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.
86 questions · page 1 of 3 · Clear filters
- What is the smallest group of people that guarantees at least three share a birth month?Counting and combinatorics · Foundation
- A path from (0,0) to (4,4) takes unit steps right or up.Counting and combinatorics · Foundation
- A five-card hand is dealt from a standard deck.Counting and combinatorics · Applied
- How many squares, of any size, are there on an 8 × 8 chessboard?Counting and combinatorics · Applied
- A trade idea works independently with probability 0.25 each time it is tried.Probability · Foundation
- You may re-roll a fair six-sided die as often as you like, paying $1 each time you do.Probability · Advanced
- A stock at $100 follows a lognormal with zero expected return and 20% annual volatility.Probability · Advanced
- Two players take turns adding a whole number from 1 to 10 to a running total…Games, decision theory and puzzles · Foundation
- What is the angle, in degrees, between the hour and minute hands of a clock at 3:15?Games, decision theory and puzzles · Foundation
- A hundred closed doors.Games, decision theory and puzzles · Applied
- Two ropes each burn for exactly sixty minutes, but not at a uniform rate.Games, decision theory and puzzles · Applied
- Unlimited re-rolls of a fair die, but each re-roll costs $1 and you are paid…Games, decision theory and puzzles · Advanced
- Which order type executes whatever quantity is available immediately at your…Market making · Foundation
- Your base market is 49.98 bid, 50.02 offered.Market making · Foundation
- What is your theoretical value for the maximum of three fair six-sided dice, to…Market making · Applied
- In a trading game you sell 3 at 12, buy 2 at 10 and sell 4 at 13.Market making · Applied
- A stock at $60 declares a three-for-two split. What happens to the strike of a $60 call?Markets and products · Applied
- You buy the $100 call for $6 and sell the $110 call for $4.Options: fundamentals and arbitrage · Foundation
- You buy the $100 straddle for a combined premium of $12. What is the upper breakeven?Options: fundamentals and arbitrage · Foundation
- You buy the $50 put for $3 and the stock settles at $44. What is your profit per share?Options: fundamentals and arbitrage · Foundation
- You sell the $90 put for $2.50.Options: fundamentals and arbitrage · Foundation
- A stock trades at $50. Which of these options is in the money?Options: fundamentals and arbitrage · Foundation
- You buy 5 call contracts at a quoted price of $2.40.Options: fundamentals and arbitrage · Foundation
- You buy a call and sell a put with the same strike and expiry.Options: fundamentals and arbitrage · Foundation
- You sell the $100 put for $5 and buy the $95 put for $2.50.Options: fundamentals and arbitrage · Foundation
- When is it optimal to exercise an American call early on a stock paying no dividends?Options: fundamentals and arbitrage · Applied
- You sell the $95 put and the $105 call, and buy the $90 put and the $110 call…Options: fundamentals and arbitrage · Applied
- You buy the 25-delta call and sell the 25-delta put on the same expiry.Options: fundamentals and arbitrage · Applied
- Rates are zero. Calls on the same expiry are quoted at $12 for the $90 strike.Options: fundamentals and arbitrage · Applied
- The three-month $100 call trades at $5 and the six-month $100 call at $4, on a…Options: fundamentals and arbitrage · Applied
- A stock becomes hard to borrow and the borrow cost rises sharply.Options: fundamentals and arbitrage · Advanced
- European options, interest rates at zero.Options: fundamentals and arbitrage · Advanced
- You are short a call struck at exactly where the stock is trading into the…Options: fundamentals and arbitrage · Advanced
- When should you exercise an American call early?Options: fundamentals and arbitrage · Advanced
- You are convinced a stock will rise with probability 0.9 rather than the 0.5…Option pricing models · Applied · Free solution
- A stock is at $100, rates are zero, volatility is 20% and expiry is one year.Option pricing models · Applied
- Why are binomial trees still used when a closed form exists for European options?Option pricing models · Applied
- An at-the-money one-year option is worth $8.Option pricing models · Applied
- A one-year at-the-money call on a $100 stock has 20% volatility and zero rates.Option pricing models · Applied
- Price the one-year at-the-money call on a $100 stock at 20% volatility with…Option pricing models · Applied