Bias in Execution Cost Measures
We show that conventional trade–quote matching rules lead to overestimated effective bid–ask spreads. Using London Stock Exchange data where the true benchmark is observed, we find that the Lee–Ready algorithm overstates the midpoint-based effective spread by about 8% and the depth-weighted effective spread by about 18%. The bias is primarily a midpoint problem, not a trade-direction problem: restricting to trades that Lee–Ready signs correctly still leaves the effective spread overstated by roughly 16%. The overestimation arises because relative trade latency is stochastic and feed-specific rather than a fixed lag. A full-information matching procedure that allows the matched quote to appear before or after the trade reduces the bias to near zero in both exchange and vendor data.
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