Calculate expected utility to make rational decisions when facing uncertain outcomes. Perfect for investment analysis, portfolio management, and strategic decision-making.
| Values | |
|---|---|
| Event 1 Utility | 79.06 |
| Event 2 Utility | 134.16 |
| Expected Utility | 113.85 |
Expected utility is a measure that is commonly applied to making rational decisions when presented with a scenario with several possible outcomes. Expected utility theory can help you evaluate choices based on the benefit or loss they would provide in a quantifiable way.
Utility is the value that an outcome has to the relevant individual. The utility value you choose for each outcome is subjective and may vary between individuals as utility functions depend on personal preferences, risk appetite, and other circumstances.
When coupled with probability, which is the likelihood of each outcome happening, the expected utility provides a way to make consistent and rational choices.Probability is the chance each outcome has of occurring. Combined with probability, expected utility is a measure that can help you make consistent and rational choices.
Expected utility can be calculated using the following formula:
EU = (P₁ × √V₁) + (P₂ × √V₂)
Where:
Consider two investment options:
Investment A:
Investment B:
Expected Utility = (0.4 × √10,000) + (0.6 × √20,000) = 113.85
Expected utility is a valuable metric commonly used in finance. It can be used to balance portfolios by evaluating the risk-reward ratio of different assets. It is common for investors to have different levels of risk tolerance, as well as investment profiles and preferences. In such cases, sometimes it is more valuable to evaluate a portfolio by its expected utility rather than just by its returns.
Businesses also have to make investment decisions on a regular basis that have uncertain returns. Expected utility can be used to help them make investment choices that are most in line with their financial goals and risk tolerance instead of accidentally taking on ventures that might be too risky if the negative outcomes occur.
Expected utility is also used in negotiations quite often. During a negotiation, the different terms will have varying levels of utility to the different parties. Estimating the expected utility of different contract terms can allow negotiators to more easily determine which ones are more important to them based on the value of each outcome, and how likely they are to occur.
