Satellite Bankroll guidelines

[kindling]

I know that there are BR guidelines for MTTs in general, and many have commented on how you may not need the same bankroll for 180 vs 1000+ fields. But how do you adjust your bankroll requirement for satellites?

- Max payout is fixed
- fixed or fairly constant percentage of the field is paid the same prize
- can assume some avg # rebuys (for these formats)
- maybe factor in 2nd tier prizes (like $650 prizes in $33R WSOP sats), but probably a little tough
- assume average winning percentage as hopefully worst case
- assume that $ value of Seat, W$, or T$ are as good as whatever you bought in with (neglect 8-9% discount on W$ for example)

It seems like you can calculate appropriate BR for various scenarios, and determine what level buyin is appropriate. I'm thinking 100x buyin is not relevant to satellites, but I'm not sure what to replace it with. I expect it should vary based on my %ITM for various formats.

Does anyone have a link to the pure math behind Bankroll calculations that I could try to plug some scenarios into?