State of Economy Probability of State of Economy Rate of Return if State Occurs Stock A Stock B Stock C .58 .14 .42 .16 a. b. Boom Bust .22.40 .06-.05 What is the expected return on an equally weighted portfolio of these three stocks? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) What is the variance of a portfolio invested 22 percent each in A and B and 56 percent in C? (Do not round intermediate calculations and round your answer to 6 decimal places, e.g., .161616.)

State of Economy Probability of State of Economy Rate of Return if State Occurs Stock A Stock B Stock C .58 .14 .42 .16 a. b. Boom Bust .22.40 .06-.05 What is the expected return on an equally weighted portfolio of these three stocks? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) What is the variance of a portfolio invested 22 percent each in A and B and 56 percent in C? (Do not round intermediate calculations and round your answer to 6 decimal places, e.g., .161616.)

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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USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM Investment Beta Analyst's Estimated Return Stock X 2.3 15.5% Stock Y 1.2 13.6% Market Portfolio 1.0 11.5% Risk-free rate 4.0% What is the required rate of return for Stock X based on the capital asset pricing model (CAPM)?
Please help me find the variance on this 3 stock portfolio.
Vijay
The beta coefficient A stock’s contribution to the market risk of a well-diversified portfolio is called Q1. ______risk. It can be measured by a metric called the beta coefficient, which calculates the degree to which a stock moves with the movements in the market. Q2. Based on your understanding of the beta coefficient, indicate whether each statement in the following table is true or false: Statement True False Over time, a stock with a beta of 1.0 produces a return that goes up and down with a 1:1 relationship with the return on the market. Beta measures the volatility in stock movements relative to the market. A stock that is more volatile than the market will have a beta of less than 1.0. Q1. Option 1 Unsystematic or Option 2 Relevant. Please provide true or false answers. Thank you!
pm.2
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…
Consider the following information on a portfolio of three stocks: Probability of State Stock A Rate of Economy of Return State of Economy Boom Normal Bust .25 .60 15 a. Expected return Variance Standard deviation b. Expected risk premium 0.10 % .04 .09 15 0.00993 Stock B Rate of Return 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? 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. 0.10 % % .33 . 13 . 14 b. If the expected T-bill rate is 3.4 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. Stock C Rate of Return .55 . 19 -.28
Here are some historical data on the risk characteristics of Ford and Harley Davidson. Ford Harley Davidson β (beta) 1.43 0.75 Yearly standard deviation of return (%) 33.3 16.9 Assume the standard deviation of the return on the market was 12.0%. a. The correlation coefficient of Ford’s return versus Harley Davidson is 0.38. What is the standard deviation of a portfolio invested half in each share? b. What is the standard deviation of a portfolio invested one-third in Ford, one-third in Harley Davidson, and one-third in risk-free Treasury bills? c. What is the standard deviation if the portfolio is split evenly between Ford and Harley Davidson and is financed at 50% margin, that is, the investor puts up only 50% of the total amount and borrows the balance from the broker? d-1. What is the approximate standard deviation of a portfolio composed of 100 stocks with betas of 1.43 like Ford? d-2. What is the approximate standard deviation of a portfolio composed of…
A second version of the Markowitz portfolio model maximizes expected return subject to a constraint that the variance of the portfolio must be less than or equal to some specified amount. Consider the Hauck Financial Service data. Click on the datafile logo to reference the data. Annual Return (%) Mutual Fund Year 1 Year 2 Year 3 Year 4 Year 5 Foreign Stock 10.06 13.12 13.47 45.42 -21.93 Intermediate-Term Bond 17.64 3.25 7.51 -1.33 7.36 Large-Cap Growth 32.41 18.71 33.28 41.46 -23.26 Large-Cap Value 32.36 20.61 12.93 7.06 -5.37 Small-Cap Growth 33.44 19.40 3.85 58.68 -9.02 Small-Cap Value 24.56 25.32 -6.70 5.43 17.31 (a) Construct this version of the Markowitz model for a maximum variance of 38. Let: FS = proportion of portfolio invested in the foreign stock mutual fund IB = proportion of portfolio invested in the intermediate-term bond fund LG = proportion of portfolio invested in the large-cap growth fund LV = proportion of portfolio invested in the large-cap value fund SG =…
v.2
What is the required return for each stock? What is required return for stock B? Scenario Probability Stock A Stock B Market Risk-free rate Bust 0.25 -0.15 -0.05 Normal 0.55 0.2 0.1 Boom 0.2 0.4 0.3 Beta 1.2 0.9 Expected return 0.13 0.05
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