44) The average annual return over the period 1886–2006 for stocks that comprise the S&P 500 is 10.5%, and the
standard deviation of returns is 18.5%. Based on these numbers what is a 95% confidence interval for 2007
returns?
A) –18.5%, 18.5%
B) –10%, 10%
C) –26.5%, 47.5%
D) –37%, 37%
45) Which of the following statements is FALSE?
A) The geometric average return is a better description of the long–run historical performance of an
investment.
B) The geometric average return will always be above the arithmetic average return, and the difference
grows with the volatility of the annual returns.
C) The compounded geometric average return is most often used for comparative purposes.
D) We should use the arithmetic average return when we are trying to estimate an investment’s expected
return over a future horizon based on its past performance.
46) If a stock pays dividends at the end of each quarter, with realized returns of R1, R2, R3, and R4 each quarter,
then the annual realized return is calculated as:
A) Rannual = (1 + R1)(1 + R2)(1 + R3)(1 + R4) – 1
B)
Rannual = R1 + R2 + R3 + R4
C) Rannual = (1 + R1)(1 + R2)(1 + R3)(1 + R4)
D)