This will make Ito integral important to break time interval into finer grades
The afternoon of May 6, 2010 was among the strangest in economic history. Starting at 2:42 p.m. EDT, the Dow Jones stock index fell 600 points in just 6 minutes. Its nadir represented the deepest single-day decline in that market’s 114-year history. By 3:07 p.m., the index had rebounded. The “flash crash,” as it came to be known, was big, unexpected and scary — and a new study says flash events actually happen routinely, at speeds so fast they don’t register on regular market records, with potentially troubling consequences for market stability.
The analysis involved five years of stock market trading data gathered between 2006 and 2011 and sorted in fine-grained, millisecond-by-millisecond detail. Below the 950-millisecond level, where computerized trading occurs so quickly that human traders can’t even react, no fewer than 18,520 crashes and spikes occurred. The study’s authors call those events “financial black swans,” though they’re so common that the black swan label probably doesn’t fit anymore.