The table below shows the year open and year closing price of the S&P 500 Stock Index from 2005 to 2020: Year Year Open Year Close Annual Percent Change 2005 $ 1,202.08 $ 1,248.29 2006 $ 1,268.08 $ 1,418.30 2007 $ 1,416.60 $ 1,468.36 2008 $ 1,447.16 $ 903.25 2009 $ 931.80 $ 1,115.10 2010 $ 1,132.99 $ 1,257.64 2011 $ 1,271.87 $ 1,257.60 2012 $ 1,277.06 $ 1,426.19 2013 $ 1,462.42 $ 1,848.36 2014 $ 1,831.98 $ 2,058.90 2015 $ 2,058.20 $ 2,043.94 2016 $ 2,012.66 $ 2,238.83 2017 $ 2,257.83 $ 2,673.61 2018 $ 2,695.81 $ 2,506.85 2019 $ 2,510.03 $ 3,230.78 2020 $ 3,257.85 $ 3,756.07 Find the annual percent change for the S&P 500 from 2005 to 2020; (Put those values in the table above) Compute the mean, median, range, and standard deviation for Annual Percent Change; (Looking at these values, over the long run, is investing in the S&P 500 a profitable investment? Why or why not? Also, the standard deviation is a measure for risk of this investment. Does investing in the S&P 500 have some risk? Why or why not?)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

The table below shows the year open and year closing price of the S&P 500 Stock Index from 2005 to 2020:

Year	Year Open	Year Close	Annual Percent Change
2005	$ 1,202.08	$ 1,248.29
2006	$ 1,268.08	$ 1,418.30
2007	$ 1,416.60	$ 1,468.36
2008	$ 1,447.16	$ 903.25
2009	$ 931.80	$ 1,115.10
2010	$ 1,132.99	$ 1,257.64
2011	$ 1,271.87	$ 1,257.60
2012	$ 1,277.06	$ 1,426.19
2013	$ 1,462.42	$ 1,848.36
2014	$ 1,831.98	$ 2,058.90
2015	$ 2,058.20	$ 2,043.94
2016	$ 2,012.66	$ 2,238.83
2017	$ 2,257.83	$ 2,673.61
2018	$ 2,695.81	$ 2,506.85
2019	$ 2,510.03	$ 3,230.78
2020	$ 3,257.85	$ 3,756.07

Find the annual percent change for the S&P 500 from 2005 to 2020;

(Put those values in the table above)

Compute the mean, median, range, and standard deviation for Annual Percent Change;

(Looking at these values, over the long run, is investing in the S&P 500 a profitable investment? Why or why not? Also, the standard deviation is a measure for risk of this investment. Does investing in the S&P 500 have some risk? Why or why not?)

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

Expert Solution