The following are estimates for two stocks. Firm- Specific Expected Standard Stock Return Beta Deviation AB 14% 0.90 30% 21 1.40 42 The market index has a standard deviation of 20% and the risk-free rate is 7%. Required: a. What are the standard deviations of stocks A and B? b. Suppose that we were to construct a portfolio with proportions: Stock A Stock B 0.30 0.45 0.25 T-bills Compute the expected return, beta, nonsystematic standard deviation, and standard devia

The following are estimates for two stocks. Firm- Specific Expected Standard Stock Return Beta Deviation AB 14% 0.90 30% 21 1.40 42 The market index has a standard deviation of 20% and the risk-free rate is 7%. Required: a. What are the standard deviations of stocks A and B? b. Suppose that we were to construct a portfolio with proportions: Stock A Stock B 0.30 0.45 0.25 T-bills Compute the expected return, beta, nonsystematic standard deviation, and standard devia

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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Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA - 2.60 + 0.90RM + CA Rg- -2.00 + 1.20RM + eg OM- 26, R-equarea 0.21; R-squaren 0.12 Assume you create portfolio Pwith investment proportions of 0.70 in A and 0.30 in B. a. What is the standard deviation of the portfollo? (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.) Portfolio beta c. What is the firm-specific variance of your portfolio? (Do not round your intermediate calculations. Round your answer to 4 decimal places.) Firm-specific
v.2
An investor has the following expectations on the performance of Stock X and Stock Y: Probability Scenario Returns (%) Stock X Stock Y 0.20 Good 50% 14% 0.50 Average 30% 6% 0.30 Bad -10% 6% Estimate the portfolio return with an allocation of 70:30 (X:Y) in the two stocks. Select one: O a. 11.92% ОБ. 14.80% O. 32.00% O d. 17.68% Following Question 18, estimate the correlation coefficient between the two stocks. Select one: O a. 0.63 оъ. 0.46 O c. 0.84 O d. 0.76 Following Question 18 and 19, estimate the portfolio standard deviation with an allocation of 40:60 in these two stocks. Select one: O a. 9.6% о ь. 10.8% O c. 10.2% O d. 9.2%
Suppose a portfolio is given as follows: Securities Weight BPW CJW AJT O 6.0% O 5.0% 0.3 O 5.1% 0.4 O 7.0% Onone listed Expected Standard Return Deviation 6% 7% 0.3 5% What is the expected return of the portfolio (to 1 decimal place)? 6% 4% 3%
Question
We have the following information on Stocks A and B. The risk-free rate is 5%, and the market risk premium is 7.5%. Assume that the market portfolio is correctly priced. Based on the reward-to-risk ratio, are Stocks A and B overpriced, underpriced, or correctly priced? Stock A Stock B Expected return 1196 16.25% Beta 0.8 1.5
Stocks A and B have the following probability distributions of expected future returns: Probability A B 0.1 (5 %) (38 %) 0.2 5 0 0.5 14 21 0.1 23 27 0.1 28 38 Calculate the expected rate of return, , for Stock B ( = 12.60%.) Do not round intermediate calculations. Round your answer to two decimal places. % Calculate the standard deviation of expected returns, σA, for Stock A (σB = 20.20%.) Do not round intermediate calculations. Round your answer to two decimal places. % Now calculate the coefficient of variation for Stock B. Do not round intermediate calculations. Round your answer to two decimal places. Assume the risk-free rate is 2.5%. What are the Sharpe ratios for Stocks A and B? Do not round intermediate calculations. Round your answers to four decimal places. Stock A: Stock B:
Consider the following information on a portfolio of three stocks: State of Economy Probability of State of Economy Stock A Rate of Return Stock B Rate of Return Stock C Rate of Return Boom.13.02.32.50 Normal.55.10.22.20 Bust .32.16.21.35 If your portfolio is invested 40 percent each in A and B and 20 percent in C, what is the portfolio's expected return, the variance, and the standard deviation? Note: Do not round intermediate calculations. Round your variance answer to 5 decimal places, e.g., 16161. Enter your other answers as a percent rounded to 2 decimal places, e. g., 32.16. If the expected T-bill rate is 4.25 percent, what is the expected risk premium on the portfolio? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e. g., 32.16.
Stocks A and B have the following probability distributions of expected future returns: Probability A B 0.1 (20%) (46%) 0.2 7 0 0.4 15 15 0.2 23 30 0.1 47 50 Calculate the standard deviation of returns for Stock A.
Find the Beta for Stock Y given the Expected Return of Stock Y is 18.4% The expected return on the Market Portfolio is 28.4% and Risk-Free Rate is 4.5 %. Select one: O a. 0.60 O b. 0.90 O c None O d. 0.56 O e. 0.80
Stock A has a beta of 1.30, and its required return is 11.35%. Stock B's beta is 0.80. If the risk-free rate is 2.90%, what is the required rate of return on B's stock? (Hint: First find the market risk premium.) Do not round your intermediate calculations. a. 8.10% b. 6.50% c. 7.56% d. 8.45% e. 8.77%
Nikul

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