Exam 7: Asset Pricing Models: Capm and Apt

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Exhibit 7-3 USE THE FOLLOWING INFORMATION FOR THE NEXT PROBLEM(S) Period Return of Radtran (Percent) Ppecific Index (Percent) True General Index (Percent) 1 10 12 15 2 12 10 13 3 -10 -8 -8 4 -4 -10 0 -Refer to Exhibit 7-3. What is the average proxy return?

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Exhibit 7-4 USE THE FOLLOWING INFORMATION FOR THE NEXT PROBLEM(S) Stock Beta Current Price Expected Price Expected Dividend 0.8 \ 12.50 \ 13.10 \ 0.80 1.1 \ 8.25 \ 9.76 \ 0.20 2.1 \ 25.70 \ 30.04 \ 0.00 -Refer to Exhibit 7-4. What are the expected returns for stocks X, Y, and Z for the next period based on the above prices and dividends? I. 4.8\% 18.3\% 16.9\% II. 10.7\% 17.5\% 14.4\% III. 11.2\% 20.7\% 16.9\% IV. 12.3\% 22.5\% 22.3\% V. 13.1\% 24.3\% 18.2\%

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Under the following conditions, what are the expected returns for stocks Y and Z? =0.05 =0.75 =0.06 =1.35 =0.05 =1.5 =0.85

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Assume that as a portfolio manager the beta of your portfolio is 1.3 and that your performance is exactly on target with the SML data under condition 1. If the true SML data is given by condition 2, how much does your performance differ from the true SML? 1) RFR=.08Pm( \quad \mathrm{RFR}=.08 \quad \quad \quad \mathrm{P}_{\mathrm{m}}( proxy )=.11 )=.11 2) RK=.07Rm( \quad \mathrm{R}_{\mathrm{K}}=.07 \quad \quad \quad \quad \mathrm{R}_{\mathrm{m}}( true )=.14 )=.14

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The betas of those companies compiled by Value Line Investment Services tend to be almost identical to those compiled by Merrill Lynch.

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The expected return for a stock, calculated using the CAPM, is 10.5%. The market return is 9.5% and the beta of the stock is 1.50. Calculate the implied risk-free rate.

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The ____ the number of stocks in a portfolio and the ____ the time period the ____ the portfolio beta.

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In the presence of transactions costs, the SML will be

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Under the following conditions, what are the expected returns for stocks A and B? =0.035 =1.00 =0.05 =1.40 =0.06 =1.70 =0.65

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Exhibit 7-3 USE THE FOLLOWING INFORMATION FOR THE NEXT PROBLEM(S) Period Return of Radtran (Percent) Ppecific Index (Percent) True General Index (Percent) 1 10 12 15 2 12 10 13 3 -10 -8 -8 4 -4 -10 0 -Refer to Exhibit 7-3. What is the covariance between Radtron and the true index?

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Exhibit 7-7 USE THE FOLLOWING INFORMATION FOR THE NEXT QUESTION(S) (1) Capital markets are perfectly competitive. (2) Quadratic utility function. (3) Investors prefer more wealth to less wealth with certainty. (4) Normally distributed security returns. (5) Representation as a K factor model. (6) A market portfolio that is mean-variance efficient. -Refer to Exhibit 7-7 In the list above which are assumptions of the Arbitrage Pricing Model?

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A friend has some reliable information that the stock of Puddles Company is going to rise from $43.00 to $50.00 per share over the next year. You know that the annual return on the S&P/TSX composite index has been 11% and the 90-day T-bill rate has been yielding 5% per year over the past 10 years. If beta for Puddles is 1.5, will you purchase the stock?

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Calculate the expected return for B Services which has a beta of 0.83 when the risk free rate is 0.05 and you expect the market return to be 0.12.

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Which of the following is not a step required for a multifactor risk model to estimate expected return for an individual stock position?

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There can be only one zero-beta portfolio.

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To date, the results of empirical tests of the Arbitrage Pricing Model have been

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Exhibit 7-3 USE THE FOLLOWING INFORMATION FOR THE NEXT PROBLEM(S) Period Return of Radtran (Percent) Ppecific Index (Percent) True General Index (Percent) 1 10 12 15 2 12 10 13 3 -10 -8 -8 4 -4 -10 0 -Refer to Exhibit 7-3. What is the beta for Radtron using the true index?

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What does Beta measure?

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Assume that as a portfolio manager the beta of your portfolio is 0.85 and that your performance is exactly on target with the SML data under condition 1. If the true SML data is given by condition 2, how much does your performance differ from the true SML? 1) RFR=0.0475 \quad \mathrm{RFR}=0.0475 \quad \quad \quad Rm(proxy)=0.0975 \mathrm{R}_{\mathrm{m}}(\mathrm{proxy})=0.0975 2) RK=0.0325 \quad \mathrm{R}_{\mathrm{K}}=0.0325 \quad \quad \quad Pm( \mathrm{P}_{\mathrm{m}}( true )=0.0845 )=0.0845

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A completely diversified portfolio would have a correlation with the market portfolio that is

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