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Various model of stock price

  1. I was wonderingwhat kinds of stock price can be modeled as a Geometric Brownian motion as in Black Schole model?
  2. Can the above model be used to model jump?
  3. I also very much appreciate some references that discuss various models of stock prices and in which cases to use which model.
Thanks in advance!
 
  1. I was wonderingwhat kinds of stock price can be modeled as a Geometric Brownian motion as in Black Schole model?
On a long horizon timescale with reasonable accuracy, none that come to mind.

You could try a broad market index or ETF, perhaps?

The stock market is significantly more irrational than options or fixed income markets whose instruments have a more deterministic price that they tend to trade towards.

  1. Can the above model be used to model jump?

Doubtful. Fundamental analysis may serve you better for this purpose

  1. I also very much appreciate some references that discuss various models of stock prices and in which cases to use which model.

There are a number of papers written about (and arguments posed regarding) using such techniques on stocks.
 
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