# Expected Return Calculator

In Probability, *expected return* is the measure of the average expected probability of various rates in a given set. The process could be repeated an infinite number of times. The term is also referred to as expected gain or probability rate of return. Here is an online probability calculator which helps you to calculate the percentage of expected rates of return.

## Probability Rate of Return Calculator

In Probability, *expected return* is the measure of the average expected probability of various rates in a given set. The process could be repeated an infinite number of times. The term is also referred to as expected gain or probability rate of return. Here is an online probability calculator which helps you to calculate the percentage of expected rates of return.

Code to add this calci to your website

#### Formula:

Expected Rate of Return = Σ_{ ( i=1 to n )} R_{i} P_{i}

**Where,**
R_{i} = Return in Scenario i
P_{i} = Probability for the Return in Scenario i
i = Number of Scenarios
n= Total number of Probability and Return

#### Example

**For Probabilities,**

P_{1} = 30 R_{1}= 10

P_{2} = 45 R_{2} = 20

P_{3} = 25 R_{3} = 30

Expected Gain = (30 x 10) + (45 x 20) + (25 x 30)
= 300 + 900 + 750
=1950

Expressing in %, probability rate of return (expected return) is
1950 / 100 = 19.5 %