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Additive Martingale

Additive Martingale

Martingale

Additive martingale — add a fixed increment each level.

At a glance

Engine value
marti_grid_simple
Size at level i
size(i) = base + i
Family
Martingale — Size grows deeper into — faster recovery, more capital.
Risk band
risk
Capital profile
≈ linear — total = n·base + n(n+1)/2.
Best for
Mild mean-reversion; risk-controlled averaging.
Orders per level
One entry order and one take-profit per level.
Ladder cost @ 10 levels
10.6× base lot
Versus a flat ladder
1.06× the capital
Deepest rung
1.10× base (1.09× the first rung)
Entry orders resting
10 at 10 levels
Break-even bounce
4.91% from the deepest fill (flat ladder: 5.00%)

What this curve is for

Additive martingale: each level adds a flat increment rather than a multiple. The result is a that is barely distinguishable from flat in relative terms — deliberately so. It exists for operators who want a nod toward averaging down without accepting any of the capital convexity that makes martingale dangerous.

How the sizing rule works

Size at level i is the base plus i units of a increment, evaluated against a nominal base of 100 so the stays honest at any . Because the increment is absolute rather than proportional, its relative weight shrinks as the base lot grows.

LevelPer-order sizeOrdersLevel totalCumulativeEntry priceTake-profit
L11.01×11.01×1.01×99.0099.99
L21.02×11.02×2.03×98.0098.98
L31.03×11.03×3.06×97.0097.97
L41.04×11.04×4.10×96.0096.96
L51.05×11.05×5.15×95.0095.95
L61.06×11.06×6.21×94.0094.94
L71.07×11.07×7.28×93.0093.93
L81.08×11.08×8.36×92.0092.92
L91.09×11.09×9.45×91.0091.91
L101.10×11.10×10.6×90.0090.90
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 — Additive 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
L192%99.0099.991.00%1.01×11011013011.01
L293%98.0098.982.00%1.02×11021024031.02
L394%97.0097.973.00%1.03×11031035061.03
L495%96.0096.964.00%1.04×11041046101.04
L595%95.0095.955.00%1.05×11051057151.05
L696%94.0094.946.00%1.06×11061068211.06
L797%93.0093.937.00%1.07×11071079281.07
L898%92.0092.928.00%1.08×11081081,0361.08
L999%91.0091.919.00%1.09×11091091,1451.09
L10100%90.0090.9010.00%1.10×11101101,2551.1
Levels 1–10 of 10
1 / 1
Ladder cost 10.6×Capital 1,255 USDTAvg entry 95.31Cycle profit 13.55
Loading the chart engine…

What depth costs

Almost linear. The ladder costs marginally more than flat at the same depth, and the deepest rung is only slightly larger than the first — which is exactly why deep ladders remain affordable.

LevelsLadder costDeepest rungEntry ordersCost vs 5 levelsCoverage
5 levels5.15×1.05×51.00×5%
10 levels10.6×1.10×102.05×10%
20 levels22.1×1.20×204.29×20%
40 levels48.2×1.40×409.36×40%
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 1,055 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× base9 levels9.0%
25× base22 levels22.0%
50× base41 levels41.0%
100× base72 levels72.0%
250× base144 levels144.0%
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 94.42 against a base of 100 and a deepest rung of 90.00 — so the average sits 56% of the way down the covered range. Getting back to flat from the bottom therefore needs a 4.91% , against 5.00% for a flat ladder of the same depth — 0.09% less work.

ExcursionLevels filledDeployedAverage entryMarkUnrealisedBounce to flat
Shallow dipL1–L33.06×97.9997.00-0.03×1.02%
Half the ladder fillsL1–L55.15×96.9895.00-0.10×2.08%
Full ladderL1–L1010.6×94.4290.00-0.48×4.91%
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.

Growth is additive, so in relative terms the is nearly flat. Capital is close to linear in depth and the average entry sits only marginally below where would put it.

Where the exposure sits

Held by the shallowest quarter
29.0% of total size
Held by the deepest quarter
31.0% of total size
Unrealised loss at full fill
0.48× base (4.6% of deployed capital)
Profit if every rung books its target
0.11× base
One shallow cycle, against reserved capital
9.6 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 10.6× base to collect 9.6 bps of it when the first rung completes.

Which market pays this curve

Any regime where you would otherwise run but want the average entry to down slightly faster. It is a risk-controlled averaging , not a recovery engine.

Grows by a flat amount per level (base+1, base+2, …). Much gentler than multiplicative martingales; capital requirement stays modest while still averaging down a little faster than .

The shape of the risk

Essentially the risk profile of : coverage exhaustion rather than capital escalation. The specific hazard is expectation — operators sometimes choose it believing they have martingale recovery, and then find the averaging effect is negligible.

ℹ
Note:The increment is absolute, not proportional, so its relative effect shrinks as the base lot grows. On a base this is effectively .

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

Additive 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
Additive Martingale (this mode)10.6×1.10×4.91%109.6 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 - predictability with a slight bias toward averaging down.
  • Deep ladders where any real growth would be unaffordable.
  • Conservative mandates that still want to show some adverse-move response.

When to avoid it

  • You expect the extra size to meaningfully speed recovery — it in the comparison run below before assuming it will.
  • Your base lot is , which makes the increment proportionally irrelevant.

Tuning

  • If the averaging effect looks too to matter, the honest are (real but gentle growth) or (real growth with a ceiling) — not a bigger increment on a designed to be flat.
  • Treat depth and spread as the primary dials, exactly as with .

Running it in production

  • the average entry against a run on the same . If the two are within a rounding error, the is doing nothing for you.
  • 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

  1. 1
    Illusory averaging
    On a base lot the additive increment is a fraction of a percent per level, so the behaves as while the operator plans as if it were martingale. Verify with the measured comparison rather than the label.
  2. 2
    Coverage exhaustion
    Same as : the ladder runs out of rungs and simply holds. Coverage, not , is the lever.

Claims worth correcting

“Additive is a cheap martingale.”

It is a cheap , but the recovery benefit scales with the increment's share of the base lot — often close to zero in practice.

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
    When would I pick this over fixed?
    When you want the audit to show an adverse-move response and you are content for that response to be . If you need measurable recovery, pick square-root or .

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 Additive 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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