Resources

Practical Guides for Quant Developers

Free articles covering the tools, techniques, and thinking behind modern quantitative finance — from Python and cloud infrastructure to calculus, probability, derivatives pricing, and portfolio theory.

Mathematics

Mathematics11 min read

Mathematical Notation Demystified: A Quant Finance Starter Kit

Sigma notation, function composition, set theory shorthand — the symbolic language you actually need before tackling quant finance maths.

Mathematics12 min read

Exponentials and Logarithms: Why Finance Cannot Live Without Them

Compound interest, log returns, continuous growth — the exponential function and its inverse are everywhere in quantitative finance. Here is why.

Mathematics14 min read

Calculus for Quant Finance: Differentiation, Integration, and Why They Matter

Rates of change, areas under curves, optimisation — calculus is the engine behind derivatives pricing, risk management, and portfolio construction.

Mathematics13 min read

Linear Algebra for Quant Finance: Vectors, Matrices, and Why They Run Everything

Portfolio weights are vectors. Covariance is a matrix. Risk decomposition uses eigenvalues. Here is the linear algebra every quant actually needs.

Mathematics12 min read

Optimisation in Quant Finance: Finding the Best Portfolio (and Everything Else)

From Markowitz to gradient descent — optimisation is how quants find optimal portfolios, calibrate models, and minimise risk. Here is how it works.

Mathematics13 min read

Probability for Quant Finance: From Coin Flips to Option Pricing

Expected values, distributions, Bayes' theorem, the Central Limit Theorem — the probability toolkit every aspiring quant needs.

Mathematics13 min read

Statistics for Quantitative Trading: Estimation, Testing, and Regression

How to estimate volatility, test whether a strategy works, and build factor models — the statistics that actually get used on trading desks.

Mathematics12 min read

Random Walks and Brownian Motion: How Finance Models Uncertainty

From a drunk stumbling home to the Black-Scholes equation — random walks and Brownian motion are the mathematical heartbeat of modern finance.

Finance

Finance13 min read

Understanding Financial Markets: A Practical Guide for Aspiring Quants

Equity, fixed income, FX, derivatives — how financial markets actually work, who the participants are, and where quantitative engineers fit in.

Finance11 min read

Time Value of Money: The Foundation of Every Financial Calculation

Present value, future value, discounting, NPV — the concept that a pound today is worth more than a pound tomorrow underpins all of finance.

Finance12 min read

Bonds and Fixed Income: Pricing, Duration, and Why Quants Care

Bond pricing, yield to maturity, duration and convexity — the fixed income concepts that form the backbone of interest rate modelling.

Finance13 min read

Introduction to Derivatives: Forwards, Futures, Options, and Swaps

What derivatives are, how they work, and why they matter — the contracts at the heart of quantitative finance.

Finance14 min read

Portfolio Theory and CAPM: The Maths Behind Diversification

Mean-variance optimisation, the efficient frontier, and the Capital Asset Pricing Model — how modern finance thinks about building portfolios.

Finance14 min read

Option Pricing Explained: From Binomial Trees to Black-Scholes

The binomial model, Black-Scholes, risk-neutral pricing — how derivatives are valued and why it matters for every quant.

Finance13 min read

The Greeks and Volatility: Sensitivities Every Quant Must Know

Delta, gamma, theta, vega — the partial derivatives that drive options trading, hedging, and risk management. Plus volatility modelling essentials.

Finance14 min read

Risk Management in Quant Finance: VaR, Credit Risk, and Beyond

Value at Risk, expected shortfall, credit risk, and risk-neutral pricing — the quantitative tools that keep the financial system from falling over.

Finance12 min read

Algorithmic Trading: Signals, Backtesting, and What Quants Actually Do

Alpha signals, execution algorithms, backtesting pitfalls — a practical introduction to the world of systematic trading.