500+ quant interview questions for Jane Street, Citadel, Two Sigma, DE Shaw, and other top quantitative finance firms.
C++ and Python coding challenges for quant developer interviews
Statistical analysis and quantitative modeling problems
Trading MCQs, probability brainteasers, and market scenarios
Practice quant interview questions on MyntBit - the all-in-one quant learning platform. Free questions available for C++ coding, Python problems, probability brainteasers, and trading MCQs.
Difficulty: Hard
Category: Stochastic Calculus
Practice quant interview questions from top firms including Jane Street, Citadel, Two Sigma, DE Shaw, and other leading quantitative finance companies.
Topics: stochastic calculus, martingale, brownian motion, expectation
Let $W_t$ be a standard Brownian motion. Define a stochastic process $M_t$ as: $M_t = \exp(\theta W_t - \frac{1}{2}\theta^2 t)$ where $\theta$ is a constant. Assuming $M_t$ is a martingale with respect to the filtration generated by $W_t$, what is the value of $EM_t$?
Practice this hard trader interview question on MyntBit - the all-in-one quant learning platform with 500+ quant interview questions for Jane Street, Citadel, Two Sigma, and other top quantitative finance firms.