Exam 7: Asset Pricing Models: Capm and Apt

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When identifying undervalued and overvalued assets, which of the following statements is false?

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All of the following are assumptions of the Capital Asset Pricing Model (CAPM) except

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In the APT model the idea of riskless arbitrage is to assemble a portfolio that

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Theoretically, what is the correlation coefficient between a completely diversified portfolio and the market portfolio?

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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. What are the weighted exposures to risk factor 1 for stocks X, Y, and Z?

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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%. The standard deviation of returns on the stock index 6%. Calculate the expected standard deviation of the portfolio.

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Exhibit 7-1 USE THE FOLLOWING INFORMATION FOR THE NEXT PROBLEM(S) Year RA Computer Market Index 1 13 17 2 9 15 3 -11 6 4 10 8 5 11 10 6 6 12 -Refer to Exhibit 7-1. The equation of the characteristic line for RA is

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Exhibit 7-6 USE THE FOLLOWING INFORMATION FOR THE NEXT PROBLEM(S) Jonathan Crowley is a portfolio manager for a large pension fund. Last year his portfolio had an actual return of 12.6% with a standard deviation of 13% and a beta of 1.3. The market risk premium for this period of time was 6% and the risk-free rate of return was 5%. -Refer to Exhibit 7-6. How does Jonathan Crowley's portfolio compare to the market portfolio?

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Findings by Basu that stocks with high P/E ratios tended to stocks with low P/E ratios challenge the efficacy of the CAPM.

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Exhibit 7-1 USE THE FOLLOWING INFORMATION FOR THE NEXT PROBLEM(S) Year RA Computer Market Index 1 13 17 2 9 15 3 -11 6 4 10 8 5 11 10 6 6 12 -Refer to Exhibit 7-1. Compute the intercept of the characteristic line for RA Computer.

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The expected return for Zbrite stock calculated using the CAPM is 15.5%. The risk free rate is 3.5% and the beta of the stock is 1.2. Calculate the implied market risk premium.

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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. Calculate the risk premium per unit of risk for the three portfolios above assuming the risk-free rate is 4.0%. Partiolin: I. 0.068 0.027 0.072 II. 0.414 0.276 0.389 III. 0.700 0.680 0.605 IV 0.300 0.280 0.205 V. 0.650 0.580 0.480

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The standard deviation for the risk-free security is equal to zero.

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A 1994 study by Burmeister, Roll, and Ross defined all of the following risk factors except

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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 proxy index?

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The fact that tests have shown the CAPM intercept to be greater than the RFR is consistent with a

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In a multifactor model, what does the time horizon risk represent?

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The portfolios on the capital market line are combinations of the risk-free asset and the market portfolio.

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

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If you borrow money at the RFR and invest the money in the market portfolio, the rate of return on your portfolio will be higher than the market rate of return.

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