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Anti-Martingale
Anti-MartingaleLinear-inverse anti-martingale — shrink size with depth.
At a glance
anti_marti_gridsize(i) = base / (i+1)What this curve is for
The reference decay : size is 1/(i+1), so each rung deeper commits less. It inverts the martingale bet — instead of paying more to insist the market comes back, it pays less the further the market goes, on the theory that a move which has already persisted is more likely to continue than to reverse.
How the sizing rule works
Size at level i is 1/(i+1). Because the engine floors executed size at one lot, the drawn keeps decaying while the traded ladder flattens out at the minimum lot after the first few rungs. The total ladder cost is therefore bounded in practice and nearly bounded in theory.
| Level | Per-order size | Orders | Level total | Cumulative | Entry price | Take-profit |
|---|---|---|---|---|---|---|
| L1 | 0.50× | 1 | 0.50× | 0.50× | 99.00 | 99.99 |
| L2 | 0.33× | 1 | 0.33× | 0.83× | 98.00 | 98.98 |
| L3 | 0.25× | 1 | 0.25× | 1.08× | 97.00 | 97.97 |
| L4 | 0.20× | 1 | 0.20× | 1.28× | 96.00 | 96.96 |
| L5 | 0.17× | 1 | 0.17× | 1.45× | 95.00 | 95.95 |
| L6 | 0.14× | 1 | 0.14× | 1.59× | 94.00 | 94.94 |
| L7 | 0.13× | 1 | 0.13× | 1.72× | 93.00 | 93.93 |
| L8 | 0.11× | 1 | 0.11× | 1.83× | 92.00 | 92.92 |
| L9 | 0.10× | 1 | 0.10× | 1.93× | 91.00 | 91.91 |
| L10 | 0.09× | 1 | 0.09× | 2.02× | 90.00 | 90.90 |
The ladder, as the engine builds it
Below is the 's own ladder and the trading terminal's chart engine, both driven by buildLadderPlan for this . Change the level count, spread or target and the rung prices, sizes, and chart lines recompute exactly as they would in the .
Ladder shape — Anti-Martingale
LONG · base 100.00 (illustrative) · 10 levels stepping down · 1% apart
Targets are stacked above the opening buy because a long grid exits higher than it enters.
Entry ladder
Limit buys below the base · L1 nearest, L10 deepest · every amount in USDT
| Level | Size curve | Entry buyUSDT | Exit sellUSDT | From base% | Sizebase lots | Orders | NotionalUSDT | MarginUSDT | Cum. capitalUSDT | Profit at exitUSDT |
|---|---|---|---|---|---|---|---|---|---|---|
| L1 | 100% | 99.00 | 99.99 | 1.00% | 0.500× | 1 | 50 | 50 | 250 | 0.5 |
| L2 | 67% | 98.00 | 98.98 | 2.00% | 0.333× | 1 | 33.33 | 33.33 | 283 | 0.33 |
| L3 | 50% | 97.00 | 97.97 | 3.00% | 0.250× | 1 | 25 | 25 | 308 | 0.25 |
| L4 | 40% | 96.00 | 96.96 | 4.00% | 0.200× | 1 | 20 | 20 | 328 | 0.2 |
| L5 | 33% | 95.00 | 95.95 | 5.00% | 0.167× | 1 | 16.67 | 16.67 | 345 | 0.17 |
| L6 | 29% | 94.00 | 94.94 | 6.00% | 0.143× | 1 | 14.29 | 14.29 | 359 | 0.14 |
| L7 | 25% | 93.00 | 93.93 | 7.00% | 0.125× | 1 | 12.5 | 12.5 | 372 | 0.13 |
| L8 | 22% | 92.00 | 92.92 | 8.00% | 0.111× | 1 | 11.11 | 11.11 | 383 | 0.11 |
| L9 | 20% | 91.00 | 91.91 | 9.00% | 0.100× | 1 | 10 | 10 | 393 | 0.1 |
| L10 | 18% | 90.00 | 90.90 | 10.00% | 0.091× | 1 | 9.09 | 9.09 | 402 | 0.09 |
What depth costs
The series grows so slowly that adding levels is almost free. This is the family that lets you cover an enormous adverse range on a budget — coverage becomes a design choice rather than a funding negotiation.
| Levels | Ladder cost | Deepest rung | Entry orders | Cost vs 5 levels | Coverage |
|---|---|---|---|---|---|
| 5 levels | 1.45× | 0.17× | 5 | 1.00× | 5% |
| 10 levels | 2.02× | 0.09× | 10 | 1.39× | 10% |
| 20 levels | 2.65× | 0.05× | 20 | 1.82× | 20% |
| 40 levels | 3.30× | 0.02× | 40 | 2.28× | 40% |
Read the cost vs 5 levels column as the escalation test. A flat ladder doubles when the depth doubles; anything materially above that is a whose coverage has to be bought rather than simply configured.
| Capital budget | Levels affordable | Adverse move covered |
|---|---|---|
| 10× base | 200 levels | 200.0% |
| 25× base | 200 levels | 200.0% |
| 50× base | 200 levels | 200.0% |
| 100× base | 200 levels | 200.0% |
| 250× base | 200 levels | 200.0% |
Averaging and recovery
With every rung , the volume-weighted average entry is 96.05 against a base of 100 and a deepest rung of 90.00 — so the average sits 40% of the way down the covered range. Getting back to flat from the bottom therefore needs a 6.72% , against 5.00% for a flat ladder of the same depth — 1.72% more work.
| Excursion | Levels filled | Deployed | Average entry | Mark | Unrealised | Bounce to flat |
|---|---|---|---|---|---|---|
| Shallow dip | L1–L3 | 1.08× | 98.23 | 97.00 | -0.01× | 1.27% |
| Half the ladder fills | L1–L5 | 1.45× | 97.55 | 95.00 | -0.04× | 2.69% |
| Full ladder | L1–L10 | 2.02× | 96.05 | 90.00 | -0.13× | 6.72% |
Size shrinks with depth, so the deepest rungs barely move the average entry. Sitting through a sustained adverse move is cheap, and the total ladder cost is bounded no matter how many levels you add. The cost of that safety is recovery speed: there is little size down low to average with, so a deep unwinds slowly. The engine floors executed size at one lot, so past a certain depth the is flat in practice even though the formula keeps decaying.
Where the exposure sits
The last row is the metric that separates modes. Profit for a full cycle is the target of deployed capital in every , so it cannot discriminate. What differs is how much capital has to sit reserved to earn one shallow cycle: this mode 2.02× base to collect 24.8 bps of it when the first rung completes.
Which market pays this curve
Trending and markets. If the makes sustained one-way moves punctuated by shallow retraces, decay harvests the retraces while refusing to fund the trend.
Reduces size as price moves against you, so losses on deep levels are . Capital-protective and trend-friendly; recovery is slower because deep levels barely move the average. Floored at 1 lot.
The shape of the risk
Recovery risk, not capital risk. The deepest rungs are too to move the average entry, so if price does revert you climb out slowly, and the shallow rungs — at the worst prices relative to the eventual bottom — dominate the position.
Run it over real history
This is the product's grid backtester, not a summary of one. It fetches public candles for the you pick, rebuilds the ladder on the first candle of the , then applies the engine's own fill, take-profit, and stop-loss rules bar by bar. The caveat block inside the is part of the output — read it before trusting a number.
Instrument
BTCUSD
delta-india
Anti-Martingale · 10 levels @ 1% · target 1% · 100 USDT / level · 1× · long · no stop
What this does not model
- Exact intrabar ticks. Bullish/doji candles use open → low → high → close; bearish candles use open → high → low → close. Finer timeframes reduce sensitivity to this deterministic assumption.
- Queue position. Limit orders are assumed filled when touched, which flatters a maker grid in fast markets.
- Margin rejection and liquidation. Deep rungs fill here even if the account could not fund them — check the capital requirement.
- Slippage and funding. Only the fee you set above is charged; funding, borrow and slippage are absent.
Run the ladder over real history
The grid is rebuilt anchored on the first candle of the window, then the engine's own fill, exit, refill and stop-loss rules are applied bar by bar. You get the real fill sequence for this configuration on this instrument.
Measured against other modes
First the arithmetic, then the market. The below is computed from the size curves alone; the underneath replays every one of those ladders over the same real candle , with grid_mode as the only variable.
| Mode | Ladder cost | Deepest rung | Break-even bounce | Entry orders | Shallow cycle |
|---|---|---|---|---|---|
| Anti-Martingale (this mode) | 2.02× | 0.09× | 6.72% | 10 | 24.8 bps |
| Fixed | 10.0× | 1.00× | 5.00% | 10 | 10.0 bps |
| Square-Root Decay | 4.32× | 0.30× | 5.85% | 10 | 16.4 bps |
| Exponential Decay | 1.00× | 0.00× | 8.90% | 10 | 50.0 bps |
| Linear Martingale | 55.0× | 10.0× | 2.38% | 55 | 1.8 bps |
Nothing is precomputed here. Press run and the backtester fetches one candle window and replays 5 ladders across it — identical settings, identical bars, grid_mode as the only difference.
When to use it
- Trending markets where you expect the adverse move to continue rather than revert.
- Strict capital protection mandates.
- Very deep ladders where you want coverage measured in tens of percent.
When to avoid it
- Range-bound instruments where averaging down is the entire .
- You need the ladder to pull the average entry down meaningfully.
Tuning
- Spend the capital saved on depth and spread: decay curves are built to cover wide ranges.
- If the one-lot bites within three rungs, either raise the base lot or choose a shallower decay (square-root or ).
Running it in production
- Watch how quickly executed size hits the one-lot — beyond that extra levels add coverage but almost no averaging.
- Track realised cycles per day. Decay curves earn from frequency, so a falling cycle count is the signal that the market has left the .
- Check the gap between average entry and . Decay curves keep it wide by design, so recovery expectations must be set from it, not from hope.
How it fails
- 1Floor collapseExecuted size hits the one-lot minimum almost immediately, so the configured stops describing the ladder. the 's per-level sizes against the venue's minimum lot before deploying.
- 2Slow recoveryAfter a deep excursion the average entry sits close to the shallow rungs, so a partial retrace books little. This is the designed trade-off, but it surprises operators who expected "safer" to also mean "faster".
Claims worth correcting
“Anti-martingale is martingale run backwards, so it profits from trends.”
It does not profit from the trend; it merely refuses to fund it. The profit still comes from retraces completing take-profits.
Interaction with the rest of the configuration
- Pairs naturally with trailing: light deep rungs make following the trend cheap.
- Spread sets how fast the ladder consumes depth. Widening it buys coverage for the same level count at the cost of fewer .
- Target sets what each cycle books. Below -trip fees plus slippage, a grid is a fee generator regardless of the .
- The is the only bound on the tail. Without it, the 's worst case is whatever the market does, not what you planned.
Questions this mode raises
- 1Is this the same as harmonic?Yes — identical math. Both names exist so dashboards and mandates can group the by the family they think in.
Where these numbers come from
- Sizes and capital:
levelMultiplier/gridModeCurveinlib/grid/gridModes.ts, fromgrid_modes.hppand the Python engine's lot calculator. - Rung and exit prices, , init targets and the stop line:
buildLadderPlan— the same builder the and use. - Backtest , cycles and P&L:
runBacktest/runBacktestSweepover public broker candles, applying the engine's fill, exit, and stop rules. - Price charts: the trading terminal's chart engine, with the ladder drawn through its own price-line API.
Related
- 1.Grid Modes — Overview — The full taxonomy and how to choose
- 2.Anti-Martingale family — What every curve in this family has in common
- 3.Capital Allocation — Sizing an account to a Anti-Martingale ladder
- 4.Stop Loss — Bounding this curve's tail
- 5.Reading the Ladder Plan — Verifying the curve before deploying
- 6.Grid Structure — Levels, init batch and base size
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