You live in a world where three future states are possible: Boom, Normal and Recession. See the probablities of these states in the attched table. Consider a stock which you expected to have the following returns in these states of the economy. State Probability Return 2.79 25% Normal 55% Recession 20% -0.04 What is the standard deviation of returns on an investment in this stock? Boom O 6.52% 6.37% 4.62% State 7.17% Expected 0.15 0.08

You live in a world where three future states are possible: Boom, Normal and Recession. See the probablities of these states in the attched table. Consider a stock which you expected to have the following returns in these states of the economy. State Probability Return 2.79 25% Normal 55% Recession 20% -0.04 What is the standard deviation of returns on an investment in this stock? Boom O 6.52% 6.37% 4.62% State 7.17% Expected 0.15 0.08

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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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…
Northern Wear stock has an expected return of 14.6 percent. Given the information below, what is the expected return on this stock if the economy is normal? Probability of State of Economy .15 State of Economy Rate of Return Recession Normal -05 .80 Воom .05 .19 O 13 percent O 16 percent 18 percent O 21 percent O 23 percent
1. Suppose your expectations regarding the stock market are as follows: State of the Probability HPR Economy Boom 0.3 33% Normal growth 0.3 19 Recession 0.4 -15 a. What is the expected return, variance and standard deviation? 2. Assume that you manage a risky portfolio with an expected rate of return of 13% and a standard deviation of 29%. The T-bill rate is 5%. Your client chooses to invest 75% of a portfolio in your fund and 25% in a T-bill money market fund. a. What is the expected return and standard deviation of your client's portfolio? b. What is the reward-to-volatility ratio (S) of your risky portfolio and your client's overall portfolio? Explain the sharp ratio.
Consider the following two scenarios for the economy and the expected returns in each scenario for the market portfolio, an aggressive stock A, and a defensive stock D. Scenario Rate of Return Market Aggressive Stock A Defensive Stock D Bust −7% −10% −5% Boom 19 25 15 Find the beta of each stock. If each scenario is equally likely, find the expected rate of return on the market portfolio and on each stock. If the T-bill rate is 4%, what does the CAPM say about the fair expected rate of return on the two stocks? Which stock seems to be a better buy on the basis of your answers to (a) through (c)?
QUESTION 1 Consider the following information on stocks I and II: State of probability of Rate of Return if state Occurs state of Econ. Stock I Stock II 0.20 0.06 0.55 0.47 0.25 0.23 The market risk premium is 8%, and the risk free rate is 6%. Economy Recession Normal Boom a) Which stock has the most Systematic risk? b) Which one has the most unsystematic risk? c) Which stock is "riskier"? Explain. -0.25 0.11 0.68
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 %
You own a portfolio with the following expected returns given the various states of the economy. What is the overall portfolio expected return? State of Economy Boom Normal Recession 0.0701 O 0.0648 0,0719 O 0.0548 Expected returns in various states of the economy Probability 0.0442 23.00% 70.00% 7.00% 13.00% 7.00% -10.00% Rate of Return
Suppose your expectations regarding the stock market are as follows: State of the Economy Boom Normal growth Recession Probability 0.3 0.6 0.1 Mean Standard deviation HPR 24.90 % % 41% 24 E (r) E-1P(s)r (s) Var (r) = o² = s-1p(s)[r (s) - E(r)]² SD (r) = o = √Var (r) Required: Use above equations to compute the mean and standard deviation of the HPR on stocks. (Do not round intermediate calculation Round your answers to 2 decimal places.) -18 K
2
Radhubhai
Consider the following information: Economy Recession Normal Boom Probability of State of Economy .21 .56 .23 Rate of Return if State Occurs Stock A Stock B a. Expected return of A Expected return of B b. Standard deviation of A Standard deviation of B .015 .095 .250 a. Calculate the expected return for the two stocks. Note: Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16. -.36 .26 .49 b. Calculate the standard deviation for the two stocks. Note: Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16. % % %
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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