Trading Calculators

Optimal leverage from win rate and take-profit / stop-loss

Moves are raw price changes without leverage. E.g. a stop from 100 to 98 is 2.

Optimal leverage (quarter Kelly)

4.06x

Enter at 4.06x capital; a stop-out loses 8.13% of capital.

LeverageLoss if stopped
Full Kelly16.25x-32.50% (3,250)
Half Kelly8.13x-16.25% (1,625)
Quarter Kelly4.06x-8.13% (813)
Quarter Kelly position40,625 USDT
Reward/risk2.00 : 1
Breakeven win rate33.33%

Full Kelly is a theoretical ceiling and overstates size when estimates are off. Use a quarter or less.

Capital left after a losing streak

Share of starting capital left. Odds use your win rate.

StreakOddsFull (16.25x)1/2 (8.13x)1/4 (4.06x)
1 in a row45.00%67.5%83.7%91.9%
2 in a row20.25%45.6%70.1%84.4%
3 in a row9.11%30.8%58.7%77.6%
5 in a row1.85%14.0%41.2%65.5%
7 in a row0.37%6.4%28.9%55.3%
10 in a row0.03%2.0%17.0%42.9%