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.
496 questions · page 4 of 13 · Clear filters
- At-the-money volatility is 19%, the 25-delta call is at 18% and the 25-delta put at 23%.Volatility · Applied
- Index implied correlation has tended to exceed the correlation later realised…Volatility · Applied
- A one-year variance swap was struck at 20 vol points.Volatility · Advanced
- A stock’s daily high is consistently 2% above its low.Volatility · Advanced
- Why does a variance swap’s P&L not depend on the path of the stock the way a…Volatility · Advanced
- An index holds two stocks in equal weight, with implied volatilities of 30% and 20%.Volatility · Advanced
- A one-year reverse convertible on a $100 stock repays $100 plus a coupon…Exotics and structured products · Applied
- For continuous averaging over the whole life of an option, the log of the…Exotics and structured products · Applied
- A basket holds two stocks in equal weight, each with 30% volatility, correlated at 0.5.Exotics and structured products · Applied
- A client buys a call on the worst performer of three stocks.Exotics and structured products · Applied
- A one-year one-touch pays $1 at expiry if the stock ever trades at $120…Exotics and structured products · Advanced
- An up-and-out barrier at $120 is monitored only on daily closes.Exotics and structured products · Advanced
- What is the vega of an up-and-out call with the stock well above the strike and…Exotics and structured products · Advanced
- An option to exchange asset 2 for asset 1 pays max(S₁−S₂,0) in one year.Exotics and structured products · Advanced
- EUR/USD has 8% volatility and USD/JPY 10%, and the log returns of the two rates…Exotics and structured products · Advanced
- A desk is short a knock-out option to a client.Exotics and structured products · Advanced
- You have 100 observations and a standard error of 0.4.Statistics and inference · Foundation · Free solution
- You observe 8 successes in 20 trials.Statistics and inference · Foundation
- A quantity has standard deviation 15.Statistics and inference · Foundation
- A strategy averaged 0.05% a day with a daily standard deviation of 1% over 252 days.Statistics and inference · Foundation
- You test 50 signals and want the family-wise error rate at 5%.Statistics and inference · Foundation
- You compute a 95% confidence interval of (2,8) for a mean. Which reading is correct?Statistics and inference · Applied
- You want to estimate a coin’s bias to within one percentage point at 95% confidence.Statistics and inference · Applied
- You test 200 signals with no edge at the 5% level.Statistics and inference · Applied
- A test returns p = 0.03. What does that mean?Statistics and inference · Applied
- The maximum likelihood estimator of a normal variance divides by n rather than n−1.Statistics and inference · Applied
- An estimator has a bias of 0.2 and a standard deviation of 0.3.Statistics and inference · Applied
- You lower your significance level from 5% to 1% without changing the sample. What happens?Statistics and inference · Applied
- You draw 1,000 bootstrap resamples and sort the statistics.Statistics and inference · Applied
- Your prior on a coin is Beta(2,2) and you observe 7 heads in 10 flips.Statistics and inference · Applied
- What does a 95% credible interval say that a 95% confidence interval does not?Statistics and inference · Applied
- A sample mean estimates μ = 2 with standard error 0.1.Statistics and inference · Applied
- One hundred waiting times are modelled as exponential with rate λ; their sample mean is 4.Statistics and inference · Applied
- A strategy won 220 of 400 trades.Statistics and inference · Applied
- Ten observations have sample standard deviation 2.Statistics and inference · Applied
- You compare two execution algorithms on the same 200 orders, measuring slippage…Statistics and inference · Applied
- Five tests give p-values 0.001,0.008,0.012,0.04,0.2.Statistics and inference · Applied
- You backtest 100 independent strategies, none with any edge, and call one a…Statistics and inference · Applied
- Your prior on a strategy’s alpha is normal with mean 0 and standard deviation 0.5%.Statistics and inference · Applied
- Your prior on an event rate is Gamma with shape 2 and rate 1 (mean 2 per period).Statistics and inference · Applied