Consider the characteristics of the following three stocks: Standard Deviation Pic Image Tax Help Warm Wear Expected Return 13% 14 18 25% 25 30 The correlation between Pic Image and Tax Help is 0.91. The correlation between Pic Image and Warm Wear is -0.19. The correlation between Tax Help and Warm Wear is -0.23. Select only two stocks for your portfolio based on expected returns and correlation. O Pic Image and Warm Wear Tax Help and Warm Wear Tax Help and Pic Image

Consider the characteristics of the following three stocks: Standard Deviation Pic Image Tax Help Warm Wear Expected Return 13% 14 18 25% 25 30 The correlation between Pic Image and Tax Help is 0.91. The correlation between Pic Image and Warm Wear is -0.19. The correlation between Tax Help and Warm Wear is -0.23. Select only two stocks for your portfolio based on expected returns and correlation. O Pic Image and Warm Wear Tax Help and Warm Wear Tax Help and Pic Image

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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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…
Stocks A and B have the following probability distributions of expected future returns: a. Calculate the expected rate of return, B, for Stock B (A = 12.50%.) Do not round intermediate calculations. Round your answer to two decimal places. % b. Calculate the standard deviation of expected returns, GA, for Stock A (σ = 20.90%.) 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. Is it possible that most investors might regard Stock B as being less risky than Stock A? I. If Stock B is more highly correlated with the market than A, then it might have a lower beta than Stock A, and hence be less risky in a portfolio sense. II. If Stock B is more highly correlated with the market than A, then it might have the same beta as Stock A, and hence be just as risky in a portfolio sense. III. If Stock B is less highly correlated with…
Suppose we form a portfolio invested in Mercedes and BMW stocks. The two stocks are equally weighted in the portfolio. The table below displays each stock’s mean return, variance, and standard deviation, as well as their covariance. Estimate the mean and variance of this portfolio, as well as its standard deviation. Show in detail your Asset returns Mercedes BMW Mean return 1.78% -0.48% Variance 0.0456 0.0276 Standard deviation 21.35% 16.61% Covariance 0.0020
Consider the following information: Economy Probability of State of Economy Rate of Return if State Occurs Stock A Stock B Recession .20 .010 −.35 Normal .55 .090 .25 Boom .25 .240 .48 Calculate the expected return for the two stocks. Calculate the standard deviation for the two stocks.
Consider the following information for stocks A, B, and C. The returns on the three stocks are positively correlated, but they are not perfectly correlated. (That is, each of the correlation coefficients is between 0 and 1.) Stock Expected Return Standard Deviation Beta A B с 9.30% 10.35 12.10 14% 14 14 0.8 1.1 1.6 Fund P has one-third of its funds invested in each of the three stocks. The risk-free rate is 6.5%, and the market is in equilibrium. (That is, required returns equal expected returns.) a. What is the market risk premium (гM-TRF)? Round your answer to one decimal place. % b. What is the beta of Fund P? Do not round intermediate calculations. Round your answer to two decimal places. c. What is the required return of Fund P? Do not round intermediate calculations. Round your answer to two decimal places. % d. What would you expect the standard deviation of Fund P to be? I. Less than 14% II. Greater than 14% III. Equal to 14% -Select-
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.
Consider the following expected returns, volatilities, and correlations: Stock Duke Energy Microsoft Wal-Mart Expected Standard Correlation with Correlation with Correlation with Return Duke Energy Deviation 14% 6% 44% 24% 23% 14% 1.0 -1.0 0.0 Microsoft -1.0 1.0 0.7 Wal-Mart 0.0 0.7 1.0 a) Consider a portfolio consisting of only Duke Energy and Microsoft. What is the percentage of your investment (portfolio weight) that you would place in Duke Energy stock to achieve a risk-free investment. b) What are the expected return and volatility of a portfolio that consists of a long position of $10,000 in Wal-Mart and a short position of $2000 in Microsoft? c) What are the expected return and platility of a portfolio that has $3000 invested in Duke Energy, $4000 invested in Microsoft, and $3000 invested in Walmart stock?
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Utilizing the information below on 2 recently purchased stocks, compute the risk of the portfolio for the different levels of correlation between the 2 securities: Stock A B Expected Return 0.14 0.17 Std Dev of returns 0.11 0.11 Proportion invested 0.35 0.65 Correlation coefficient 1 0.4 0.1 0 -0.4 -1
Vijay

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