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Predicting the movement of stock prices is an alluring challenge with the promise of riches. Unfortunately, predicting future stock prices consistently and reliably is generally considered impossible. However, we can use models to make useful predictions, manage risk, and profit *probalistical...*

Brownian motion describes the motion of a particle in a fluid or gas. Such a particle bounces a...

Monte-Carlo simulation is a statistical technique inspired by the casinos of Monaco. Much like gamblers resigning their fates to probability, we hand over the results of statistical analysis to chance. By running enough trials, we can make conclusions with statistical significance.

Consider...

Monte-Carlo simulation of terminal values is a relatively simple simulation, and one can probably be completed analytically. The true power of Monte-Carlo simulation is unlocked when analysing scenarios that are more difficult to solve analytically, if not impossible. For example, if we wanted to...

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