Interactive Quantitative Tool Updated 2026-10-17 Verified Against Venasri MT5 Engine

Fractional Kelly Criterion & Bandit Position Sizing Calculator for Traders

Direct Technical Answer

A fractional Kelly criterion trading calculator first solves full Kelly f-star = ((WinRate times PayoffRatio) minus (1 minus WinRate)) divided by PayoffRatio, then multiplies by 0.25 to 0.50 so a 55% win rate at 1.80R yields f-star = 30.0%, Half-Kelly = 15.0%, and Quarter-Kelly = 7.5%. Prop firm books still cap live risk at 0.25% to 0.

Fractional Kelly criterion trading calculator results look generous until you place them next to a 5% daily prop rule. Full Kelly at a measured 55% / 1.80R edge is 30% of equity per idea, which is a one-trade FTMO funeral. This widget exists to show the growth-optimal fraction, then to force a prop-safe haircut you can actually wire into MT5.

Preset Balance $100,000
Daily / Max Drawdown 5% / 10%
0.50% Safe Risk / Trade $500
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Fractional Kelly Criterion & Bandit Position Sizing Calculator for Traders: brass astrolabe, calipers, and golden abacus on a dark obsidian desk
Fractional Kelly Criterion & Bandit Position Sizing Calculator for Traders
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kelly criterion trading calculator Drawdown Floor & MT5 Lot Size Calculator

Adjust your account balance, floating profit at rollover, and stop-loss distance to see your exact server-midnight breach level and Venasri Equity Guard cut-off.

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Exact MT5 Lot Size (XAUUSD / EURUSD) & Streak Buffer 2.00 Lots (8.5 losses to guard) $500.00 risk per ticket · 3-second Equity Guard active

Worked f-star from a 55% win rate and 1.80R payoff

f-star = (W x R - (1 - W)) / R. Plug W = 0.55, R = 1.80: (0.55 x 1.80) - 0.45 = 0.99 - 0.45 = 0.54; 0.54 / 1.80 = 0.30. Half-Kelly = 0.15. Quarter-Kelly = 0.075. A $100,000 book at Quarter-Kelly would risk $7,500 per ticket. FTMO daily loss is $5,000. Quarter-Kelly is already larger than the daily rule, so the binding constraint is the prop floor, not Kelly.

Shift to a scalp book: W = 0.62, R = 1.50. f-star = (0.93 - 0.38) / 1.50 = 0.367. Quarter-Kelly = 9.2%, still illegal on a 5% daily. Only when W = 0.48 and R = 1.20 does f-star go negative: (0.576 - 0.52) / 1.20 = 0.047, and you should not trade that engine at all. Negative Kelly is a halt signal, not a tiny lot.

Estimation error, 40-trade samples, and why we haircut

Kelly assumes you know W and R. After 40 closed trades a 55% print has a Wilson interval roughly 40% to 69% at 90% confidence. If true W is 0.48 at R = 1.80, f-star collapses to (0.864 - 0.52) / 1.80 = 0.191, and Half-Kelly is 9.6%, still fatal versus 5% daily. That is why Venasri stores a rolling 80-trade W and R in Venasri Performance Analytics and feeds Quarter-Kelly only as an upper bound, then min against 0.50% (or 0.35% on Maven/Blue Guardian 1% single-trade caps).

Ed Thorp's practical writing on fractional Kelly, and later algo-trading risk notes through 2024 to 2026, treat 0.25x to 0.50x Kelly as the survivable band when edge is estimated, not known. Prop accounts add a second haircut: the 5% / 10% rule is a absorbing barrier, which vanilla Kelly never modeled.

Bandit scaling after wins, never a jump to Half-Kelly live

Venasri connects to MetaTrader 5 and protects the account with Equity Guard, Manual Trade Guard, and position-size limits. Internal signal rules, model design, and connection details are not published here.

Wire Kelly into lot size and the 5% daily lock

Take the min of (Quarter-Kelly, 0.50%, remaining daily budget / planned stop count). If daily remaining is $3,200 and you allow four attempts, per-trade risk is $800 (0.80%), which still exceeds our 0.50% house cap, so use $500. Feed $500 into the MT5 lot size calculator, then start free on Venasri so 24/7 MT5 Bot Control cannot override the cap from a mobile market order.

Recompute W and R monthly. If payoff falls from 1.80R to 1.15R because of early TP grabs, f-star at W = 0.55 becomes (0.6325 - 0.45) / 1.15 = 0.159, Quarter-Kelly 4.0%, and your 0.50% cap is finally below Kelly instead of far below. Fix the disposition effect before you raise size.

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Verified Answers

Frequently Asked Questions: Fractional Kelly Criterion & Bandit Position Sizing Calculator for Traders

What is full Kelly for 55% wins at 1.80 reward-to-risk?

f-star = (0.55 x 1.80 - 0.45) / 1.80 = 0.30, or 30% of equity per trade. Half-Kelly is 15% and Quarter-Kelly is 7.5%. All three exceed a 5% prop daily limit, so live size stays at 0.25% to 0.65%.

When is Kelly negative and what should I do?

When W x R is less than (1 - W). Example: 48% wins at 1.10R gives (0.528 - 0.52) / 1.10 = 0.007, near zero. At 45% and 1.10R, f-star is negative. Pause the strategy; do not "trade it small."

Why not use Half-Kelly on a $100,000 FTMO Challenge?

Half-Kelly at a 30% full-Kelly edge is 15% ($15,000) per trade. FTMO daily loss is $5,000. One stop-out plus slippage ends the challenge. Prop barriers dominate Kelly growth math.

How does Venasri combine Kelly with streak scaling?

Analytics estimates W and R. Risk Manager takes min(Quarter-Kelly, your 0.50% cap, remaining daily budget). A bandit may move inside 0.20% to 0.50%, never up to the raw Kelly fraction.

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