HW 3 finance

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Colorado State University, Fort Collins *

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530

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Finance

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Apr 3, 2024

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docx

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16

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Question 1 1.5 / 1.5 pts The figure shown below is similar to a figure shown in the assigned reading in the textbook. The vertical axis shows the standard deviation in the portfolio returns. The horizontal axis tracks the number of assets (n) in the portfolio. The downward sloping curve tracks the decrease in total risk in the portfolio as additional assets are added. What are the synonyms for the "diversifiable risk" shown in the figure? Select all terms below that are synonyms of this type of risk. (If you would like to look at the textbook version of this figure see Figure 6.1 or 7.1 depending on the edition of the textbook that you are using. The figure appears in the section titled Diversification and Portfolio Risk.) unique risk firm-specific risk nonsystematic risk systematic risk market risk
credit risk default risk Partial Question 2 3 / 4 pts The x-axis shown in the figure below measures standard deviation in portfolio returns and the y-axis measures the expected return. The curve represents the investment frontier. The frontier was created using 2 underlying risky portfolios based on stocks (#11, square portfolio) and bonds (#2, circle portfolio). The correlation between the stock and bond portfolios in this example was -0.25. Assumptions: Expected return for portfolio #11 = 10% Expected return for portfolio #2 = 7% Risk free rate = 5% Expected return on tangency portfolio = 8%, standard deviation for tangency portfolio = 7% You have $10,000 of investment equity
Portfolio 13 is on the CAL tangent to the frontier and has an expected return of 10.3%. Which assets would you use to create portfolio 13? [ Select ] ["Portfolio #13 can be created using a combination of just the risk-free asset and the tangency portfolio.", "Portfolio #13 can be created using a combination of just the risk-free asset and the stock portfolio.", "Portfolio #13 can be created using a combination of just the risk- free asset and the bond portfolio.", "Portfolio #13 can be created using a combination of just the stock and bond portfolios."] Portfolio 8 is on the investment frontier and has an expected return of 9.1%. How much money would you need to invest in portfolio #11 if you wanted to create portfolio #8? Assume you can only invest in portfolios 2 and 11 and that you want to use all of your investment equity. [ Select ] ["We would invest $7,000 in portfolio #11 and the rest in portfolio #2 to create portfolio #8.", "We would invest $3,000 in portfolio #11 and the rest in portfolio #2 to create portfolio #8", "We would invest $5,000 in portfolio #11 and the rest in portfolio #2 to create portfolio #8.", "We would invest $1,000 in portfolio #11 and the rest in portfolio #2 to create portfolio #8."] When we talk about portfolio weights we use the word "shorting" synonymously with the idea of "borrowing" and this appears in the math as negative investment weights. Assume we can invest in the risk-free asset, the tangency
portfolio, the bond portfolio, and/or the stock portfolio. Which of the statements below are true? Only portfolio 13 requires shorting in some asset to create. True/False: Portfolios 1 and 2 are on the "efficient frontier". False Answer 1: Portfolio #13 can be created using a combination of just the risk-free asset and the tangency portfolio. E[r 8 ] = (w 2 )E[r 2 ] + (w 11 )E[r 11 ] E[r 8 ] = (1-w 11 )E[r 2 ] + (w 11 )E[r 11 ] .091 = (1-w 11 )E[r 2 ] + (w 11 )E[r 11 ] <-- plug in the values for the expected returns from the assumptions and solve for w 11 and then multiply w 11 by the investment equity Answer 2: We would invest $7,000 in portfolio #11 and the rest in portfolio #2 to create portfolio #8. All portfolios on the frontier are created by combining the bond and stock portfolio. This means that portfolio #8 would be created using the stock and bond portfolio. We are given the information that the portfolio #8 has an expected return of 9.1% so we would start with the formula for portfolio return. E[r 8 ] = w 11 *E[r 11 ] + w 2 *E[r 2 ] = w 11 *E[r 11 ] + (1-w 11 )*E[r 2 ] <- general expression for the return on a 2 asset portfolio 0.091 = w(0.10) + (1-w)(0.07) <- fill in the values we know 0.091 = 0.10w + 0.07 - 0.07w <- multiply the 0.07 by the terms in the paranthesis 0.091 = 0.03w + 0.07 subtract 0.07 from both sides of equation 0.021 = 0.03w divide both sides by 0.03 0.021/0.03 = w = .7 This means that 70% of our investment equity should be invested in the stock portfolio and 30% in the bond portfolio to create portfolio 8. Answer 3: Only portfolio 13 requires shorting in some asset to create. Answer 4: False Only the upper portion of the curve are considered the "efficient frontier". Question 3
1 / 1 pts The figure shown below is similar to a figure shown in the assigned reading in the textbook. The vertical axis shows the standard deviation in the portfolio returns. The horizontal axis tracks the number of assets (n) in the portfolio. The downward sloping curve tracks the decrease in total risk in the portfolio as additional assets are added. What are synonyms for the "market risk" shown in the figure? Select all terms below that are synonyms of this type of risk. (If you would like to look at the textbook version of this figure see Figure 6.1 or 7.1 depending on the edition of the textbook that you are using. The figure appears in the section titled Diversification and Portfolio Risk.) unique risk firm-specific risk nonsystematic risk systematic risk nondiversifiable risk credit risk
default risk Question 4 1 / 1 pts True/False: The tangency portfolio is the minimum variance portfolio. True False Partial Question 5 1 / 2 pts The figure shown below was discussed as part of the lecture. The vertical axis in the figure is the expected portfolio return. The horizontal axis in the figure is the standard deviation in portfolio returns. The E portfolio is a portfolio of risky stocks (equity), and the D portfolio is a portfolio of risky bonds (debt). The frontier shown with the solid blue curve requires a correlation between D and E of 0.30. This question is about the blue "dotted" and black "solid" frontiers shown in the figure. The labels "dotted" and "solid" appear in the figure to clarify which frontiers to look at. Which of these statements are false ? Select all that are false. (Remember in my class that the statement needs to be unconditionally true in order for it to be true. If you find yourself needing to add words to the statement to make it true then it is false as written).
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