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Quantitative Finance · Glosario

¿Qué es Roll’s estimator?

Definition 21.2 Quantitative Methods · Capítulo 21 — High-Frequency Econometrics

Roll’s estimator (Roll, 1984) of the effective bid–ask spread is 2−γ12\sqrt{-\gamma_1}, with γ1\gamma_1 the first autocovariance of trade-price changes: under pure bounce around an efficient price, trades are at mid ±c/2\pm c/2 with independent signs, and γ1=−c2/4\gamma_1 = -c^2/4.

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