nitpick, but you almost certainly mean to add "asymptotically vertical"; asymptotic alone doesn't tell you anything a bout which direction the price curve is heading, only that it is approaching some limit.
Context makes it quite clear that it's going up. "Asymptotic" is a perfectly good description of an acceleration.
You can always add more words to take something that is perfectly clear and try to make it more clear. Add enough and you make it harder to understand.
you're reducing precision of the expression by adding extraneous data. The orientation of the asymptote is fully expressed by the context of price and the notion of high-end computing.