Exam 7: Asset Pricing Models: Capm and Apt

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Studies indicate that neither firm size nor the time interval used are important when computing beta.

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Which of the following would most closely resemble the true market portfolio?

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Exhibit 7-5 USE THE FOLLOWING INFORMATION FOR THE NEXT PROBLEM(S) Portiolio Expected Return Standard Deviation A 9.8\% 14.0\% B 6.7\% 9.8\% C 11.2\% 18.5\% -Refer to Exhibit 7-5. Which of the three portfolios are most likely to be the market portfolio?

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Which of the following variables were found to be important in explaining return based upon a study of Fama and French (covering the period 1963 to 1990)?

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An investor wishes to construct a portfolio by borrowing 35% of his original wealth and investing all the money in a stock index. The return on the risk-free asset is 4.0% and the expected return on the stock index is 15%. Calculate the expected return on the portfolio.

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Assume that as a portfolio manager the beta of your portfolio is 1.15 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=0.0625Rm(proxy)=0.12 \quad \mathrm{RFR}=0.0625 \quad \quad \quad \quad \mathrm{R}_{\mathrm{m}}(\mathrm{proxy})=0.12 2) RK=0.078Pm( \quad \mathrm{R}_{\mathrm{K}}=0.078 \quad\quad \quad \quad \quad \quad \mathrm{P}_{\mathrm{m}}( true )=0.10 )=0.10

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An investor wishes to construct a portfolio consisting of a 70% allocation to a stock index and a 30% allocation to a risk free asset. The return on the risk-free asset is 4.5% and the expected return on the stock index is 12%. Calculate the expected return on the portfolio.

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The only way to estimate a beta for a security is to calculate the covariance of the security with the market.

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Securities with returns that lie below the security market line are undervalued.

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The "true" market portfolio is unknown.

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Exhibit 7-8 USE THE FOLLOWING INFORMATION FOR THE NEXT PROBLEM(S) Consider the three stocks, stock X, stock Y and stock Z, that have the following factor loadings (or factor betas) Stack Factor 1 Loading Factor 2 Loading -0.55 1.2 -0.10 0.85 0.35 0.5 The zero-beta return (λ₀) = 3%, and the risk premia are λ₁ = 10%, λ₂ = 8%. Assume that all three stocks are currently priced at $50. -Refer to Exhibit 7-8. Assume that you wish to create a portfolio with no net wealth invested. The portfolio that achieves this has 50% in stock X, -100% in stock Y, and 50% in stock Z. The weighted exposure to risk factor 2 for stocks X, Y, and Z are

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In the APT model, the identity of all the factors is known.

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Utilizing the security market line an investor owning a stock with a beta of -2 would expect the stock's return to ____ in a market that was expected to decline 15%.

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Exhibit 7-9 USE THE FOLLOWING INFORMATION FOR THE NEXT PROBLEM(S) Stocks A, B, and C have two risk factors with the following beta coefficients. The zero-beta return (λ0) = .025 and the risk premiums for the two factors are (λ1) = .12 and (λ0) = .10. Stock Factor 1 Factor 2 A -0.25 1.1 B -0.05 0.9 C 0.01 0.6 -Refer to Exhibit 7-9. Assume that stocks A, B, and C never pay dividends and stocks A, B, and C are currently trading at $10, $20, and $30, respectively. What is the expected price next year for each stock? A B C I. \ 10.82 \ 21.82 \ 30.99 II. \ 11.05 \ 22.18 \ 30.96 III. \ 11.32 \ 22.56 \ 30.99 IV. \ 11.65 \ 22.42 \ 30.96 V. \ 18.50 \ 37.00 \ 48.30

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Exhibit 7-9 USE THE FOLLOWING INFORMATION FOR THE NEXT PROBLEM(S) Stocks A, B, and C have two risk factors with the following beta coefficients. The zero-beta return (λ0) = .025 and the risk premiums for the two factors are (λ1) = .12 and (λ0) = .10. Stock Factor 1 Factor 2 A -0.25 1.1 B -0.05 0.9 C 0.01 0.6 -Refer to Exhibit 7-9. Suppose that you know that the prices of stocks A, B, and C will be $10.95, 22.18, and $30.89, respectively. Based on this information

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Your broker has advised you that he believes that the stock of Brat Inc. is going to rise from $20 to $22.15 per share over the next year. You know that the annual return on the S&P/TSX composite index has been 11.25% and the 90-day T-bill rate has been yielding 4.75% per year over the past 10 years. If beta for Brat is 1.25, will you purchase the stock?

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Under the following conditions, what are the expected returns for stocks A and C? =0.07 =0.95 =0.04 =1.10 =0.03 =1.10 =2.35

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All of the following questions remain to be answered in the real world except

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Assume that the risk-free rate of return is 3% and the market portfolio on the Capital Market Line (CML) has an expected return of 11% and a standard deviation of 14%. How should you invest $100,000 if you are only willing to accept a total portfolio risk of 8%?

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Consider the following list of risk factors: 1. monthly growth in industrial production 2. return on high book to market value portfolio minus return on low book to market value portfolio 3. change in inflation 4. excess return on stock market portfolio 5. return on small cap portfolio minus return on big cap portfolio 6. unanticipated change in bond credit spread Which of the following factors would you use to develop a microeconomic-based risk factor model?

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