Markets: A Rigorous Course

M04 · Problem 12 ★★ Check

Annualising with autocorrelation

A fund of illiquid small caps reports monthly returns with ρ1=0.25\rho_1=0.25, ρ2=0.10\rho_2=0.10 and ρk=0\rho_k=0 for k≥3k\ge3. Compute η(12)\eta(12) from (4.14) and the percentage by which 12\sqrt{12} scaling overstates the annual Sharpe ratio. Explain why stale prices produce positive autocorrelation.

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