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 81–90 of 100
  1. 081Palashvan reports a monthly Sharpe ratio of 0.35, annualised to 1.21 with the square root of 12, but its monthly returns have a lag-one autocorrelation of 0.4 because illiquid positions are marked slowly. What is the corrected annual Sharpe, and what does the smoothing hide?Strategy evaluation and backtestsHardSystematic hedge fundsRisk quant
  2. 082Kovidam Steel trades at Rs 1,000 and its 30-day future at Rs 1,012. Funding costs 7% a year and no dividend is due. What is the fair futures price, what is the arbitrage, and what does it earn a year?Statistical arbitrage and event tradesWarm upSystematic hedge fundsQuant trading
  3. 083A customer buys 500 one-month at-the-money index calls from Mayurika at Rs 12 (delta 0.5, gamma 0.013 per rupee, vega Rs 1.1 per vol point, per unit of index). Mayurika hedges the delta; then the index jumps Rs 10 and implied volatility rises 2 points. What is the P&L, and what is the new hedge?Options and volatility tradingCoreOld Mission CapitalChicago · 2020
  4. 084Regressed on the market alone, Suryamandal's fund shows alpha of 0.8% a month (t = 2.9). Adding size and value factors gives alpha of 0.35% (t = 1.4), with loadings of 0.95 on the market, 0.6 on size and 0.4 on value. Where did the alpha go, and what does the fund really deliver?Regression and model reviewCoreState StreetCambridge · 2019
  5. 085Arohavi decided to buy 1 lakh shares at Rs 500. The order reached the market at Rs 502, 80% filled at an average of Rs 506, and the stock closed at Rs 515 with the rest unfilled. Decompose the implementation shortfall into delay, execution and opportunity costs.Execution and market microstructureCoreExecution and microstructureSystematic hedge funds
  6. 086Tamrisk's market-making book has a one-day 99% VaR budget of Rs 30 lakh, and the contract moves with a daily standard deviation of Rs 1,500 per lot. What is the maximum inventory, and how should the quotes skew as inventory approaches it?Position sizing and bankrollCoreOptions market makingRisk quant
  7. 087Aviratam holds two positions of Rs 50 crore each, with annual volatilities of 20% and 25%. What are the portfolio volatility and one-day 99% VaR at the modelled correlation of -0.3, and at a crisis correlation of +0.8?Risk measurement and limitsWarm upRisk quantPortfolio construction
  8. 088The interviewer asks for a market on the maximum of four fair dice, then lifts your offer twice in a row at 5.4. What is the contract worth, how wide should the market be given its skewed distribution, and how do you requote?Market-making gamesCoreOptiverSan Francisco · 2026
  9. 089Parvanta asks you to design the train, validation and test split for eight years of daily data with 20-day forward-return labels. How many days must be purged and embargoed around each boundary, and how many walk-forward folds with one-year test windows remain?Signal research and data tasksCoreOptiverSan Francisco · 2026
  10. 090Sthiram's two assets have expected returns of 8% and 8.5%, volatilities of 15% and 16%, and correlation 0.9. Show how a half-point change in one expected return swings the mean-variance weights, and propose a fix.Portfolio constructionHardPortfolio constructionQuant research

Company names and figures are illustrative.