Problem - Assume that the spreadsheet below shows the closing prices for the S&P 500 Index for the month of November 2012. Using a column with six decimal places:
a. Calculate the daily percentage changes in the S&P 500 Index. The lag daily change is for 11/1/2012, resulting in 21 daily changes.
b. Calculate the average daily change in the Index, shown to 6 decimal places.
c. State the average daily change in the S&P 500 Index for the month of November 2012 as a percentage.
d. State the implied monthly change in the S&P 500 Index for the month of November 2012 as a percentage. (Notice the word implied-this in fact is not the correct percentage change for the month, as we will learn when we discuss the difference between the arithmetic mean and the geometric mean).
Data
|
Closing Pr
|
11/30/2012
|
1,400.38
|
11/29/2012
|
1,398.26
|
11/28/2012
|
1,390.84
|
11/27/2012
|
1,385.35
|
11/23/2012
|
1,375.93
|
11/22/2012
|
1,394.35
|
11/21/2012
|
1,390.71
|
11/20/2012
|
1,411.4
|
11/19/2012
|
1,426.63
|
11/16/2012
|
1,425.35
|
11/15/2012
|
1,423.57
|
11/14/2012
|
1,408.66
|
11/13/2012
|
1,403.04
|
11/12/2012
|
1,403.58
|
11/9/2012
|
1,388.28
|
11/8/2012
|
1,397.68
|
11/7/2012
|
1,392.37
|
11/6/2012
|
1,418.26
|
11/5/2012
|
1,407.49
|
11/2/2012
|
1,411.9
|
11/1/2012
|
1,409.34
|
10/31/2012
|
1,385.59
|