Quant interview questions
1,322 questions in the style trading and research firms ask, from probability and brainteasers to options, statistics and coding. Every question is open to read; the 50 in the free sample show their worked solutions here.
113 questions · page 1 of 3 · Clear filters
- Two strategies each have a Sharpe ratio of 1 and the same volatility, and their…Market making · Applied
- You have 100 observations and a standard error of 0.4.Statistics and inference · Foundation · Free solution
- You observe 8 successes in 20 trials.Statistics and inference · Foundation
- A strategy averaged 0.05% a day with a daily standard deviation of 1% over 252 days.Statistics and inference · Foundation
- You test 50 signals and want the family-wise error rate at 5%.Statistics and inference · Foundation
- A strategy has a true Sharpe ratio of 0.5.Statistics and inference · Applied
- You test 200 signals with no edge at the 5% level.Statistics and inference · Applied
- An estimator has a bias of 0.2 and a standard deviation of 0.3.Statistics and inference · Applied
- You draw 1,000 bootstrap resamples and sort the statistics.Statistics and inference · Applied
- Your prior on a coin is Beta(2,2) and you observe 7 heads in 10 flips.Statistics and inference · Applied
- Five tests give p-values 0.001,0.008,0.012,0.04,0.2.Statistics and inference · Applied
- You backtest 100 independent strategies, none with any edge, and call one a…Statistics and inference · Applied
- Your prior on a strategy’s alpha is normal with mean 0 and standard deviation 0.5%.Statistics and inference · Applied
- You have screened 5,000 candidate features and want to hand a shortlist to a…Statistics and inference · Advanced
- You estimate the expected returns of 50 assets from their sample means.Statistics and inference · Advanced
- A stock has 30% volatility, the index 15%, and their correlation is 0.6.Regression and econometrics · Foundation · Free solution
- A regression has a total sum of squares of 200 and a residual sum of squares of 50.Regression and econometrics · Foundation
- You regress y on x and get a slope of 2.Regression and econometrics · Applied
- The tallest fathers tend to have sons shorter than themselves. What does this show?Regression and econometrics · Applied
- You regress fund returns on manager tenure and get a positive coefficient.Regression and econometrics · Applied
- Regressing x₁ on the other regressors gives R² = 0.9.Regression and econometrics · Applied
- With orthonormal regressors, the OLS coefficient is 2 and the ridge penalty is λ = 3.Regression and econometrics · Applied
- Which assumption is essential for the OLS coefficients to be unbiased?Regression and econometrics · Applied
- The true model is y = x₁+2x₂+ε.Regression and econometrics · Applied
- In a panel of firms over many years, what does adding firm fixed effects to a…Regression and econometrics · Applied
- With orthonormal regressors, the lasso minimising…Regression and econometrics · Applied
- With highly collinear regressors, ridge regression often predicts better out of…Regression and econometrics · Applied
- By the Frisch–Waugh–Lovell theorem, what does the coefficient on x₁ in a…Regression and econometrics · Advanced
- An instrument Z has Cov(Z,Y) = 0.6 and Cov(Z,X) = 0.4.Regression and econometrics · Advanced
- You average 1,000 observations from an AR(1) process with autocorrelation 0.5.Regression and econometrics · Advanced
- Your labels are each asset’s return over the next 10 trading days.Time series · Foundation
- You regress one stock’s price on another’s and get R² = 0.95 with a t-statistic of 40.Time series · Applied · Free solution
- Daily equity returns show almost no autocorrelation, but their squares show a lot.Time series · Applied
- Daily returns have first-order autocorrelation 0.1 and none beyond.Time series · Applied
- Daily returns have volatility 1% and first-order autocorrelation −0.1.Time series · Applied
- Out of sample, your return forecast has mean squared error 0.98 while the…Time series · Applied
- Two stocks have a return correlation of 0.9. Does that make them a good pairs trade?Time series · Advanced
- You compute twelve-month returns every month over ten years and test whether…Time series · Advanced
- Under a normal distribution, roughly how many trading days pass between moves…Time series · Advanced
- You have five price series and suspect more than one cointegrating relationship.Time series · Advanced