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Course 7 · Advanced

Quantitative Methods & Risk

The statistical and risk-management foundation a quant desk expects you to know cold. Learn how returns are really distributed and why the normal curve understates tail risk, do the arithmetic of expectancy and edge, build risk measures (volatility, drawdown, VaR, CVaR) and learn where each one fails, size positions with fixed-fractional and Kelly math without blowing up, and design backtests that survive contact with reality. No signals, no win-rate promises — just the tools to evaluate everything yourself.

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Finish every lesson and pass every module quiz to earn the certificate.

Curriculum

5 modules · 20 lessons

How returns are actually distributed, why the normal curve underestimates tail risk, and the probability tools — expectation, variance, fat tails, volatility clustering — that everything downstream depends on.

  1. 1Random Variables, Returns & Expectation13 min
  2. 2The Normal Distribution — and Why Markets Aren't14 min
  3. 3Volatility Clustering & Regimes12 min
  4. 4Correlation, Covariance & Diversification12 min
  5. Module quiz · 7 questionsNot taken

The arithmetic of edge: expected value per trade, the win-rate / reward-ratio trade-off, variance and the law of small numbers, and how many trades you actually need before a result means anything.

  1. 1Expectancy: The Arithmetic of Edge13 min
  2. 2Variance, Sample Size & the Law of Small Numbers14 min
  3. 3Sharpe, Sortino & Risk-Adjusted Return12 min
  4. 4Compounding & the Volatility Tax12 min
  5. Module quiz · 7 questionsNot taken

The family of numbers desks use to quantify downside — volatility, maximum drawdown, Value at Risk in three flavors, and Expected Shortfall — together with the failure mode of each.

  1. 1Volatility & Drawdown as Risk12 min
  2. 2Value at Risk, Three Ways14 min
  3. 3Expected Shortfall (CVaR) & Where VaR Fails12 min
  4. 4Stress Testing: Scenarios that Break VaR11 min
  5. Module quiz · 7 questionsNot taken

Turning an edge into a survivable bet size: fixed-fractional risk, the Kelly criterion and why full Kelly is violent, fractional Kelly, and volatility targeting.

  1. 1Fixed-Fractional Risk & Why Size Is the Strategy13 min
  2. 2The Kelly Criterion (and Why Full Kelly Is Violent)15 min
  3. 3Fractional Kelly & Volatility Targeting12 min
  4. 4Portfolio Heat & Correlated Risk12 min
  5. Module quiz · 7 questionsNot taken

Overfitting and the multiple-testing trap, look-ahead and survivorship bias, walk-forward and out-of-sample discipline, realistic costs, and the bootstrap as an honesty check.

  1. 1Overfitting & the Multiple-Testing Trap14 min
  2. 2Look-Ahead & Survivorship Bias13 min
  3. 3Walk-Forward & Out-of-Sample Discipline13 min
  4. 4Costs, Slippage & the Bootstrap13 min
  5. Module quiz · 7 questionsNot taken

Trading involves risk of loss. Markitel provides signals and analytics for informational purposes only and is not a registered investment adviser. Past performance does not guarantee future results. Read full disclosure.