medium · Quantitative Finance qf-core

A portfolio manager holds a large number of assets, each with a variance of σ^2 and an identical pairwise correlation of ρ.

As the number of assets n approaches infinity, what happens to the total portfolio variance?

  1. It converges to (σ^2)/(n).
  2. It converges to zero.
  3. It converges to ρ σ^2.
  4. It remains at σ^2.

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