Question 7 You expect that the likelihood of economic recession and boom is 20% and 80% respectively. Based on this basic forecast, you further estimate the returns for two stocks when the economy state is either recession and boom. Your estimation is as follow: Probability of State of Economy State of Economy Returns if State Occurs Stock A Stock B Recession 0.20 -0.30 -0.01 Boom 0.80 0.15 0.10 The market risk premium is 4%, and the risk-free rate is 1.5%. a) What are the expected returns of the two stocks? b) What are the standard deviations of the two stocks? c) What are the beta of the two stocks?

Question 7 You expect that the likelihood of economic recession and boom is 20% and 80% respectively. Based on this basic forecast, you further estimate the returns for two stocks when the economy state is either recession and boom. Your estimation is as follow: Probability of State of Economy State of Economy Returns if State Occurs Stock A Stock B Recession 0.20 -0.30 -0.01 Boom 0.80 0.15 0.10 The market risk premium is 4%, and the risk-free rate is 1.5%. a) What are the expected returns of the two stocks? b) What are the standard deviations of the two stocks? c) What are the beta of the two stocks?

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…
Consider the following information about Stocks I and II: State of Economy Recession Normal Irrational exuberance Probability of State of Economy .20 .60 .20 Rate of Return if State Occurs Stock I .04 .26 .10 Stock II -.35 15 .55 The market risk premium is 5 percent, and the risk-free rate is 4 percent. (Do not round intermediate calculations. Enter your standard deviation answers as a percent rounded to 2 decimal places, e.g., 32.16. Round your beta answers to 2 decimal places, e.g., 32.16.)
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 % %
M4
Consider the following information: Rate of return State of Economy Probability Stock A Stock B Recession 0.30 -40% 6% Normal 0.50 18% 4% Воom 0.20 142% 2% [Note: take full decimal places in the middle steps and round your FINAL answer to 2 decimal places (i.e. S1.23 or 1.23%)] (a) Calculate the expected return for the two Stocks A and B respectively. (in %) (b) Calculate the standard deviation for the two Stocks A and B respectively. (in %) (c) If you have $2 million to invest in a stock portfolio and your goal is to create a portfolio with an expected return of 16.92%, how much money will you invest in Stock A and Stock B respectively? (d) Based on your answer in part (c), calculate the standard deviation for the portfolio. (in %) (e) If enough stocks (i.e. 100 randomly selected stocks) had been included in the portfolio, what happen to the standard deviation for the portfolio? Explain. [within 100 words]
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 scenario analysis: Scenario Recession Normal economy Boom 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? Required A Probability 0.3 0.6 0.1 Required B Recession Normal economy Boom Rate of Return Complete this question by entering your answers in the tabs below. Stocks -5% 13 24 Rate of Return % % 15.6 % Bonds 12% 9 3 What is the rate of return on the portfolio in each scenario? Note: Enter your answer as a percent rounded to 1 decimal place.
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
Vijay
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 % %
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. % % %
7. Consider the following information about Stocks I and II: Probability of Rate of Return if State Occurs State of Economy Recession Normal Irrational exuberance State of Economy .25 .50 .25 Stock I .02 .21 .06 Stock Il -.25 .09 .44 The market risk premium is 8 percent, and the risk-free rate is 4 percent. Which stock has the most systematic risk? Which one has the most unsystematic risk? Which stock is "riskier"? Explain.

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