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.
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.
So I prefer it written the way it is.
Precise language matters, one should not rely on the crutch of context if one wants to be clear.