Quant case studies, worked step by step

Cases
100
Traced to a firm
43
Topics
11
Hard
30
Topic
All topicsSignal research and data tasks10Options and volatility trading10Market-making games14Portfolio construction10Strategy evaluation and backtests9Execution and market microstructure8Fixed income and credit8Regression and model review8Risk measurement and limits9Statistical arbitrage and event trades8Position sizing and bankroll6
Level
AnyWarm upCoreHard
Source
AnyReported at a firmStandard
Showing 11–20 of 100
  1. 011A signal wins 56% of 200 even-payoff trades. What is the Kelly stake on the point estimate, what is the 95% interval for the win rate, and what stake would you actually run?Position sizing and bankrollHardQuant tradingSystematic hedge funds
  2. 012In a take-home, a stock's monthly returns are regressed on a factor over 60 months, but one month shows a data error of +250%. Compare the slope with and without it, winsorising at the 1st and 99th percentiles against deleting, and choose.Signal research and data tasksCoreBalyasny Asset ManagementNew York · 2024
  3. 013An equally weighted index of ten stocks has implied volatility 18% while each member's implied is 30%. Compute the implied correlation and the sign of P&L for selling index volatility and buying member volatility if realised correlation is 0.25.Options and volatility tradingHardOptions market makingQuant research
  4. 014A contract settles at a die roll, doubled if a coin lands heads, plus 5 if a drawn card is red. Quote it, then decide whether to trade with a bot showing 9.5 bid, 10.5 offer, and whether to make or take.Market-making gamesHardOptiverAustin · 2025
  5. 015A fund holds Rs 50 crore of stocks with a portfolio beta of 1.3 and wants to be market neutral with index futures. How much notional should it short, and what risk remains?Portfolio constructionWarm upSystematic hedge fundsPortfolio construction
  6. 016A book has a Sharpe ratio of 1.0. A candidate strategy has a Sharpe of 0.8 and correlation 0.3 with the book. What is the Sharpe of the best combination, and does the weaker strategy earn a place?Strategy evaluation and backtestsCoreSystematic hedge fundsQuant research
  7. 017A strategy earns 25 bps gross per trade in stocks with Rs 40 crore daily volume and 2% daily volatility, with impact equal to volatility times the square root of participation. Compare running it with Rs 10 crore and with Rs 1,000 crore.Execution and market microstructureHardScotiabankToronto · 2025
  8. 018Pitch a 10-year trade: size a DV01-neutral 2s10s steepener against Rs 100 crore of 2-year bonds, with DV01s of Rs 1,900 and Rs 7,000 per crore, and compute the P&L if the curve steepens 20 bps with a 10 bps parallel rise.Fixed income and creditCoreBank of AmericaLondon · 2025
  9. 019A signal's slope is 0.12 with an OLS standard error of 0.05, a t of 2.4, but the heteroskedasticity-robust standard error is 0.08. Recompute significance, say which to trust, and explain why the errors grow in volatile months.Regression and model reviewCoreQuant researchSystematic hedge funds
  10. 020A Rs 500 crore equity fund has daily volatility of 1.1%. Compute the one-day 99% VaR, the ten-day VaR by the square-root-of-time rule and the monthly VaR, then explain how daily autocorrelation of 0.2 breaks the scaling.Risk measurement and limitsWarm upAQR Capital ManagementGreenwich · 2022

Company names and figures are illustrative.