Replenishing Bankroll

I'm curious about a bankroll that you continuously add to each paycheck or each month.

So let's say you add X dollars every Y days.

In your calculations for RoR, Kelly betting, etc. etc. do you consider your bankroll whatever it happens to be on the day that you go, or what it would be at the end of a year, or infinite (as you're constantly replenishing it)?

Thanks in advance!