3. Assume that the market is in equilibrium and that stock betas can be estimated with historical data. The returns on the market, the returns on United Fund (UF), the risk-free rate (7.00%), and the required return on the United Fund (15.00%) are shown below. Based on this information, what is the required return on the market, m? Year 2011 2012 2013 2014 2015 Market -9% 11% 15% 5% -1% UF -14% 16% 22% 7% -2%

3. Assume that the market is in equilibrium and that stock betas can be estimated with historical data. The returns on the market, the returns on United Fund (UF), the risk-free rate (7.00%), and the required return on the United Fund (15.00%) are shown below. Based on this information, what is the required return on the market, m? Year 2011 2012 2013 2014 2015 Market -9% 11% 15% 5% -1% UF -14% 16% 22% 7% -2%

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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You are comparing Stock A to Stock B. Given the following information, what is the difference in the expected returns of these two securities? State of Economy Probability of State of Economy Rate of Return if State Occurs Stock A Stock B Normal .75 .13 .16 Recession .25 −.05 −.21
Consider the following information about the various states of the economy and the returns of various investment alternatives for each scenario. Answer the questions that follow. Question 1 Fill in the parts in the above table that are empty. Using the data generated in the previous question (Question 1); Plot the Security Market Line (SML) 2. Superimpose the CAPM’s required return on the SML % Return on T-Bills, Stocks, and Market Index State of the Economy Probability T- Bills Phillips Pay- up Rubber- made Market Index Recession 0.2 7 -22 28 10 -13 Below Average 0.1 7 -2 14.7 -10 1 Average 0.3 7 20 0 7 15 Above Average 0.3 7 35 -10 45 29 Boom 0.1 7 50 -20 30 43 Mean Standard Deviation Coefficient of Variation Covariance with MP…
a. Based on the following information, calculate the expected return and standard deviation for each of the following stocks. What are the covariance and correlation between the returns of the two stocks? Calculate the portfolio return and portfolio standard deviation if you invest equally in each asset. Returns State of Economy Prob K Recession 0.25 -0.02 0.034 Normal 0.6 0.138 0.062 Boom 0.15 0.218 0.092 b. A portfolio that combines the risk-free asset and the market portfolio has an expected return of 7 percent and a standard deviation of 10 percent. The risk-free rate is 4 percent, and the expected return on the market portfolio is 12 percent. Assume the capital asset pricing model holds. What expected rate of return would a security earn if it had a .45 correlation with the market portfolio and a standard deviation of 55 percent? c. Suppose the risk-free rate is 4.2 percent and the market portfolio has an expected return of 10.9 percent. The market portfolio has a variance of…
Consider the following information about Stocks X and Y: State of Economy Probability of State Stock X Returns Stock Y Returns Recession 0.15 0.11 -0.25 Steady 0.55 0.18 0.11 Boom 0.30 0.08 0.31 The market risk premium is 7.5 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.
a. Based on the following information, calculate the expected return and standard deviation for each of the following stocks. What are the covariance and correlation between the returns of the two stocks? Calculate the portfolio returm and portfolio standard deviation if you invest equally in each asset. Returns State of Economy Prob J K Recession 0.25 -0.02 0.034 Normal 0.6 0.138 0.062 Boom 0.15 0.218 0.092 b. A portfolio that combines the risk-free asset and the market portfolio has an expected return of percent and a standard deviation of 10 percent. The risk-free rate is 4 percent, and the Page 7 of 33 expected return on the market portfolio is 12 percent. Assume the capital asset pricing model holds. What expected rate of return would a security earn if it had a 45 corelation with the market portfolio and a standard deviation of 55 percent? C. Suppose the risk-free rate is 4.2 percent and the market portfolıo has an expected return of 10.9 mercent Tibemadkat normfeliobasiabiamance…
An investment Analysist provide the following data regarding the possible future returns on AmDa’s common stock State of economy Probability ReturnRecession 0.25 -1.4%Normal 0.45 9.4%Boom 0.30 15.4%i. Compute the expected return on the security? ii. Compute the standard deviation on the security? iii. Compute the Coefficient of variation
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.
a. Determine Stock X's beta coefficient. b. Determine the arithmetic average rates of return for Stock X and the NYSE over the period given. Calculate the standard deviations of returns for both Stock X and the NYSE. c. Assume that the required return on equity, re, for Stock X is equal to its average return. Likewise, assume that the market return is equal to the NYSE's average return. Using the information calculated, what is the assumed risk-free rate in the CAPM equation? Hint: Solve algebraically for rf in, re = r¡ + B(rm – r;)
Assume that the financial markets are in equilibrium. Information on three particular shares is provided in the table below. Find the risk free rate and the expected return on the market portfolio. Asset A B C A. 6%, 18% B. 6%, 14% C. 5%, 18% D. 7%, 16% E. 5%, 14% Expected Return 7.6% 12.4% 15.6% Beta 0.2 0.8 1.2
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? c) Which stock is "riskier"? Explain.
Consider the following information: State of Economy Probability of State of Economy Rate of Return if State Occurs Stock A Stock B Recession 0.30 0.05-0.15 Normal 0.55 0.15 0.15 Boom 0.15 0.20 0.35 Calculate the expected return for the two stocks.
Questions: Refer to the data of Omani common stock at below table, answer the following questions: Calculate the required rate of return (RRR) of stock. If beta coefficient decreases from 1.5 t0 0.5, what is the affect required rate of return. Build a theoretical framework depends on result of above questions. Beta Coefficient Stock Market Return Risk-free Return 1.5 10% 6%

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