Quant interview questions
1,322 questions in the style trading and research firms ask, from probability and brainteasers to options, statistics and coding. Every question is open to read; the 50 in the free sample show their worked solutions here.
50 questions · page 1 of 2 · Clear filters
- Compute 48 × 52 in your head.Mental maths and numerical fluency · Foundation · Free solution
- Two numbers sit just below a hundred. Compute 97 × 96.Mental maths and numerical fluency · Foundation · Free solution
- How many ways can a committee of 3 be chosen from 8 people?Counting and combinatorics · Foundation · Free solution
- You allocate 10 identical lots across 4 accounts, and an account may receive none.Counting and combinatorics · Applied · Free solution
- Two forecasts, part 1 of 3Probability · Foundation · Free solution
- Two forecasts, part 2 of 3Probability · Applied · Free solution
- Two forecasts, part 3 of 3Probability · Advanced · Free solution
- You roll a fair die and may re-roll once, keeping the second value if you do.Games, decision theory and puzzles · Applied · Free solution
- You may re-roll a fair die as often as you like, free of charge, and are paid…Games, decision theory and puzzles · Advanced · Free solution
- You are asked to make a market on the sum of two fair six-sided dice.Market making · Foundation · Free solution
- You are flat and showing 99 at 101.Market making · Applied · Free solution
- An index rises 10% then falls 10%.Markets and products · Applied · Free solution
- What keeps a liquid equity ETF trading close to the value of its basket?Markets and products · Applied · Free solution
- An index is at 4,000, rates are 5% and the dividend yield is 2%, both…Time value, rates and linear products · Applied · Free solution
- A commodity futures curve slopes upward.Time value, rates and linear products · Applied · Free solution
- You are long a $95 call. The stock settles at $103. What is the payoff, ignoring premium?Options: fundamentals and arbitrage · Foundation · Free solution
- A stock trades at $50 and the $45 call trades at $7.Options: fundamentals and arbitrage · Foundation · Free solution
- A stock is at $100 and in one year moves to either $120 or $80.Option pricing models · Applied · Free solution
- You are convinced a stock will rise with probability 0.9 rather than the 0.5…Option pricing models · Applied · Free solution
- What is the sign of gamma on a long put?The Greeks and hedging · Foundation · Free solution
- Which has more vega: a one-month at-the-money option or a one-year at-the-money…The Greeks and hedging · Applied · Free solution
- A name has 32% annualised volatility.Volatility · Foundation · Free solution
- A name moves 2% a day.Volatility · Applied · Free solution
- How do you replicate a cash-or-nothing digital call?Exotics and structured products · Applied · Free solution
- A vanilla call is worth $8 and the corresponding up-and-in call is worth $3.Exotics and structured products · Applied · Free solution
- Why will no desk hold a naked short digital into expiry with the spot sitting…Exotics and structured products · Advanced · Free solution
- You have 100 observations and a standard error of 0.4.Statistics and inference · Foundation · Free solution
- Which statement about the central limit theorem is correct?Statistics and inference · Applied · Free solution
- A stock has 30% volatility, the index 15%, and their correlation is 0.6.Regression and econometrics · Foundation · Free solution
- A simple regression has a correlation of 0.6 between the two variables.Regression and econometrics · Foundation · Free solution
- You regress one stock’s price on another’s and get R² = 0.95 with a t-statistic of 40.Time series · Applied · Free solution
- A spread follows Δsₜ = −0.05 sₜ₋₁+εₜ on daily data.Time series · Applied · Free solution
- Can three assets be pairwise correlated at −0.5?Linear algebra · Applied · Free solution
- What is the most negative pairwise correlation that five assets can all share?Linear algebra · Advanced · Free solution
- What is d(Wₜ²)?Stochastic calculus · Applied · Free solution
- What is ∫₀ᵗWₛ dWₛ?Stochastic calculus · Advanced · Free solution
- Why is ordinary shuffled k-fold cross-validation wrong on a financial time series?Machine learning · Applied · Free solution
- What does embargoing do that purging does not?Machine learning · Advanced · Free solution
- A signal has an information coefficient of 0.05 and you make 400 independent bets a year.Alpha and signal research · Applied · Free solution
- Your information coefficient is fixed and you want to double your information ratio.Alpha and signal research · Applied · Free solution