Quant Analyst Interview Questions
Quant analyst interviews cover applied probability and statistics, derivatives and pricing intuition, and the ability to explain a quantitative result clearly to people who will act on it.
Expect applied probability and statistics rather than heavy theory: distributions, expectation and variance, hypothesis testing and regression, applied to concrete situations. Derivatives and pricing intuition feature strongly - payoffs, the Greeks, put-call parity and no-arbitrage reasoning.
Communication carries real weight in these rounds. A result you cannot explain to a trader or a risk manager is not a useful result, so practise narrating your reasoning and stating your assumptions as you go.
173 questions tagged to Quant Analyst · all free to practise.
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Analyst interviews reward applied fluency and clear explanation:
- 1 immediately before 2EasyProbabilityCombinatoricsView →
- A compound-interest limit in disguiseEasyCalculusView →
- A dice sum divisible by threeEasyProbabilityView →
- A difference of two growing rootsEasyCalculusView →
- A dry weekend, assuming independenceEasyProbabilityView →
- A heart or a king given redEasyProbabilityConditional Probability & ExpectationView →
- A hundred days of compoundingEasyBrainteasersFinance & DerivativesView →
- A mixed second partial derivativeEasyCalculusView →
- A perfect-power dice sumEasyProbabilityCombinatoricsView →
- A repeated digit in the PINEasyProbabilityCombinatoricsView →
- A three given a sum divisible by threeEasyProbabilityConditional Probability & ExpectationView →
- A two-sigma tail probabilityEasyRandom VariablesStatisticsView →
- Adjacent faces on two diceEasyProbabilityView →
- All three land in the same halfEasyProbabilityRandom VariablesView →
- An even palindromeEasyProbabilityCombinatoricsView →
- An integrand with a cornerEasyCalculusView →
- An old man's life in fractionsEasyBrainteasersView →
- Area between a parabola and a lineEasyCalculusView →
- Average after dropping a subgroupEasyStatisticsView →
- Average distance on an intervalEasyRandom VariablesView →
- Average speed over three lapsEasyBrainteasersView →
- BALLOON arrangements bookended by vowelsEasyCombinatoricsView →
- Backing out the correlation from portfolio riskEasyRandom VariablesStatisticsView →
- Bacteria doubling on a clockEasyBrainteasersView →
- Break-even move after a round tripEasyFinance & DerivativesView →
- Butterfly spread maximum profitEasyFinance & DerivativesView →
- Chi-square test for a varianceEasyStatisticsView →
- Codes with exactly one vowelEasyCombinatoricsView →
- Coin count past two sigmaEasyRandom VariablesStatisticsView →
- Committee with both sexesEasyCombinatoricsView →
- Comparing implied vols from two quotesEasyFinance & DerivativesView →
- Correlation from a summed varianceEasyRandom VariablesStatisticsView →
- Correlation of X with X plus YEasyStatisticsView →
- Correlation under rescalingEasyRandom VariablesStatisticsView →
- Counting arithmetic triplesEasyProbabilityCombinatoricsView →
- Counting legs at the meetupEasyBrainteasersView →
- Covariance of a chi-square and a ratioEasyRandom VariablesStatisticsView →
- Distinct-digit numbers using a 7EasyCombinatoricsView →
- Divisible by 2 or 3EasyCombinatoricsView →
- Drawing a matching pair of socksEasyProbabilityCombinatoricsView →
- Even sum bigger than sevenEasyProbabilityView →
- Expected sets for a favored playerEasyProbabilityExpected ValueView →
- Finding the light coinEasyBrainteasersView →
- First success on an even trialEasyRandom VariablesExpected ValueView →
- Hands directly oppositeEasyBrainteasersView →
- How many new hires to lift the averageEasyStatisticsView →
- Landing in the ringEasyProbabilityView →
- Largest possible covarianceEasyRandom VariablesStatisticsView →
- Length of a vector differenceEasyLinear AlgebraView →
- Matching a uniform and an exponentialEasyRandom VariablesStatisticsView →
- Merging two round-robinsEasyCombinatoricsView →
- Net P&L of a two-leg book from DV01EasyFinance & DerivativesView →
- No heads in a random number of flipsEasyProbabilityRandom VariablesView →
- Pairs who swap hatsEasyRandom VariablesExpected ValueView →
- Present value of a deferred growing perpetuityEasyFinance & DerivativesView →
- Product divisible by fourEasyProbabilityView →
- R-squared from the sums of squaresEasyStatisticsView →
- R-squared when you duplicate every pointEasyStatisticsView →
- Rank of a matrix productEasyLinear AlgebraView →
- Rate of change of a triangle's perimeterEasyCalculusView →
- Regressing with zero covarianceEasyRandom VariablesStatisticsView →
- Repeated digit on a plateEasyCombinatoricsView →
- Repricing a bond after a yield jumpEasyFinance & DerivativesView →
- Return speed for a target averageEasyBrainteasersView →
- Sample SD with Bessel's correctionEasyStatisticsView →
- Seating with a gapEasyCombinatoricsView →
- Second moment from varianceEasyRandom VariablesStatisticsView →
- Second roll beats the firstEasyProbabilityView →
- Settlement on a pay-fixed FRAEasyFinance & DerivativesView →
- Sharing your weekday of birthEasyProbabilityView →
- Sharpe of two combined uncorrelated strategiesEasyStatisticsFinance & DerivativesView →
- Shrinking the standard errorEasyStatisticsView →
- Skewness of a Laplace variableEasyRandom VariablesStatisticsView →
- Spread of a two-card sumEasyRandom VariablesStatisticsView →
- Squared payout on even facesEasyRandom VariablesExpected ValueView →
- Standard deviation of a correlated sumEasyRandom VariablesStatisticsView →
- Sum of the OLS coefficientsEasyStatisticsView →
- Summing n plus one over two to the nEasyCalculusView →
- The clock that runs fastEasyBrainteasersView →
- The first die beats the secondEasyProbabilityConditional Probability & ExpectationView →
- The second draw is redEasyProbabilityConditional Probability & ExpectationView →
- Two heads given an even countEasyProbabilityConditional Probability & ExpectationView →
- Upper bound on a dry weekendEasyProbabilityView →
- Valuing a level perpetuityEasyFinance & DerivativesView →
- A CLT tail probabilityMediumStatisticsView →
- A difference of three normalsMediumRandom VariablesStatisticsView →
- A family clustered at a round tableMediumCombinatoricsView →
- A relay team with a feudMediumCombinatoricsView →
- Ants on a stickMediumBrainteasersView →
- Arbitraging a coupon bond against zerosMediumFinance & DerivativesView →
- Average salary, kept privateMediumBrainteasersStatisticsView →
- Back out the market premium, then price a stockMediumStatisticsFinance & DerivativesView →
- Bayes: did it rain?MediumConditional Probability & ExpectationStatisticsView →
- Both even given an even sumMediumProbabilityConditional Probability & ExpectationView →
- Calendar spread intuitionMediumFinance & DerivativesView →
- Clock hands overlapMediumBrainteasersView →
- Common divisors of the squaresMediumProgramming & DSAView →
- Confidence interval with the right pivotMediumStatisticsView →
- Convexity correction signMediumFinance & DerivativesView →
- Correlation of two face-countsMediumProbabilityStatisticsView →
- Covariance from a triangular densityMediumRandom VariablesStatisticsView →
- Definite integral of x e^x on [0,1]MediumCalculusView →
- Delta-hedge a two-leg option bookMediumFinance & DerivativesView →
- Disease test (Bayes)MediumConditional Probability & ExpectationStatisticsView →
- Diversified VaR of two positionsMediumStatisticsFinance & DerivativesView →
- Double integral of x + y over the unit squareMediumCalculusView →
- Duration-plus-convexity price moveMediumFinance & DerivativesView →
- Empirical rule between two scoresMediumStatisticsView →
- Equivalent continuously-compounded rateMediumFinance & DerivativesView →
- Expected sum given both evenMediumConditional Probability & ExpectationExpected ValueView →
- Filling a pool with the drain openMediumBrainteasersView →
- Four distinct birth monthsMediumProbabilityCombinatoricsView →
- Fox, goose, beans crossingMediumBrainteasersView →
- Frog in the wellMediumBrainteasersView →
- How many trials to poll a proportionMediumRandom VariablesStatisticsView →
- Identical balls, no empty boxMediumCombinatoricsView →
- Implicit differentiation on a circleMediumCalculusView →
- Integral by substitution: 2x e^(x^2)MediumCalculusView →
- Joint default rangeMediumProbabilityFinance & DerivativesView →
- Keeping a couple togetherMediumCombinatoricsView →
- Length of a projectionMediumLinear AlgebraView →
- Long-run share of a two-state chainMediumLinear AlgebraView →
- Macaulay duration of a coupon bondMediumFinance & DerivativesView →
- Math books stay togetherMediumCombinatoricsView →
- Maximum variance on an intervalMediumRandom VariablesStatisticsView →
- Mean over variance of a nested uniformMediumProbabilityRandom VariablesView →
- Mean value theorem for x^2MediumCalculusView →
- Minimum-variance portfolio weightMediumStatisticsFinance & DerivativesView →
- OLS slope from four pointsMediumStatisticsView →
- Par swap rate definitionMediumFinance & DerivativesView →
- Paths dodging a closed intersectionMediumCombinatoricsView →
- Poisson thinning: exactly two large ordersMediumRandom VariablesView →
- Pricing a coupon bond off the spot curveMediumFinance & DerivativesView →
- Prime sumMediumProbabilityView →
- Reading an R²MediumStatisticsView →
- Reducing a matrix power with Cayley–HamiltonMediumLinear AlgebraView →
- Regression to the meanMediumBrainteasersStatisticsView →
- Sizing an index-futures hedge in contractsMediumStatisticsFinance & DerivativesView →
- Smallest value of a quadratic formMediumLinear AlgebraView →
- Splitting a merged Poisson totalMediumStochastic ProcessesView →
- Squares on a chessboard, tilted ones includedMediumCombinatoricsBrainteasersView →
- Sum and difference of perfectly correlated variablesMediumRandom VariablesStatisticsView →
- Sum of multiples of 3 or 5MediumBrainteasersView →
- Swapping the regression variablesMediumStatisticsView →
- The German tank problemMediumExpected ValueStatisticsView →
- The cab problemMediumProbabilityConditional Probability & ExpectationView →
- The missing dollarMediumBrainteasersView →
- The painted cubeMediumBrainteasersView →
- The pile that always leaves oneMediumBrainteasersView →
- The profitable range of a short strangleMediumFinance & DerivativesView →
- Three-jug measuringMediumBrainteasersView →
- Two face cardsMediumProbabilityCombinatoricsView →
- Two positive testsMediumProbabilityConditional Probability & ExpectationView →
- Two reds in a row from a shrinking urnMediumProbabilityConditional Probability & ExpectationView →
- Two-sided p-value of a mean testMediumStatisticsView →
- Uncorrelated but dependentMediumRandom VariablesStatisticsView →
- Variance of a compound daily totalMediumRandom VariablesView →
- Variance of a sum drawn without replacementMediumRandom VariablesView →
- Variance of a two-regime returnMediumRandom VariablesStatisticsView →
- Variance of an aggregate Poisson totalMediumRandom VariablesStochastic ProcessesView →
- Variance of coins-per-die headsMediumRandom VariablesStatisticsView →
- Variance of hearts in eight cardsMediumCombinatoricsStatisticsView →
- Variance of the larger of two diceMediumRandom VariablesStatisticsView →
- When a biased estimator winsMediumRandom VariablesStatisticsView →
- When does the system fail to have a unique solution?MediumLinear AlgebraView →
- Which machine made the defect?MediumConditional Probability & ExpectationStatisticsView →
- Whose draw is larger?MediumProbabilityView →
- Why covariance matrices are PSDMediumStatisticsLinear AlgebraView →
- Why divide by n−1?MediumStatisticsView →
- A second red ball from the same urnHardProbabilityConditional Probability & ExpectationView →
- Distinct toys from seven boxesHardProbabilityExpected ValueView →
- Two random subsets that overlapHardProbabilityCombinatoricsView →
- When the extremes sum above oneHardProbabilityRandom VariablesView →
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Frequently asked questions
- What is the difference between a quant analyst and a quant researcher?
- Analyst roles lean applied - using established methods well, on concrete problems, and communicating the result. Research roles lean toward developing methods, with correspondingly deeper theory in the interview.
- How much derivatives knowledge is expected?
- A working intuition for payoffs, the Greeks and no-arbitrage arguments is usually expected. Full pricing theory is rarely required for early rounds, but understanding why a hedge works is.