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Staircase Martingale

Staircase Martingale

Martingale

Bump size every N levels.

At a glance

Engine value
marti_grid_step
Size at level i
size(i) = base · (1 + ⌊i/N⌋) (N = 2)
Family
Martingale — Size grows deeper into — faster recovery, more capital.
Risk band
risk
Capital profile
Piecewise-linear step growth.
Best for
Traders who want , predictable size jumps.
Orders per level
One entry order and one take-profit per level.
Ladder cost @ 10 levels
30.0× base lot
Versus a flat ladder
3.00× the capital
Deepest rung
5.00× base (5.00× the first rung)
Entry orders resting
10 at 10 levels
Break-even bounce
3.52% from the deepest fill (flat ladder: 5.00%)

What this curve is for

A : size holds flat for N levels, then steps up by one base unit. It is the for operators who think in structure rather than in formulas — you can align each step with a support shelf, a low, or a volatility , and the capital profile stays piecewise-linear and easy to cap mentally.

How the sizing rule works

Size at level i is 1 + ((i − 1)/N), with N defaulting to 2. Within a step the ladder is flat; at each boundary it gains one unit. N approaches ; N = 1 reproduces linear with a single order per level.

LevelPer-order sizeOrdersLevel totalCumulativeEntry priceTake-profit
L11.00×11.00×1.00×99.0099.99
L21.00×11.00×2.00×98.0098.98
L32.00×12.00×4.00×97.0097.97
L42.00×12.00×6.00×96.0096.96
L53.00×13.00×9.00×95.0095.95
L63.00×13.00×12.0×94.0094.94
L74.00×14.00×16.0×93.0093.93
L84.00×14.00×20.0×92.0092.92
L95.00×15.00×25.0×91.0091.91
L105.00×15.00×30.0×90.0090.90
Reference configuration: 10 levels, 1% apart, 1% target, base price 100, long. Sizes are in base-lot units.

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 .

base lot 100 USDT · long · no stop

Ladder shape — Staircase Martingale

LONG · base 100.00 (illustrative) · 10 levels stepping down · 1% apart

Base positionEntry rung (buy)Init target
Opening position & init targets200 USDT
T2
target 2 sell @ 102.00
+2 USDT
T1
target 1 sell @ 101.00
+1 USDT
L0
Market buy · 2 lots @ 100.00
200 USDT

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

Entry ladder: one row per rung, showing entry and exit price, size, order count, notional, margin, running capital and profit at exit.
LevelSize curveEntry buyUSDTExit sellUSDTFrom base%Sizebase lotsOrdersNotionalUSDTMarginUSDTCum. capitalUSDTProfit at exitUSDT
L120%99.0099.991.00%1.00×11001003001
L220%98.0098.982.00%1.00×11001004001
L340%97.0097.973.00%2.00×12002006002
L440%96.0096.964.00%2.00×12002008002
L560%95.0095.955.00%3.00×13003001,1003
L660%94.0094.946.00%3.00×13003001,4003
L780%93.0093.937.00%4.00×14004001,8004
L880%92.0092.928.00%4.00×14004002,2004
L9100%91.0091.919.00%5.00×15005002,7005
L10100%90.0090.9010.00%5.00×15005003,2005
Levels 1–10 of 10
1 / 1
Ladder cost 30.0×Capital 3,200 USDTAvg entry 93.59Cycle profit 33
Loading the chart engine…

What depth costs

Piecewise-linear and among the easiest to reason about: the cost of a ladder is the sum of a few flat blocks. That makes worst-case estimation a mental exercise rather than a one.

LevelsLadder costDeepest rungEntry ordersCost vs 5 levelsCoverage
5 levels9.00×3.00×51.00×5%
10 levels30.0×5.00×103.33×10%
20 levels110×10.0×2012.2×20%
40 levels420×20.0×4046.7×40%
Ladder cost is Σ of every rung in base-lot units, excluding the opening L0 batch. At a grid size of 100 USDT, the 10-level ladder commits 3,000 USDT of notional at 1× leverage.

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 budgetLevels affordableAdverse move covered
10× base5 levels5.0%
25× base9 levels9.0%
50× base13 levels13.0%
100× base19 levels19.0%
250× base30 levels30.0%
How far price can move against the grid before it runs out of rungs, per capital budget, at 1% spacing. This is the question a funding decision actually turns on.

Averaging and recovery

With every rung , the volume-weighted average entry is 93.17 against a base of 100 and a deepest rung of 90.00 — so the average sits 68% of the way down the covered range. Getting back to flat from the bottom therefore needs a 3.52% , against 5.00% for a flat ladder of the same depth — 1.48% less work.

ExcursionLevels filledDeployedAverage entryMarkUnrealisedBounce to flat
Shallow dipL1–L34.00×97.7597.00-0.03×0.77%
Half the ladder fillsL1–L59.00×96.4495.00-0.13×1.52%
Full ladderL1–L1030.0×93.1790.00-1.00×3.52%
Reference configuration: 10 levels, 1% apart, 1% target, base price 100, long. Sizes are in base-lot units. Deterministic arithmetic, not a simulation: no assumption is made about how price reached each depth.

Size holds flat for N levels then steps up one base unit, giving a . Capital is piecewise-linear and very easy to cap mentally.

Where the exposure sits

Held by the shallowest quarter
13.3% of total size
Held by the deepest quarter
46.7% of total size
Unrealised loss at full fill
1.00× base (3.3% of deployed capital)
Profit if every rung books its target
0.30× base
One shallow cycle, against reserved capital
3.3 bps

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 30.0× base to collect 3.3 bps of it when the first rung completes.

Which market pays this curve

Instruments with visible structural levels, and any situation where you want size changes to be and explainable rather than continuous.

Holds size flat for N levels, then steps up by one base unit. Creates a profile that averages down periodically without per-level growth — easy to reason about and cap.

The shape of the risk

Between and linear depending on N. There is no convexity, so the tail is proportional and the failure is coverage exhaustion with mild escalation.

ℹ
Note:N is tunable. N makes this effectively ; N = 1 makes it (single-order).

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

Staircase 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.

ModeLadder costDeepest rungBreak-even bounceEntry ordersShallow cycle
Staircase Martingale (this mode)30.0×5.00×3.52%103.3 bps
Fixed10.0×1.00×5.00%1010.0 bps
Capped Linear40.0×5.00×4.03%102.5 bps
Linear Martingale55.0×10.0×2.38%551.8 bps
Exponential Martingale2046×1024×1.10%100.1 bps
Reference configuration: 10 levels, 1% apart, 1% target, base price 100, long. Sizes are in base-lot units. Peers are chosen from this mode's own direction plus the flat baseline, so the comparison is meaningful rather than decorative.

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

  • You want , predictable size jumps rather than growth.
  • You are matching size changes to chart structure — a bump below each support shelf.
  • You want a a non-technical reviewer can verify by eye.

When to avoid it

  • You need averaging; the flat stretches mean the average entry moves in bursts.
  • You want multi-order partial exits — this is single-order.

Tuning

  • N is the dial. N (6–10) is effectively with an occasional bump; N = 1 is linear .
  • Choose N from the 's structure, then verify the resulting cost in the capital rather than assuming it.

This is parametric. The and the settings show only the dial(s) it actually uses, and changing one is a structural — the resting ladder is cancelled and re-placed at the new sizes.

Step every (N)
Hold size flat for N levels, then bump it by one base unit. Default 2, range 1–10.
★
Pro tip:After changing a tunable, re-read the capital above and re-run the . A dial that looks cosmetic on a can be a change to the worst case.

Running it in production

  • which step the deepest fill sits in; step boundaries are where exposure changes character.
  • 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

  1. 1
    Step misalignment
    If the steps do not line up with the structure you chose them for, the is just a coarse linear with extra explanation attached.
  2. 2
    Coverage exhaustion
    Same as the other mild curves: the range ends before the move does.

Claims worth correcting

“Stepping is a risk control.”

It controls how size changes, not how it becomes. A step ladder with many steps still ends up heavy at depth.

Interaction with the rest of the configuration

  • 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

  1. 1
    What N should I use?
    Start from the structure: the number of rungs between the levels you actually care about. If there is no structural reason, N = 2–3 keeps the close to a gentle linear ramp.

Where these numbers come from

  • Sizes and capital: levelMultiplier / gridModeCurve in lib/grid/gridModes.ts, from grid_modes.hpp and 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 / runBacktestSweep over 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.
!
Caution:A backtest is evidence about one , not a . Fees are charged at the rate you set; slippage, funding, , margin rejection and are not modelled. For a growth especially, a profitable window mostly tells you the window did not contain the trend that would have tested it.

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 Staircase 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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