Suppose you observe the following situation:Probability ofState0.350.400.25State of EconomyRecessionNormalIrrational exuberanceStock AStock BExpected ReturnRate of Return if State OccursStock B%Stock Aa. Calculate the expected return on each stock. (Round the final answers to 2 decimal places.)-0.110.100.45-0.090.100.25b. Assuming the capital asset pricing model holds and stock A's beta is greater than stock B's beta by 0.65, what is the expectedmarket risk premium? (Do not round intermediate calculations. Round the final answer to 2 decimal places.)Expected market risk premium

Suppose you observe the following situation: Probability of State State of Economy Recession Normal Irrational exuberance 0.35 0.40 0.25 Stock A Stock B Rate of Return if State Occurs Stock B Stock A % -0.11 0.10 0.45 a. Calculate the expected return on each stock. (Round the final answers to 2 decimal places.) Expected Return -0.09 0.10 0.25 b. Assuming the capital asset pricing model holds and stock A's beta is greater than stock B's beta by 0.65, what is the expected market risk premium? (Do not round intermediate calculations. Round the final answer to 2 decimal places.) Expected market risk premium

Suppose you observe the following situation: Probability of State State of Economy Recession Normal Irrational exuberance 0.35 0.40 0.25 Stock A Stock B Rate of Return if State Occurs Stock B Stock A % -0.11 0.10 0.45 a. Calculate the expected return on each stock. (Round the final answers to 2 decimal places.) Expected Return -0.09 0.10 0.25 b. Assuming the capital asset pricing model holds and stock A's beta is greater than stock B's beta by 0.65, what is the expected market risk premium? (Do not round intermediate calculations. Round the final answer to 2 decimal places.) Expected market risk premium

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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Consider a three-factor APT model. The factors and associated risk premiums are: Factor Risk Premium (%) Change in gross national product (GNP) + 6.5 Change in energy prices 0.5 Change in long-term interest rates +2.9 Calculate expected rates of return on the following stocks. The risk - free interest rate is 6.8%. A stock whose return is uncorrelated with all three factors
Consider the following information: State of Economy Boom Probability of State of Economy Security Returns if State Occurs (Stock A) Security Returns if State Occurs (Stock B) Security Returns if State Occurs (Stock C) .10 .18 .48 .33 Good Poor ? .11 .18 .15 Bust .40 .30 .05 -.09 -.05 -.03 -.32 -.09 Your portfolio is invested 30 percent each in Stocks A and C and the rest in Stock B. What is the percentage standard deviation of the portfolio?
Using CAPM to determine the expected rate of return for risky assets, consider the following example stocks, assuming that you have already compute the betas Stock Beta A 0.70 B 1.00 C 1.15 D 1.40 E -0.30 Assume that we expect the economy’s RFR to be 5 percent (0.05) and the expected return on the market portfolio (E(RM)) to be 9 percent (0.09), 1, what would this imply? With these inputs, what would the be the following required rate of returns for these five stocks, show the formula for each in your calculations.
Consider the following information: Rate of Return if State Occurs State of Economy Probability of State of Economy Stock A Stock B Recession 21 .06 21 Normal 58 109 08 Boom 21 14 25 a. Calculate the expected return for Stocks A and B. (Do not round Intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) b. Calculate the standard deviation for Stocks A and B. (Do not round Intermedlate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) a. Stock A expected return a. Stock B expected return b. Stock A standard deviation b. Stock B standard deviation 196 96 96 %
Consider the following information: Probability of State of Economy .22 .57 .21 Economy Recession Normal Boom 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 .020 .100 160 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. 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. % % -.27 .17 .40 % %
Consider the following information about three stocks: State of Economy Probability of State of Economy Rate of Return If State Occurs Stock A Stock B Stock C Boom.25.13.29.60 Normal .60.08.11.13 Bust.15.02.18-.45 a-1. If your portfolio is invested 40 percent each in A and B and 20 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., .16161.) 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 3.70 percent, what is the expected risk premium on the portfolio? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e .g., 32.16.) c-1. If the expected inflation rate is 3.30…
You have estimated the following probability distributions of expected future returns for Stocks X and Y: Stock X Stock Y Probability Return Probability Return 0.1 -12 % 0.2 4 % 0.1 11 0.2 7 0.3 14 0.3 11 0.3 30 0.2 17 0.2 40 0.1 30 What is the expected rate of return for Stock X? Stock Y? Round your answers to one decimal place.Stock X: % Stock Y: % What is the standard deviation of expected returns for Stock X? For Stock Y? Round your answers to two decimal places.Stock X: % Stock Y: % Which stock would you consider to be riskier? is riskier because it has a standard deviation of returns.
Consider the following information: Rate of Return if State Occurs State of Economy Probability of State of Economy Stock A Stock B Stock C Boom .15 .35 .45 .27 Good .55 .16 .10 .08 Poor .25 -.01 -.06 -.04 Bust .05 -.12 -.20 -.09 a) Your portfolio is invested 40 percent each in A and C, and 20 percent in B. What is the expected return of the portfolio? b) What is the variance of this portfolio? The standard deviation? Stock C .45 .27 .10 .08 -.06 -.04 -.20 -.09
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?
Suppose you observe the following situation: State of Economy Bust Normal Boom Probability of State .20 .60 .20 Return if State Occurs Stock B -.04 .15 .30 a. Stock A a. Stock B b. Expected market risk premium Stock A -.06 .15 .50 a. Calculate the expected return on each stock. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) b. Assuming the capital asset pricing model holds and Stock A's beta is greater than Stock B's beta by .47, what is the expected market risk premium? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) % % %
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?
The Capital Asset Pricing Model (CAPM) says that the risk premium on a stock is equal to its beta times the market risk premium. ..... True False

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