: Explain it simply to someone non-technical. Derive the model and gradient updates.
Explain the relationship between Delta, Gamma, and Theta via the Black-Scholes PDE equation.
for option pricing. How would you ensure efficiency and accuracy, especially for complex derivatives?
For front-office quant roles, you must know the "Greeks" and the Black-Scholes model. This is where the heavy mathematics comes into play.
: How can Monte Carlo handle early exercise? Explain the Longstaff-Schwartz algorithm. 150 Most Frequently Asked Questions On Quant Interviews
Explain the difference between two time series being correlated versus being cointegrated. Which is safer for a pairs trading strategy?
Interviewers are looking for the concept of Expected Value (EV) and Game Theory . In the dice game, you should re-roll if the first result is less than the expected value of a single roll (3.5). So, you keep 4, 5, and 6. This changes the calculation for the total value of the game.
2. Stochastic Calculus & Quantitative Finance (30 Questions)
: Urn A contains 5 white and 2 red balls. Urn B contains 3 white and 3 red balls. A ball is drawn from A and placed into B, then a ball is drawn from B and is black. What is the probability the first ball was red? : Explain it simply to someone non-technical
: Four people need to cross a bridge at night with one torch. Their crossing times are 1,2,5,10 minutes. The torch must be carried and only two people can cross at a time. What's the minimum total time? Answer : 17 minutes.
: Reason about models for quantitative trading, considering latency, interpretability, data volume, and sensitivity to market regime shifts.
Why can an American call option on a non-dividend-paying stock never be optimally exercised early?
: How do you set position limits and stop-losses based on VaR or expected shortfall? for option pricing
: What is the probability that the last ball in a basket of M green and N red apples is green? Answer : M/(M+N).
Before you get to the complex probability, you must survive the mental arithmetic. Firms expect candidates to perform rapid calculations without a pen and paper. This tests processing speed and the ability to find shortcuts.
: You have 9 coins, one is counterfeit and either heavier or lighter. In three weighings, find the counterfeit and determine if it's heavier or lighter.