Some funny replies here.
Your specification is rather unrealistic.
Are you a pilot - do you know anything about aircraft? No 200kt airplane can be an LSA.
No 200kt airplane can be 'economic' in absolute terms - it can be economic compared to other 200kt airplanes.
Some of the airplanes suggested can sustain 200kts but not at a reasonable power setting - you'll eat your engine running over 75% - assuming that you want to make your TBO.
At non-oxygen levels you're not going to be able to run above 200kts - so I see you're in Norway - where are you planning to go where those sorts of speeds are going to be needed.
That said - here's an option Jet Provost - buy a good one for under $100,000 - Jet A1 - 200kts easy - 2 seats - 6g plus - RG - economic (not so much per hour - depends where you are - how many hours you fly - but with a little imagination you could get the cost down, rental to other would be TopGuns and for display and you may find you can generate a surplus to make your couple of dozen hours cost nothing).
Silly point but how close are to to the airport where it would be based, how close to your destination airport is your final destination. If the answer to both is an hour or so each end and your home airport/destination airport is short (under 200 miles) - the percentage time saving overall is minor for a 200kt compared to a 140kt - throw in some international travel and the benefit of speed reduces further.
Question of whether you can fly it will depend on a lot of factors and where you're planning to fly.
Overall - if you're planning long trips - all of Easy Jet's fleet will meet all of your criteria and so, so, so much cheaper!