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Geometric Ratio
GeometricExplicit geometric ratio — same math as geometric martingale.
At a glance
geometric_ratiosize(i) = base · rⁱ (r = 1.5)marti_grid_geometricmarti_grid_geometric. The engine computes identical sizes for both; the separate entry exists so and mandates can label the in their own vocabulary.What this curve is for
Ratio-based presented under the rather than the martingale one. Behaviourally identical to : size is base × rⁱ with r as the single aggression dial. The separate is a labelling , not a behavioural one.
How the sizing rule works
Each rung is r times the previous one. Ladder cost is the geometric series base × (rⁿ⁺¹ − 1)/(r − 1), so cost is highly sensitive to r and moderately sensitive to depth.
| Level | Per-order size | Orders | Level total | Cumulative | Entry price | Take-profit |
|---|---|---|---|---|---|---|
| L1 | 1.50× | 1 | 1.50× | 1.50× | 99.00 | 99.99 |
| L2 | 2.25× | 1 | 2.25× | 3.75× | 98.00 | 98.98 |
| L3 | 3.38× | 1 | 3.38× | 7.13× | 97.00 | 97.97 |
| L4 | 5.06× | 1 | 5.06× | 12.2× | 96.00 | 96.96 |
| L5 | 7.59× | 1 | 7.59× | 19.8× | 95.00 | 95.95 |
| L6 | 11.4× | 1 | 11.4× | 31.2× | 94.00 | 94.94 |
| L7 | 17.1× | 1 | 17.1× | 48.3× | 93.00 | 93.93 |
| L8 | 25.6× | 1 | 25.6× | 73.9× | 92.00 | 92.92 |
| L9 | 38.4× | 1 | 38.4× | 112× | 91.00 | 91.91 |
| L10 | 57.7× | 1 | 57.7× | 170× | 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 — Geometric Ratio
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 | 3% | 99.00 | 99.99 | 1.00% | 1.50× | 1 | 150 | 150 | 350 | 1.5 |
| L2 | 4% | 98.00 | 98.98 | 2.00% | 2.25× | 1 | 225 | 225 | 575 | 2.25 |
| L3 | 6% | 97.00 | 97.97 | 3.00% | 3.38× | 1 | 338 | 338 | 913 | 3.38 |
| L4 | 9% | 96.00 | 96.96 | 4.00% | 5.06× | 1 | 506 | 506 | 1,419 | 5.06 |
| L5 | 13% | 95.00 | 95.95 | 5.00% | 7.59× | 1 | 759 | 759 | 2,178 | 7.59 |
| L6 | 20% | 94.00 | 94.94 | 6.00% | 11.4× | 1 | 1,139 | 1,139 | 3,317 | 11.39 |
| L7 | 30% | 93.00 | 93.93 | 7.00% | 17.1× | 1 | 1,709 | 1,709 | 5,026 | 17.09 |
| L8 | 44% | 92.00 | 92.92 | 8.00% | 25.6× | 1 | 2,563 | 2,563 | 7,589 | 25.63 |
| L9 | 67% | 91.00 | 91.91 | 9.00% | 38.4× | 1 | 3,844 | 3,844 | 11,433 | 38.44 |
| L10 | 100% | 90.00 | 90.90 | 10.00% | 57.7× | 1 | 5,767 | 5,767 | 17,200 | 57.67 |
What depth costs
Geometric in depth. Re-read the capital after every change to r; nothing else in the configuration moves the worst case as much.
| Levels | Ladder cost | Deepest rung | Entry orders | Cost vs 5 levels | Coverage |
|---|---|---|---|---|---|
| 5 levels | 19.8× | 7.59× | 5 | 1.00× | 5% |
| 10 levels | 170× | 57.7× | 10 | 8.59× | 10% |
| 20 levels | 9973× | 3325× | 20 | 504× | 20% |
| 40 levels | 33171994× | 11057332× | 40 | 1676941× | 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 | 3 levels | 3.0% |
| 25× base | 5 levels | 5.0% |
| 50× base | 7 levels | 7.0% |
| 100× base | 8 levels | 8.0% |
| 250× base | 10 levels | 10.0% |
Averaging and recovery
With every rung , the volume-weighted average entry is 91.82 against a base of 100 and a deepest rung of 90.00 — so the average sits 82% of the way down the covered range. Getting back to flat from the bottom therefore needs a 2.03% , against 5.00% for a flat ladder of the same depth — 2.97% less work.
| Excursion | Levels filled | Deployed | Average entry | Mark | Unrealised | Bounce to flat |
|---|---|---|---|---|---|---|
| Shallow dip | L1–L3 | 7.13× | 97.74 | 97.00 | -0.05× | 0.76% |
| Half the ladder fills | L1–L5 | 19.8× | 96.24 | 95.00 | -0.25× | 1.31% |
| Full ladder | L1–L10 | 170× | 91.82 | 90.00 | -3.30× | 2.03% |
Identical to — a constant ratio between rungs, with r as the aggression dial.
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 170× base to collect 0.9 bps of it when the first rung completes.
Which market pays this curve
Mean-reverting instruments you have measured, where you want one parameter to express how hard the ladder leans into the move.
A category-explicit alias for ratio , provided so dashboards can group ratio strategies under "geometric". Behaves identically to .
The shape of the risk
The convex tail of any multiplicative , scaled by r. At r = 2 it is .
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
Geometric Ratio · 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 |
|---|---|---|---|---|---|
| Geometric Ratio (this mode) | 170× | 57.7× | 2.03% | 10 | 0.9 bps |
| Fixed | 10.0× | 1.00× | 5.00% | 10 | 10.0 bps |
| Capped Linear | 40.0× | 5.00× | 4.03% | 10 | 2.5 bps |
| Linear Martingale | 55.0× | 10.0× | 2.38% | 55 | 1.8 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 5 ladders across it — identical settings, identical bars, grid_mode as the only difference.
When to use it
- You want ratio-based ladder design grouped under the for reporting.
- Your desk's vocabulary is ratios rather than martingale variants.
When to avoid it
- Same cautions as any multiplicative growth — unfunded depth, unattended operation, r left near 2.
Tuning
- See : r behaves identically here.
- Prefer one of the two names consistently across a desk so monitors aggregate correctly.
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.
Running it in production
- 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
- 1Split reportingRunning some strategies as `geometric_ratio` and others as `marti_grid_geometric` fragments dashboards for no behavioural benefit.
- 2Tail at r ≥ 2Identical to , including the funding wall.
Claims worth correcting
“Geometric ratio is a distinct, tamer .”
It is an alias of `marti_grid_geometric`. The taming comes from choosing a low r, not from the name.
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
- 1Which should I use?Whichever your reporting groups by; then keep it consistent. The engine cannot tell them apart.
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.Geometric family — What every curve in this family has in common
- 3.Capital Allocation — Sizing an account to a Geometric Ratio 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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