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quant-foundations

Small, self-contained implementations of concepts I'm learning through Shreve's Stochastic Calculus for Finance II and Cartea–Jaimungal–Penalva's Algorithmic and High-Frequency Trading.

Each notebook is a focused 1–2 hour exercise: a short prose intro in my own words, the code, plots, and a short "what I learned / what's next" section. These are not production projects — they are how I make sure I actually understand what I read.

The full project work (e.g. an Avellaneda–Stoikov market maker, statistical-arbitrage backtester) lives in dedicated repos starting in M3.

Structure

  • stochastic-calc/ — Brownian motion, Itô calculus, SDEs, geometric Brownian motion
  • pricing/ — Black–Scholes, Monte Carlo pricers, Greeks, implied volatility
  • microstructure/ — order-book mechanics, trade-sign classification, simple LOB simulators

Companion repos

  • quant-journey — written notes and weekly logs that reference these notebooks
  • islp-labs — statistical-learning chapter labs

Stack

Python 3.11+, NumPy, pandas, SciPy, Matplotlib, Jupyter. No frameworks beyond that for the foundational notebooks.

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