Anti-Martingale Calculator — Pyramid Trading Strategy

Enter your base position size — the dollar amount you trade at the start of each sequence or after any loss. Set your win rate (the percentage of trades you expect to win) and your average win and loss percentages from historical data or your trading plan. Choose a win streak multiplier (how much you scale up after each consecutive win) and the maximum streak level before you reset to the base position regardless of outcomes.

The calculator builds a position ladder showing your size, potential profit, and potential loss at each consecutive win level. It also runs a deterministic simulation over your chosen number of trades to show expected P&L, profit factor, and a break-even win rate analysis.

Use the simulation to test whether your win rate and reward-to-risk ratio genuinely support the anti-martingale approach. Unlike the standard martingale, losses stay small because you reset to your base position — only your winning streaks carry larger size.

The anti-martingale strategy increases position size after each win and resets to the base after any loss. This is the opposite of the classic martingale, which doubles after losses.

Position Size at Each Streak Level

• Level 1 (Base): P₁ = InitialSize
• Level n: P_n = P₁× Multiplierⁿ⁻¹

With a 2× multiplier and $100 base: Level 1 = $100, Level 2 = $200, Level 3 = $400, Level 4 = $800. A loss at any level resets immediately to $100.

Break-Even Win Rate

• Break-Even Win Rate= AvgLoss% ÷ (AvgWin% + AvgLoss%) × 100

For a strategy with 5% average wins and 3% average losses, the break-even win rate is 3 ÷ (5 + 3) × 100 = 37.5%. Any win rate above this produces a positive expected value per trade at the base level.

Expected Value per Trade (Base Level)

• EV= (WinRate × AvgWin$) − ((1 − WinRate) × AvgLoss$)

Why Anti-Martingale Works (When It Works)

The key insight is asymmetry of outcomes: during a winning streak you carry larger size and compound gains; when the streak ends (a loss), you return to base size, limiting the damage. This aligns position sizing with momentum — you're larger when the market favors you and smaller when it turns. The strategy requires a genuine positive edge (win rate above break-even) to show long-run profit; it does not create edge where none exists.

Example 1 — Conservative 2× Multiplier, 4 Levels

A swing trader with a 55% win rate, average win of 5%, and average loss of 3% uses a $100 base position with a 2× multiplier and 4 levels.

• Break-even win rate = 3 ÷ (5 + 3) × 100 = 37.5% ✓ (55% > 37.5%)
• Base EV per trade = 55% × $5 − 45% × $3 = $2.75 − $1.35 = +$1.40
• At level 4: position = $800, potential win = $40, potential loss = $24 (then reset)
• Maximum drawdown on a single loss at peak = $24

The trader profits consistently because the edge is real. The anti-martingale amplifies that edge during streaks without risking catastrophic loss.

Example 2 — Aggressive 3× Multiplier

Same win rate (55%) and R:R, but a $50 base and 3× multiplier over 3 levels.

• Level 1: $50 → win $2.50, lose $1.50
• Level 2: $150 → win $7.50, lose $4.50
• Level 3: $450 → win $22.50, lose $13.50 (then reset to $50)

A three-win streak followed by a loss nets: $2.50 + $7.50 + $22.50 − $13.50 = +$19.00. A loss on the very first trade costs only $1.50. The asymmetry is clear.

Example 3 — No Edge (Break-Even Trade)

Win rate = 37%, avg win = 5%, avg loss = 3% (below break-even of 37.5%).

• EV = 37% × $5 − 63% × $3 = $1.85 − $1.89 = −$0.04

Even the anti-martingale cannot save a strategy with negative EV. The system amplifies losses equally during any brief winning run. Always verify your edge before applying any position scaling system.