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Diversification

Term
Definition
Spreading investments across assets to reduce overall portfolio risk without sacrificing expected return.

Explanation

Diversification is the practice of owning assets that do not move in perfect lockstep. When one holding falls, others may hold steady or rise, reducing the portfolio's overall volatility.

Harry Markowitz proved in 1952 that diversification can reduce risk without reducing expected return—the only scenario in finance where you get something for nothing. The key insight is that a portfolio's risk depends not just on each holding's volatility but on the correlations between them.

Research shows that most diversification benefit comes from the first 15–30 holdings. Beyond that, the incremental risk reduction is marginal. However, diversification across asset classes (stocks, bonds, real estate, commodities) provides further benefits that diversification within a single asset class cannot.

Formula

σp² = Σᵢ Σⱼ wᵢ wⱼ σᵢ σⱼ ρᵢⱼ
VariableMeaning
σp²Portfolio variance
wᵢ, wⱼWeights of assets i and j
σᵢ, σⱼStandard deviations of assets i and j
ρᵢⱼCorrelation between assets i and j

Example

An investor holds 100% in one tech stock with 30% annual volatility. They split 50/50 between the tech stock and a utility stock with 15% volatility. The correlation between them is 0.3.

σp = √(0.5² × 30² + 0.5² × 15² + 2 × 0.5 × 0.5 × 30 × 15 × 0.3) = √(225 + 56.25 + 67.5) ≈ 18.7%

By splitting between two stocks with moderate correlation, portfolio volatility dropped from 30% to 18.7%—a 38% reduction in risk while maintaining similar expected return. This is diversification at work.

How Stoquity Uses This

Every Stoquity portfolio targets diversification across sectors and factor exposures. The risk model monitors the Herfindahl-Hirschman Index (HHI) for concentration, and the rebalancing engine flags portfolios where any single sector exceeds 40% weight. The AI Committee explicitly debates diversification trade-offs in each review.

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