2. The following are estimates for two stocks. Expected Return 13% 18 Stock A Beta Stock A Stock B T-bills: 0.8 1.2 The market index has a standard deviation of 22% and the risk-free rate is 8%. a. What are the standard deviations of stocks A and B? b. Suppose that we were to construct a portfolio with proportions: Firm-Specific Standard Deviation 30% 40 .30 45 25 Compute the expected return, standard deviation, beta, and nonsystematic standard deviation of the portfolio.

2. The following are estimates for two stocks. Expected Return 13% 18 Stock A Beta Stock A Stock B T-bills: 0.8 1.2 The market index has a standard deviation of 22% and the risk-free rate is 8%. a. What are the standard deviations of stocks A and B? b. Suppose that we were to construct a portfolio with proportions: Firm-Specific Standard Deviation 30% 40 .30 45 25 Compute the expected return, standard deviation, beta, and nonsystematic standard deviation of the portfolio.

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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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%
1. If a stock has a(Alpha)=0.002, b(Beta)=1.4, Using the market model (eq. 7.4), find the expected percent return for the above stock if the market return is expected to be 2% and the risk free rate is 1%. 2. Assume stock prices follow a random walk and a particular stock has had the following recent stock prices: Day 1: 129.5 Day 2: 126.9 Day 3: 127.1 what is the best estimate of day 4 prices?
4. Consider the following information. Your portfolio is invested 30 percent each in A and C, and 40 percent in B. What is the expected return and standard deviation of this portfolio? (10 marks) State of Probability of Rate of Return if State Occurs Economy State of Economy Stock A Stock B Stock C Boom 0.15 0.30 0.45 0.33 Good 0.45 0.12 0.10 0.15 Poor 0.35 0.01 -0.15 -0.05 Bust 0.05 -0.06 -0.30 -0.09
Consider the following information on a portfolio of three stocks: State of Probability of Economy State of Economy Boom .12 Normal Bust .33 Stock A Rate of Return .07 .16 Stock B Rate of Return .32 .27 -.26 Stock Rate of Return .45 .25 -.35 a. 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. bIf the expected T-bill rate is 4.5 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 . % a. Expected return Variance Standard deviation % b. Expected risk premium %
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.
Nikul
5. The following data is given about stocks A, B, and C. You have a portfolio with an expected return of 15%. What is the standard deviation of the portfolio if 30% of the total investment is in Stock E? Retum and Risk Retum Correlations A. E[r] 25% Stock 50% 1.00 0.40 0.20 A B. 15% 40% 0.40 1.00 -0.50 5% 30% -0.20 -0.50 1.00
Problem 1. The following are estimates for two stocks. Firm-Specific Standard Deviation 25% 40 Stock Expected Return Beta 7% A 0.90 1.30 B 11 The market index has a standard deviation of 24% and the risk-free rate is 4%. a) What are the standard deviations of stocks A and B? b) Suppose we build a portfolio with the following weights: 50% in stock A, 40% in stock B, and 10% in risk- free T-bills. Compute the expected return, standard deviation, beta, and nonsystematic standard deviation of the portfolio
You are analyzing a stock that has a beta of 1.3 and a standard deviation of 12.0%. The risk-free rate is 4.2% and you estimate the expected return on the market portfolio to be 11.1%. What return do you expect this stock to have? The expected return according to CAPM is: OA. 13.2% B. 14.3% OC. 19.8% OD. 18.6% OE 12.0% OF. 14.4% OG. 9.8% OH. 8.7% OL 9.0%
Vijay
Suppose you bought $48,000 worth of stock A and $80,000 worth of stock B. The standard deviation of returns is 59% for stock A and 27% for stock B. The two stocks' returns have a correlation of 0.2. What is the standard deviation of this portfolio's returns? a. 15.2% b. 18.6% c. 23.6% O d. 26.9% O e. 30.4% QUESTION 10
3. Consider two perfectly correlated stocks A and B. The standard deviation of return on stock A is 10% and that of stock B is 15%. The standard deviation of the return of a portfolio that invests equally in stocks A and B is generally A. equal to 12.5% D. greater than 14% B. smaller than 12.5% C. greater than 12.5%

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