CHAPTER 9—MULTIFACTOR MODELS OF RISK AND RETURN TRUE/FALSE
Question: Studies strongly suggest that the CAPM be abandoned and replaced with the
APT. Answer:
Question: The APT does not require a market portfolio. Answer:
Question: Studies indicate that neither firm size nor the time interval used are important
when computing beta. Answer:
Question: Findings by Fama and French that stocks with high Book Value to Market Price
ratios tended to produce larger risk adjusted returns than stocks with low Book Value to
Market Price ratios challenge the efficacy of the CAPM. Answer:
Question: Findings by Basu that stocks with high P/E ratios tended to stocks with low P/E
ratios challenge the efficacy of the CAPM. Answer:
Question: The APT assumes that capital markets are perfectly competitive. Answer:
Question: The APT assumes that security returns are normally distributed. Answer:
Question: In the APT model, the identity of all the factors is known. Answer:
Question: According to the APT model all securities should be priced such that riskless
arbitrage is possible. Answer:
Question: Empirical tests of the APT model have found that as the size of a portfolio
increased so did the number of factors. Answer:
Question: Multifactor models of risk and return can be broadly grouped into models that
use macroeconomic factors and models that use microeconomic factors. Answer:
Question: Arbitrage Pricing Theory (APT) specifies the exact number of risk factors and
their identity. Answer:
Question: A major advantage of the Arbitrage Pricing Theory is the risk factors are clearly
universally identifiable. Answer:
Question: The January Effect is an anomaly where returns in January are significantly
smaller than in any other month. Answer:
Question: One method for estimating the parameters for the Capital Asset Pricing Model is
to estimate a portfolios characteristic line via regression techniques using the single-index
market model. Answer:
USE THE FOLLOWING INFORMATION FOR THE NEXT QUESTION(S)
NARREND Question: Refer to Exhibit 9-1. In the list above which are assumptions of the
Arbitrage Pricing Model?
Answer:
Question: Refer to Exhibit 9-1. Which are not assumptions of the Arbitrage Pricing
model?
Answer:
Question: To date, the results of empirical tests of the Arbitrage Pricing Model have been
Answer:
Question: Unlike the capital asset pricing model, the arbitrage pricing theory requires only
the following assumption(s):
Answer:
Question: Consider the following two factor APT model E(R) = 0 + 1b1 + 2b2
Answer:
Question: In the APT model the idea of riskless arbitrage is to assemble a portfolio that
Answer:
Question: In one of their empirical tests of the APT, Roll and Ross examined the
relationship between a securitys returns and its own standard deviation. A finding of a
statistically significant relationship would indicate that
Answer:
Question: Cho, Elton, and Gruber tested the APT by examining the number of factors in
the return generating process and found that
Answer:
Question: Dhrymes, Friend, and Gultekin, in their study of the APT found that
Answer:
Question: Assume that you are embarking on a test of the small-firm effect using APT. You
form 10 size-based portfolios. The following finding would suggest there is evidence
supporting APT
Answer:
Question: The equation for the single-index market model is
Answer:
Question: The excess return form of the single-index market model is
Answer:
Question: Consider the following list of risk factors:
Which of the following factors would you use to develop a macroeconomic-based risk
factor model?
Answer:
Question: Consider the following list of risk factors:
Which of the following factors would you use to develop a microeconomic-based risk
factor model?
Answer:
Question: In a macro-economic based risk factor model, the following factor would be one
of many appropriate factors.
Answer:
Question: In a multifactor model, confidence risk represents
Answer:
Question: In a multifactor model, time horizon risk represents
Answer:
Question: In a micro-economic (or characteristic) based risk factor model the following
factor would be one of many appropriate factors
Answer:
Question: A study by Chen, Roll, and Ross in 1986 examined all of the following factors in
applying the Arbitrage Pricing Theory (APT) except the
Answer:
Question: Which of the following is not a step required for a multifactor risk model to
estimate expected return for an individual stock position?
Answer:
Question: A 1994 study by Burmeister, Roll, and Ross defined all of the following risk
factors except
Answer:
Question: Under the following conditions, what are the expected returns for stocks X and
Y?
Answer:
Question: Under the following conditions, what are the expected returns for stocks Y and
Z?
Answer:
Question: Under the following conditions, what are the expected returns for stocks A and
B?
Answer:
Question: Under the following conditions, what are the expected returns for stocks X and
Y?
Answer:
Question: Under the following conditions, what are the expected returns for stocks A and
C?
Answer:
Question: Consider a two-factor APT model where the first factor is changes in the 30-year
T-bond rate, and the second factor is the percent growth in GNP. Based on historical
estimates you determine that the risk premium for the interest rate factor is 0.02, and the
risk premium on the GNP factor is 0.03. For a particular asset, the response coefficient for
the interest rate factor is −1.2, and the response coefficient for the GNP factor is 0.80. The
rate of return on the zero-beta asset is 0.03. Calculate the expected return for the asset.
Answer:
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)
The zero-beta return (0) = 3%, and the risk premia are 1 = 10%, 2 = 8%. Assume that all
three stocks are currently priced at $50. NARREND Question: Refer to Exhibit 9-2. The
expected returns for stock X, stock Y, and stock Z are
Answer:
Question: Refer to Exhibit 9-2. The expected prices one year from now for stocks X, Y,
and Z are
Answer:
Question: Refer to Exhibit 9-2. If you know that the actual prices one year from now are
stock X $55, stock Y 52, and stock Z $57, then
Answer:
Question: Refer to Exhibit 9-2. 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 1 for stocks X, Y, and Z are
Answer:
Question: Refer to Exhibit 9-2. 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
Answer:
Question: Refer to Exhibit 9-2. Assume that you wish to create a portfolio with no net
wealth invested and the portfolio that achieves this has 50% in stock X, −100% in stock Y,
and 50% in stock Z. The net arbitrage profit is
Answer:
Question: Refer to Exhibit 9-2. The new prices now for stocks X, Y, and Z that will not
allow for arbitrage profits are
Answer:
Question: The table below provides factor risk sensitivities and factor risk premia for a
three factor model for a particular asset where factor 1 is MP the growth rate in U.S.
industrial production, factor 2 is UI the difference between actual and expected inflation,
and factor 3 is UPR the unanticipated change in bond credit spread.
Calculate the expected excess return for the asset.
Answer:
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 (0)
= .025 and the risk premiums for the two factors are (1) = .12 and (0) = .10.
NARREND Question: Refer to Exhibit 9-3. Calculate the expected returns for stocks A, B,
C.
Answer:
Question: Refer to Exhibit 9-3. 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?
Answer:
Question: Refer to Exhibit 9-3. 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
Answer: