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Table 3 Definition of standard variables with illustration of the feature extraction to predict the mid-price movement of the i-th window, \(i=3,\dots N/k\). Each window contains k=5 events

From: Novel modelling strategies for high-frequency stock trading data

Definition

Description

\(V_{11}=P^{ask}_{i-1,k}\)

best ask price

\(V_{12}=P^{bid}_{i-1,k}\)

best bid price

\(V_{13}=P^{mid}_{i-1,k}\)

mid-price

\(V_{14}=V^{ask}_{i-1,k}\)

best ask volume

\(V_{15}=V^{bid}_{i-1,k}\)

best bid volume

\(V_{16}=(P_{i-1,k}^{ask}-P_{i-1,k}^{bid})/P^{mid}_{i-1,k}\)

bid-ask spread return

\(V_{17}=dP^{ask}/dt\)

best ask price derivative

\(V_{18}=dP^{bid}/dt\)

best bid price derivative

\(V_{19}=dP^{mid}/dt\)

mid-price derivative

\(V_{20}=dV^{ask}/dt\)

best ask volume derivative

\(V_{21}=dV^{bid}/dt\)

best bid volume derivative

\(V_{22}=\) \(\#\) of events in the last second

arrival rate