3. In the long run, anqual real returns on common stocks have been normally distributed with mean 10% and standard deviation of 26%. Andrew plans to retire in 45 years and is considering investing in stocks. Answer the following questions assuming that these patterns of variation are expected to continue in the future. A. What is the probability that annual returns on common stocks next year will show a loss (that is, returns will be less than 0%)? B. Andrew thinks the width of the sampling distribution can be used as a measure of risk. What is the standard deviation of the sampling distribution of returns on stocks over the next 45 years? C. What is the probability that the mean annual return on common stocks over the next 45 years will show a loss (that is, the return will be less than 0%)? D. Explain in a few sentences why the results above imply long-term investing is less risky than short-term investing.

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3. In the long run, anqual real returns on common stocks have been normally distributed with
mean 10% and standard deviation of 26%. Andrew plans to retire in 45 years and is considering
investing in stocks. Answer the following questions assuming that these patterns of variation are
expected to continue in the future.
A. What is the probability that annual returns on common stocks next year will show a loss (that
is, returns will be less than 0%)?
B. Andrew thinks the width of the sampling distribution can be used as a measure of risk. What
is the standard deviation of the sampling distribution of returns on stocks over the next 45 years?
C. What is the probability that the mean annual return on common stocks over the next 45 years
will show a loss (that is, the return will be less than 0%)?
D. Explain in a few sentences why the results above imply long-term investing is less risky than
short-term investing.
Transcribed Image Text:3. In the long run, anqual real returns on common stocks have been normally distributed with mean 10% and standard deviation of 26%. Andrew plans to retire in 45 years and is considering investing in stocks. Answer the following questions assuming that these patterns of variation are expected to continue in the future. A. What is the probability that annual returns on common stocks next year will show a loss (that is, returns will be less than 0%)? B. Andrew thinks the width of the sampling distribution can be used as a measure of risk. What is the standard deviation of the sampling distribution of returns on stocks over the next 45 years? C. What is the probability that the mean annual return on common stocks over the next 45 years will show a loss (that is, the return will be less than 0%)? D. Explain in a few sentences why the results above imply long-term investing is less risky than short-term investing.
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