Basic Business Statistics
Basic Business Statistics
14th Edition
ISBN: 9780134684840
Author: BERENSON, Mark L., Levine, David M., Szabat, Kathryn A.
Publisher: Pearson,
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Chapter 6, Problem 39PS

The major stock market indexes had strong results in 2016. The mean one-year return for stocks in the S&P 500, a group of 500 very large companies, was + 9.54 % . The mean one-year return for the NASDAQ, a group of 3,200 small and medium-sized companies, was +7 .50% . Historically, the one-year returns are approximately normally distributed, the standard deviation in the S&P 500 is approximately 20%, and the standard deviation in the NASDAQ is approximately 30%.

a. what is the probability that a stock in the S&P 500 gained value in 2016?

b. What is the probability that a stock in the S&P 500 gained 10 % more in 2016?

c. What is the probability that a stock in the S&P 500 lost 20 % or more in 2016?

d. What is the probability that a stock in the S&P 500 lost 30 % or more in 2016?

e. Repeat a through d for a stock in NASDAQ.

f. Write a short summary on your finding. Be sure to include a discussion of the risks associated with a large standard deviation.

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