Over the past six years, a stock had annual returns of 14 percent, -3 percent, 8 percent, 21 percent, -16 percent, and 4 percent, respectively. What is the standard deviation of these returns?      11.27 percent   13.05 percent   13.59 percent   15.08 percent   14.40 percent

STATE: Andrew plans to retire in 4040 years. He plans to invest part of his retirement funds in stocks, so he seeks out information on past returns. He learns that from 1966 to 2015, the annual returns on S&P 500500 had mean 11.0%11.0% and standard deviation 17.0%17.0% . PLAN: The distribution of annual returns on common stocks is roughly symmetric, so the mean return over even a moderate number of years is close to Normal. We can use the Central Limit Theorem to make an inference. SOLVE: What is the probability, ?1p1 , assuming that the past pattern of variation continues, that the mean annual return on common stocks over the next 4040 years will exceed 10%10% ? (Enter your answer rounded to two decimal places.) What is the probability, ?2p2 , that the mean return will be less than 5%5% ? (Enter your answer rounded to two decimal places.)

Table attached shows the historical returns for Companies A, B and C Estimate the average return and standard deviation of each company. Estimate the correlations between Company A and B, A and C, as well as B and C.

Observe the mean, the standard deviation, and the CV of the annual rate of return of the portfolio. Apple Historical Annual Stock Price Data             Year Average Stock Price Year Open Year High Year Low Year Close Annual % Change 2021 135.6974 129.4100 156.6900 116.3600 148.7600 12.11% 2020 95.3468 75.0875 136.6900 56.0925 132.6900 80.75% 2019 52.0640 39.4800 73.4125 35.5475 73.4125 86.16% 2018 47.2634 43.0650 58.0175 36.7075 39.4350 -6.79% 2017 37.6378 29.0375 44.1050 29.0050 42.3075 46.11% 2016 26.1510 26.3375 29.5625 22.5850 28.9550 10.03% 2015 30.0096 27.3325 33.2500 25.7800 26.3150 -4.64% 2014 23.0661 19.7546 29.7500 17.8494 27.5950 37.72% 2013 16.8798 19.6082 20.3604 13.9475 20.0364 5.42% 2012 20.5732 14.6868 25.0750 14.6868 19.0062 31.40% 2011 13.0002 11.7704 15.0800 11.2614…