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.
282 questions · page 5 of 8 · Clear filters
- A stock trades at $100 with no dividends.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
- European options, interest rates at zero.Options: fundamentals and arbitrage · Advanced
- Puts on the same expiry are quoted at $2 for the $90 strike, $6 for the $100…Options: fundamentals and arbitrage · Advanced
- A stock at $100 goes to $120 or $90 in one period, rates are zero.Option pricing models · Foundation
- You are convinced a stock will rise with probability 0.9 rather than the 0.5…Option pricing models · Applied · Free solution
- Why is the risk-neutral probability used in option pricing generally different…Option pricing models · Applied
- Same two-period tree: $100 stock, factors 1.2 and 0.8, zero rates.Option pricing models · Advanced
- A one-year at-the-money payer swaption has an annuity of 1 and a normal…Option pricing models · Advanced
- The Black–Scholes PDE is Θ+1/2σ²S²Γ+rSΔ−rV = 0.Option pricing models · Advanced
- Why is the Crank–Nicolson scheme popular for pricing with the Black–Scholes…Option pricing models · Advanced
- Adding jumps to a diffusion model mainly changes the prices of which options?Option pricing models · Advanced
- A one-year at-the-money call on a $100 stock has 20% volatility and rates are zero.The Greeks and hedging · Advanced
- A contract covers 100 shares, gamma is 0.05 per share and theta is −$6 per…The Greeks and hedging · Advanced
- With zero rates, Black–Scholes theta is Θ = −1/2σ²S²Γ.The Greeks and hedging · Advanced
- You delta-hedge a long option n times over its life instead of continuously.The Greeks and hedging · Expert
- One-month implied volatility is 30% and three-month is 20%.Volatility · Advanced
- A variance swap struck at 20% has a vega notional of $100,000 per volatility point.Volatility · Advanced
- Under a sticky-delta regime, what happens to the implied volatility of a fixed…Volatility · Advanced
- You bought an option and delta-hedged it daily.Volatility · Advanced
- Index implied volatility is 18% and the average single-name implied volatility…Volatility · Expert
- A cash-or-nothing digital call pays $1 if the stock finishes above K; rates are zero.Volatility · Expert
- You replicate a digital paying $1 above the strike using a call spread half a dollar wide.Exotics and structured products · Applied
- A vanilla put is worth $8 and the corresponding down-and-out put is worth $3.Exotics and structured products · Applied
- A chooser lets you decide at time t whether you hold a call or a put, both…Exotics and structured products · Advanced
- A one-year one-touch pays $1 at expiry if the stock ever trades at $120…Exotics and structured products · Advanced
- Model a price as an arithmetic Brownian motion with no drift and a normal…Exotics and structured products · Advanced
- A quanto pays a foreign index in domestic currency at a fixed rate.Exotics and structured products · Expert
- Why can some barrier options be hedged with a static portfolio of vanillas…Exotics and structured products · Expert
- Rates and dividends are zero.Exotics and structured products · Expert
- Which statement about the central limit theorem is correct?Statistics and inference · Applied · Free solution
- Your prior on a coin is Beta(2,2) and you observe 7 heads in 10 flips.Statistics and inference · Applied
- A fair die is rolled 100 times.Statistics and inference · Applied
- A die is rolled 60 times, giving counts 5,8,9,8,10,20 for faces one to six.Statistics and inference · Applied
- A bootstrap sample draws 100 observations with replacement from 100.Statistics and inference · Applied
- An analyst checks an A/B test every day and stops the first time p < 0.05.Statistics and inference · Applied
- A two-sided test at α = 5% compares two arms of 64 with a true standardised effect of 0.5.Statistics and inference · Advanced
- You average n independent standard Cauchy random variables.Statistics and inference · Advanced
- Nineteen independent draws come from a uniform distribution on [0,θ], and the…Statistics and inference · Advanced