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Trade Expectancy Trees

Trading Intelligence

9 min read

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Visualize probable outcomes using branching decision trees to model strategy behavior and master your mental game.

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Distribution of Trade Returns

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Risk of Ruin

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Position Sizing Based on Confidence Intervals

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A strategy isn't just a win or loss — it's a branching tree of possibilities. Learn to model them and master your mental game.


Introduction

You might know your:

  • Win rate = 45%
  • Avg win = 2.2R
  • Avg loss = –1R
  • EV = +0.5R

But what does that look like in real time?

That’s where Trade Expectancy Trees come in.

They show you:

  • The range of outcomes you can expect from your strategy
  • The paths to success or failure
  • Why randomness feels like inconsistency — but isn't
  • How to mentally rehearse worst-case and best-case scenarios

What Is a Trade Expectancy Tree?

A tree diagram that maps the possible outcomes of a trade or a series of trades — based on win/loss probabilities and outcome sizes (R).

Instead of just saying:

“My EV is +0.5R”

You see:

  • Win → +2R (45%)
  • Loss → –1R (55%)
  • And how these chain together over 3, 5, or 10 trades

You’re now trading with eyes open — aware of variance, not shocked by it.


Basic One-Trade Tree Example

Your stats:

  • Win rate: 45%
  • Win size: +2R
  • Loss size: –1R

Trade 1 Tree:

 ┌── Win (45%) → +2R
Start ──┤
 └── Loss (55%) → –1R

Expected Value (EV):

EV = (0.45 × 2) + (0.55 × –1) = +0.35R

Already profitable — but only over many trades.


Multi-Trade Expectancy Tree

Now expand it to 2 trades:

 ┌─ Win ─ Win → +4R
 │
 ┌───┤
 │ └─ Win ─ Loss → +1R
Start│
 │ ┌─ Loss ─ Win → +1R
 └───┤
 └─ Loss ─ Loss → –2R

Outcome Probabilities:

  • WW: 0.45 × 0.45 = 20.25%
  • WL or LW = 0.45 × 0.55 + 0.55 × 0.45 = 49.5%
  • LL: 0.55 × 0.55 = 30.25%

Insight:

Even with a strong edge, nearly 1 in 3 sequences will be a back-to-back loss.

That’s why emotional resilience and sample size matter.


Tree Modeling for 10+ Trades

You can’t draw it by hand anymore — but you can:

  • Run simulations
  • Use spreadsheets
  • Generate probability heatmaps or PnL path diagrams

This gives you:

  • Possible PnL curves
  • Expected drawdowns
  • Probable recovery windows
  • Statistical win/loss streaks

Why This Helps

1. Prepares You Emotionally

You won’t panic after 3 losses if your tree shows it’s a common outcome on the path to +10R.


2. Reinforces the Series-of-Trades Mindset

You stop evaluating single trades emotionally. You zoom out and ask:

“Am I executing my system over 50+ trades?”


3. Supports Your Risk Planning

You can build risk tiers, drawdown thresholds, and capital scaling plans based on:

  • Expected outcome paths
  • Probable worst-case streaks
  • Maximum variance windows

How to Build One (Manually or in Excel)

  1. Define:
  • Win rate
  • Avg win / loss (in R)
  1. Choose number of trades (start with 3–5)
  2. Create branches:
  • Each node = result
  • Each path = one scenario
  1. Add:
  • Outcome totals
  • Probabilities
  • EV per path

Optional: Simulate in Excel or Python to model 1000+ sequences.


Final Thought

Most traders blow up not from bad systems — but from being surprised by normal randomness.

Trade expectancy trees give you vision.

Know what paths are possible. Know what paths are likely. And keep executing until the math catches up.


Final Post in Module 5:

Optimal Withdrawal & Growth Strategy – Managing Your Equity Curve → Learn when to pull capital, when to compound, and how to keep growth consistent without emotional volatility.