Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA = 3.60% +1.20RM + еA RB-1.60% + 1.50RM + eB ом = 16%; R-squareA = 0.25; R-squareB = 0.15 Assume you create portfolio P with investment proportions of 0.70 in A and 0.30 in B. a. What is the standard deviation of the portfolio? (Do not round your intermediate calculations. Round your answer to 2 decimal places.) Standard deviation % b. What is the beta of your portfolio? (Do not round your intermediate calculations. Round your answer to 2 decimal places.)

Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA = 3.60% +1.20RM + еA RB-1.60% + 1.50RM + eB ом = 16%; R-squareA = 0.25; R-squareB = 0.15 Assume you create portfolio P with investment proportions of 0.70 in A and 0.30 in B. a. What is the standard deviation of the portfolio? (Do not round your intermediate calculations. Round your answer to 2 decimal places.) Standard deviation % b. What is the beta of your portfolio? (Do not round your intermediate calculations. Round your answer to 2 decimal places.)

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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The following expected return and the standard deviation of current returns are known: Security (i) Expected Return Standard Deviation βi A 0.20 0.12 1.1 B 0.12 0.10 0.8T-Bills 0.05 0 0Market Portfolio 0.20 0.15 1 a) Determine the weights of a portfolio with a standard deviation of 7% created by combining T-Bill and the market portfolio. b) Determine which of A or B is over-valued or undervalued. c) How will you invest $1000 in riskless T-bills and the risky assets in the Market Portfolio to maintain a standard deviation of 10%. Pls show procedure, thanks
Suppose stock returns have a 2-factor structure. You observe a broad stock market portfolio A which earns on average 7.4% and has beta 0.5 on the first factor and beta 0.7 on the second factor; and another broad stock market portfolio B which earns on average 10.6% and has beta 1.2 on the first factor and beta 0.2 on the second factor. The risk free return is 3%. What do you expect to earn from a portfolio with beta 1 on the first factor and zero on the second factor?
Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA = 3.50% + 0.65RM + еA RB ом = -1.60% +0.80RM + eB = = 21%; R-squareд 0.22; R-squareg = 0.14 Assume you create a portfolio Q, with investment proportions of 0.50 in a risky portfolio P, 0.30 in the market index, and 0.20 in T-bill. Portfolio P is composed of 60% Stock A and 40% Stock B. Required: a. What is the standard deviation of portfolio Q? Note: Calculate using numbers in decimal form, not percentages. For example use "20" for calculation if standard deviation is provided as 20%. Do not round intermediate calculations. Round your answer to 2 decimal places. b. What is the beta of portfolio Q? Note: Calculate using numbers in decimal form, not percentages. For example use "20" for calculation if standard deviation is provided as 20%. Do not round intermediate calculations. Round your answer to 2 decimal places. c. What is the "firm-specific" risk of portfolio Q? Note:…
You are given the following information concerning three portfolios, the market portfolio, and the risk-free asset: Portfolio X Y Z Market Risk-free Rp 14.0% 13.0 .8.5 12.0 7.2 Ор 39.00% 34.00 24.00 29.00 0 Bp 1.50 1.15 0.90 1.00 0 Assume that the correlation of returns on Portfolio Y to returns on the market is 0.90. What percentage of Portfolio Y's return is driven by the market? Note: Enter your answer as a decimal not a percentage. Round your answer to 4 decimal places. R-squared
The index model has been estimated using historical excess return data for stocks A, B, and C, with the following results: RA = 0.02 + 0.9RM + eA RB = 0.04 + 1.2RM + eB RC = 0.10 + 1.ORM + eC OM oM = 0.22 o(eA) = 0.21 o(eB ) = 0.11 o(eC ) = 0.23 a. What are the standard deviations of stocks A, B, and C? b. Break down the variances of stocks A, B, and C into their systematic and firm-specific components. c. What is the covariance between the returns on each pair of stocks? d. What is the covariance between each stock and the market index?
Fiona constructs an investment portfolio using two common stocks, A and B. a. Suppose the weight attached to A, wA, is 0.5. Using that information, please fill in the blanks in the table below: Probability Return on A 40% 10% Return on B Return on Portfolio P when WA = 0.5 -5% 8% 0.3 0.4 0.3 50% 5% b. Assuming probability and the corresponding return rates of A and B remain the same as those in Question 4.a, please compute the return on portfolio P2 when wa = 0.8 (simply fill in the blanks in the following table): Probability Return on A || Return on B | Return on Portfolio P2 when wa = 0.8 0.3 40% 0.4 10% 0.3 50% c. Assume the risk-free interest rate is 2%. Which portfolio is more attractive? P or P? Please explain.
You are given the following information concerning three portfolios, the market portfolio, and the risk- free asset: Portfolio X Y Z Market Risk-free Rp 14.5% R-squared 13.5 9.1 10.7 5.4 op 36% 31 21 26 0 6p 1.60 1.30 .80 1.00 0 Assume that the correlation of returns on Portfolio Y to returns on the market is 72. What percentage of Portfolio Y's return is driven by the market? (Enter your answer as a decimal not a percentage. Round your answer to 4 decimal places.)
b) Suppose that you observe the following information in Table 2 for stocks A and B: Table 2 Expected Return (%) 11% Stock Beta A 0.8 В 14% 1.5 The risk-free rate of return is 6% and the expected rate of return on the market index is 12%. Using the Single-Index Model, calculate the alpha of both stocks. Show your calculations. Explain what the alpha of the single-factor model represents and interpret your results.
Suppose you are the money manager of a P4.0 investment portfolio consists of stocks with the following investment and betas: Stock Beta S 1.5 T (0.50) A 1.25 R 0.75 If the market required return is 14% and the risk free rate is 6%,a) What is the portfolio beta?b) What is the portfolio required rate of return?
Three securities have the characteristics described in the following table: A Return Return Return Prob Prob Prob 0.2 0.03 9 0.15 10 0.2 0.03 11 0.2 12 0.2 11 0.35 13 0.25 15 0.2 14 0.4 14 0.25 18 0.2 16 0.19 18 0.15 If RL equals 10%, what is the preferred investment shown in the table above using Roy's safety-first criterion? O A Ов O C O None of the above O All are equally desirable
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.
2.

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