This is the capstone. Six lessons built the discipline of harvesting relative value — betting on relationships instead of direction, hedging the market clean out of the book, and stacking thousands of tiny, repeatable edges until the law of large numbers turns a coin-flip into a business. You learned why arbitrage lives on a spectrum from risk-free to purely statistical and why breadth (IR ≈ IC·√N) is the engine; how cointegration, not mere correlation, builds a stationary spread you can standardize into a z-score and trade at the ±2σ bands with a measurable half-life; how mean reversion and momentum are mirror images whose dominance flips with horizon and regime; how to turn a raw signal into a dollar-, beta-, and factor-neutral book of pure residual alpha; how to combine weak independent signals and respect the brutal decay-versus-turnover trade-off that sets your rebalance speed; and why every strategy hits a capacity ceiling, why crowding secretly collapses your breadth, and how a deleveraging spiral turned August 2007 into the quant quake. No formula sheet, no hints, no take-backs: every answer locks the instant you submit, the wrong options are the exact traps that fool real desks, and your score stays hidden until the end.
Big picture
Systematic & Statistical Arbitrage — the whole ladder
- Systematic & Statistical Arbitrage
- Relative-value mindset
- Spectrum: risk-free → convergence → statistical (true only on average)
- Market-neutral spread bets on a relationship, not direction
- Law of large numbers: IR ≈ IC·√breadth
- Pairs & cointegration
- Correlation ≠ cointegration; need a stationary spread
- Spread = Pa − β·Pb; z = (spread − μ)/σ; trade ±2σ
- Half-life = ln2 / κ sets the holding period
- Reversion vs momentum
- Mirror images: fade extremes vs ride extremes
- Time-series (vs own history) vs cross-sectional (vs peers)
- Horizon: days revert, months trend, years revert
- Market-neutral book
- Dollar-neutral ≠ beta-neutral ≠ factor-neutral
- Hedge market + style + sector → residual alpha (ε)
- Neutrality costs trading, financing, and risk budget
- Combination & decay
- IC tiny (0.02–0.05) but gold at breadth
- Blend uncorrelated signals; orthogonality pays
- Decay vs turnover → hump-shaped optimal horizon
- Capacity, crowding, quant quake
- Capacity: impact ≈ Y·σ·√(Q/V) caps AUM
- Crowding collapses breadth N toward 1
- Aug 2007: deleveraging spiral, not wrong models
- Relative-value mindset
One run, one shot
This exam is graded and irreversible. Each question locks the moment you submit it — there is no Back button, no retry, and no Restart. A wrong answer simply fails that question and the exam moves on. Your pass/fail score appears only at the very end. Read every option before you commit.
What best distinguishes pure (risk-free) arbitrage from STATISTICAL arbitrage?
Select an answer to continue.
Where this sits on the ladder
Passing this exam closes out the systematic & statistical-arbitrage rung — the point where time-series statistics, factor models, and execution fuse into a single industrial machine for harvesting relative value. From here the ladder climbs into even more specialized quant terrain: the systematic strategies that exploit the same relative-value logic in derivatives and on-chain markets. You now own the core discipline: find a repeatable edge, hedge away everything you can’t predict, size it to its capacity, and never forget that your biggest risk is the crowd standing in the exact same trade.