Quant Researcher Interview Questions
Quant researcher interviews go deeper than trading rounds on statistics, distributions and stochastic processes, and add open-ended problems where you reason about data and defend a model.
Expect rigorous probability and statistics: estimators and their properties, distributions and their tails, conditional expectation, regression and inference, and stochastic processes such as random walks, Markov chains and martingales. Derivations matter, and being able to justify a step matters more than recalling a result.
Alongside that, expect open-ended, data-driven problems - often on a provided dataset - plus coding, commonly in Python. The work in these roles ranges from simple statistics through to machine learning, so breadth and first-principles reasoning are both assessed.
725 questions tagged to Quant Researcher · all free to practise.
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Research interviews reward depth and rigour. Target them with:
- A coin that branches into a dieEasyCombinatoricsExpected ValueView →
- A die with one face decrementedEasyProbabilityConditional Probability & ExpectationView →
- A divisor of a power of tenEasyProbabilityCombinatoricsView →
- A factorial ratio that's a factorialEasyBrainteasersView →
- A guest list with a feudEasyCombinatoricsView →
- A limit that hides a difference of logsEasyCalculusView →
- A mile with no windEasyBrainteasersView →
- A mixed second partial derivativeEasyCalculusView →
- A multiple of 15 in ones and zerosEasyBrainteasersView →
- A race between two small-angle ratesEasyCalculusView →
- A ratio of Fibonacci sumsEasyBrainteasersView →
- A root of a product plus oneEasyBrainteasersView →
- A specific sequence given three headsEasyProbabilityConditional Probability & ExpectationView →
- A sum of four before a sum of twoEasyProbabilityView →
- A sum of three cubesEasyBrainteasersView →
- A two-sigma tail probabilityEasyRandom VariablesStatisticsView →
- Age in a square yearEasyBrainteasersView →
- All four aces before any kingEasyProbabilityCombinatoricsView →
- All the squares on a chessboardEasyCombinatoricsBrainteasersView →
- American early exerciseEasyFinance & DerivativesView →
- An alternating sum of squaresEasyBrainteasersView →
- An infinite nested radicalEasyBrainteasersView →
- An odd subset with two small elementsEasyCombinatoricsView →
- Angle under an orthogonal mapEasyLinear AlgebraView →
- Arranging colored balls in a lineEasyCombinatoricsView →
- At least one blue and one greenEasyProbabilityCombinatoricsView →
- Average distance on an intervalEasyRandom VariablesView →
- Backing out the correlation from portfolio riskEasyRandom VariablesStatisticsView →
- Beating a product of uniformsEasyProbabilityRandom VariablesView →
- Beating three othersEasyProbabilityRandom VariablesView →
- Break-even move after a round tripEasyFinance & DerivativesView →
- Chebyshev on a concrete intervalEasyStatisticsView →
- Chi-square test for a varianceEasyStatisticsView →
- Clock angle at 3:15EasyBrainteasersView →
- Coin rolling around a coinEasyBrainteasersView →
- Color switches in a drawEasyRandom VariablesExpected ValueView →
- Correlation from a summed varianceEasyRandom VariablesStatisticsView →
- Correlation of two event indicatorsEasyProbabilityStatisticsView →
- Correlation under rescalingEasyRandom VariablesStatisticsView →
- Counting 8-bit stringsEasyCombinatoricsView →
- Counting complement pairsEasyProgramming & DSAView →
- Counting flushesEasyProbabilityCombinatoricsView →
- Counting nines to 1000EasyCombinatoricsBrainteasersView →
- Counting up-down walks to a targetEasyCombinatoricsView →
- Covariance of a chi-square and a ratioEasyRandom VariablesStatisticsView →
- Covariance of summed Brownian motionsEasyStochastic ProcessesView →
- Crossing the origin twiceEasyStochastic ProcessesView →
- Determinant after antisymmetrizingEasyProbabilityLinear AlgebraView →
- Determinant from trace and one eigenvalueEasyLinear AlgebraView →
- Determinant of a scaled productEasyLinear AlgebraView →
- Diagonal parameter from a triangular determinantEasyLinear AlgebraView →
- Dots on distinct edgesEasyProbabilityCombinatoricsView →
- Eigenvalues of a 2×2 matrixEasyLinear AlgebraView →
- Even count until the coin repeatsEasyProbabilityView →
- Even heads with one fair coinEasyProbabilityConditional Probability & ExpectationView →
- Even numbers, distinct digitsEasyCombinatoricsView →
- Even-size, non-empty subsetEasyProbabilityCombinatoricsView →
- Exactly one clears two-thirdsEasyProbabilityRandom VariablesView →
- Expected distance of a dart from centerEasyProbabilityRandom VariablesView →
- Expected flips after a losing startEasyProbabilityExpected ValueView →
- Expected flips for three headsEasyProbabilityExpected ValueView →
- Expected flips for two heads (not in a row)EasyProbabilityExpected ValueView →
- Finding the number of blue socksEasyProbabilityCombinatoricsView →
- First tail within two flipsEasyProbabilityView →
- Four dice summing to twentyEasyProbabilityCombinatoricsView →
- Handshakes at four couplesEasyCombinatoricsBrainteasersView →
- How many sixes on the die?EasyExpected ValueBrainteasersView →
- Integers that contain a zeroEasyCombinatoricsBrainteasersView →
- Interior crossings of a decagon's diagonalsEasyCombinatoricsView →
- Interquartile range of an exponentialEasyRandom VariablesStatisticsView →
- Keep it or draw againEasyProbabilityExpected ValueView →
- Keep the d8 or gamble on the d12?EasyProbabilityExpected ValueView →
- Landing two above the startEasyStochastic ProcessesView →
- Lapping on the trackEasyBrainteasersView →
- Largest eigenvalue after squaringEasyLinear AlgebraView →
- Largest possible covarianceEasyRandom VariablesStatisticsView →
- Lattice paths through a checkpointEasyCombinatoricsView →
- MISSISSIPPI with the P's togetherEasyCombinatoricsView →
- Matching a max and a min at zeroEasyProbabilityView →
- Matching a uniform and an exponentialEasyRandom VariablesStatisticsView →
- Matching locks to keysEasyBrainteasersView →
- Maximum of four uniforms in a bandEasyProbabilityRandom VariablesView →
- More heads than tails in six flipsEasyProbabilityView →
- Multiplications saved by Horner's methodEasyProgramming & DSAView →
- No heads in a random number of flipsEasyProbabilityRandom VariablesView →
- Norm after imposing orthogonalityEasyLinear AlgebraView →
- Normalizing a tilted densityEasyRandom VariablesCalculusView →
- One blue die matches the redEasyProbabilityView →
- Origin between two pointsEasyProbabilityView →
- Paid a dollar or the drawEasyExpected ValueStatisticsView →
- Paid the last roll before you stopEasyProbabilityExpected ValueView →
- Parameter values for a singular matrixEasyLinear AlgebraView →
- Polygons with integer anglesEasyBrainteasersView →
- Pooling two independent estimatesEasyRandom VariablesStatisticsView →
- Posterior from a likelihood ratioEasyConditional Probability & ExpectationStatisticsView →
- Profit from a favourable stopping gameEasyExpected ValueStochastic ProcessesView →
- R-squared from the sums of squaresEasyStatisticsView →
- R-squared when you duplicate every pointEasyStatisticsView →
- Reflipping for valueEasyProbabilityExpected ValueView →
- Regressing with zero covarianceEasyRandom VariablesStatisticsView →
- Retries under a hard capEasyExpected ValueStochastic ProcessesView →
- Ripple on a pondEasyCalculusView →
- Rolling a die to size the next dieEasyConditional Probability & ExpectationExpected ValueView →
- Rolling until you match the first rollEasyProbabilityExpected ValueView →
- Rolls until an even sumEasyProbabilityExpected ValueView →
- Round table with a couple togetherEasyCombinatoricsView →
- Same side four timesEasyProbabilityView →
- Sample SD with Bessel's correctionEasyStatisticsView →
- Second moment from varianceEasyRandom VariablesStatisticsView →
- Sharing your weekday of birthEasyProbabilityView →
- Sharpe of two combined uncorrelated strategiesEasyStatisticsFinance & DerivativesView →
- Shrinking the standard errorEasyStatisticsView →
- Six heads from a random biased coinEasyConditional Probability & ExpectationRandom VariablesView →
- Skewness of a Laplace variableEasyRandom VariablesStatisticsView →
- Slope of a product at a special pointEasyCalculusView →
- Solving a linear Diophantine equationEasyBrainteasersView →
- Spread of a two-card sumEasyRandom VariablesStatisticsView →
- Standard deviation of a correlated sumEasyRandom VariablesStatisticsView →
- Sum of cubed eigenvaluesEasyLinear AlgebraView →
- Sum of the OLS coefficientsEasyStatisticsView →
- Tangent-minus-sine third-order limitEasyCalculusView →
- The added babyEasyProbabilityConditional Probability & ExpectationView →
- The higher die shows a fourEasyProbabilityView →
- The largest unmakeable postageEasyBrainteasersView →
- The peak of a decaying pulseEasyCalculusView →
- The price of a triangular gardenEasyBrainteasersView →
- The top two cards form a pairEasyProbabilityCombinatoricsView →
- The weight of the fishEasyBrainteasersView →
- Three children, all boysEasyProbabilityConditional Probability & ExpectationView →
- Three cube faces at a cornerEasyProbabilityCombinatoricsView →
- Three distinct dice, no sixEasyProbabilityCombinatoricsView →
- Three primes in six rollsEasyProbabilityView →
- Three raids on the flockEasyBrainteasersView →
- Three-one strings with matching endpointsEasyCombinatoricsView →
- Timing the revolverEasyBrainteasersView →
- Top three dice summing to eighteenEasyProbabilityCombinatoricsView →
- Two heads given an even countEasyProbabilityConditional Probability & ExpectationView →
- Two mismatched diceEasyProbabilityView →
- Two numbers in different groupsEasyProbabilityCombinatoricsView →
- Two ordering constraints at onceEasyProbabilityCombinatoricsView →
- Two primes with an even sumEasyProbabilityCombinatoricsView →
- Two searches, neither hitsEasyRandom VariablesView →
- Unchanged after ten swingsEasyProbabilityBrainteasersView →
- Units digit of a random productEasyProbabilityCombinatoricsView →
- Upper bound on a dry weekendEasyProbabilityView →
- Variance of a sum of Brownian motionEasyStochastic ProcessesView →
- Variance of an asymmetric random walkEasyRandom VariablesStochastic ProcessesView →
- Ways to reach deuceEasyProbabilityCombinatoricsView →
- Weighting a fixed sumEasyConditional Probability & ExpectationExpected ValueView →
- When the clock hands next meetEasyBrainteasersView →
- When the colony outgrows its life supportEasyBrainteasersCalculusView →
- Where the arrivals landEasyProbabilityStochastic ProcessesView →
- Where the maximum landsEasyRandom VariablesStatisticsView →
- Where x squared log x bottoms outEasyCalculusView →
- Whether either bus comes soonEasyProbabilityRandom VariablesView →
- Which side holds the heavy weightEasyProbabilityCombinatoricsView →
- Winning by a growing marginEasyProbabilityBrainteasersView →
- 1000 bottles, one poisonedMediumBrainteasersView →
- 25 horses, 5 tracksMediumBrainteasersView →
- A CLT tail probabilityMediumStatisticsView →
- A Cholesky diagonal entryMediumLinear AlgebraView →
- A Gram–Schmidt R entryMediumLinear AlgebraView →
- A convexity gap by JensenMediumRandom VariablesExpected ValueView →
- A cube ending in elevenMediumProbabilityBrainteasersView →
- A cube root by tangent lineMediumCalculusView →
- A difference of three normalsMediumRandom VariablesStatisticsView →
- A divergent reciprocal expectationMediumRandom VariablesCalculusView →
- A ladder slipping in oilMediumCalculusView →
- A large power, modular orderMediumProgramming & DSAView →
- A limit via the cosine seriesMediumCalculusView →
- A low medianMediumProbabilityRandom VariablesView →
- A mean-reverting processMediumStochastic ProcessesFinance & DerivativesView →
- A point near the cone's baseMediumProbabilityCalculusView →
- A prime sum on prime diceMediumProbabilityCombinatoricsView →
- A ratio of gamma valuesMediumRandom VariablesView →
- A stationary probabilityMediumStochastic ProcessesView →
- 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 →
- Age a fraction of the birth yearMediumBrainteasersView →
- All six faces (coupon collector)MediumRandom VariablesExpected ValueView →
- An ace for everyoneMediumProbabilityCombinatoricsView →
- An ace in every pileMediumProbabilityCombinatoricsView →
- An ace in the handMediumProbabilityCombinatoricsView →
- An ant returning to its cornerMediumExpected ValueStochastic ProcessesView →
- An integral by symmetryMediumCalculusView →
- Anagrams of LOLLIPOPMediumCombinatoricsView →
- Arbitraging a mispriced forward loanMediumFinance & DerivativesView →
- Arc length of a curveMediumCalculusView →
- Area of a parallelogramMediumLinear AlgebraView →
- Arrivals before the rival streamMediumProbabilityStochastic ProcessesView →
- 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 →
- Backing out a margin-free probabilityMediumMarket Making & Betting GamesView →
- Balanced parenthesesMediumCombinatoricsProgramming & DSAView →
- Balancing six- and eight-sided diceMediumExpected ValueBrainteasersView →
- Balloon related ratesMediumCalculusView →
- Bayes: did it rain?MediumConditional Probability & ExpectationStatisticsView →
- Bertrand's boxMediumProbabilityConditional Probability & ExpectationView →
- Best linear blend of two estimatesMediumRandom VariablesStatisticsView →
- Boy–girl neighbors in a lineMediumCombinatoricsExpected ValueView →
- Buyer count in a thinned arrival streamMediumProbabilityStochastic ProcessesView →
- By parts over an infinite tailMediumCalculusView →
- Call count of memoized FibonacciMediumProgramming & DSAView →
- Cash out or bustMediumProbabilityExpected ValueView →
- Cash-and-carry arbitrageMediumFinance & DerivativesView →
- Cats and dogs on the streetMediumBrainteasersView →
- Cheapest open-top boxMediumCalculusView →
- Chords that don't crossMediumProbabilityCombinatoricsView →
- Classify critical points of x^3 - 3xMediumCalculusView →
- Climbing stairsMediumCombinatoricsProgramming & DSAView →
- Coin sets the number of dice rollsMediumProbabilityConditional Probability & ExpectationView →
- Coin-pile NimMediumBrainteasersMarket Making & Betting GamesView →
- 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 →
- Convergence of the integral of x^(-p)MediumCalculusView →
- Conversion arbitrage from a parity violationMediumFinance & DerivativesView →
- Convexity correction signMediumFinance & DerivativesView →
- Correlation of overlapping sumsMediumRandom VariablesStatisticsView →
- Correlation of two face-countsMediumProbabilityStatisticsView →
- Cosine of a conditional meanMediumProbabilityConditional Probability & ExpectationView →
- Counting straightsMediumProbabilityCombinatoricsView →
- Covariance from a triangular densityMediumRandom VariablesStatisticsView →
- Covariance of a Poisson processMediumStochastic ProcessesView →
- Covariance of sum and differenceMediumRandom VariablesStatisticsView →
- Cutting a cube into 27MediumBrainteasersView →
- Definite integral of x e^x on [0,1]MediumCalculusView →
- Deleting every other number on a circleMediumCombinatoricsBrainteasersView →
- Delta of a straddleMediumFinance & DerivativesView →
- Density of a sum of two uniformsMediumProbabilityRandom VariablesView →
- Density of a uniform squaredMediumRandom VariablesCalculusView →
- Derangements of four itemsMediumCombinatoricsView →
- Derivative of xˣMediumCalculusView →
- 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 →
- Dice payoff via WaldMediumExpected ValueStochastic ProcessesView →
- Digits multiplying to half the numberMediumBrainteasersView →
- Digits of concatenated powersMediumBrainteasersView →
- Disease test (Bayes)MediumConditional Probability & ExpectationStatisticsView →
- Distinct birthdays representedMediumProbabilityExpected ValueView →
- Distinct die labelingsMediumCombinatoricsBrainteasersView →
- Distinct faces in five rollsMediumCombinatoricsExpected ValueView →
- Distinct faces in three rollsMediumExpected ValueView →
- Distributing candies with a capMediumCombinatoricsView →
- Diversified VaR of two positionsMediumStatisticsFinance & DerivativesView →
- Double integral of x + y over the unit squareMediumCalculusView →
- Duration-plus-convexity price moveMediumFinance & DerivativesView →
- E[X | X > 0] for a standard normalMediumStatisticsCalculusView →
- Eigenvalues of a projectionMediumLinear AlgebraView →
- Eigenvalues of a rotationMediumLinear AlgebraView →
- Eight coins, one lightMediumCombinatoricsBrainteasersView →
- Eight dice summing to twelveMediumProbabilityCombinatoricsView →
- Empty boxesMediumExpected ValueView →
- Emptying the cherry bowlMediumProbabilityCombinatoricsView →
- Enlarging a square orchardMediumBrainteasersView →
- Equivalent continuously-compounded rateMediumFinance & DerivativesView →
- Euclid's worst-case step countMediumProgramming & DSAView →
- Exactly two aces in a bridge handMediumProbabilityCombinatoricsView →
- Expectation as a sum of tailsMediumRandom VariablesExpected ValueView →
- Expectation of e raised to a normalMediumRandom VariablesExpected ValueView →
- Expectation of −2 ln UMediumRandom VariablesCalculusView →
- Expected absolute difference of two diceMediumExpected ValueView →
- Expected ascents in a shuffleMediumCombinatoricsExpected ValueView →
- Expected duration of a fair gameMediumExpected ValueStochastic ProcessesView →
- Expected exponential of Brownian motionMediumStochastic ProcessesView →
- Expected fives before the first sixMediumProbabilityExpected ValueView →
- Expected flips for HHMediumRandom VariablesExpected ValueView →
- Expected flips for HHTMediumExpected ValueStochastic ProcessesView →
- Expected flips for HTMediumExpected ValueStochastic ProcessesView →
- Expected gap between two normalsMediumRandom VariablesView →
- Expected gap on 30-sided diceMediumProbabilityExpected ValueView →
- Expected maximum of three diceMediumRandom VariablesExpected ValueView →
- Expected maximum of two diceMediumRandom VariablesExpected ValueView →
- Expected median of three diceMediumProbabilityExpected ValueView →
- Expected minimum of two diceMediumRandom VariablesExpected ValueView →
- Expected rolls for two sixes in a rowMediumExpected ValueStochastic ProcessesView →
- Expected square of a random unit complex numberMediumProbabilityRandom VariablesView →
- Expected steps to first reach a levelMediumProbabilityStochastic ProcessesView →
- Expected sum given both evenMediumConditional Probability & ExpectationExpected ValueView →
- Expected sum of a random subsetMediumExpected ValueView →
- Expected value of a mean-reverting processMediumStochastic ProcessesView →
- Expected value of the highest cardMediumProbabilityExpected ValueView →
- Fair outcome from a biased coinMediumProbabilityStatisticsView →
- Fair value after an informed buyMediumConditional Probability & ExpectationMarket Making & Betting GamesView →
- Finite-difference stabilityMediumFinance & DerivativesProgramming & DSAView →
- First HH on the tenth tossMediumProbabilityCombinatoricsView →
- First consecutive repeatMediumProbabilityExpected ValueView →
- First head on an even flipMediumProbabilityView →
- First head strictly soonerMediumProbabilityRandom VariablesView →
- First passage to ±1MediumStochastic ProcessesView →
- First to roll a sixMediumProbabilityView →
- First to three of a kind in a rowMediumProbabilityExpected ValueView →
- Five distinct ranksMediumProbabilityCombinatoricsView →
- Forward price with a cash dividendMediumFinance & DerivativesView →
- Forward vs. futures priceMediumFinance & DerivativesView →
- Four fives before the first sixMediumProbabilityRandom VariablesView →
- Four points on a semicircleMediumProbabilityView →
- Four times as long to the first headMediumProbabilityRandom VariablesView →
- Fourth moment of a shifted normalMediumProbabilityRandom VariablesView →
- Full housesMediumProbabilityCombinatoricsView →
- Gambler's ruinMediumProbabilityStochastic ProcessesView →
- Gambler's ruin (unfair)MediumProbabilityStochastic ProcessesView →
- Gamma and rehedging P&LMediumFinance & DerivativesView →
- Gap between two uniformsMediumExpected ValueStatisticsView →
- Grandmother's age from the digitsMediumBrainteasersView →
- Growth rate of a rank-one eigenvalueMediumLinear AlgebraView →
- Guess 2/3 of the averageMediumMarket Making & Betting GamesView →
- HT before HH in coin flipsMediumProbabilityStochastic ProcessesView →
- Heads given the ends differMediumConditional Probability & ExpectationExpected ValueView →
- How explosive is naive Fibonacci?MediumProgramming & DSAView →
- How fast is the balloon growing?MediumCalculusView →
- How fast the bubble's skin growsMediumCalculusView →
- How large can the off-diagonal be?MediumLinear AlgebraView →
- How many stack outputs?MediumProgramming & DSAView →
- How many trials to poll a proportionMediumRandom VariablesStatisticsView →
- How much a control variate helpsMediumFinance & DerivativesProgramming & DSAView →
- Identical balls, no empty boxMediumCombinatoricsView →
- Implicit differentiation on a circleMediumCalculusView →
- Implied dividend yield from a forwardMediumFinance & DerivativesView →
- Integral by substitution: 2x e^(x^2)MediumCalculusView →
- Integrating arctangent by partsMediumCalculusView →
- Inventory-skewed reservation priceMediumMarket Making & Betting GamesView →
- Inversions in a shuffleMediumCombinatoricsExpected ValueView →
- 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 →
- Kelly sizing on an asymmetric betMediumMarket Making & Betting GamesView →
- Larger eigenvalue of a 2×2MediumLinear AlgebraView →
- Largest circle in a triangleMediumBrainteasersView →
- Largest eigenvalue of a rank-one updateMediumLinear AlgebraView →
- Largest pen against a riverMediumCalculusView →
- Last two digits of a powerMediumCombinatoricsBrainteasersView →
- Lattice paths in 3DMediumCombinatoricsView →
- Law of total varianceMediumConditional Probability & ExpectationExpected ValueView →
- Leibniz rule derivative at x = 1MediumCalculusView →
- Letters into envelopesMediumProbabilityExpected ValueView →
- Limit of x ln x as x to 0+MediumCalculusView →
- Limit of x^100 over e^xMediumCalculusView →
- Log-dynamics of a geometric Brownian motionMediumStochastic ProcessesView →
- MLE at a boundaryMediumStatisticsCalculusView →
- Macaulay duration of a coupon bondMediumFinance & DerivativesView →
- Marking a seasoned forwardMediumFinance & DerivativesView →
- Markov with a floorMediumStatisticsView →
- Matching floors of a logarithmMediumProbabilityRandom VariablesView →
- 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 →
- Mean value theorem for x^2MediumCalculusView →
- Median of a linear densityMediumRandom VariablesCalculusView →
- Median of a list and its squaresMediumCombinatoricsStatisticsView →
- Memoryless waitingMediumConditional Probability & ExpectationRandom VariablesView →
- Minimum given the maximumMediumProbabilityConditional Probability & ExpectationView →
- Minimum of two exponentialsMediumProbabilityRandom VariablesView →
- Minimum-variance portfolio weightMediumStatisticsFinance & DerivativesView →
- Minimum-variance weightsMediumStatisticsFinance & DerivativesView →
- Monotone paths across a gridMediumCombinatoricsView →
- Monty HallMediumProbabilityConditional Probability & ExpectationView →
- Monty Hall with 100 doorsMediumProbabilityConditional Probability & ExpectationView →
- Multiplications in fast exponentiationMediumProgramming & DSAView →
- Neither die exceeds fourMediumProbabilityRandom VariablesView →
- Newton's division-free reciprocalMediumCalculusView →
- No face card before the two of heartsMediumProbabilityCombinatoricsView →
- No two evens adjacentMediumCombinatoricsView →
- No two heads in a rowMediumProbabilityCombinatoricsView →
- No two neighboring bulbs litMediumProbabilityCombinatoricsView →
- No-arbitrage call boundsMediumFinance & DerivativesView →
- Non-attacking rooksMediumCombinatoricsView →
- 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 card each in casino warMediumProbabilityCombinatoricsView →
- One extra roll for more primesMediumProbabilityView →
- One hundred animals for a thousand dollarsMediumBrainteasersView →
- One hundred light bulbsMediumBrainteasersView →
- One random subset inside anotherMediumProbabilityCombinatoricsView →
- Onto functionsMediumCombinatoricsView →
- Optimally pooling two estimatorsMediumRandom VariablesStatisticsView →
- Order statistics of two uniformsMediumRandom VariablesStatisticsView →
- Paid only if the last roll winsMediumExpected ValueView →
- Painted cube, one face showingMediumProbabilityBrainteasersView →
- Pair at a round tableMediumCombinatoricsView →
- Pairing up six peopleMediumCombinatoricsView →
- Par swap rate definitionMediumFinance & DerivativesView →
- Paths on a 4×3 gridMediumCombinatoricsView →
- Periodicity and limiting distributionMediumStochastic ProcessesView →
- Placing operators among digitsMediumCombinatoricsView →
- Poisson thinning: exactly two large ordersMediumRandom VariablesView →
- Position of the first aceMediumConditional Probability & ExpectationExpected ValueView →
- Position of the first spadeMediumCombinatoricsExpected ValueView →
- Positive semidefinitenessMediumStatisticsLinear AlgebraView →
- Power iterationMediumLinear AlgebraProgramming & DSAView →
- Power of three in a factorialMediumCombinatoricsView →
- Pricing a digital from a call spreadMediumFinance & DerivativesView →
- Pricing a squared payoffMediumExpected ValueMarket Making & Betting GamesView →
- Probability of three of a kindMediumProbabilityCombinatoricsView →
- Product of two uniforms above a halfMediumProbabilityRandom VariablesView →
- Projecting onto a lineMediumLinear AlgebraView →
- Put–call parity arbitrageMediumFinance & DerivativesView →
- Put–call parity with a dividendMediumFinance & DerivativesView →
- Quickselect average complexityMediumProgramming & DSAView →
- Rank and nullity of a rotationMediumLinear AlgebraView →
- Rank–nullity dimension countMediumLinear AlgebraView →
- Rare-event Poisson approximationMediumProbabilityRandom VariablesView →
- Rate of a growing shadowMediumCalculusView →
- Ratio of partial sumsMediumRandom VariablesExpected ValueView →
- Reaching the target before ruinMediumStochastic ProcessesView →
- Reading an R²MediumStatisticsView →
- Rebuilding a tower of ten ringsMediumBrainteasersProgramming & DSAView →
- Recovering an eigenvector from its eigenvalueMediumLinear AlgebraView →
- Red faces on a diced cubeMediumCombinatoricsExpected ValueView →
- Regions from ten linesMediumCombinatoricsBrainteasersView →
- Regression to the meanMediumBrainteasersStatisticsView →
- Rehedging a book after a moveMediumFinance & DerivativesView →
- Remaining life of a memoryless partMediumRandom VariablesView →
- Renewal-reward fraction of time runningMediumExpected ValueStochastic ProcessesView →
- Resonance in undetermined coefficientsMediumCalculusView →
- Return time from a three-state chainMediumStochastic ProcessesView →
- Right angles in 12 hoursMediumBrainteasersView →
- Risk-neutral up probabilityMediumStochastic ProcessesFinance & DerivativesView →
- Rolling a 5-sided die to reach fiveMediumProbabilityExpected ValueView →
- Rolling until two rolls differ by twoMediumProbabilityExpected ValueView →
- Rolls to a six before a fiveMediumProbabilityExpected ValueView →
- Rolls to see both a 1 and a 2MediumExpected ValueView →
- Rolls until a face repeatsMediumProbabilityExpected ValueView →
- Russian roulette, re-spunMediumProbabilityConditional Probability & ExpectationView →
- Sampling an exponential from a uniformMediumRandom VariablesProgramming & DSAView →
- Scaling vega across maturitiesMediumFinance & DerivativesView →
- Screening a rare diseaseMediumConditional Probability & ExpectationStatisticsView →
- Second moment via the MGFMediumRandom VariablesCalculusView →
- Sharpe ratio in a marble gameMediumExpected ValueStatisticsView →
- Short-rate modelsMediumStochastic ProcessesFinance & DerivativesView →
- Simulate probability pMediumProbabilityProgramming & DSAView →
- Singular values via AᵀAMediumLinear AlgebraView →
- Sizing an index-futures hedge in contractsMediumStatisticsFinance & DerivativesView →
- Smallest simulable probabilityMediumProbabilityBrainteasersView →
- Spaced onesMediumCombinatoricsView →
- Spam filterMediumProbabilityConditional Probability & ExpectationView →
- Spectrum of a constant-diagonal matrixMediumLinear AlgebraView →
- Spectrum of a symmetric matrixMediumStatisticsLinear AlgebraView →
- Splitting a merged Poisson totalMediumStochastic ProcessesView →
- Squares on a chessboard, tilted ones includedMediumCombinatoricsBrainteasersView →
- Stationary distribution of a two-state chainMediumProbabilityStochastic ProcessesView →
- Subsets with no neighborsMediumCombinatoricsView →
- Sum and difference of perfectly correlated variablesMediumRandom VariablesStatisticsView →
- Sum of 10 with three diceMediumProbabilityCombinatoricsView →
- Sum of independent PoissonsMediumProbabilityRandom VariablesView →
- Sum of multinomial coefficientsMediumCombinatoricsView →
- Sum of squared standard normalsMediumRandom VariablesStatisticsView →
- Sum of the pandigital numbersMediumCombinatoricsBrainteasersView →
- Sum versus twice the differenceMediumProbabilityRandom VariablesView →
- Summing digits to a millionMediumCombinatoricsBrainteasersView →
- Swapping the regression variablesMediumStatisticsView →
- Ten dice, sum divisible by sixMediumProbabilityCombinatoricsView →
- Terms in a multinomial expansionMediumCombinatoricsView →
- The Gaussian integralMediumCalculusView →
- The German tank problemMediumExpected ValueStatisticsView →
- The Markov propertyMediumStochastic ProcessesView →
- The SDE of the reciprocalMediumStochastic ProcessesView →
- The St. Petersburg paradoxMediumExpected ValueMarket Making & Betting GamesView →
- The birthday problemMediumProbabilityCombinatoricsView →
- The cab problemMediumProbabilityConditional Probability & ExpectationView →
- The die that makes sums uniformMediumProbabilityCombinatoricsView →
- The first component to failMediumRandom VariablesView →
- The gold chainMediumBrainteasersView →
- The larger die shows a 4 - what about the smaller?MediumProbabilityRandom VariablesView →
- The largest unmakeable totalMediumCombinatoricsBrainteasersView →
- The last lightbulb to burn outMediumRandom VariablesExpected ValueView →
- The most balanced factorizationMediumBrainteasersView →
- The painted cubeMediumBrainteasersView →
- The probability integral transformMediumRandom VariablesStatisticsView →
- The same number of tailsMediumProbabilityCombinatoricsView →
- The third shiny pennyMediumProbabilityCombinatoricsView →
- The two black aces, side by sideMediumProbabilityCombinatoricsView →
- The two-headed coinMediumProbabilityConditional Probability & ExpectationView →
- Three dots, exactly one shared edgeMediumProbabilityCombinatoricsView →
- Three mislabeled jarsMediumBrainteasersView →
- Three ones in a rowMediumProbabilityCombinatoricsView →
- Three prisonersMediumProbabilityConditional Probability & ExpectationView →
- Three unlabeled teamsMediumCombinatoricsView →
- Three-four-five in Pascal's triangleMediumCombinatoricsBrainteasersView →
- Tiling a stripMediumCombinatoricsView →
- Trace of A-transpose-AMediumLinear AlgebraView →
- Trace of a productMediumLinear AlgebraView →
- Trailing zeros of 100!MediumCombinatoricsView →
- Tuning an exponential random walkMediumProbabilityStochastic ProcessesView →
- Two childrenMediumProbabilityConditional Probability & ExpectationView →
- Two guards, two doorsMediumBrainteasersView →
- Two positive testsMediumProbabilityConditional Probability & ExpectationView →
- Two ropes, 45 minutesMediumBrainteasersView →
- Two trains and a flyMediumBrainteasersView →
- Two uniforms summing below a halfMediumProbabilityRandom VariablesView →
- Two uniforms summing past 1.5MediumProbabilityCalculusView →
- Uncorrelated but dependentMediumRandom VariablesStatisticsView →
- Units digit of a random powerMediumProbabilityCombinatoricsView →
- Value of iⁱMediumCalculusView →
- Variance explained by a regressionMediumStatisticsLinear AlgebraView →
- Variance of a Brownian combinationMediumStochastic ProcessesView →
- Variance of a coin-gated payoffMediumRandom VariablesStatisticsView →
- Variance of a compound daily totalMediumRandom VariablesView →
- Variance of a lognormalMediumRandom VariablesFinance & DerivativesView →
- Variance of a squared normalMediumRandom VariablesStatisticsView →
- Variance of a stochastic integralMediumProbabilityStochastic ProcessesView →
- Variance of a sum drawn without replacementMediumRandom VariablesView →
- Variance of a time-weighted Itô integralMediumCalculusStochastic ProcessesView →
- 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 integrated Brownian motionMediumStochastic ProcessesView →
- Variance of the larger of two diceMediumRandom VariablesStatisticsView →
- Variance of the longer pieceMediumProbabilityRandom VariablesView →
- Variance-minimizing hedgeMediumProbabilityStatisticsView →
- Volatility smile meaningMediumStatisticsFinance & DerivativesView →
- Volume of revolution of sqrt(x)MediumCalculusView →
- Volume where two cylinders crossMediumCalculusView →
- Waiting to see both facesMediumRandom VariablesStatisticsView →
- Weighing 1 to 40MediumBrainteasersView →
- What 'unbiased' meansMediumStatisticsView →
- What a p-value isMediumStatisticsView →
- When a biased estimator winsMediumRandom VariablesStatisticsView →
- When the naive shuffle is biasedMediumProgramming & DSAView →
- When to prefer memoization over tabulationMediumProgramming & DSAView →
- Where the slope is steepest downhillMediumCalculusView →
- Which coin produced two heads?MediumProbabilityConditional Probability & ExpectationView →
- Which deck for two reds?MediumProbabilityView →
- 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 →
- Wine and waterMediumBrainteasersView →
- Winning from deuceMediumProbabilityConditional Probability & ExpectationView →
- Within distance d on the unit intervalMediumProbabilityCalculusView →
- X positive given the sum is positiveMediumProbabilityRandom VariablesView →
- k-th order statisticMediumExpected ValueStatisticsView →
- x^4 coefficient of a composed seriesMediumCalculusView →
- A 12 before two 7sHardProbabilityStochastic ProcessesView →
- A Fibonacci power sumHardBrainteasersView →
- A coin thick enough to land on its sideHardProbabilityBrainteasersView →
- A flea's shortest escape across a boxHardBrainteasersCalculusView →
- A function minus its derivativeHardCalculusView →
- A geometric series that sums to a squareHardBrainteasersView →
- A half-plane, given positiveHardProbabilityRandom VariablesView →
- A rectangle over the shaded rowHardProbabilityCombinatoricsView →
- A second red ball from the same urnHardProbabilityConditional Probability & ExpectationView →
- A small sub-triangleHardProbabilityRandom VariablesView →
- A telescoping partial-fraction sumHardCalculusView →
- A three-way race to the first headHardProbabilityRandom VariablesView →
- A triangle of consecutive integersHardBrainteasersView →
- A void suit in bridgeHardProbabilityCombinatoricsView →
- A weighted sum of binomialsHardCombinatoricsBrainteasersView →
- Absorption in naive floating-point summationHardCalculusProgramming & DSAView →
- Ages from product and sumHardCombinatoricsBrainteasersView →
- Amoeba extinctionHardProbabilityStochastic ProcessesView →
- An arithmetic-geometric seriesHardCalculusView →
- Average of near-diagonal numbersHardCombinatoricsBrainteasersView →
- Balls into bowls, three eachHardCombinatoricsView →
- Bertrand's chordHardProbabilityBrainteasersView →
- Best-of-seven underdogHardProbabilityRandom VariablesView →
- Blue-eyed islandersHardBrainteasersView →
- Branching process extinction (critical)HardProbabilityStochastic ProcessesView →
- Branching process extinction (supercritical)HardProbabilityStochastic ProcessesView →
- Broken-stick triangleHardProbabilityView →
- Buffon's needleHardProbabilityCalculusView →
- Cars advancing to the endHardProbabilityExpected ValueView →
- Cats and miceHardBrainteasersView →
- Conditioning a Brownian bridgeHardStochastic ProcessesView →
- Connecting noodlesHardProbabilityExpected ValueView →
- Correlation of min and maxHardProbabilityRandom VariablesView →
- Counting fives before a four and a sixHardProbabilityRandom VariablesView →
- Counting two-pair handsHardProbabilityCombinatoricsView →
- Covariance of X with Y squaredHardRandom VariablesStatisticsView →
- Covariance with a lognormal childHardConditional Probability & ExpectationRandom VariablesView →
- Cubes over the terminating denominatorsHardBrainteasersCalculusView →
- Cuts until one orb remainsHardProbabilityExpected ValueView →
- Cycles in a shuffleHardCombinatoricsExpected ValueView →
- Dealing until kings or a king-and-aceHardCombinatoricsExpected ValueView →
- Defective stack of coinsHardCombinatoricsBrainteasersView →
- Deriving the first-price shading factorHardProbabilityExpected ValueView →
- Digits with distinct pairwise sumsHardCombinatoricsBrainteasersView →
- Distinct toys from seven boxesHardProbabilityExpected ValueView →
- Domino tilings of a 3×8 gridHardCombinatoricsView →
- Doors toggled by primesHardCombinatoricsBrainteasersView →
- Draws to beat a hidden uniformHardRandom VariablesExpected ValueView →
- Draws to pass a log thresholdHardProbabilityRandom VariablesView →
- Draws to pass twoHardProbabilityRandom VariablesView →
- Draws until a smaller valueHardExpected ValueView →
- Drunk man on a bridgeHardExpected ValueStochastic ProcessesView →
- Ehrenfest urn stationary distributionHardProbabilityStochastic ProcessesView →
- Everyone gets one of eachHardProbabilityCombinatoricsView →
- Exactly one pairHardProbabilityCombinatoricsView →
- Expected arc covering a fixed pointHardProbabilityExpected ValueView →
- Expected chord between two random pointsHardProbabilityExpected ValueView →
- Expected chord intersectionsHardProbabilityCombinatoricsView →
- Expected comparisons, from first principlesHardProgramming & DSAView →
- Expected duration of a fair walkHardExpected ValueStochastic ProcessesView →
- Expected flips for HHHHardExpected ValueStochastic ProcessesView →
- Expected flips for HTHHardExpected ValueStochastic ProcessesView →
- Expected largest of ten ballsHardCombinatoricsExpected ValueView →
- Expected local maxima in a shuffleHardProbabilityExpected ValueView →
- Expected revisits of the start stateHardExpected ValueStochastic ProcessesView →
- Exponential martingale compensatorHardCalculusStochastic ProcessesView →
- Filling three bins from a coin flipHardProbabilityCombinatoricsView →
- Four heads in a rowHardExpected ValueStochastic ProcessesView →
- Guessing cards from a known pileHardProbabilityExpected ValueView →
- HTH before HHTHardProbabilityRandom VariablesView →
- Handshakes at a dinner partyHardCombinatoricsBrainteasersView →
- Hats in a lineHardBrainteasersView →
- Hats with 100 colorsHardBrainteasersView →
- Head density with no two in a rowHardProbabilityCombinatoricsView →
- Hitting zero on a ringHardProbabilityStochastic ProcessesView →
- Inverse via Cayley–HamiltonHardLinear AlgebraView →
- Laplace transform of a Brownian exit timeHardStochastic ProcessesView →
- Laplace's rule of successionHardProbabilityConditional Probability & ExpectationView →
- Largest pairwise-coprime subset sumHardCombinatoricsBrainteasersView →
- Last one standingHardCombinatoricsBrainteasersView →
- Locks for a four-of-seven safeHardCombinatoricsBrainteasersView →
- Long cycles in a random permutationHardCombinatoricsExpected ValueView →
- Loops from tying noodlesHardProbabilityExpected ValueView →
- Making a power of Brownian motion a martingaleHardStochastic ProcessesView →
- Making change in lineHardCombinatoricsStochastic ProcessesView →
- Mean of a mean-reverting processHardStochastic ProcessesFinance & DerivativesView →
- Measuring two pintsHardBrainteasersView →
- Median of a streamHardStatisticsProgramming & DSAView →
- Minimum coins where greedy failsHardProgramming & DSAView →
- More coins, more heads?HardProbabilityCombinatoricsView →
- No two samples too closeHardProbabilityCombinatoricsView →
- Odd sums on a 3×3 gridHardProbabilityCombinatoricsView →
- One of each face before the two of heartsHardProbabilityCombinatoricsView →
- Only seven left unchosenHardProbabilityCombinatoricsView →
- Optional stopping between +3 and −5HardExpected ValueStochastic ProcessesView →
- Order statistics are BetaHardRandom VariablesStatisticsView →
- Overshoot past oneHardProbabilityRandom VariablesView →
- Pairing gloves within oneHardProbabilityCombinatoricsView →
- Pairing with a difference of 1 or 11HardCombinatoricsBrainteasersView →
- Pairs left in the drawerHardCombinatoricsExpected ValueView →
- Penalty kicks with a shifting rateHardProbabilityRandom VariablesView →
- Pirate gameHardMarket Making & Betting GamesView →
- Pricing an inverse floaterHardFinance & DerivativesView →
- Prisoners and the boxesHardProbabilityBrainteasersView →
- Prisoners and the light switchHardBrainteasersView →
- Quadratic variation in mean-squareHardStochastic ProcessesView →
- Quadratic variation of a scaled Itô integralHardCalculusStochastic ProcessesView →
- Range beats the midpointHardProbabilityRandom VariablesView →
- Ratio of two normalsHardRandom VariablesStatisticsView →
- Reading N(d₂) in Black–ScholesHardFinance & DerivativesView →
- Reflected paths ending below the levelHardProbabilityStochastic ProcessesView →
- Reflecting wall first-passage timeHardExpected ValueStochastic ProcessesView →
- Repainting balls to one colorHardExpected ValueStochastic ProcessesView →
- Reservoir samplingHardStatisticsProgramming & DSAView →
- Rolling until two rolls are closeHardProbabilityExpected ValueView →
- Rolls to a six, given all evenHardConditional Probability & ExpectationExpected ValueView →
- Rotations divisible by 37HardCombinatoricsBrainteasersView →
- Rounds to see all faces with two diceHardProbabilityExpected ValueView →
- Runs of red and blue marblesHardCombinatoricsExpected ValueView →
- Second moment of a Gaussian-kernel stochastic integralHardCalculusStochastic ProcessesView →
- Seven seated in age orderHardProbabilityCombinatoricsView →
- Shortest of three piecesHardProbabilityRandom VariablesView →
- Shuffles to restore the deckHardCombinatoricsBrainteasersView →
- Six pieces, none past a halfHardProbabilityRandom VariablesView →
- Smallest card sharing a boxHardProbabilityExpected ValueView →
- Smallest number with digit product 10000HardCombinatoricsBrainteasersView →
- Smallest possible MGF valueHardRandom VariablesStatisticsView →
- Spread of a lognormal raised to the fourthHardRandom VariablesStatisticsView →
- Spread of a multinomial count gapHardRandom VariablesStatisticsView →
- Subsets with one consecutive pairHardCombinatoricsView →
- Sum of repeating decimalsHardCombinatoricsBrainteasersView →
- Sums of fours and fivesHardCombinatoricsBrainteasersView →
- Ten prime digits with a set productHardCombinatoricsView →
- The all-pay auctionHardProbabilityExpected ValueView →
- The boy born on a TuesdayHardProbabilityConditional Probability & ExpectationView →
- The decreasing run of uniformsHardRandom VariablesExpected ValueView →
- The drunk passengerHardProbabilityConditional Probability & ExpectationView →
- The frog's single leftward hopHardProbabilityCombinatoricsView →
- The leap-frog's favorite landing spotHardProbabilityStochastic ProcessesView →
- The number with no new digitsHardBrainteasersView →
- The racing camelsHardBrainteasersView →
- The reroll advantage in a die duelHardProbabilityMarket Making & Betting GamesView →
- The snow plowHardCalculusView →
- The survivor in the circleHardBrainteasersView →
- The two-envelopes paradoxHardProbabilityConditional Probability & ExpectationView →
- Three eggs, nine dropsHardCombinatoricsBrainteasersView →
- Three first-heads in non-decreasing orderHardProbabilityRandom VariablesView →
- Triangle from three independent sticksHardProbabilityCalculusView →
- Triangle that swallows the centerHardProbabilityBrainteasersView →
- Triangle with equal side sumsHardCombinatoricsBrainteasersView →
- Twelve balls, one oddHardBrainteasersView →
- Two Brownian values, both positiveHardProbabilityStochastic ProcessesView →
- Two Newton iterations for a square rootHardCalculusProgramming & DSAView →
- Two coprime integersHardProbabilityCombinatoricsView →
- Two eggs, 100 floorsHardBrainteasersView →
- Two elements in the long cycleHardProbabilityCombinatoricsView →
- Two random segments overlappingHardProbabilityRandom VariablesView →
- Two random subsets that overlapHardProbabilityCombinatoricsView →
- Two walks returning togetherHardProbabilityCombinatoricsView →
- Two-color necklacesHardCombinatoricsView →
- Uniforms summing past 1HardRandom VariablesExpected ValueView →
- Variance of an Itô integralHardStochastic ProcessesView →
- Variance of the exponential of a gammaHardRandom VariablesStatisticsView →
- Variance under random parametersHardRandom VariablesStatisticsView →
- Weighings for the odd beanHardBrainteasersView →
- When a power of the process is a submartingaleHardProbabilityStochastic ProcessesView →
- When a uniform ratio rounds to a squareHardProbabilityRandom VariablesView →
- When k-to-the-k is a squareHardCombinatoricsBrainteasersView →
- When the extremes sum above oneHardProbabilityRandom VariablesView →
- Will the three-legged table stand?HardProbabilityView →
- World Series bettingHardExpected ValueStochastic ProcessesView →
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Frequently asked questions
- How are quant researcher interviews different from trader interviews?
- They go substantially deeper on statistics and probability theory and expect you to derive results rather than recall them. Trading rounds prize speed and decisiveness; research rounds prize rigour, and give you more time to show it.
- Which topics matter most for a quant research interview?
- Probability and statistics first - distributions, estimators, conditional expectation and inference - then stochastic processes, linear algebra and coding. Machine learning appears for some teams but rarely replaces the fundamentals.
- How much coding is involved?
- Enough to matter. Python is the usual language, and you should be comfortable implementing a simulation or a numerical routine cleanly, even if the role is not primarily an engineering one.