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Linear Martingale
MartingaleLinear martingale: 1×, 2×, 3×, 4× — multiple TP orders per level.
At a glance
marti_grid_linearqty = base, total = base · i, orders = iWhat this curve is for
The canonical martingale grid: level i commits i lots AND carries i take-profit targets. It is the only family member where exposure and exit granularity grow together, which is what makes it useful — a partial books partial profit instead of waiting for one all-or-nothing exit.
How the sizing rule works
At level i the engine opens i orders of one base lot each, and each of those orders receives its own take-profit one target step away. So the ladder is not just heavier at depth, it is more granular: level 8 can close three of its eight units on a retrace and keep the rest working. Order count therefore grows quadratically with depth while size grows linearly.
| Level | Per-order size | Orders | Level total | Cumulative | Entry price | Take-profit |
|---|---|---|---|---|---|---|
| L1 | 1.00× | 1 | 1.00× | 1.00× | 99.00 | 99.99 |
| L2 | 1.00× | 2 | 2.00× | 3.00× | 98.00 | 98.98 |
| L3 | 1.00× | 3 | 3.00× | 6.00× | 97.00 | 97.97 |
| L4 | 1.00× | 4 | 4.00× | 10.0× | 96.00 | 96.96 |
| L5 | 1.00× | 5 | 5.00× | 15.0× | 95.00 | 95.95 |
| L6 | 1.00× | 6 | 6.00× | 21.0× | 94.00 | 94.94 |
| L7 | 1.00× | 7 | 7.00× | 28.0× | 93.00 | 93.93 |
| L8 | 1.00× | 8 | 8.00× | 36.0× | 92.00 | 92.92 |
| L9 | 1.00× | 9 | 9.00× | 45.0× | 91.00 | 91.91 |
| L10 | 1.00× | 10 | 10.0× | 55.0× | 90.00 | 90.90 |
Because level i opens i separate unit orders, each carrying its own take-profit, order count grows quadratically with depth while size grows linearly. At 10 levels this ladder rests 55 entry orders. Check the venue's open-order limit before configuring depth.
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 — Linear 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 | 10% | 99.00 | 99.99 | 1.00% | 1.00× | 1 | 100 | 100 | 300 | 1 |
| L2 | 20% | 98.00 | 98.98×2 | 2.00% | 2.00× | 2 | 200 | 200 | 500 | 3 |
| L3 | 30% | 97.00 | 97.97×3 | 3.00% | 3.00× | 3 | 300 | 300 | 800 | 6 |
| L4 | 40% | 96.00 | 96.96×4 | 4.00% | 4.00× | 4 | 400 | 400 | 1,200 | 10 |
| L5 | 50% | 95.00 | 95.95×5 | 5.00% | 5.00× | 5 | 500 | 500 | 1,700 | 15 |
| L6 | 60% | 94.00 | 94.94×6 | 6.00% | 6.00× | 6 | 600 | 600 | 2,300 | 21 |
| L7 | 70% | 93.00 | 93.93×7 | 7.00% | 7.00× | 7 | 700 | 700 | 3,000 | 28 |
| L8 | 80% | 92.00 | 92.92×8 | 8.00% | 8.00× | 8 | 800 | 800 | 3,800 | 36 |
| L9 | 90% | 91.00 | 91.91×9 | 9.00% | 9.00× | 9 | 900 | 900 | 4,700 | 45 |
| L10 | 100% | 90.00 | 90.90×10 | 10.00% | 10.0× | 10 | 1,000 | 1,000 | 5,700 | 55 |
What depth costs
Cost is the triangular number of the depth, so it accelerates quietly — the step from 10 to 20 levels is far larger than the step from 5 to 10. Because the is polynomial rather than exponential, it stays fundable at moderate depth, which is why it is the most commonly deployed martingale variant.
| Levels | Ladder cost | Deepest rung | Entry orders | Cost vs 5 levels | Coverage |
|---|---|---|---|---|---|
| 5 levels | 15.0× | 5.00× | 15 | 1.00× | 5% |
| 10 levels | 55.0× | 10.0× | 55 | 3.67× | 10% |
| 20 levels | 210× | 20.0× | 210 | 14.0× | 20% |
| 40 levels | 820× | 40.0× | 820 | 54.7× | 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 | 4 levels | 4.0% |
| 25× base | 6 levels | 6.0% |
| 50× base | 9 levels | 9.0% |
| 100× base | 13 levels | 13.0% |
| 250× base | 21 levels | 21.0% |
Averaging and recovery
With every rung , the volume-weighted average entry is 92.14 against a base of 100 and a deepest rung of 90.00 — so the average sits 79% of the way down the covered range. Getting back to flat from the bottom therefore needs a 2.38% , against 5.00% for a flat ladder of the same depth — 2.62% less work.
| Excursion | Levels filled | Deployed | Average entry | Mark | Unrealised | Bounce to flat |
|---|---|---|---|---|---|---|
| Shallow dip | L1–L3 | 14.0× | 97.43 | 97.00 | -0.06× | 0.44% |
| Half the ladder fills | L1–L5 | 55.0× | 95.91 | 95.00 | -0.52× | 0.96% |
| Full ladder | L1–L10 | 385× | 92.14 | 90.00 | -8.78× | 2.38% |
Size grows with depth, so most of the position — and nearly all of the risk — ends up in the deepest rungs that last. The average entry therefore falls faster than the price does, and a modest retrace recovers a disproportionate amount. The same property is the liability: a trend that keeps going forces the largest orders at the worst prices, and the capital requirement rises faster than the coverage it buys. Capital follows the triangular number, so ten levels cost 55× base and twenty cost 210×.
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 55.0× base to collect 1.8 bps of it when the first rung completes.
Which market pays this curve
Choppy mean-reversion where price grinds down and back repeatedly rather than trending. The multi-order structure monetises exactly that texture: many exits during the chop, without needing a full to the average entry.
Level i holds i orders of base size, so it also carries i take-profit targets. Exposure grows 1×, 2×, 3×… Recovery is fast and the extra targets book profit on each . Capital grows with the triangular number.
The shape of the risk
Two distinct risks, and operators usually only for the first. The is the obvious one. The second is order-slot exhaustion: a 20-level ladder rests 210 entry orders and up to as many exits, which collides with venue limits long before capital does.
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
Linear 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 |
|---|---|---|---|---|---|
| Linear Martingale (this mode) | 55.0× | 10.0× | 2.38% | 55 | 1.8 bps |
| Fixed | 10.0× | 1.00× | 5.00% | 10 | 10.0 bps |
| Capped Linear | 40.0× | 5.00× | 4.03% | 10 | 2.5 bps |
| Exponential Martingale | 2046× | 1024× | 1.10% | 10 | 0.1 bps |
Nothing is precomputed here. Press run and the backtester fetches one candle window and replays 4 ladders across it — identical settings, identical bars, grid_mode as the only difference.
When to use it
- Mean-reverting instruments with enough texture that partial exits actually .
- You want profit-taking to begin on a partial rather than only at full recovery.
- Depth is moderate (roughly 8–15 levels) and funded with real .
When to avoid it
- The venue's open-order limit is tight — level 20 alone rests 20 orders.
- Fees are charged per order rather than per ; the order count works against you directly.
- The trends persistently; the triangular ramp is a poor way to fund a trend.
Tuning
- Cap the depth before you cap anything else. Coverage bought with a triangular ramp is the most expensive coverage in the outside the exponential curves.
- If you want the recovery profile without the order count, use `dca_linear`: same , one order per level.
- If you want the but a hard ceiling on per-level size, use .
Running it in production
- Monitor open-order count against the venue limit, not just margin. This is the that hits it first.
- Watch the deepest level, not the P&L. Depth is the leading indicator; P&L is the lagging one.
- peak committed against the account, weekly. A growth that has never been deep has never been tested.
- Treat every level increase as a capital : adding levels to a growth is not a linear cost.
How it fails
- 1Order-slot exhaustionDeep levels want more orders than the venue will hold. Rejections arrive as gaps in the ladder, which quietly the configured into a different, shallower one. Check the pending-orders grid against the after every deep excursion.
- 2Triangular surpriseBecause the is not exponential, operators approve depth increases mentally as "a bit more". Twenty levels cost roughly four times ten levels, not twice. The capital in this article is the antidote.
- 3Trend absorptionIn a sustained trend the largest orders fill at the worst prices and no exits complete, so the position is both maximal and unrealised. This is the the exists for.
Claims worth correcting
“Multi-order means more profit.”
It means more granular profit. Total profit for a full cycle is the same target of deployed ; what changes is that partial retraces can realise part of it.
“Linear martingale is a moderate .”
It is moderate only next to exponential. Against it is roughly five times the capital at ten levels and twenty times at twenty levels.
Interaction with the rest of the configuration
- A tight target amplifies the multi-order advantage — retraces complete more of the exits.
- Trailing plus a triangular ramp is an expensive combination: each shift re-places a heavier ladder.
- 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
- 1Why does level 5 show 5 orders instead of one order of 5 lots?Because the engine places i unit-sized orders so each can carry its own take-profit. Five separate exits at five separate prices is the entire of the variant; a single 5-lot order would collapse them into one.
- 2How do I estimate the worst case?Take the ladder cost from the capital , multiply by your , divide by leverage, then assume price sits at the deepest rung. The backtest section below will show you a real instance of it.
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.Martingale family — What every curve in this family has in common
- 3.Capital Allocation — Sizing an account to a Linear 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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