TL;DR
Risk-Neutral Pricing: Expectation Under Q: A canonical quantitative trading interview question at olympiad difficulty. Commonly asked at Citadel, Two Sigma, DE Shaw, Point72, Millennium.
By Valenke Exam Prep Team·Last updated 2026-06-01
olympiadGame Theory & Strategy
Risk-Neutral Pricing: Expectation Under Q
Asked at: Citadel, Two Sigma, DE Shaw, Point72, Millennium
Problem
A stock follows geometric Brownian motion with , , , and risk-free rate . A derivative pays at time .
(a) What is the price of this derivative using risk-neutral pricing?
(b) Why does not appear in the answer?
(c) What is under the real-world measure? Why is it different?
Related concepts
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