Medium Hedge Fund Quant Interview Questions
The level most hedge fund quant questions actually land at.
191 questions, 87 of them free to practise right now. The topics that come up most are statistics (41), probability (41), combinatorics (33), random variables (27).
- 25 horses, 5 tracksMediumBrainteasersView →
- A Gram–Schmidt R entryMediumLinear AlgebraView →
- A difference of three normalsMediumRandom VariablesStatisticsView →
- A tenth power of a matrixMediumLinear AlgebraView →
- Adults before the busMediumBrainteasersView →
- Age a fraction of the birth yearMediumBrainteasersView →
- All six faces (coupon collector)MediumRandom VariablesExpected ValueView →
- Anagrams of LOLLIPOPMediumCombinatoricsView →
- Arbitraging a coupon bond against zerosMediumFinance & DerivativesView →
- Average salary, kept privateMediumBrainteasersStatisticsView →
- Bayes: did it rain?MediumConditional Probability & ExpectationStatisticsView →
- Bertrand's boxMediumProbabilityConditional Probability & ExpectationView →
- Conditional mean on a circleMediumConditional Probability & ExpectationRandom VariablesView →
- Correlation of two face-countsMediumProbabilityStatisticsView →
- Covariance from a triangular densityMediumRandom VariablesStatisticsView →
- Covariance of a Poisson processMediumStochastic ProcessesView →
- Density of a uniform squaredMediumRandom VariablesCalculusView →
- Dice game, up to three rollsMediumExpected ValueStochastic ProcessesView →
- Disease test (Bayes)MediumConditional Probability & ExpectationStatisticsView →
- Distinct die labelingsMediumCombinatoricsBrainteasersView →
- 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 flips for HHMediumRandom VariablesExpected ValueView →
- Expected square of a random unit complex numberMediumProbabilityRandom VariablesView →
- Four points on a semicircleMediumProbabilityView →
- Four times as long to the first headMediumProbabilityRandom VariablesView →
- Gambler's ruin (unfair)MediumProbabilityStochastic ProcessesView →
- Growth rate of a rank-one eigenvalueMediumLinear AlgebraView →
- Guess 2/3 of the averageMediumMarket Making & Betting GamesView →
- How large can the off-diagonal be?MediumLinear AlgebraView →
- How much a control variate helpsMediumFinance & DerivativesProgramming & DSAView →
- Is W(t)³ a martingale?MediumStochastic ProcessesView →
- Keeping two apartMediumCombinatoricsView →
- Largest eigenvalue of a rank-one updateMediumLinear AlgebraView →
- Lattice paths in 3DMediumCombinatoricsView →
- Maximize xyz on a planeMediumCalculusView →
- Maximum of x^(1/x)MediumCalculusView →
- Maximum variance on an intervalMediumRandom VariablesStatisticsView →
- Mean over variance of a nested uniformMediumProbabilityRandom VariablesView →
- Minimum of two exponentialsMediumProbabilityRandom VariablesView →
- Minimum-variance weightsMediumStatisticsFinance & DerivativesView →
- Monty HallMediumProbabilityConditional Probability & ExpectationView →
- No two evens adjacentMediumCombinatoricsView →
- Norm of a doubly-stochastic stationary vectorMediumLinear AlgebraStochastic ProcessesView →
- 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 →
- Placing operators among digitsMediumCombinatoricsView →
- Pricing a digital from a call spreadMediumFinance & DerivativesView →
- Probability of three of a kindMediumProbabilityCombinatoricsView →
- Put–call parity with a dividendMediumFinance & DerivativesView →
- Quicksort's worst case, countedMediumProgramming & DSAView →
- Regions from ten linesMediumCombinatoricsBrainteasersView →
- Rehedging a book after a moveMediumFinance & DerivativesView →
- Russian roulette, re-spunMediumProbabilityConditional Probability & ExpectationView →
- Smallest simulable probabilityMediumProbabilityBrainteasersView →
- Spectrum of a constant-diagonal matrixMediumLinear AlgebraView →
- Spectrum of a symmetric matrixMediumStatisticsLinear AlgebraView →
- Sum and difference of perfectly correlated variablesMediumRandom VariablesStatisticsView →
- Sum of multinomial coefficientsMediumCombinatoricsView →
- 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 die that makes sums uniformMediumProbabilityCombinatoricsView →
- The profitable range of a short strangleMediumFinance & DerivativesView →
- The two-headed coinMediumProbabilityConditional Probability & ExpectationView →
- Three-four-five in Pascal's triangleMediumCombinatoricsBrainteasersView →
- Trailing zeros of 100!MediumCombinatoricsView →
- Tuning an exponential random walkMediumProbabilityStochastic ProcessesView →
- Uncorrelated but dependentMediumRandom VariablesStatisticsView →
- Units digit of a random powerMediumProbabilityCombinatoricsView →
- Variance of a Brownian combinationMediumStochastic ProcessesView →
- Variance of a time-weighted Itô integralMediumCalculusStochastic ProcessesView →
- Variance of integrated Brownian motionMediumStochastic ProcessesView →
- Variance of the larger of two diceMediumRandom VariablesStatisticsView →
- Whose draw is larger?MediumProbabilityView →
- Why divide by n−1?MediumStatisticsView →
- Will they meet?MediumProbabilityView →
- X positive given the sum is positiveMediumProbabilityRandom VariablesView →
- A limit via the cosine seriesMediumCalculus Premium
- A mean-reverting processMediumStochastic ProcessesFinance & Derivatives Premium
- A relay team with a feudMediumCombinatorics Premium
- A two-step transitionMediumStochastic Processes Premium
- Absorption probability on a lineMediumProbabilityStochastic Processes Premium
- Aces in a seven-card handMediumCombinatoricsExpected Value Premium
- Adverse selection in quotingMediumMarket Making & Betting Games Premium
- An ace in the handMediumProbabilityCombinatorics Premium
- At least two sixes in five rollsMediumProbabilityRandom Variables Premium
- Back out the market premium, then price a stockMediumStatisticsFinance & Derivatives Premium
- Backing out a correlationMediumRandom VariablesStatistics Premium
- By parts over an infinite tailMediumCalculus Premium
- Cheapest open-top boxMediumCalculus Premium
- Classify critical points of x^3 - 3xMediumCalculus Premium
- CompositionsMediumCombinatorics Premium
- Condition numberMediumLinear Algebra Premium
- Conditioning Brownian motion on its futureMediumStochastic Processes Premium
- Confidence interval with the right pivotMediumStatistics Premium
- Conversion arbitrage from a parity violationMediumFinance & Derivatives Premium
- Convexity correction signMediumFinance & Derivatives Premium
- Counting straightsMediumProbabilityCombinatorics Premium
- Cutting a cubeMediumBrainteasers Premium
- Detect a cycle in a linked listMediumProgramming & DSA Premium
- Determinant of a 3×3MediumLinear Algebra Premium
- Determinant of a compound expressionMediumLinear Algebra Premium
- Determinant of an orthogonal matrixMediumLinear Algebra Premium
- Distinct birthdays representedMediumProbabilityExpected Value Premium
- Diversified VaR of two positionsMediumStatisticsFinance & Derivatives Premium
- Duration-plus-convexity price moveMediumFinance & Derivatives Premium
- Expected absolute difference of two diceMediumExpected Value Premium
- Expected duration of a fair gameMediumExpected ValueStochastic Processes Premium
- Expected rolls for two sixes in a rowMediumExpected ValueStochastic Processes Premium
- Expected sum given both evenMediumConditional Probability & ExpectationExpected Value Premium
- Finite-difference stabilityMediumFinance & DerivativesProgramming & DSA Premium
- First to roll a sixMediumProbability Premium
- Five distinct ranksMediumProbabilityCombinatorics Premium
- Fourth moment of a shifted normalMediumProbabilityRandom Variables Premium
- Gamma and rehedging P&LMediumFinance & Derivatives Premium
- Gap between two uniformsMediumExpected ValueStatistics Premium
- How explosive is naive Fibonacci?MediumProgramming & DSA Premium
- How fast is the balloon growing?MediumCalculus Premium
- Identical balls, no empty boxMediumCombinatorics Premium
- In-place array rotationMediumProgramming & DSA Premium
- Is the random walk squared a martingale?MediumExpected ValueStochastic Processes Premium
- Joint default rangeMediumProbabilityFinance & Derivatives Premium
- Last two digits of a powerMediumCombinatoricsBrainteasers Premium
- Law of total varianceMediumConditional Probability & ExpectationExpected Value Premium
- Markov with a floorMediumStatistics Premium
- Max rectangle under a parabolaMediumCalculus Premium
- Maximize x + y on the unit circleMediumLinear AlgebraCalculus Premium
- Maximum rate of increaseMediumLinear AlgebraCalculus Premium
- Minimum-variance portfolio weightMediumStatisticsFinance & Derivatives Premium
- Monty Hall with 100 doorsMediumProbabilityConditional Probability & Expectation Premium
- No two heads in a rowMediumProbabilityCombinatorics Premium
- No-arbitrage call boundsMediumFinance & Derivatives Premium
- Nullity of a concrete matrixMediumLinear Algebra Premium
- Par swap rate definitionMediumFinance & Derivatives Premium
- Poisson thinning: exactly two large ordersMediumRandom Variables Premium
- Position of the first spadeMediumCombinatoricsExpected Value Premium
- Positive semidefinitenessMediumStatisticsLinear Algebra Premium
- Power iterationMediumLinear AlgebraProgramming & DSA Premium
- Pricing a squared payoffMediumExpected ValueMarket Making & Betting Games Premium
- Projecting onto a lineMediumLinear Algebra Premium
- Quickselect average complexityMediumProgramming & DSA Premium
- Rank–nullity dimension countMediumLinear Algebra Premium
- Reaching the target before ruinMediumStochastic Processes Premium
- Reading an R²MediumStatistics Premium
- Recovering an eigenvector from its eigenvalueMediumLinear Algebra Premium
- Screening a rare diseaseMediumConditional Probability & ExpectationStatistics Premium
- Second moment via the MGFMediumRandom VariablesCalculus Premium
- Short-rate modelsMediumStochastic ProcessesFinance & Derivatives Premium
- Sift-up swaps in a binary heapMediumProgramming & DSA Premium
- Singular values via AᵀAMediumLinear Algebra Premium
- Sizing an index-futures hedge in contractsMediumStatisticsFinance & Derivatives Premium
- Spam filterMediumProbabilityConditional Probability & Expectation Premium
- Stationary distribution of a two-state chainMediumProbabilityStochastic Processes Premium
- Subsets with no neighborsMediumCombinatorics Premium
- Sum of squared standard normalsMediumRandom VariablesStatistics Premium
- The cab problemMediumProbabilityConditional Probability & Expectation Premium
- The first component to failMediumRandom Variables Premium
- The half-full nodeMediumProgramming & DSA Premium
- The probability integral transformMediumRandom VariablesStatistics Premium
- The two black aces, side by sideMediumProbabilityCombinatorics Premium
- The winner's curse in a bid warMediumMarket Making & Betting Games Premium
- Three mislabeled jarsMediumBrainteasers Premium
- Three unlabeled teamsMediumCombinatorics Premium
- Two eggs, one hundred floorsMediumProgramming & DSA Premium
- Two face cardsMediumProbabilityCombinatorics Premium
- Two positive testsMediumProbabilityConditional Probability & Expectation Premium
- Two trains and a flyMediumBrainteasers Premium
- Variance explained by a regressionMediumStatisticsLinear Algebra Premium
- Variance of a squared normalMediumRandom VariablesStatistics Premium
- Variance of a stochastic integralMediumProbabilityStochastic Processes Premium
- Variance of a two-regime returnMediumRandom VariablesStatistics Premium
- Variance-minimizing hedgeMediumProbabilityStatistics Premium
- Volume of revolution of sqrt(x)MediumCalculus Premium
- Weighing 1 to 40MediumBrainteasers Premium
- What 'unbiased' meansMediumStatistics Premium
- What a p-value isMediumStatistics Premium
- Which coin produced two heads?MediumProbabilityConditional Probability & Expectation Premium
- Which desk books the larger dayMediumRandom VariablesStatistics Premium
- Which machine made the defect?MediumConditional Probability & ExpectationStatistics Premium
- Why covariance matrices are PSDMediumStatisticsLinear Algebra Premium
- x^4 coefficient of a composed seriesMediumCalculus Premium
Widen the search
This set is a slice of two larger ones. 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. Premium unlocks a full worked solution for every question.