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%

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%

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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9. A portfolio is composed of two stocks, Stock A and B. The standard deviation of return for Stock A is 50% and for Stock B it is 40%. If the covariance between the returns for Stock A and Stock B is -0.04, compute the correlation coefficient between the returns for Stock A and Stock B.
2.
Consider the following information: a. 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.) b. 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.)
b. Consider the following information about three stocks: Probability of State of i. ii. iii. iv. State of Economy V. Boom Recession Economy 0.40 0.60 From the information given, you are required to answer the following questions. Compute the Standard Deviation for each stock. Compute the Coefficient Variation for each stock. Based on your computation in part (i) and (ii), which stock is riskier? Explain your answer. Rate of Return if State Occurs Stock Hang Stock Hang Jebat 7% 13% Tuah 28% (5%) Stock Hang Kasturi 15% 3% Assume that you have RM14,000 invested in Stock Hang Jebat whose beta is 1.5, RM19,000 invested in Stock Hang Kasturi whose beta is 2.5 and RM17,000 invested in Stock Hang Tuah whose beta is 1.6. Determine what is the beta of this portfolio. Based on your answer in part (iv), compute the required rate of return for this portfolio, given that the market rate of return is 13% and risk-free rate is 5%.
Consider the following probability distribution for stocks A and B: State Probability Return on Stock A Return on Stock B 1 0.10 10% 8% 2 0.20 13% 7% 3 0.20 12% 6% 4 0.30 14% 9% 5 0.20 15% 8% The coefficient of correlation between A and B is:
Suppose a portfolio is given as follows: Investment Name ABC Corn Mill X-Treme Manufacturing b.) 3.6% Ob.) none listed a.) none listed a.) 4.5% a.) 4% b.) 4% b.) 3.4% Weight a.) 5% 0.4 0.6 a.) What is the expected return of the portfolio? b.) What is the standard deviation of the portfolio if the correlation is +0.4? Select the most appropriate responses below for parts a.) and b.). Expected Return 2% 7% Standard Deviation 2% 5%
Below are standard deviations of four stocks: M, N, O and P. Stock M N O P Standard deviation 12% 20% 15% 30% 1. Which stock is the riskest? 2. Based on the risk-return tradeoff, which stock should provide the highest 3. If stock O provides a higher return than stock P, what should happen?
1. The following table presents the expected returns of three stocks and the risk free rate. в 4% Stock A 8% Expected return What is the expected return and risk on an equally weighted portfolio composed of these four assets? The standard deviation of stock A is 10% and the covariance between A and B equals 0.0045. The correlation matrix between A, B and C is: 14% 4% Correl B A 1 0.3 0.7 B 0.3 0.5 0.5 Combining stocks A and C in a portfolio in equal proportions will result in a variance of 1.95%. 0.7
pm.2
Stock A has a correlation with the market of 0.53. Assuming that the standard deviation of returns for Stock A is 24.0% and that the standard deviation of returns for the market is 10.0%, what is beta for stock A? A 1.31 B. 1.27 C. 0.17 D. 0.22
2. Consider the following expected returns, volatilities, and correlations: Expected Standard Stock Return Deviation Correlation with Vital Correlation with Mital Correlation with Pital Vital 14% 6% 1.0 -1.0 0.0 Mital 44% 24% -1.0 1.0 0.7 Pital 23% 14% 0.0 0.7 1.0 a. Imagine a portfolio comprising solely of Vital and Mital. What portion of should be allocated to Vital stock to ensure a risk-free investment? your investment b. What is the portfolio's volatility when holding a $10,000 long position in Pital and a $2000 short position in Mital? wwwww c. In a market, there are two securities, Artis and Brotis. Currently, the price of Artis stands at £50. Looking ahead, the price of Artis next year will be £40 during a recession, £55 in normal economic times, and £60 in an expanding economy. The probabilities associated with recession, normal times, and expansion are 0.1, 0.8, and 0.1, respectively. Artis does not pay dividends and has a correlation of 0.8 with the market. On the other…
v.2

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