most unsystematic risk?

Consider the following information about Stocks I and II: Probability of State of Economy State of Rate of Return if State Occurs Economy Stock I Stock II Recession 0.15 0.20 -0.25 Normal 0.70 0.21 0.09 Irrational exuberance 0.15 0.06 0.44 The market risk premium is 7 percent, and the risk-free rate is 4 percent. a) Which stock has the most systematic risk? b) Which one has the most unsystematic risk?

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 that many stocks are traded in the market and that it is possible to borrow at the risk-free rate, r. The characteristics of two of the stocks are as follows: Stock A B Correlation-1 Rate of return. Expected. Return 79 10% Standard Deviation 30% 70% Required: a. Calculate the expected rate of return on this risk-free portfolio? (Hint: Can a particular stock portfolio be formed to create a "synthetic" risk-free asset?) (Round your answer to 2 decimal places.) b. Could the equilibrium ry be greater than rate of return? Yes No
Problem 1 You are given the following information about stock X and the market portfolio, M: Riskless Asset (f) Stock X Market Portfolio (M) E(r) 0.04 (4%) ? 0.10 σ 0.00 0.30 0.20 You are not given the expected return of stock X. The correlation of the returns on the stock X and the market portfolio is equal to 0.4. a) What is the beta (6) of stock X? b) Assuming the CAPM holds, what is the expected return on stock X? c) You have $1,000 to invest in some combination of the risk-free asset, stock X, and the market portfolio. You are thinking of investing $300 in the risk free asset, $400 in stock X, and $300 in the market portfolio. What is the overall expected return, standard deviation and beta of this portfolio?
Suppose that stocks are exposed to systematic risks only so that stock i has the following return structure: Ri,t = mį + Si,t where mi is the average return, and si,t is the systematic risk. When we construct a portfolio including more and more stocks, which of the following would happen? The portfolio volatility gradually decreases and eventually converges to a certain positive value. ● The portfolio volatility gradually decreases and eventually converges to zero. The portfolio volatility stays unchanged.
If markets are in equilibrium, which of the following conditions will exist? a. Each stock's expected return should equal its required return as seen by the marginal investor. b. All stocks should have the same expected return as seen by the marginal investor. c. The expected and required returns on stocks and bonds should be equal. d. All stocks should have the same realized return during the coming year. e. Each stock's expected return should equal its realized return as seen by the marginal investor.
Suppose that there are many stocks in the security market and that the characteristics of stocks A and B are given as follows: Stock expected return standard deviation A 14% 6% B 18 10 CORRELATION = -1 Suppose that it is possible to borrow at the risk-free rate, rf. What must be the value of the risk-free rate? (Hint: Think about constructing a risk-free portfolio from stocks A and B.) (Do not round intermediate calculations. Round your answer to 3 decimal places.)
As the number of stocks in a portfolio decrease, the portfolio's unsystematic risk will O A. increase O B. O C. D. increase 1 decrease / decrease / increasing decreasing increasing decreasing at a/an rate.
2) see picture
Suppose that there are many stocks in the security market and that the characteristics of stocks A and B are given as follows: Stock A B Expected Return 10% Standard Deviation 5% 9 18 Correlation = -1 Risk-free rate Suppose that it is possible to borrow at the risk-free rate, rf. What must be the value of the risk-free rate? (Hint: Think about constructing a risk-free portfolio from stocks A and B.) Note: Do not round intermediate calculations. Round your answer to 3 decimal places. %
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. % %
You are analyzing a stock that has the following returns given the various states of economy. State of Economy Probability Return Recession 0.12 -7.20 Normal 0.68 6.80 Boom 0.2 15.40 What is the expected return on this stock?
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?
Consider the following information on Stocks I and II: Probability of State of Economy State of Economy Rate of Return if State Occurs Stock I Stock II Recession .22 .045 -.37 Normal .62 .355 .29 Irrational .16 exuberance .215 .47 The market risk premium is 11.7 percent, and the risk-free rate is 4.7 percent. a. Calculate the beta and standard deviation of Stock I. Note: Do not round intermediate calculations. Enter the standard deviation as a percent and round both answers to 2 decimal places, e.g., 32.16. b. Calculate the beta and standard deviation of Stock II. Note: Do not round intermediate calculations. Enter the standard deviation as a percent and round both answers 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 "riskier"? a. Beta Standard deviation b. Beta Standard deviation c. Most systematic risk d. Most unsystematic risk e. "Riskier" stock 1.94 % %

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