Exam 7: Introduction to Risk and Return

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What has been the average annual rate of return in real terms for a portfolio of U.S.common stocks between 1900 and 2014?

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One dollar invested in a portfolio of long-term U.S.government bonds in 1900 would have grown in nominal value by the end of year 2014 to

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

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By purchasing U.S.government bonds, an investor can achieve both a risk-free nominal rate of return and a risk-free real rate of return.

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The beta of the market portfolio is

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

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Briefly explain how individual securities affect portfolio risk.

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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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If the standard deviation of annual returns is 19.8 percent and the number of years of observation is 107, what is the standard error?

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The portfolio risk that cannot be eliminated by diversification is called unique risk.

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Diversification reduces the risk of a portfolio because the prices of different securities do not move exactly together.

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What has been the approximate standard deviation of returns of U.S.common stocks during the period between 1900 and 2014?

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A portfolio with a beta of one offers an expected return equal to the market risk premium.

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Regarding stock returns, briefly explain the term variance.

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One dollar invested in a portfolio of U.S.common stocks in 1900 would have grown in nominal value by the end of year 2014 to

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The covariance between YOHO stock and the S&P 500 is 0.05.The standard deviation of the stock market is 20 percent.What is the beta of YOHO?

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Sun Corporation has had returns of -6 percent, 16 percent, 18 percent, and 28 percent for the past four years.Calculate the standard deviation of the returns using the correction for the loss of a degree of freedom shown below.When variance is estimated from a sample of observed returns, we add the squared deviations and divide by N -1, where N is the number of observations.We divide by N -1 rather than N to correct for a loss of a degree of freedom.The formula is. Variance(r~m)=1N1t=1N(r~mtrm)2\operatorname { Variance } \left( \tilde { r } _ { m } \right) = \frac { 1 } { N - 1 } \sum _ { t = 1 } ^ { N } \left( \tilde { r } _ { m t } - r _ { m } \right) ^ { 2 } Where is the market return in period t and rm is the mean of the values of rmt.

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For log normally distributed returns, the annual geometric average return is greater than the arithmetic average return.

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Diversification can reduce portfolio risk even in the case when correlations across stock returns equal zero.

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Which of the following countries has had the lowest risk premium?

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