Expected Utility Calculator

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advanced

Calculate expected utility of an investment.

Formula

EU = sum(p_i x U(w_i))

Compare two scenarios side-by-side

Outcome 1 Value

Outcome 1 Probability

Outcome 2 Value

Outcome 2 Probability

Risk Aversion (0-5)

Expected Value

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Expected Utility

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About This Calculator & Guide

About the Expected Utility Calculator

The Expected Utility Calculator is a dedicated tool in our Finance category designed to help you calculate expected utility of an investment in seconds. By automating the underlying mathematics, this utility eliminates manual calculations and provides reliable, instantaneous estimations.

Mathematical Principles & Calculation Steps

To compute the results, the calculation engine processes your custom inputs: Outcome 1 Value ($), Outcome 1 Probability (%), Outcome 2 Value ($), Outcome 2 Probability (%), Risk Aversion (0-5). Specifically, the calculations are evaluated using the standard relationship: EU = sum(p_i x U(w_i)). All computations are performed locally within your secure browser session, ensuring absolute data privacy and instantaneous updates without any network delay.

Worked Step-by-Step Calculation Example

Worked Example Sandbox

For illustrative purposes, consider the following calculation using our default values. When we initialize the input fields with Outcome 1 Value = 50000 $, Outcome 1 Probability = 60 %, Outcome 2 Value = 20000 $, Outcome 2 Probability = 40 %, Risk Aversion (0-5) = 1, the client-side calculator processes the numbers to resolve the formula and produce the final outputs: Expected Value = 38,000 $ and Expected Utility = 10.453.

How to Use This Calculator

Set Inputs: Adjust the input values: Outcome 1 Value, Outcome 1 Probability, Outcome 2 Value to match your scenario.
Verify Outputs: The outputs: Expected Value, Expected Utility are updated in real-time on your screen.
Iterate: Change values and compare alternative scenarios to find your optimal result.

Validated Sources & References:

Frequently Asked Questions

What does the Expected Utility Calculator calculator do?+

Calculate expected utility of an investment. It is part of the Finance category on WebCalcSys and provides instant, accurate results. Simply enter your values and the calculator computes the answer in real time — no downloads or sign-ups required.

How do I use the Expected Utility Calculator calculator?+

Enter the required values (Outcome 1 Value, Outcome 1 Probability, Outcome 2 Value, Outcome 2 Probability, Risk Aversion (0-5)) into the input fields. The calculator processes your data instantly and displays Expected Value, Expected Utility in real time. You can adjust any input to run what-if scenarios.

What formula does the Expected Utility Calculator calculator use?+

This calculator uses the formula: EU = sum(p_i x U(w_i)). It is based on standard finance principles and is trusted by students, professionals, and educators worldwide.