Will the S&P 500 increase more or decrease less than the Dow Jones Industrial Average from open on 1 February 2023 to close on 28 February 2023?
Increase is calculated per cent as 2 (p1 - p0) / (p1 + p0).
S&P 500
2023-02-01 open: 4070.07
2023-02-28 close: 3970.15
Per cent change:
2 (3970.15 - 4070.07) / (3970.15 + 4070.07) = −0.024855041
DJIA
2023-02-01 open: 34039.60
2023-02-28 close: 32656.70
Per cent change:
2 (32656.70 - 34039.60) / (32656.70 + 34039.60) = −0.041468567
Sources:
https://www.wsj.com/market-data/quotes/index/SPX/historical-prices
https://www.wsj.com/market-data/quotes/index/DJIA/historical-prices
Close date updated to 2023-03-15 8:00 pm
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In January, S&P 500 change was
2 (4076.60 - 3853.29) / (4076.60 + 3853.29) = 5.6321084%
higher than Dow Jones's
2 (34086.04 - 33148.90) / (34086.04 + 33148.90) = 2.7876577%
Using the traditional method of calculation, the per cent changes were
(4076.60 - 3853.29) / 3853.29 = 5.7953074%
(34086.04 - 33148.90) / 33148.90 = 2.8270621%
leading to a greater difference than using my formula.