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Your friend is considering adding one additional stock to a 3-stock portfolio, to form a 4-stock portfolio.She is highly risk averse and has asked for your advice.The three stocks currently held all have b = 1.0, and they are perfectly positively correlated with the market.Potential new Stocks A and B both have expected returns of 15%, are in equilibrium, and are equally correlated with the market, with r = 0.75.However, Stock A's standard deviation of returns is 12% versus 8% for Stock B.Which stock should this investor add to his or her portfolio, or does the choice not matter?


A) Stock A.
B) Stock B.
C) Neither A nor B, as neither has a return sufficient to compensate for risk.
D) Add A, since its beta must be lower.
E) Either A or B, i.e., the investor should be indifferent between the two.

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

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If you randomly select stocks and add them to your portfolio, which of the following statements best describes what you should expect?


A) Adding more such stocks will increase the portfolio's expected rate of return.
B) Adding more such stocks will reduce the portfolio's beta coefficient and thus its systematic risk.
C) Adding more such stocks will have no effect on the portfolio's risk.
D) Adding more such stocks will reduce the portfolio's market risk but not its unsystematic risk.
E) Adding more such stocks will reduce the portfolio's unsystematic, or diversifiable, risk.

F) B) and D)
G) All of the above

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Which of the following statements is CORRECT?


A) Logically, it is easier to estimate the betas associated with capital budgeting projects than the betas associated with stocks, especially if the projects are closely associated with research and development activities.
B) The beta of an "average stock," which is also "the market beta," can change over time, sometimes drastically.
C) If a newly issued stock does not have a past history that can be used for calculating beta, then we should always estimate that its beta will turn out to be 1.0.This is especially true if the company finances with more debt than the average firm.
D) During a period when a company is undergoing a change such as increasing its use of leverage or taking on riskier projects, the calculated historical beta may be drastically different from the beta that will exist in the future.
E) If a company with a high beta merges with a low-beta company, the best estimate of the new merged company's beta is 1.0.

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

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Company A has a beta of 0.70, while Company B's beta is 1.20.The required return on the stock market is 11.00%, and the risk-free rate is 4.25%.What is the difference between A's and B's required rates of return? (Hint: First find the market risk premium, then find the required returns on the stocks.)


A) 2.75%
B) 2.89%
C) 3.05%
D) 3.21%
E) 3.38%

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

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Consider the following information for three stocks, A, B, and C.The stocks' returns are positively but not perfectly positively correlated with one another, i.e., the correlations are all between 0 and 1.  Expected  Standard  Stock  Return  Deviation  Beta  A 10%20%1.0 B 10%10%1.0 C 12%12%1.4\begin{array}{llll}& \text { Expected } & \text { Standard } & \\\text { Stock } & \text { Return } & \text { Deviation } & \text { Beta }\\\text { A } & 10 \% & 20 \% & 1.0 \\\text { B } & 10 \% & 10 \% & 1.0 \\\text { C } & 12 \% & 12 \% & 1.4\end{array} Portfolio AB has half of its funds invested in Stock A and half in Stock B.Portfolio ABC has one third of its funds invested in each of the three stocks.The risk-free rate is 5%, and the market is in equilibrium, so required returns equal expected returns.Which of the following statements is CORRECT?


A) Portfolio AB's coefficient of variation is greater than 2.0.
B) Portfolio AB's required return is greater than the required return on Stock A.
C) Portfolio ABC's expected return is 10.66667%.
D) Portfolio ABC has a standard deviation of 20%.
E) Portfolio AB has a standard deviation of 20%.

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

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Calculate the required rate of return for Everest Expeditions Inc., assuming that (1) investors expect a 4.0% rate of inflation in the future, (2) the real risk-free rate is 3.0%, (3) the market risk premium is 5.0%, (4) the firm has a beta of 1.00, and (5) its realized rate of return has averaged 15.0% over the last 5 years.


A) 10.29%
B) 10.83%
C) 11.40%
D) 12.00%
E) 12.60%

F) B) and D)
G) None of the above

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