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Effective number of holdings

Also called: diversification, concentration, herfindahl

How many equally sized holdings your portfolio behaves like. Ten holdings where one is 80% of the money behave more like one or two.

Formula

Effective holdings = 1 ÷ Σ(weight²) (the inverse Herfindahl index)

Worked example

  1. A: 40.0% → 0.400² = 0.1600
  2. B: 30.0% → 0.300² = 0.0900
  3. C: 20.0% → 0.200² = 0.0400
  4. D: 10.0% → 0.100² = 0.0100
  5. Sum of squared weights = 0.3000
  6. 1 ÷ 0.3000

Result: 3.3

How to read it

Funds such as a global or S&P 500 tracker count as one holding here even though they hold hundreds of companies, so if you own funds you're more diversified than this number suggests.

See it with real numbers: Health check → (free account)

Related terms