Bankroll requirements

[Mark1808]

I play mostly SNG's and was wonering how I would go about calculating bankroll requirements given my record of play over the last x sessions. Also, what about figuring bankroll requirements for cash games? So if I have a certain win rate over x sessions with y SD how much would I need to be 95% sure I would not go broke. The SNG calculation would seem to be a little differant because its not the number of hands played, but the number of tournaments played, resulting in a smaller sample size.

[randomfish]

For cash games, here's the popular Chen-Weideman formula:

For a win rate of w, Bankroll of B and std deviation of s, your chance of busting is

ROR = exp(-2Bw/s^2).

rgp link (http://groups-beta.google.com/group/rec.gambling.poker/messages/9467b0077699cd61,84f5b7acee7c4d6d,c979298b89fa3b64 ,cd4c5dc0d4107df4,89e17085f1be289b,3af2629b1a83069 f,ea555e1a4ee97305,b596456d62691568,ed5563a7bb74bc 42,a78f653a4f45965d?thread_id=13a9875f59d43079&mod e=thread&noheader=1&q=Bankroll+Requirements+-+Recreational+Mathematics#doc_c979298b89fa3b64) (couldn't find the 2+2 posts)

Rearranging for B instead you get:

B = -s^2*ln(ROR)/2w

So just enter your w, s and maximum acceptable ROR. Hope I didn't screw that up.

[That guy]

Mason Malmuth from 'Poker Essays 2'

Pg. 39
Relative to Player Quality
Stakes OK Player Good Player Great Player
3 6 $1,500 250x $1,100 183x $1,000 167x
5 10 $4,000 400x $2,200 220x $1,800 180x
10 20 $8,000 400x $4,900 245x $3,900 195x
20 40 $39,600 990x $20,000 500x $11,200 280x
30 60 $59,400 990x $37,600 627x $19,900 332x
50 100 $165,000 1650x $74,900 749x $38,700 387x

Note:
The larger the limits, the more aggressive -- therefore the more bankroll needed
Also, I extrapolated 5/10 b/c it wasn't included in the table


EDIT: oops, you didn't ask about limit... oh well, I won't delete it.