From 
The Physics of Finance and 
Medium:
 
  
Financial firms that specialize in “high-frequency” 
trading (HFT) are now buying and selling stocks, futures, foreign 
currencies and many other assets with computer algorithms operating on 
timescales less than 1 millisecond. That's more than 1,000 trades a 
second. Modern markets have become complex ecologies in which millions 
of these “algos” compete all the time, and with advancing technology, 
10,000 trades per second is just around the corner. More than half of 
all trading now takes place this way, and there's no end in sight to 
this “arms race” to ever faster speeds.
Non-financial people may rightly wonder: Why? Does it make sense? Is it fair, sensible, or possibly dangerous?
Indeed,
 it CAN BE dangerous, as such trading was directly implicated in the 
infamous Flash Crash of 6 May 2010, as well as in many “mini” flash 
crashes since then. Stock prices of course move erratically, but at 
least they used to move continuously; now stocks often jump 
discontinuously by several percent in a fraction of a second. Some 
experts, such as quantitative finance guru Paul Wilmott, have 
argued
 that high speed computer trading will bring on the next great financial
 disaster. Others, such as the Bank of England's Andy Haldane, 
point out
 that while high-frequency trading in ordinary times makes markets more 
liquid and therefore efficient, it also makes them more volatile and 
potentially explosive in times of stress.
I've written 
before
 about these risks associated with HFT, and remain convinced that we 
know very little about the things that might go wrong, especially as HFT
 becomes ever more dominant across different markets globally (see 
this worrying article,
 for example). Still, I'm not at all against technology when it can help
 us, if we can clearly understand how it does help us, collectively, 
rather than just the few parties who use it. So, I want to point out 
some far-from-obvious positive aspects of HFT, highlighted by 
recent research by physicist and finance expert Austin Gerig of Oxford University.
HFT
 firms don't go around telling people how they're trading. This secrecy 
has helped fuel controversy around what they do and also made it hard 
for researchers to tease out how exactly HFT activity affects markets. 
This is what Gerig has tried to do, using a special dataset supplied by 
NASDAQ, which reveals much greater detail on HFT trading activities. 
Perhaps the most striking thing he finds is that a primary effect of 
broad HFT activity is to “synchronize” security prices across financial 
markets. This means, for example, that if the price of Coke suddenly 
changes – because of fluctuations in sugar prices, perhaps – this will 
be followed almost instantaneously by similar price changes in other 
related securities such as Pepsi.
“Synchronization is a
 gargantuan task,” Gerig points out, given the huge number of stocks and
 other assets and the links between them, plus all the myriad 
derivatives products the values of which are directly tied to those 
assets. It's a task, he notes, that is “tailor-made for HFT as it is 
profitable for the firms that do it and can only be done with high-speed
 computerized trade.”
Ok, so HFT helps 
synchronization. So what? Using a standard model of financial markets, 
Gerig goes on to show that price synchronization is broadly good for the
 market, as it makes prices more accurate and thereby reduces 
transaction costs. Specifically, improved price accuracy leads to cost 
reduction because liquidity providers – market makers who stand ready to
 buy or sell at fixed prices at any moment – have more confidence that 
they won't be “picked off” or taken advantage of by someone out there 
who has better information....
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