The Free Roadmap
Seventeen short chapters take you from returns to value at risk. Each one fits on a page, with its formula explained in plain words and questions to test yourself.
- 17
- chapters in five parts
- 37
- questions with worked solutions
- 29
- pages, ready to print
Download the e-book (PDF, 2.9 MB)
PDF, no sign-up and no e-mail needed.

Contents
Part 1
Money and Time
- Returns
- Interest and Present Value
Part 2
Chance
- Expected Value
- The Random Walk
- The Square Root Rule
- The Bell Curve
Part 3
Risk and Reward
- Volatility
- The Sharpe Ratio
- Volatility Drag
Part 4
Mixing Investments
- Correlation
- Diversification
- The Efficient Frontier
- Beta and the CAPM
Part 5
Bets, Simulation and Bad Days
- The Kelly Criterion
- Monte Carlo Simulation
- Fat Tails
- Value at Risk
Plus a formula sheet with the key formulas of every chapter, a word list and a look at the full course.
Every chapter looks like this

- 1
Introduction
The idea in two sentences and why it matters.
- 2
Intuition
One clear picture that shows how it works.
- 3
The Math
The formula with every symbol explained, and the line of Python behind it.
- 4
Real World
Where quants use it every day.
- 5
Questions
One to three questions on the chapter in interview style, with worked solutions at the back.