I'm sure you could pay professionals to work in shifts to monitor stock prices 24/7.
> because the end-of-day price is significant a lot of things.
Isn't that circular reasoning? "The stock market needs to close during the day because the end-of-day price is significant to a lot of things because the stock market needs to close during the day". Take the spot price at 00:00:00 AM as your end-of-day price and call it a day.