20000€ is nothing for a violin. The new ones are cheap...speaking relatively...
If you buy an old violin with a name (it does not have to be a Stradivarius) then you can easily pay200000 and if you go for the big names then you'll soon reach areas where most of us will never dare to go. I read somewhere that a Stradivarius was recently sold for 3 or 4 million dollar...
I must admit that I'm hoping one of the cheaper models I'm taking into consideration will be the winner...while I could afford to spend 20000€ on a violin I would not like to do it...naturally...^^