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stochastic processes is a collection of random variables representing the evolution of some system of random values over time.

3 votes

How to simulate stock prices using variance gamma process?

This paper seems to outline what you are looking for. You want to be careful about mean/variance/kurtosis to make sure you are working in the correct measure.
experquisite's user avatar
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6 votes

Why should we expect geometric Brownian motion to model asset prices?

Brownian motion - because it is simple, and results in intuitive closed form solutions, and it's not a terrible description of asset prices, especially when employed in high-frequency event time. G …
experquisite's user avatar
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1 vote

Modelling EUR/USD with Ornstein-Uhlenbeck + jumps?

Try modelling samples every 20,000 ticks, instead of 2 hours (or any such number like that). Markets are often less fat tailed in terms of the trade- or volume-clock. See http://www.amazon.ca/Introd …
experquisite's user avatar
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