Martingale Calculator — Forex & Crypto Position Sizing (DCA)

The calculator maps out every level of a martingale or grid-style averaging-down strategy before you deploy any capital: average entry, total capital required and maximum drawdown at each level.

1. Initial Position Size ($) — The USD value of your first entry; every later level is a multiple of it, so start small.
2. Entry Price ($) — The price of the first entry: a coin price, an exchange rate or a share price.
3. Price Drop per Level (%) — How far price falls from the previous entry before the next level fills. Tighter spacing fills more levels in an ordinary pullback.
4. Size Multiplier — How much larger each level is than the one before. The classic martingale doubles (2×); 1.5× is a common, cheaper variation. Higher multipliers need a smaller bounce but exponentially more capital.
5. Max Levels — The number of entries, including the first. Never plan more levels than you can fully fund.
6. Stop Loss (%) and Take Profit (%) — Measured from the final average entry; the whole position exits at either price.
7. Account Balance ($) — The cash you can commit to the whole ladder. The calculator compares it with the cumulative capital each level requires and flags the first level you cannot fund, with a warning showing the shortfall. A martingale you cannot fund to the last level is not a recovery plan — it simply stops adding at the worst moment.

As you type, the result shows the full level-by-level breakdown: each level's entry price, position size, capital required (total invested so far), exposure (what the whole position is worth at that price), weighted average entry, unrealized P&L and — when you enter a balance — how much cash is left. The summary shows total capital required, stop loss and take profit prices, maximum drawdown in dollar terms, and the risk/reward ratio.

The level-by-level table is built from four formulas.

Entry Price per Level

Each level entry price compounds the previous level's price down by the drop percentage:

• Level 1: Entry Price = initial entry price (user input)
• Level N: Entry Price[N] = Entry Price[N−1] × (1 − priceDropPercent / 100)

With a 5% drop per level starting at $40,000: Level 1 = $40,000 → Level 2 = $38,000 → Level 3 = $36,100 → Level 4 = $34,295.

Position Size per Level

• Level 1: Position Size = initialPositionSize
• Level N: Position Size[N] = initialPositionSize × multiplier^(N−1)

With a $100 initial size and 2× multiplier: $100 → $200 → $400 → $800. Total for 4 levels: $1,500. This geometric growth is what makes martingale strategies capital-intensive.

Weighted Average Entry Price

The average entry price after N levels is the total USD invested divided by total units purchased:

• Total Units[N] = Σ (Position Size[i] / Entry Price[i]) for i = 1 to N
• Average Entry Price[N] = Total Invested[N] / Total Units[N]

The average entry price always falls between the first and last level entry prices, weighted by the size of each position. Larger positions at lower levels pull the average down faster, which is the mathematical advantage of the martingale: a smaller bounce is needed to reach break-even compared to a flat position.

Stop Loss and Take Profit

• Stop Loss Price = Final Average Entry × (1 − stopLossPercent / 100)
• Take Profit Price = Final Average Entry × (1 + takeProfitPercent / 100)
• Maximum Drawdown ($) = Total Capital Required × stopLossPercent / 100
• Risk/Reward Ratio = takeProfitPercent / stopLossPercent

Note that stop loss and take profit are applied to the final average entry, not the first level entry price. This is critical: a 15% stop on a final average entry of $35,570 (the 4-level $40,000 ladder from the formulas above) means the stop triggers at $30,234 — a 24.4% drop from the original $40,000 entry.

Example 1 — Conservative 3-Level ETH Strategy

A crypto trader wants to accumulate ETH during a dip using a controlled martingale. ETH is at $3,200. They use a 1.5× multiplier with 3 levels and 5% price drops.

• Level 1: $3,200 — $200 position — 0.0625 ETH
• Level 2: $3,040 (−5%) — $300 position — 0.0987 ETH
• Level 3: $2,888 (−10%) — $450 position — 0.1558 ETH
• Total invested: $950 | Average entry: ≈$2,997 | Total ETH: 0.317

With a 10% take profit from average entry (≈$3,297) and 20% stop loss (≈$2,397): Max profit ≈ +$95, Max drawdown ≈ −$190. Risk/reward = 0.5. The conservative multiplier keeps capital requirements manageable while still lowering the average entry meaningfully.

Example 2 — Aggressive 4-Level BTC Doubling Strategy

A trader enters BTC at $40,000 with $100 initial size, 2× multiplier, and 5% level spacing.

• Level 1: $40,000 — $100 — 0.00250 BTC
• Level 2: $38,000 — $200 — 0.00526 BTC
• Level 3: $36,100 — $400 — 0.01108 BTC
• Level 4: $34,295 — $800 — 0.02333 BTC
• Total invested: $1,500 | Average entry: ≈$35,570 | Total BTC: 0.04217

Stop loss 15% below average entry: ≈$30,234. Take profit 10% above: ≈$39,127. The price only needs to recover 14.1% from the deepest level ($34,295) to reach take profit — a target that is still below the original $40,000 entry. However, the total capital committed ($1,500) is 15× the initial $100 position. A 15% stop would cost $225.

Example 3 — Forex Grid on EUR/USD

A forex trader buys EUR/USD at 1.0850 expecting a bounce, adding to the position with a 2× multiplier every 50 pips lower (approximately 0.46% per level). They use 3 levels, a 1% stop loss and a 1.5% take profit from average entry.

• Level 1: 1.0850 — $500 position
• Level 2: 1.0800 (−0.46%) — $1,000 position
• Level 3: 1.0750 (−0.46%) — $2,000 position
• Total invested: $3,500 | Average entry: ≈1.0779

A 1% stop below average entry means a stop at ≈1.0671 (a $35 loss on $3,500). Take profit 1.5% above = ≈1.0940. This is a leveraged scenario — in forex the $3,500 controls a much larger notional position. Traders must account for overnight swap costs and margin requirements when running multi-level forex grids.