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Ramped DCA
DCABuy progressively more the cheaper it gets.
At a glance
dca_linearsize(i) = base · i (single order)What this curve is for
Ramped accumulation: rises linearly with depth, so lower prices receive more capital — the -averaging instinct expressed as a grid. Crucially it is single-order, so it delivers 's capital profile without linear martingale's order count.
How the sizing rule works
Size at level i is i base lots, with one order and one take-profit per level. The is triangular, identical to , but the ladder rests a fraction of the orders.
| 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 | 2.00× | 1 | 2.00× | 3.00× | 98.00 | 98.98 |
| L3 | 3.00× | 1 | 3.00× | 6.00× | 97.00 | 97.97 |
| L4 | 4.00× | 1 | 4.00× | 10.0× | 96.00 | 96.96 |
| L5 | 5.00× | 1 | 5.00× | 15.0× | 95.00 | 95.95 |
| L6 | 6.00× | 1 | 6.00× | 21.0× | 94.00 | 94.94 |
| L7 | 7.00× | 1 | 7.00× | 28.0× | 93.00 | 93.93 |
| L8 | 8.00× | 1 | 8.00× | 36.0× | 92.00 | 92.92 |
| L9 | 9.00× | 1 | 9.00× | 45.0× | 91.00 | 91.91 |
| L10 | 10.0× | 1 | 10.0× | 55.0× | 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 — Ramped DCA
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 | 2.00% | 2.00× | 1 | 200 | 200 | 500 | 2 |
| L3 | 30% | 97.00 | 97.97 | 3.00% | 3.00× | 1 | 300 | 300 | 800 | 3 |
| L4 | 40% | 96.00 | 96.96 | 4.00% | 4.00× | 1 | 400 | 400 | 1,200 | 4 |
| L5 | 50% | 95.00 | 95.95 | 5.00% | 5.00× | 1 | 500 | 500 | 1,700 | 5 |
| L6 | 60% | 94.00 | 94.94 | 6.00% | 6.00× | 1 | 600 | 600 | 2,300 | 6 |
| L7 | 70% | 93.00 | 93.93 | 7.00% | 7.00× | 1 | 700 | 700 | 3,000 | 7 |
| L8 | 80% | 92.00 | 92.92 | 8.00% | 8.00× | 1 | 800 | 800 | 3,800 | 8 |
| L9 | 90% | 91.00 | 91.91 | 9.00% | 9.00× | 1 | 900 | 900 | 4,700 | 9 |
| L10 | 100% | 90.00 | 90.90 | 10.00% | 10.0× | 1 | 1,000 | 1,000 | 5,700 | 10 |
What depth costs
Triangular in depth — the same escalation as , so the same discipline applies: read the capital before choosing depth.
| Levels | Ladder cost | Deepest rung | Entry orders | Cost vs 5 levels | Coverage |
|---|---|---|---|---|---|
| 5 levels | 15.0× | 5.00× | 5 | 1.00× | 5% |
| 10 levels | 55.0× | 10.0× | 10 | 3.67× | 10% |
| 20 levels | 210× | 20.0× | 20 | 14.0× | 20% |
| 40 levels | 820× | 40.0× | 40 | 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 93.00 against a base of 100 and a deepest rung of 90.00 — so the average sits 70% of the way down the covered range. Getting back to flat from the bottom therefore needs a 3.33% , against 5.00% for a flat ladder of the same depth — 1.67% less work.
| Excursion | Levels filled | Deployed | Average entry | Mark | Unrealised | Bounce to flat |
|---|---|---|---|---|---|---|
| Shallow dip | L1–L3 | 6.00× | 97.67 | 97.00 | -0.04× | 0.69% |
| Half the ladder fills | L1–L5 | 15.0× | 96.33 | 95.00 | -0.21× | 1.40% |
| Full ladder | L1–L10 | 55.0× | 93.00 | 90.00 | -1.74× | 3.33% |
increases linearly with depth — buy progressively more the cheaper it gets — but with a SINGLE order per level rather than i orders.
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
Conviction accumulation into weakness on instruments you want to own more of the cheaper they get.
Increases linearly with depth, like but with a SINGLE order per level instead of i orders. "buy more as it drops" accumulation that lowers average cost faster than .
The shape of the risk
Convex commitment with an accumulation intent, which is a combination worth naming: the position is largest exactly when the thesis is least confirmed. A stop is the only structural answer.
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
Ramped DCA · 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 |
|---|---|---|---|---|---|
| Ramped DCA (this mode) | 55.0× | 10.0× | 3.33% | 10 | 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 |
| 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
- Conviction accumulation into weakness.
- where lower prices deserve more capital.
- You want linear growth with far fewer than .
When to avoid it
- You want the multiple partial exits provides.
- You have not funded the triangular ramp — the accumulation framing does not reduce the cost.
Tuning
- Depth is the expensive dial here, exactly as in . Coverage bought this way is not cheap.
- If the ramp is more than you want, gives the same instinct with a ceiling.
Running it in production
- Track average entry and peak together; ramped accumulation moves both faster than operators expect.
- 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
- 1Triangular funding gapThe accumulation narrative makes the feel like a rather than a cost. It is a cost: twenty levels are about four times ten.
- 2Maximum size at minimum confirmationThe largest happens at the deepest, least-confirmed prices. If the thesis was wrong, the ladder maximised the error.
Claims worth correcting
“It is the same as .”
Same and capital profile, different order structure: one order per level, so no multi-order partial exits and far less order-slot pressure.
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
- 1Why choose this over linear martingale?When you want the ramp but not 210 at twenty levels. The below shows the P&L difference is usually driven by exit granularity, not by .
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.DCA family — What every curve in this family has in common
- 3.Capital Allocation — Sizing an account to a Ramped DCA 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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