This course was written in collaboration with former quantitative traders from leading firms SIG and Optiver.
In this course, we'll dive into statistical modeling, matrices, and Markov chains, and guide you through the powerful mathematics and statistics used to model the chaos of the financial markets.
See why math is the new hero of finance.
Get your odds straight.
Practice the problem-solving skills required for tackling challenging probability questions.
In a fast-paced market, here's how to update your beliefs in light of new information.
Tackle two sample interview problems in probability, step-by-step.
Strategies to calculate the average outcome of random variables.
Trading is often a game of averages. Learn how to quantify them.
When risk is involved, expected values get more complex!
Tackle a sample interview problem in expected value, step-by-step.
The real way to measure "a crazy day on Wall Street".
Learn essential techniques for modeling the fluctuations of assets and quantifying risk.
Assets are often correlated. Get to know this tool for measuring how their relative fluctuations affect others.
Learn a trick for calculating variance that works even when events are dependent.
Tackle a sample interview problem in variance, step-by-step.
Your model looks good, but are the results statistically significant?
Statistics gathers information from samples to make inferences about the overall population.
Though it's not a perfect model, this distribution remains at the core of many pricing algorithms.
Get familiar with one of the most common distributions used to model asset prices.
Learn how to estimate and how confident you should be.
Hypothesis testing helps determine if your model is actually consistent with the real-world data.
Given some 'true' model, what are the parameters for that model that fit the data?
Learn how to quickly estimate values which would require extensive analysis to determine exactly.
The arithmetic of linear algebra for regression, Markov chains, and more.
Brush up on matrix operations: addition, multiplication, transpose, and trace.
Matrix inversion is an important tool to have on your belt when you're solving matrix equations.
For large, real-world systems, this matrix approach is more effective than other ad-hoc techniques.
Learn how to represent vector relationships, such as how stocks interact with each other.
Stochastic modeling for the ever-changing markets.
Explore a powerful tool for representing systems that change states over time.
Learn how to find the 'steady state' of an evolving system.
These advanced tools allow you to calculate the expected steps between states and much more.