Correlation math
The Math: Correlated vs. Uncorrelated Drawdowns
Correlation between EA return streams determines almost the entire range of possible portfolio drawdowns, from mild diversification benefit to fully additive losses.
Best Case: Completely Uncorrelated EAs (ρ = 0)
Truly uncorrelated EA returns scale portfolio volatility with the square root of the EA count, halving expected risk relative to a single EA at four EAs. Drawdowns still stack, but the probability of all EAs drawing down simultaneously is low.
Uncorrelated portfolio drawdown estimate
σ_portfolio = σ_individual × √(n) ÷ n
σ_portfolio = σ_individual ÷ √(n)
For 5 uncorrelated EAs with 15% individual DD:
Expected max portfolio DD ≈ 15% ÷ √5 × adjustment
Realistic range: 15-22%
Notice that even with perfectly uncorrelated EAs, the portfolio drawdown doesn't improve as dramatically as you might hope. It's better than one EA alone, but far from zero.
Worst Case: Perfectly Correlated EAs (ρ = 1)
Perfectly correlated EAs produce additive drawdowns, so five EAs at 15% individual drawdown can collectively reach 75% portfolio drawdown.
Fully correlated portfolio drawdown
Portfolio DD = DD_1 + DD_2 + ... + DD_n
For 5 EAs, each with 15% DD:
Portfolio DD = 75% (account-killing)
Realistic Case: Partial Correlation (ρ = 0.3 to 0.6)
Most retail EA portfolios cluster between 0.3 and 0.6 average correlation due to shared USD exposure, similar strategy types, and common market regime sensitivity. Even EAs on different pairs often have correlations of 0.2-0.5 due to shared USD exposure, similar strategy types, or common market regime sensitivity.
Partial correlation estimate
Effective independent EAs ≈ n ÷ (1 + (n-1) × avg_ρ)
5 EAs with avg correlation 0.4:
Effective EAs ≈ 5 ÷ (1 + 4 × 0.4) = 5 ÷ 2.6 ≈ 1.9
You think you have 5 EAs. You effectively have ~2.
This is the critical insight: with average correlation of 0.4, five EAs provide the diversification benefit of roughly two independent EAs. Your portfolio is far less diversified than you think.