Exam 7: Introduction to Risk and Return

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Stocks with high standard deviations will necessarily also have high betas.

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If the average annual rate of return for common stocks is 11.7 percent, and 4.0 percent for U.S. Treasury bills, what is the average market risk premium?

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Explain why international stocks may have high standard deviations but low betas.

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Beta is traditionally measured relative to the S&P 500 index. As such, there may be a weaker statistical relationship between the S&P 500 and an international stock. If these two assets are mostly independent of one another, there is little chance they will have a statistically significant covariance. With a low covariance, by definition, the stock will have a low beta. This could occur even if the standard deviation of the beta is very high. This answer assumes that the market risk in domestic stocks is largely independent of the market risk in international stocks.

One can easily calculate the estimated risk premium on stocks via the statistical analysis of historical stock returns.

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What is the beta of a portfolio with a large number of randomly selected stocks?

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If the standard deviation of returns on the market is 20 percent, and the beta of a well-diversified portfolio is 1.5, calculate the standard deviation of this portfolio.

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Spill Drink Company's stocks had -8 percent, 11 percent, and 24 percent rates of return, respectively, during the last three years; calculate the (arithmetic)average rate of return for the stock.

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Which portfolio had the highest standard deviation during the period between 1900 and 2014?

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Briefly explain how the beta of a stock is estimated.

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The historical nominal returns for stock A were -8 percent, +10 percent, and +22 percent. The nominal returns for the market portfolio were +6 percent, +18 percent, and 24 percent during this same time. Calculate the beta for stock A.

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For a portfolio of N-stocks, the formula for portfolio variance contains

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Stock A has an expected return of 10 percent per year and stock B has an expected return of 20 percent. If 40 percent of a portfolio's funds are invested in stock A and the rest in stock B, what is the expected return on the portfolio of stock A and stock B?

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As the number of stocks in a portfolio is increased,

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If returns on two stocks tended to move in opposite directions, then the covariances and correlations on the two stocks would be negative.

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Which of the following is an estimate of the standard error of the mean?

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Regarding stock returns, briefly explain the term variance.

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The type of the risk that can be eliminated by diversification is called

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For a portfolio of N-stocks, the formula for portfolio variance contains

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A risk premium generated by comparing stocks to 10-year U.S. Treasury bonds will be smaller than a risk premium generated by comparing stocks to U.S. Treasury bills.

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A statistical measure of the degree to which securities' returns move together is called a

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