What's good, traders! 🎯
Today we're diving into one of the most powerful—and most dangerous—position sizing techniques in trading: Pyramiding.
This is how Jesse Livermore, Nicolas Darvas, and the Turtle Traders built positions that turned small accounts into fortunes. It's also how countless traders have blown up their accounts by doing it wrong.
The difference? Systematic execution and rigid risk control.
This post breaks down the math, the methods, and the mechanisms that separate the legends from the liquidated. Let's get into it! 🚀
🎯 What Is Pyramiding?
Pyramiding is the practice of adding to winning positions as they move in your favor. Instead of entering your full position at once, you:
Start with a small "probe" position
Add to it ONLY if it's profitable
Use unrealized profits to finance additional risk
Build a massive position while keeping realized risk minimal
The Core Principle: Anti-Martingale 🎲
This is the OPPOSITE of Martingale (doubling down on losses).
Martingale (Bad):
Lose → Double position size
Lose → Double again
Eventually you run out of capital
Statistical ruin is inevitable
Anti-Martingale (Good):
Win → Increase position size
Lose → Decrease position size
Losses stay linear, gains become exponential
Captures "fat tail" positive events (massive runs)
The Philosophy:
When you're winning, the market is telling you something. The trend is real. The momentum is there. The "line of least resistance" is in your direction.
So you lean into it.
When you're losing, you get small. When you're winning, you get BIG. 💪
💰 The "House Money" Concept
Here's the brilliant part: once your initial position is profitable, you're playing with "house money" (unrealized profits).
Example:
Initial Position:
Buy 100 shares at $100
Risk per share: $5 (stop at $95)
Total risk: $500
Price moves to $110:
Your position is up $1,000 (unrealized profit)
You have "house money" of $1,000
Add to Position:
Buy 50 more shares at $110
Move stop on ALL shares to $105 (your AEP)
New risk on the ADD: $5 × 50 = $250
But this risk is FINANCED by your $1,000 unrealized profit
The Magic:
Your realized risk (initial $500) stays the same. The market is paying for your additional exposure. If you get stopped out at $105, you still made money on the initial position.
This is how you build 400-500 share positions while only risking capital on the first 100 shares. 🎰
📊 The Math: Scaling Methods Matter MASSIVELY
How you size each additional unit completely changes your risk profile. Let's break down three approaches:
Scenario: Stock Goes $100 → $110 → $120 → $130
Method 1: Equal Unit Sizing (Turtle Method) 🐢
You add the same size at each level:
$100: Buy 100 shares (Total: 100 shares, AEP: $100.00)
$110: Buy 100 shares (Total: 200 shares, AEP: $105.00)
$120: Buy 100 shares (Total: 300 shares, AEP: $110.00)
$130: Buy 100 shares (Total: 400 shares, AEP: $115.00)
Final Position: 400 shares at $115 average
The Problem: Your average entry price (AEP) rises aggressively. A standard 8-10% pullback takes you below your AEP and you're suddenly red on the entire position. One bad day and your "winning position" turns into a loser.
Method 2: Tapered/Geometric Sizing 📐
You reduce size with each add (common ratio: 100% → 50% → 25%):
$100: Buy 100 shares (Total: 100 shares, AEP: $100.00)
$110: Buy 50 shares (Total: 150 shares, AEP: $103.33)
$120: Buy 25 shares (Total: 175 shares, AEP: $105.71)
$130: Buy 12 shares (Total: 187 shares, AEP: $107.27)
Final Position: 187 shares at $107.27 average
The Advantage: Your AEP stays MUCH lower. You have a wider buffer against volatility. A 10% pullback from $130 takes you to $117—still above your AEP. You can weather normal market noise without getting stopped out.
Method 3: Inverted Pyramid (The Degenerate Way) 🚨
You INCREASE size with each add:
$100: Buy 100 shares
$110: Buy 200 shares
$120: Buy 400 shares
$130: Buy 800 shares
Why This Is Suicide:
Your AEP skyrockets. You're massively overweight at the worst prices (highest risk). A tiny 5% pullback wipes out 20%+ of your gains. This is statistically identical to "chasing" and creates structural instability.
DO NOT DO THIS. ❌
The Comparison
Same move ($100 → $130), three different outcomes:
Equal Sizing: 400 shares @ $115 AEP (aggressive, fragile)
Tapered Sizing: 187 shares @ $107.27 AEP (conservative, robust)
Inverted: Bankruptcy waiting to happen
The Lesson:
More shares ≠ better. The relationship between position size and AEP determines survivability. Tapered sizing keeps you in the game. 🎮
🔧 The "Free Roll" Formula (Critical Math)
To add to a position without increasing realized risk, you need to move your stop to breakeven on the total position. Here's the formula:
Breakeven Stop Formula:
S_new = (E1 × V1 + E2 × V2) / (V1 + V2)
Where:
S_new = New stop level for ALL shares
E1 = Entry price of first position
V1 = Volume (shares) of first position
E2 = Entry price of second position
V2 = Volume (shares) of second position
Critical Insight: This is IDENTICAL to the Average Entry Price (AEP) formula.
Example:
First position: 100 shares @ $100
Second position: 50 shares @ $110
S_new = (100 × $100 + 50 × $110) / (100 + 50)
S_new = ($10,000 + $5,500) / 150
S_new = $103.33
Move your stop to $103.33 for ALL 150 shares. Now if you get stopped out, you break even. The risk of the add is financed by the profit of the initial position. 📈
⚠️ The 1.5 ATR Constraint (Why You Can't Always Add)
Here's where most traders fuck up: they try to add when there isn't enough "room" to move the stop to breakeven.
The Problem:
If your AEP is too close to the current price, moving the stop to breakeven puts it within normal market noise. You'll get stopped out on a random wiggle.
The Rule:
If AEP > (Current Price - 1.5 × ATR), DO NOT ADD
What this means:
You need at least 1.5 ATR of buffer between the current price and your AEP. Otherwise, the position doesn't have enough "financing" to support the additional risk.
Example:
Current Price: $130
ATR: $5
1.5 × ATR = $7.50
Minimum AEP: $130 - $7.50 = $122.50
If adding would push your AEP above $122.50, don't do it. Wait for more movement to create more unrealized profit. 🛑
This constraint is NON-NEGOTIABLE. Violate it and you'll get chopped out on noise.
🎯 Technical Trigger Points: When to Add
Systematic pyramiding requires binary, repeatable triggers. No discretion, no emotion, just rules.
Method 1: Breakout (Momentum) 🚀
Trigger: Price clears an N-day high or swing high
Example:
Initial entry on 20-day high breakout
Add on 30-day high breakout
Add on 50-day high breakout
The Edge: Momentum persistence. When resistance breaks, it often becomes support.
The Risk: Bull traps and false breakouts. You're buying strength, which means you're vulnerable to fake-outs.
Best For: Strong trending markets, low volatility environments
Method 2: Pullback (Value) 📉
Trigger: Price touches dynamic support (20 EMA, 50 SMA, etc.)
Example:
Initial entry on breakout
Add when price pulls back to 20 EMA
Add on next pullback to rising 20 EMA
The Edge: Better risk/reward ratio, lower AEP, buying temporary weakness in an uptrend
The Risk: "Catching a falling knife." That pullback might be the start of a reversal.
Best For: Choppy trends, when you want to minimize AEP drift
Method 3: ATR Distance (Volatility-Normalized) 📏
Trigger: Price moves a specific ATR distance from last entry
Example (Turtle Method):
Entry 1: Breakout
Entry 2: Entry1 + 0.5N (where N = ATR)
Entry 3: Entry1 + 1.0N
Entry 4: Entry1 + 1.5N (max 4 units)
The Edge: Chart-blind. Adapts to volatility. Works in any market.
The Risk: Ignores support/resistance. Might add right into overhead supply.
Best For: Algorithmic/systematic approaches, when you want zero discretion
🛡️ Trailing Stop Mechanisms (Your Life Depends on This)
Pyramiding without dynamic trailing stops is financial suicide. You MUST have a system to lock in profits as the position grows.
Option 1: Chandelier Exit (Volatility-Based) 🕯️
Hangs from the highest point like a chandelier.
Formula:
Stop = Highest High (n periods) - (k × ATR)
Typical Settings:
n = 22 days (about 1 month)
k = 2.5 to 3.0
Example:
Highest High in last 22 days: $150
ATR: $5
Multiplier: 3.0
Stop: $150 - ($5 × 3.0) = $135
Advantages:
✅ Volatility-adjusted (tighter in calm markets, wider in volatile)
✅ Mechanical (no discretion)
✅ Gives trends room to breathe
Disadvantages:
❌ Can give back substantial profits in parabolic moves
❌ Doesn't respect market structure
Option 2: Market Structure (Swing Lows) 🏔️
Based on Dow Theory—place stops below the most recent higher low.
Method:
Identify the last significant "valley" in the uptrend
Place stop 1-2 ticks below it
When price makes a new higher low, move stop to below that
Advantages:
✅ Respects actual support levels
✅ Works with market psychology
✅ Intuitive
Disadvantages:
❌ Subjective (what's "significant"?)
❌ Can leave too much profit exposed in climax moves
❌ Gets whipsawed in choppy markets
Option 3: Turtle "Ratchet" Protocol 🐢
Mechanical system that ties stops to position additions.
Rules:
Initial stop at Entry - 2N (where N = ATR)
When you add at Entry + 0.5N, raise ALL stops by 0.5N
When you add at Entry + 1.0N, raise ALL stops by 0.5N again
Total risk stays constant at 2N from newest entry
Example:
Entry 1 @ $100, Stop @ $90 (2N = $10)
Add @ $105, raise all stops to $95
Add @ $110, raise all stops to $100
Add @ $115, raise all stops to $105
Advantages:
✅ Completely systematic
✅ Total risk stays constant
✅ No thinking required
Disadvantages:
❌ Can stop out early in volatile trends
❌ Doesn't adapt to market structure
My Take: Use a COMBINATION. Chandelier Exit for the primary stop, but override it if it would violate an obvious structural support level. 🎯
🎓 Historical Case Studies: The Legends
Jesse Livermore: The Probe System 💎
Livermore's approach was discretionary but systematic in principle:
The Method:
Send a "probe" (20% of intended position) into the market
Wait and see if it profits
Only add if the probe shows a profit
View the higher entry price as an "insurance premium"
The Philosophy:
"The big money is made in the big moves. But you need to know you're right before you bet big."
The probe confirmed the "line of least resistance" was in his favor. Once confirmed, he scaled aggressively.
Why It Worked:
Livermore wasn't afraid of buying higher. He understood that confirmation is worth more than a few points. Better to enter at $105 with proof than $100 with hope.
Nicolas Darvas: Box Theory 📦
Darvas created a visual system based on consolidation ranges:
The Method:
Identify a "box" (consolidation range, e.g., $45-$50)
Buy the breakout of the box top ($50)
Place stop at box bottom ($45)
When price forms a new box at higher level ($55-$60):
Buy the new breakout ($60)
Move stop for ALL shares to bottom of new box ($55)
The Genius:
Each new box became a structural trailing stop. As long as boxes kept forming higher, he stayed in. When price fell back into a previous box, he was out.
Result: Turned $36,000 into $2.4 million in 18 months (1957-1959). 🚀
The Turtle Traders: Pure Systematic Execution 🐢
The Turtles removed ALL discretion with a rigid algorithm:
The Rules:
Entry 1: 20-day breakout
Entry 2: Entry1 + 0.5N
Entry 3: Entry1 + 1.0N
Entry 4: Entry1 + 1.5N (maximum 4 units)
Stop: Entry1 - 2N, raised 0.5N with each add
Position Sizing:
Each "unit" = 1% account risk based on N
The Acceptance:
They KNEW they'd get whipsawed. They KNEW 40% of trades would be losers. They didn't care. The losers were the cost of doing business to catch the 10N, 20N, even 50N moves.
Result: Average annual return of 80%+ over 5 years. Several turtles became multi-millionaires from $1M starting capital. 💰
The Lesson: Accept small losses as inevitable. Ride big winners to the moon.
🧠 The Psychological Challenge
Pyramiding is hard because it violates human instincts:
What Feels Right (But Is Wrong):
"It's gone up too much, I should wait for a pullback"
"I'll add more if it comes back to my entry"
"I got a great entry, I should add while it's still cheap"
What Actually Works (But Feels Wrong):
Buying higher after confirmation ✅
Adding to winning positions, not losing ones ✅
Paying "insurance premiums" for proof ✅
The Mental Shift:
You're not trying to get the best entry. You're trying to maximize geometric mean returns by being BIG in the right positions and SMALL in the wrong ones.
This requires:
🎯 Accepting that confirmation costs points
🎯 Viewing higher prices as validation, not penalty
🎯 Focusing on TOTAL PROFIT, not entry price
🎯 Being comfortable with "I could have bought lower"
The Paradox:
The "best" entry (the lowest price) often has the LEAST confirmation. The "worse" entry (higher price) often has the MOST confirmation.
Professional traders prefer confirmed edges at higher prices over hopeful trades at lower prices. 📊
⚠️ Common Mistakes That Blow Up Accounts
Mistake 1: Adding to Losers 🚨
"Averaging down" is Martingale. It's financial suicide. If a position goes against you, GET SMALLER, not bigger.
Mistake 2: Ignoring the AEP/ATR Constraint
Adding when AEP is too close to current price guarantees you'll get stopped out on noise.
Mistake 3: No Trailing Stop
Building a 400% position with no dynamic stop is insane. One reversal wipes out everything.
Mistake 4: Inverted Pyramid
Getting bigger as price extends = maximum exposure at maximum risk. Don't do it.
Mistake 5: Emotional Discretion
"This feels like a good spot to add" is NOT systematic. You need RULES. Otherwise you'll add at tops and hesitate at perfect moments.
🎯 The Systematic Pyramid Framework
Here's a complete, rule-based system you can implement:
1. Initial Position (The Probe):
Risk 0.5-1% of account
Enter on defined trigger (breakout, pullback, whatever)
Stop at Entry - 2N
2. First Add (+0.5N from Entry):
Add 50% of initial size
Move stop to AEP (if AEP < Current Price - 1.5N)
Total risk still ~1% of account
3. Second Add (+1.0N from Entry):
Add 25% of initial size
Move stop to new AEP
Total risk still ~1% of account
4. Maximum Position (+1.5N from Entry):
Add 12.5% of initial size
Move stop to new AEP
Do NOT add beyond this point
5. Trailing Stop (Always Active):
Use Chandelier Exit (22-day high - 3.0 ATR)
OR Turtle Ratchet (raise 0.5N with each add)
Exit when stop is hit, no discretion
6. Take Profit:
Scale out at major resistance levels
OR ride until trailing stop is hit
Lock in partial profits at psychological levels (2R, 5R, 10R)
The Result:
You end up with positions that are 187-200% of your initial size, but your RISK stays at 1%. The market financed your scale-up. If you get stopped out, you break even or profit. If the trend continues, you capture massive returns. 🎰
📈 Real-World Performance Expectations
Win Rate: 35-45% (yes, you lose more often than you win)
Payoff Ratio: 3:1 to 10:1 (winners dwarf losers)
Sample Distribution:
60% of trades: Small losses (-1R to -0.5R)
30% of trades: Small wins (+1R to +3R)
10% of trades: MASSIVE wins (+10R to +50R)
That 10% makes all the difference. 🚀
The "fat tail" positive events (the 20R, 30R, 50R winners) are WHY pyramiding works. You're positioning yourself to capture those outlier moves while keeping losses small and linear.
💡 Advanced Considerations
Market Regime Matters:
Trending Markets (High Hurst Exponent):
Pyramiding works beautifully
Serial correlation is real
Momentum persists
Mean-Reverting Markets (Low Hurst Exponent):
Pyramiding gets destroyed
Chop, whipsaw, death
Stay flat or trade reversals instead
How to Tell:
Check ADX (>25 = trending, <20 = choppy)
Monitor R² of linear regression on price
Look at ATR relative to range (expanding = trending)
Sector Rotation:
Don't pyramid in dying sectors. You want:
✅ Strong sector relative to market
✅ Strong stock relative to sector
✅ Increasing volume on advances
✅ Tightening consolidations before breakouts
Correlation Risk:
If you pyramid 5 positions in tech stocks and tech corrects, ALL your positions blow up simultaneously. Diversify across sectors and asset classes.
🗣️ Discussion Questions
For the systematic traders out there:
What's your preferred scaling method—equal units or tapered?
How do you handle the psychological challenge of buying higher?
What's your favorite trigger for adding to positions?
Chandelier Exit vs. Market Structure—which do you prefer?
What's the largest position you've built via pyramiding (as % of initial size)?
How do you adapt pyramiding across different market regimes?
Share your war stories! Have you caught a massive runner using pyramiding? Or gotten chopped out trying? Let's learn from each other. 👇
Not financial advice. Pyramiding amplifies both wins and losses. Practice in sim before risking real capital. Most traders should master basic position sizing before attempting pyramiding. The examples are simplified for illustration. Markets are unpredictable. You will lose money. Manage risk accordingly. 🙏