Risk-Neutral Probability Interview Guide
Risk-neutral probability interview guide for no-arbitrage pricing, pricing measures, real-world probability contrast, examples, and caveats.
Candidates seeing derivatives pricing, martingale, or no-arbitrage prompts.
Risk-neutral probability is a pricing tool
Risk-neutral probabilities are used to price payoffs by discounted expected value under a no-arbitrage pricing measure. They are not automatically real-world beliefs.
No-arbitrage drives the construction
In a simple binomial model, risk-neutral probability is chosen so the discounted underlying price is consistent with no arbitrage. It supports replication pricing.
Concrete example
A one-step tree can assign a risk-neutral up probability that prices the stock correctly after discounting. That probability may differ from the trader prediction of an up move.
Separate pricing from forecasting
Real-world probability is about what might actually happen. Risk-neutral probability is about prices under a pricing framework, including risk premia through the measure change.
Common mistakes
Candidates often call risk-neutral probability the true probability. Strong answers say it is a no-arbitrage pricing device and explain the distinction.
Practice the pattern
Use the LeetQuidity curriculum and calibration to turn this topic into a focused practice plan.