Options Trading Interview Questions for Quant Researchers
The same round is marked differently depending on the seat you are interviewing for. This is the options trading set as it applies to quant researchers.
73 questions, all free to practise. The split is 30 easy, 38 medium, 5 hard. The topics that come up most are probability (39), expected value (21), combinatorics (18), random variables (10).
- A die with one face decrementedEasyProbabilityConditional Probability & ExpectationView →
- A sum of four before a sum of twoEasyProbabilityView →
- Backing out the correlation from portfolio riskEasyRandom VariablesStatisticsView →
- Counting flushesEasyProbabilityCombinatoricsView →
- Dots on distinct edgesEasyProbabilityCombinatoricsView →
- Even count until the coin repeatsEasyProbabilityView →
- First tail within two flipsEasyProbabilityView →
- Four dice summing to twentyEasyProbabilityCombinatoricsView →
- How many sixes on the die?EasyExpected ValueBrainteasersView →
- Interior crossings of a decagon's diagonalsEasyCombinatoricsView →
- Keep the d8 or gamble on the d12?EasyProbabilityExpected ValueView →
- More heads than tails in six flipsEasyProbabilityView →
- One blue die matches the redEasyProbabilityView →
- Retries under a hard capEasyExpected ValueStochastic ProcessesView →
- 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 →
- Sample SD with Bessel's correctionEasyStatisticsView →
- Shrinking the standard errorEasyStatisticsView →
- Slope of a product at a special pointEasyCalculusView →
- The higher die shows a fourEasyProbabilityView →
- Three distinct dice, no sixEasyProbabilityCombinatoricsView →
- Three primes in six rollsEasyProbabilityView →
- Top three dice summing to eighteenEasyProbabilityCombinatoricsView →
- Two mismatched diceEasyProbabilityView →
- Ways to reach deuceEasyProbabilityCombinatoricsView →
- When the colony outgrows its life supportEasyBrainteasersCalculusView →
- Where the maximum landsEasyRandom VariablesStatisticsView →
- Which side holds the heavy weightEasyProbabilityCombinatoricsView →
- An ace in every pileMediumProbabilityCombinatoricsView →
- At least two sixes in five rollsMediumProbabilityRandom VariablesView →
- Call count of memoized FibonacciMediumProgramming & DSAView →
- Cash out or bustMediumProbabilityExpected ValueView →
- Climbing stairsMediumCombinatoricsProgramming & DSAView →
- Coin sets the number of dice rollsMediumProbabilityConditional Probability & ExpectationView →
- Distinct faces in three rollsMediumExpected ValueView →
- Double integral of x + y over the unit squareMediumCalculusView →
- Eight coins, one lightMediumCombinatoricsBrainteasersView →
- Eight dice summing to twelveMediumProbabilityCombinatoricsView →
- Empty boxesMediumExpected ValueView →
- Expectation of −2 ln UMediumRandom VariablesCalculusView →
- Expected absolute difference of two diceMediumExpected ValueView →
- Expected fives before the first sixMediumProbabilityExpected ValueView →
- Expected gap on 30-sided diceMediumProbabilityExpected ValueView →
- Expected median of three diceMediumProbabilityExpected ValueView →
- Four fives before the first sixMediumProbabilityRandom VariablesView →
- Heads given the ends differMediumConditional Probability & ExpectationExpected ValueView →
- How fast the bubble's skin growsMediumCalculusView →
- Identical balls, no empty boxMediumCombinatoricsView →
- Pairing up six peopleMediumCombinatoricsView →
- Put–call parity arbitrageMediumFinance & DerivativesView →
- Rank–nullity dimension countMediumLinear AlgebraView →
- Rare-event Poisson approximationMediumProbabilityRandom VariablesView →
- 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 →
- Sharpe ratio in a marble gameMediumExpected ValueStatisticsView →
- Splitting a merged Poisson totalMediumStochastic ProcessesView →
- Three ones in a rowMediumProbabilityCombinatoricsView →
- Two uniforms summing below a halfMediumProbabilityRandom VariablesView →
- Variance of a sum drawn without replacementMediumRandom VariablesView →
- Variance of an aggregate Poisson totalMediumRandom VariablesStochastic ProcessesView →
- Volume of revolution of sqrt(x)MediumCalculusView →
- When a biased estimator winsMediumRandom VariablesStatisticsView →
- When to prefer memoization over tabulationMediumProgramming & DSAView →
- Why covariance matrices are PSDMediumStatisticsLinear AlgebraView →
- Wine and waterMediumBrainteasersView →
- Distinct toys from seven boxesHardProbabilityExpected ValueView →
- Exactly one pairHardProbabilityCombinatoricsView →
- Rolling until two rolls are closeHardProbabilityExpected ValueView →
- Rounds to see all faces with two diceHardProbabilityExpected ValueView →
- Two random subsets that overlapHardProbabilityCombinatoricsView →
Widen the search
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