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The Heikin-Ashi strategy can be based on these rules:
Long Signal: HaClose > HaOpen.
Short signal: HaClose < HaOpen.
i ~ Current Bar.
Entry at open after the signal.
Heikin-Ashi:
HaClose = (AvgOpen + AvgHigh + AvgLow + AvgClose)/4
HaOpen = (HaOpen + HaClose)/2
HaHigh = max(AvgHigh, HaOpen, HaClose)
HaLow = min(AvgLow, HaOpen, HaClose)
where AvgOpen (AvgHigh/AvgLow/AvgClose) is an average open (high/low/close) price over the Look_Back period.
Test on 42 US futures supports the fact that HA bars should not be used without smoothing. The Look_Back specifies the time window for the bar averages where Look_Back = 1 implies regular HA bars. The Time_Index defines the number of bars we stay in a trade before the time exit.