Risk Neutral Valuation
Risk Neutral Valuation is a fundamental principle in quantitative finance which posits that the fair price of a derivative can be calculated by assuming all investors are indifferent to risk. Under this assumption, the expected return on all assets is the risk-free rate, and the probabilities used for future outcomes are risk-neutral probabilities rather than real-world probabilities.
This simplification is incredibly powerful because it allows for the consistent pricing of derivatives without needing to know the specific risk preferences of market participants. In practice, this means that the price of an option is the discounted expected value of its future payoff under the risk-neutral measure.
This framework is the mathematical foundation for most pricing models used in crypto derivatives and options trading today. It ensures that there are no arbitrage opportunities in the market.