I think it would be a neat toy for a 14 year old. The payment shouldn't be much since the kid has no overhead, lives at home, and no cost of living.
If it were me I would try to get a nice used machine for 25k or so.
And I think an education is important, but a work ethic is more important. How many college kids have useless degrees these days and still live at home with their parents?
I know if I went to college my net worth would be 25% if that of what is today. I have busted my rear since I was his age and I don't have regrets.