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You can tell a stock time series by certain characteristics:

1) There are more jumps down than up. (Maybe not in Pharma, but in general). If there's a gap up, chances are it's on earnings day.

2) Upward movements tend to be accompanied by lower volatility, and downwards by higher.

3) There's a lot of nothing-happened days, and a lot more large jumps than you'd expect in a random walk.

I've also spent a bunch of time generating random walks, and it's true that some look realistic, but they often fall into this trap that stock returns are not normally distributed.

I also wrote a number of random trading backtests, and it's frightening how few times you need to click the "recalculate" button to get a thing that looks like a money printing machine.



Perhaps it would be easy to code a pseudo trading sequence given a model of the psychological state of the agents in the trading system


It's not easy




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