State of Economy Bust Probability of Security Returns if State Occurs State of Economy Roll Ross -10% Boom 28 21% 8 0.40 0.60 Calculate the volatility of a portfolio of 35 percent Roll and 65 percent Ross by filling in the following table: Note: Do not round intermediate calculations. Enter all answers, except the standard deviation, as decimals rounded to 5 decimal places. Enter the standard deviation as a percent rounded to 2 decimal places. Calculating Portfolio Variance State of Economy Probability of State of Economy Portfolio Return if State Occurs Squared Deviation from Expected Return Product Bust 0.40 Boom 0.60 σ2p= Op= %
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- Use the following information on states of the economy and stock returns to calculate the expected return for Dingaling Telephone: (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) Probability of State of Security Return if State Occurs State of Economy Recession Economy 0.30 Normal Вoom -6.5% 9.0 16.6 0.55 0.15The information about asset X and Y are given as follows: Expected Standard Asset Return Deviation 10% 4% Y 15% 11% Correlation = -1 If it is possible to borrow at the risk-free rate, rf, calculate the following: Weight of Stock A: % (Round to two decimals) Weight of Stock B: % (Round to two decimals) Risk free rate: % (Round to two decimals)Consider the following information about Stocks I and II: Rate of Return if State Occurs Probability of State of State of Economy Recession Economy Stock I Stock Il .25 .06 -.30 Normal .45 .18 .06 Irrational exuberance .30 .12 .45 The market risk premium is 8 percent, and the risk-free rate is 6 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.) The standard deviation on Stock I's return is deviation on Stock II's return is stock's systematic risk/beta, Stock percent, and the Stock I beta is percent, and the Stock II beta is . The standar Therefore, based on the is "riskier".
- Suppose you observe the following situation: Security Beta Expected Return Pete Corp. 1.70 0.180 Repete Col 1.39 0.153 What is the risk-free rate? (Do not round intermediate calculations. Round the final answer to 3 decimal places) Risk-free rate % Assume these securities are correctly priced. Based on the CAPM, what is the expected return on the market? (Do not round intermediate calculations. Round the final answers to 2 decimal places.) Expected Return on Market Pete Corp. Repete Co.%Consider the following information about Stocks I and ll: Rate of Return If State Occurs Probability of State of- Economy .15 State of Economy Stock I Stock II Recession .05 -.21 Normal .70 .18 .10 Irrational exuberance .15 .07 .39 The market risk premium is 7 percent, and the risk-free rate is 3.5 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.) The standard deviation on Stock l's return is percent, and the Stock I beta is The standard deviation on Stock Il's return is percent, and the Stock II beta is Therefore, based on the stock's systematic risk/beta, Stock is riskier.You have $100,000 to invest in a portfolio containing Stock X and Stock Y. Your goal is to create a portfolio that has an expected return of 12.1 percent. Stock X has an expected return of 10.28 percent and a beta of 1.20, and Stock Y has an expected return of 7.52 percent and a beta of .80. a.How much money will you invest in Stock Y? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b.What is the beta of your portfolio? (Do not round intermediate calculations and round your answer to 3 decimal places, e.g., 32.161.) a. Investment in Stock Y b. Portfolio beta
- Consider the following information: Portfolio Expected Return Standard Deviation Risk-free 7% 0% Market 11.6 28 A 10.0 17 Required: a. Calculate the Sharpe ratios for the market portfolio and portfolio A. (Round your answers to 2 decimal places.) b. If the simple CAPM is valid, is the above situation possible?Consider the following information about Stocks I and II: State of Economy Probability of State of Economy Rate of Return if State Occurs Stock I Stock II Recession .20 .05 −.22 Normal .55 .20 .09 Irrational exuberance .25 .08 .42 The market risk premium is 8 percent, and the risk-free rate is 6 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.)The risk-free rate is 4.15 percent. What is the expected risk premium on this stock given the following information? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) Probability of Rate of Return if State State of the Economy State of Economy Вoom Occurs 0.35 16% Normal 14% 0.65
- Compute the abnormal rates of return for the following stocks during period t (ignore differential systematic risk): Stock % % % % BFT % B F T UE Rit = return for stock i during period t Rmt = return for the aggregate market during period t Use a minus sign to enter negative values, if any. Round your answers to one decimal place. ARBE: ARF: ARTI: ARC: AREL: с Rit 11.5% 9.2 12.5 12.5 15.9 Rmt 4.7% 6.2 6.6 15.2 11.1Consider 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 information: Rate of Return If State Occurs State of Probability of State of Economy Stock A Economy Stock B Recession .15 .06 - 10 Normal .56 .09 .19 Вoom .29 .14 .36 . 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.) . Calculate the standard deviation 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.) Stock A expected return % Stock B expected return % Stock A standard deviation % Stock B standard deviation %