What is the Pyramiding Calculator?
Pyramiding is the art of scaling into a winning trade — adding shares as price runs in your favour rather than committing everything at once. This calculator takes your base tranche, the number and spacing of your add-ons, and a single stop, and returns the blended average entry, the capital deployed, the total open risk, and the constant-risk stop that holds that risk steady as the position grows. It makes the hidden cost of pyramiding visible: under a fixed stop, every add-on multiplies your original risk.
How it works
priceᵢ = entry × (1 + i·step%) · sizeᵢ = initial × 0.5ⁱ (decreasing) · blendedAvg = Σ(sizeᵢ·priceᵢ)/Σsizeᵢ · totalRisk = totalShares × (blendedAvg − stop) · riskMultiple = totalRisk / initialRisk
Each tranche is a lot in a quantity-weighted average — the same computation as blended cost averaging. The upright (decreasing) scheme halves each successive add, keeping the biggest position at the cheapest price so the blended average stays well below the market. Total risk under one fixed stop is simply every share's distance to that stop, which grows as you add size.
The key insight
Worked example
A 100-share base at $100 with two decreasing add-ons every +10% and a $90 stop — every figure is produced by the same engine that powers the calculator above:
| Step | Value |
|---|---|
| Base tranche | 100 @ $100 |
| Add-ons (decreasing) | 2 @ +10% steps |
| Total shares | 175 |
| Blended average entry | $105.7143 |
| Total capital | $18,500 |
| Total risk (fixed $90 stop) | $2,750 |
| Risk multiple | 2.75× |
| Constant-risk stop | $100 |
Decreasing vs equal size
On the same price ladder, the sizing scheme is the single biggest driver of total risk. The equal scheme buys more shares and drags the blended average higher:
| Scheme | Total shares | Blended avg | Risk multiple |
|---|---|---|---|
| Decreasing (upright) | 175 | $105.7143 | 2.75× |
| Equal size | 300 | $110 | 6× |
Interpreting your results
The blended average entry is your true cost basis across all tranches; total risk is what the whole stack loses if the fixed stop fills (a negative figure is a locked-in gain, not a loss). The constant-risk stop is where to trail your stop to hold risk at your original R. Each tranche is a lot in a weighted average — the Average Price Calculator runs the same blended-cost math for arbitrary lots. To size the base tranche from account risk instead of entering it directly, use the Position Size Calculator.
Professional tips
- Prefer the decreasing (upright) scheme — it keeps the blended average below the market and risk low.
- Trail your stop to the constant-risk stop after every add so the risk multiple stays near 1.0.
- Cap total tranches at 3–4; beyond that the average converges toward the price and gains evaporate fast.
- Only add to winners — pyramiding compounds a winning trade; averaging down concentrates a losing one.
Common mistakes
- Adding under a fixed stop without trailing it — the risk multiple silently climbs past 2× or 6×.
- Using an equal-size scheme without aggressive stop trailing, dragging the average up.
- Treating a negative total risk as an error — it is a locked-in gain.
- Adding a fifth or sixth tranche, where a small pullback wipes a large unrealised gain.
Assumptions and limitations
- Long-trade convention (add-ons above entry); a short mirrors it with |entry − stop|.
- A single fixed stop on the whole position is the worst case until you trail it up.
- Commissions, slippage, spread and overnight gaps are ignored; stops are assumed to fill exactly.
- When the stop equals the entry, the initial risk is zero and the risk multiple is undefined — set the stop below entry for a long.
Frequently asked questions
What is pyramiding in trading?+
Pyramiding means adding to an existing profitable position as price moves in your favour. Instead of buying your full intended position at once, you start with a base tranche and add smaller tranches each time the stock rises a set percentage. Done with an upright (decreasing-size) structure, the blended average entry stays well below the current price, leaving a cushion between your cost basis and the market — you only add to winning trades, never to losing ones.
How do I calculate my blended average entry price when pyramiding?+
Blended average entry is the quantity-weighted mean of all your entry prices: sum each tranche’s (shares × price), then divide by total shares. For example, 100 shares at $100 and 50 shares at $110 gives (10,000 + 5,500) / 150 = $103.33. This is the same as the average-price formula — each tranche is simply a lot in the weighted average.
Why does my total risk grow when I add tranches under the same stop?+
Each new tranche is entered at a higher price but keeps the same fixed stop below. The combined position now has more shares, each at risk of falling back to that same stop. Total risk = total shares × (blended average − stop). Even with a decreasing (halving) scheme, adding two tranches on a 10% step with a 10% stop raises total risk from 1× to 2.75× your initial R. With equal-size tranches the same stack reaches 6× R. This is the central danger of pyramiding with a fixed stop.
What is the constant-risk stop, and how do I use it?+
The constant-risk stop is the stop level that holds your total open risk exactly at your original initialRisk (R) as the position grows. Formula: constantRiskStop = blendedAvgEntry − initialRisk / totalShares. As you add tranches, trail your stop up to this level after each add. For a 3-tranche decreasing stack (100/50/25) with initialRisk $1,000, you trail the stop to blendedAvgEntry − 1,000/175 = $100.00 — at which point the whole 175-share position risks exactly $1,000, the same as the first tranche alone.
What is the difference between a decreasing and an equal pyramiding scheme?+
A decreasing scheme (the upright pyramid) halves each add-on tranche: 100, 50, 25, 12 shares. The largest position is at the cheapest price, the blended average stays well below the current price, and the risk multiplier stays low (~2.75× for a 3-tranche stack). An equal scheme adds the same size at every price level: 100, 100, 100. This pushes the blended average up and, under a fixed stop, can multiply total risk to 6× or more. The equal scheme requires aggressive stop trailing; it’s common in systematic (Turtle-style) approaches where the stop is always raised with each add.
What is the Turtle Trading pyramiding rule?+
The Turtle system, documented by Curtis Faith in Way of the Turtle, adds one equal ‘unit’ every 0.5N (half an ATR, the average true range) the market moves in favour of the trade, up to a maximum of 4 units per market. After each add, all prior units have their stops raised to 2N below the most recent entry, so the entire stack’s stop is trailed up systematically. This equal-size approach is safe only because the stop always rises — fixed-stop equal pyramiding is far riskier.
When is my stop price above my blended average entry?+
If you have trailed your stop above your blended average entry — common after the position has moved strongly in your favour — totalRisk becomes negative. A negative totalRisk means the stop now guarantees a profit on the whole position rather than a loss. This is called a ‘free trade’ or ‘locked-in gain’. The calculator shows the sign correctly: a negative figure is a good outcome, not an error.
How does pyramiding differ from averaging down?+
Averaging down means adding to a position as price moves AGAINST you, buying more at lower prices to reduce your average entry. Pyramiding does the opposite — it adds as price moves IN your favour, always at higher prices for a long. Averaging down concentrates risk in a losing trade; pyramiding compounds a winning one. They share the same blended-average formula, but the direction of price movement (and therefore the risk outcome) is opposite.
How many add-on tranches should I use?+
Most sources recommend capping total tranches at 3–4, regardless of scheme. The Turtle system used a maximum of 4 units. Beyond 4 tranches, the blended average converges toward the current price (for equal schemes) and even a small adverse move can wipe a large unrealised gain. The calculator limits addOns to 4 for this reason. If your stop is not trailed up with each add, fewer tranches (1–2) are safer for a fixed-stop approach.
Can I use this calculator for forex, crypto or futures?+
Yes. The formulas — blended average, total capital, total risk and constant-risk stop — apply to any instrument where you can express position size in shares/units and price in currency per unit. For forex, treat lot sizes as ‘shares’ and the pip price as the entry/stop price; for futures, use the contract’s notional point value to convert price steps to currency risk. The calculator uses whole-number shares; for fractional-share brokers or mini-lot forex the same math applies with fractional units.
What is the risk multiple (R multiple) shown in the results?+
The risk multiple is totalRisk ÷ initialRisk, where initialRisk is the first tranche’s risk at the original stop. It tells you by what factor adding the extra tranches multiplied your original per-trade risk budget. A riskMultiple of 2.75 means your full pyramided position, under a fixed stop, would lose 2.75 times what the first tranche alone would have lost at the stop. Trailing the stop to the constant-risk stop brings the risk multiple back to 1.0.
Does this calculator account for commissions or slippage?+
No. Entry prices and stop prices are taken as exact fills. In practice, slippage widens the effective stop distance on each add-on and commissions raise the effective cost basis. As a conservative adjustment, add your expected slippage to each tranche’s entry price before entering it, and subtract it from the stop — this reduces the constant-risk stop and gives a slightly smaller position size. For high-frequency add-ons (e.g. 4 tranches) slippage can meaningfully change the blended average and risk figure.
Disclaimer
Sources
- Van Tharp Institute — Pyramiding as a position sizing strategy: increase size as the trade moves in your favour while maintaining a consistent level of risk
- Alchemy Markets Education — Turtle Trading: pyramid up to 4 units, add one unit per 0.5N price move in your favour, raise all stops to 2 ATR below the most recent entry
- QuantStrategy — Mathematics of Pyramiding: blended average = Σ(qty × price)/Σqty; total risk = total units × (avg − stop); trail the stop to maintain constant dollar risk
- FINRA — Concentration Risk: why concentrated exposure in a single position amplifies losses — the risk principle that caps pyramiding
- CME Group Education — Proper Position Size: shares = account risk ÷ per-unit risk (entry − stop); the base formula that pyramiding extends across multiple tranches
Formula and data last reviewed by the TheCalculatorVault team on 4 July 2026. Figures are for general information, not professional advice.
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