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If the returns of two firms are negatively correlated, then one of them must have a negative beta.

A) True
B) False

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In portfolio analysis, we often use ex post (historical) returns and standard deviations, despite the fact that we are interested in ex ante (future) data.

A) True
B) False

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You are given the following returns on "the market" and Stock F during the last three years.We could calculate beta using data for Years 1 and 2 and then, after Year 3, calculate a new beta for Years 2 and 3.How different are those two betas, i.e., what's the value of beta 2 ? beta 1? (Hint: You can find betas using the Rise-Over-Run method, or using your calculator's regression function.)  Year  Market  Stock F 16.10%6.50%212.90%3.70%316.20%21.71%\begin{array} { c r r } \text { Year } & \text { Market } & \text { Stock F } \\1 & 6.10 \% & 6.50 \% \\2 & 12.90 \% & - 3.70 \% \\3 & 16.20 \% & 21.71 \%\end{array}


A) 7.89
B) 8.30
C) 8.74
D) 9.20
E) 9.66

F) B) and D)
G) A) and E)

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A stock you are holding has a beta of 2.0 and the stock is currently in equilibrium.The required rate of return on the stock is 15% versus a required return on an average stock of 10%.Now the required return on an average stock increases by 30.0% (not percentage points) .The risk-free rate is unchanged.By what percentage (not percentage points) would the required return on your stock increase as a result of this event?


A) 36.10%
B) 38.00%
C) 40.00%
D) 42.00%
E) 44.10%

F) A) and D)
G) A) and C)

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The slope of the SML is determined by the value of beta.

A) True
B) False

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Your mother's well-diversified portfolio has an expected return of 12.0% and a beta of 1.20.She is in the process of buying 100 shares of Safety Corp.at $10 a share and adding it to her portfolio.Safety has an expected return of 15.0% and a beta of 2.00.The total value of your current portfolio is $9,000.What will the expected return and beta on the portfolio be after the purchase of the Safety stock? Ipbp \quad\underline{\text {Ip}}\quad\quad\underline{\text {bp}} a. 11.69%;1.2211.69 \% ; 1.22 b. 12.30%;1.2812.30 \% ; 1.28 c. 12.92%;1.3412.92 \% ; 1.34 d. 13.56%;1.4113.56 \% ; 1.41 e. 14.24%;1.4814.24 \% ; 1.48

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Which of the following is NOT a potential problem with beta and its estimation?


A) Sometimes, during a period when the company is undergoing a change such as toward more leverage or riskier assets, the calculated beta will be drastically different than the "true" or "expected future" beta.
B) The beta of "the market," can change over time, sometimes drastically.
C) Sometimes the past data used to calculate beta do not reflect the likely risk of the firm for the future because conditions have changed.
D) There is a wide confidence interval around a typical stock's estimated beta.
E) Sometimes a security or project does not have a past history which can be used as a basis for calculating beta.

F) A) and B)
G) A) and C)

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Calculate the required rate of return for the Wagner Assets Management Group, which holds 4 stocks.The market's required rate of return is 15.0%, the risk-free rate is 7.0%, and the Fund's assets are as follows:  Stock  Investment  Beta  A $200,0001.50 B 300,0000.50 C 500,0001.25 D 1,000,0000.75\begin{array} { c r r } \text { Stock } & \text { Investment } & \text { Beta } \\\text { A } & \$ 200,000 & 1.50 \\\text { B } & 300,000 & - 0.50 \\\text { C } & 500,000 & 1.25 \\\text { D } & 1,000,000 & 0.75\end{array}


A) 10.67%
B) 11.23%
C) 11.82%
D) 12.45%
E) 13.10%

F) B) and C)
G) C) and D)

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Which of the following statements is CORRECT?


A) The characteristic line is the regression line that results from plotting the returns on a particular stock versus the returns on a stock from a different industry.
B) The slope of the characteristic line is the stock's standard deviation.
C) The distance of the plot points from the characteristic line is a measure of the stock's market risk.
D) The distance of the plot points from the characteristic line is a measure of the stock's diversifiable risk.
E) "Characteristic line" is another name for the Security Market Line.

F) C) and D)
G) A) and E)

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For markets to be in equilibrium (that is, for there to be no strong pressure for prices to depart from their current levels) ,


A) The past realized rate of return must be equal to the expected rate of return; that is,
r=r~\overline { \mathrm { r } } = \tilde{ \mathrm { r } } .
B) The required rate of return must equal the realized rate of return; that is, r =
r\overline { \mathrm { r } } .
C) All companies must pay dividends.
D) No companies can be in danger of declaring bankruptcy.
E) The expected rate of return must be equal to the required rate of return; that is,
r~\tilde { \mathrm { r } } = r.

F) A) and B)
G) C) and D)

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We will almost always find that the beta of a diversified portfolio is less stable over time than the beta of a single security.

A) True
B) False

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