Expected Utility

Expected utility is a theory in economics that describes how individuals make decisions under conditions of uncertainty by weighing the potential outcomes by their probabilities. It suggests that a person chooses the option that provides the highest average utility, or satisfaction, rather than simply the highest expected monetary value.

This is particularly relevant in options trading and derivatives, where traders must evaluate complex payoffs with varying probabilities of success. For example, a trader might choose a high-probability, low-reward trade over a low-probability, high-reward trade based on their personal risk preference.

Expected utility allows for the formal modeling of these preferences, showing how different levels of risk aversion influence the choices made in the market. It explains why people purchase insurance, why they gamble, and why they hold diverse investment portfolios.

By understanding expected utility, one can better predict market behavior and design financial products that align with the diverse needs of market participants. It is a cornerstone of decision theory and a powerful tool for analyzing how people interact with risk in financial markets.