There is a standard model to estimate bankroll to minimize going bankrupt for a given win rate and standard deviation (cash) or a given ROI and ITM distribution for SNG.
To give you some idea, assume your ROI is ROI% for a 9 man SNG with a 50 30 20 prize structure and a 10 + 1 entry fee. When in the money (ITM) you finish 1st, 2nd and 3rd with about the same frequency. Here is the bankroll you need to have only a 5% chance of going bankrupt in 100 tournaments.
ROI% | Bankroll |
2.5 | 292 |
5 | 272 |
7.5 | 253 |
10 | 235 |