What kind of private jet though..
Cessna?
It depends on the size of the jet, of course. I can tell you that insurance on an Adam A500 aircraft (which can carry no more than 6 people) roughly costs $20,000 annually to insure. Insurance also depends on many other factors such as pilot experience and how many pilots are going to be flying it.
There are many styles of jet, but these are average for a business trip.
Hawker 400XP:
Small Range Jet (1444 nautical mile)
$1,447 per hour in use
$361,454 in annual costs including all fees of pilots, insurance, hanger costs, charts, computer maintenance, etc
Lear 60:
Medium Range Jet (2180 nautical mile)
$1,776 per hour in use
$396,716 in annual costs….
Falcon 900EX:
Large Range Jet (4125 nautical mile)
$2,483 per hour in use
$685,403 in annual costs
It depends on the length of travel. Some planes have more seating than these, but they are the more traditional that major airlines fly such as a Boeing 747 jumbo jet. All costs in USD.