Sorry, I couldn't find pricing data for that day. The closing price for the Dow Jones Industrial Average (DJI) on December 31, 1981 was $875. It was up 0.2% for the day. The latest price is $47,678.79.
DATE
OPEN
HIGH
LOW
CLOSE
December 31 1981
$873.09
$880.33
$868.91
$875.00
Daily pricing data for the Dow Jones Industrial Average dates back to 1/2/1950, and may be incomplete.