Which one of the following statements is correct concerning the standard deviation of a
portfolio?
A. The greater the diversification of a portfolio, the greater the standard deviation of
that portfolio.
B. The standard deviation of a portfolio can often be lowered by changing the weights
of the securities in the portfolio.
C. Standard deviation is used to determine the amount of risk premium that should
apply to a portfolio.
D. The standard deviation of a portfolio is equal to the geometric average standard
deviation of the individual securities held within that portfolio.
E. The standard deviation of a portfolio is equal to a weighted average of the standard
deviations of the individual securities held within the portfolio.
Answer:
Suppose you identified three important systematic risk factors given by exports,
inflation, and industrial production. At the beginning of the year, a firm’s stock return is
estimated at 9.6 percent and the growth in the three factors is estimated at -1 percent,
2.5 percent, and 3.5 percent respectively. The factor betas are: βEX = 1.8, βI = .7, and
βIP = 1. What would be the stock’s total return if the actual growth in each of the factors
was equal to the expected growth and no unexpected company news occurred?
A. 4.6%
B. 5.9%
C. 9.6%
D. 14.6%
E. 8.7