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Aggregate raw ticks into OHLC bars

You have timestamped trade prints in time order and want to resample them into fixed-width OHLC bars: for each interval, record the first price (open), the maximum (high), the minimum (low), and the last price (close).

ticks = [(0,10), (1,12), (2,9), (5,11), (6,14)], interval = 5
-> [(0, 10, 12, 9, 9),      # bucket [0,5): prices 10,12,9
    (5, 11, 14, 11, 14)]    # bucket [5,10): prices 11,14

Return one (bucket_start, open, high, low, close) tuple per non-empty interval.

Your answer

This one is open-ended. Work it through, then check your reasoning against the full solution.

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