Medium Hedge Fund Quant Interview Questions
The level most hedge fund quant questions actually land at.
191 questions, all free to practise. The topics that come up most are probability (42), statistics (41), combinatorics (33), random variables (27).
- 25 horses, 5 tracksMediumBrainteasersView →
- A Gram–Schmidt R entryMediumLinear AlgebraView →
- A difference of three normalsMediumRandom VariablesStatisticsView →
- A limit via the cosine seriesMediumCalculusView →
- A mean-reverting processMediumStochastic ProcessesFinance & DerivativesView →
- A relay team with a feudMediumCombinatoricsView →
- A tenth power of a matrixMediumLinear AlgebraView →
- A two-step transitionMediumStochastic ProcessesView →
- Absorption probability on a lineMediumProbabilityStochastic ProcessesView →
- Aces in a seven-card handMediumCombinatoricsExpected ValueView →
- Adults before the busMediumBrainteasersView →
- Adverse selection in quotingMediumMarket Making & Betting GamesView →
- Age a fraction of the birth yearMediumBrainteasersView →
- All six faces (coupon collector)MediumRandom VariablesExpected ValueView →
- An ace in the handMediumProbabilityCombinatoricsView →
- Anagrams of LOLLIPOPMediumCombinatoricsView →
- Arbitraging a coupon bond against zerosMediumFinance & DerivativesView →
- At least two sixes in five rollsMediumProbabilityRandom VariablesView →
- Average salary, kept privateMediumBrainteasersStatisticsView →
- Back out the market premium, then price a stockMediumStatisticsFinance & DerivativesView →
- Backing out a correlationMediumRandom VariablesStatisticsView →
- Bayes: did it rain?MediumConditional Probability & ExpectationStatisticsView →
- Bertrand's boxMediumProbabilityConditional Probability & ExpectationView →
- Binary search on 1000: the worst caseMediumProgramming & DSAView →
- By parts over an infinite tailMediumCalculusView →
- Cheapest open-top boxMediumCalculusView →
- Classify critical points of x^3 - 3xMediumCalculusView →
- CompositionsMediumCombinatoricsView →
- Condition numberMediumLinear AlgebraView →
- Conditional mean on a circleMediumConditional Probability & ExpectationRandom VariablesView →
- Conditioning Brownian motion on its futureMediumStochastic ProcessesView →
- Confidence interval with the right pivotMediumStatisticsView →
- Conversion arbitrage from a parity violationMediumFinance & DerivativesView →
- Convexity correction signMediumFinance & DerivativesView →
- Correlation of two face-countsMediumProbabilityStatisticsView →
- Counting straightsMediumProbabilityCombinatoricsView →
- Covariance from a triangular densityMediumRandom VariablesStatisticsView →
- Covariance of a Poisson processMediumStochastic ProcessesView →
- Density of a uniform squaredMediumRandom VariablesCalculusView →
- Detect a cycle in a linked listMediumProgramming & DSAView →
- Determinant of a 3×3MediumLinear AlgebraView →
- Determinant of a compound expressionMediumLinear AlgebraView →
- Determinant of an orthogonal matrixMediumLinear AlgebraView →
- Dice game, up to three rollsMediumExpected ValueStochastic ProcessesView →
- Disease test (Bayes)MediumConditional Probability & ExpectationStatisticsView →
- Distinct birthdays representedMediumProbabilityExpected ValueView →
- Distinct die labelingsMediumCombinatoricsBrainteasersView →
- Diversified VaR of two positionsMediumStatisticsFinance & DerivativesView →
- Duration-plus-convexity price moveMediumFinance & DerivativesView →
- E[X | X > 0] for a standard normalMediumStatisticsCalculusView →
- Eigenvalues of a rotationMediumLinear AlgebraView →
- Exact comparisons for min and maxMediumProgramming & DSAView →
- Expectation as a sum of tailsMediumRandom VariablesExpected ValueView →
- Expected absolute difference of two diceMediumExpected ValueView →
- Expected duration of a fair gameMediumExpected ValueStochastic ProcessesView →
- Expected flips for HHMediumRandom VariablesExpected ValueView →
- Expected rolls for two sixes in a rowMediumExpected ValueStochastic ProcessesView →
- Expected square of a random unit complex numberMediumProbabilityRandom VariablesView →
- Expected sum given both evenMediumConditional Probability & ExpectationExpected ValueView →
- Finite-difference stabilityMediumFinance & DerivativesProgramming & DSAView →
- First to roll a sixMediumProbabilityView →
- Five distinct ranksMediumProbabilityCombinatoricsView →
- Four points on a semicircleMediumProbabilityView →
- Four times as long to the first headMediumProbabilityRandom VariablesView →
- Fourth moment of a shifted normalMediumProbabilityRandom VariablesView →
- Gambler's ruin (unfair)MediumProbabilityStochastic ProcessesView →
- Gamma and rehedging P&LMediumFinance & DerivativesView →
- Gap between two uniformsMediumExpected ValueStatisticsView →
- Growth rate of a rank-one eigenvalueMediumLinear AlgebraView →
- Guess 2/3 of the averageMediumMarket Making & Betting GamesView →
- How explosive is naive Fibonacci?MediumProgramming & DSAView →
- How fast is the balloon growing?MediumCalculusView →
- How large can the off-diagonal be?MediumLinear AlgebraView →
- How much a control variate helpsMediumFinance & DerivativesProgramming & DSAView →
- Identical balls, no empty boxMediumCombinatoricsView →
- In-place array rotationMediumProgramming & DSAView →
- Is W(t)³ a martingale?MediumStochastic ProcessesView →
- Is the random walk squared a martingale?MediumExpected ValueStochastic ProcessesView →
- Joint default rangeMediumProbabilityFinance & DerivativesView →
- Keeping two apartMediumCombinatoricsView →
- Largest eigenvalue of a rank-one updateMediumLinear AlgebraView →
- Last two digits of a powerMediumCombinatoricsBrainteasersView →
- Lattice paths in 3DMediumCombinatoricsView →
- Law of total varianceMediumConditional Probability & ExpectationExpected ValueView →
- Markov with a floorMediumStatisticsView →
- Max rectangle under a parabolaMediumCalculusView →
- Maximize x + y on the unit circleMediumLinear AlgebraCalculusView →
- Maximize xyz on a planeMediumCalculusView →
- Maximum of x^(1/x)MediumCalculusView →
- Maximum rate of increaseMediumLinear AlgebraCalculusView →
- Maximum variance on an intervalMediumRandom VariablesStatisticsView →
- Mean over variance of a nested uniformMediumProbabilityRandom VariablesView →
- Minimum of two exponentialsMediumProbabilityRandom VariablesView →
- Minimum-variance portfolio weightMediumStatisticsFinance & DerivativesView →
- Minimum-variance weightsMediumStatisticsFinance & DerivativesView →
- Monty HallMediumProbabilityConditional Probability & ExpectationView →
- Monty Hall with 100 doorsMediumProbabilityConditional Probability & ExpectationView →
- No two evens adjacentMediumCombinatoricsView →
- No two heads in a rowMediumProbabilityCombinatoricsView →
- No-arbitrage call boundsMediumFinance & DerivativesView →
- Norm of a doubly-stochastic stationary vectorMediumLinear AlgebraStochastic ProcessesView →
- Nullity of a concrete matrixMediumLinear AlgebraView →
- Number of runsMediumExpected ValueView →
- OLS slope from four pointsMediumStatisticsView →
- Odd multiples of threeMediumCombinatoricsBrainteasersView →
- Odd solutions to a sumMediumCombinatoricsView →
- One hundred animals for a thousand dollarsMediumBrainteasersView →
- One random subset inside anotherMediumProbabilityCombinatoricsView →
- Painted cube, one face showingMediumProbabilityBrainteasersView →
- Par swap rate definitionMediumFinance & DerivativesView →
- Placing operators among digitsMediumCombinatoricsView →
- Poisson thinning: exactly two large ordersMediumRandom VariablesView →
- Position of the first spadeMediumCombinatoricsExpected ValueView →
- Positive semidefinitenessMediumStatisticsLinear AlgebraView →
- Power iterationMediumLinear AlgebraProgramming & DSAView →
- Pricing a digital from a call spreadMediumFinance & DerivativesView →
- Pricing a squared payoffMediumExpected ValueMarket Making & Betting GamesView →
- Probability of three of a kindMediumProbabilityCombinatoricsView →
- Projecting onto a lineMediumLinear AlgebraView →
- Put–call parity with a dividendMediumFinance & DerivativesView →
- Quickselect average complexityMediumProgramming & DSAView →
- Quicksort's worst case, countedMediumProgramming & DSAView →
- Rank–nullity dimension countMediumLinear AlgebraView →
- Reaching the target before ruinMediumStochastic ProcessesView →
- Reading an R²MediumStatisticsView →
- Recovering an eigenvector from its eigenvalueMediumLinear AlgebraView →
- Regions from ten linesMediumCombinatoricsBrainteasersView →
- Rehedging a book after a moveMediumFinance & DerivativesView →
- Russian roulette, re-spunMediumProbabilityConditional Probability & ExpectationView →
- Screening a rare diseaseMediumConditional Probability & ExpectationStatisticsView →
- Second moment via the MGFMediumRandom VariablesCalculusView →
- Short-rate modelsMediumStochastic ProcessesFinance & DerivativesView →
- Sift-up swaps in a binary heapMediumProgramming & DSAView →
- Singular values via AᵀAMediumLinear AlgebraView →
- Sizing an index-futures hedge in contractsMediumStatisticsFinance & DerivativesView →
- Smallest simulable probabilityMediumProbabilityBrainteasersView →
- Spam filterMediumProbabilityConditional Probability & ExpectationView →
- Spectrum of a constant-diagonal matrixMediumLinear AlgebraView →
- Spectrum of a symmetric matrixMediumStatisticsLinear AlgebraView →
- Stationary distribution of a two-state chainMediumProbabilityStochastic ProcessesView →
- Subsets with no neighborsMediumCombinatoricsView →
- Sum and difference of perfectly correlated variablesMediumRandom VariablesStatisticsView →
- Sum of multinomial coefficientsMediumCombinatoricsView →
- Sum of squared standard normalsMediumRandom VariablesStatisticsView →
- Summing digits to a millionMediumCombinatoricsBrainteasersView →
- Swapping the regression variablesMediumStatisticsView →
- Ten dice, sum divisible by sixMediumProbabilityCombinatoricsView →
- Terms in a multinomial expansionMediumCombinatoricsView →
- The German tank problemMediumExpected ValueStatisticsView →
- The SDE of the reciprocalMediumStochastic ProcessesView →
- The cab problemMediumProbabilityConditional Probability & ExpectationView →
- The die that makes sums uniformMediumProbabilityCombinatoricsView →
- The first component to failMediumRandom VariablesView →
- The half-full nodeMediumProgramming & DSAView →
- The probability integral transformMediumRandom VariablesStatisticsView →
- The profitable range of a short strangleMediumFinance & DerivativesView →
- The two black aces, side by sideMediumProbabilityCombinatoricsView →
- The two-headed coinMediumProbabilityConditional Probability & ExpectationView →
- The winner's curse in a bid warMediumMarket Making & Betting GamesView →
- Three mislabeled jarsMediumBrainteasersView →
- Three unlabeled teamsMediumCombinatoricsView →
- Three-four-five in Pascal's triangleMediumCombinatoricsBrainteasersView →
- Trailing zeros of 100!MediumCombinatoricsView →
- Tuning an exponential random walkMediumProbabilityStochastic ProcessesView →
- Two face cardsMediumProbabilityCombinatoricsView →
- Two positive testsMediumProbabilityConditional Probability & ExpectationView →
- Two trains and a flyMediumBrainteasersView →
- Uncorrelated but dependentMediumRandom VariablesStatisticsView →
- Units digit of a random powerMediumProbabilityCombinatoricsView →
- Variance explained by a regressionMediumStatisticsLinear AlgebraView →
- Variance of a Brownian combinationMediumStochastic ProcessesView →
- Variance of a squared normalMediumRandom VariablesStatisticsView →
- Variance of a stochastic integralMediumProbabilityStochastic ProcessesView →
- Variance of a time-weighted Itô integralMediumCalculusStochastic ProcessesView →
- Variance of a two-regime returnMediumRandom VariablesStatisticsView →
- Variance of integrated Brownian motionMediumStochastic ProcessesView →
- Variance of the larger of two diceMediumRandom VariablesStatisticsView →
- Variance-minimizing hedgeMediumProbabilityStatisticsView →
- Volume of revolution of sqrt(x)MediumCalculusView →
- Weighing 1 to 40MediumBrainteasersView →
- What 'unbiased' meansMediumStatisticsView →
- What a p-value isMediumStatisticsView →
- Which coin produced two heads?MediumProbabilityConditional Probability & ExpectationView →
- Which desk books the larger dayMediumRandom VariablesStatisticsView →
- 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 →
- Will they meet?MediumProbabilityView →
- X positive given the sum is positiveMediumProbabilityRandom VariablesView →
- x^4 coefficient of a composed seriesMediumCalculusView →
Widen the search
This set is a slice of a larger one. If it is too narrow, start here instead:
Practise these free
Create a free account to check your answers, track what you have solved, and run the timed simulators.