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Expected Return Calculator

Expected Return Formula:

\[ \text{Expected Return} = \sum (Probability_i \times Return_i) \]

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1. What is Expected Return?

Expected return is a key financial concept that calculates the average of a probability distribution of possible returns. It represents the mean value of all possible outcomes, weighted by their respective probabilities.

2. How Does the Calculator Work?

The calculator uses the expected return formula:

\[ \text{Expected Return} = \sum (Probability_i \times Return_i) \]

Where:

Explanation: The formula multiplies each possible return by its probability and sums all these products to get the overall expected return.

3. Importance of Expected Return Calculation

Details: Expected return is fundamental in investment analysis, portfolio management, and risk assessment. It helps investors compare different investment opportunities and make informed decisions based on potential outcomes.

4. Using the Calculator

Tips: Enter probability values as decimals between 0 and 1 (e.g., 0.25 for 25% probability). Return values should be percentages (e.g., 15 for 15% return). You can enter up to 5 probability/return pairs.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between expected return and actual return?
A: Expected return is a statistical prediction based on probabilities, while actual return is what actually occurs. They often differ due to unforeseen market conditions.

Q2: Should probabilities always sum to 1?
A: Yes, for accurate calculation, the sum of all probabilities should equal 1, representing all possible outcomes.

Q3: Can expected return be negative?
A: Yes, if potential losses outweigh potential gains in the probability distribution, the expected return can be negative.

Q4: How is this different from average return?
A: Expected return considers probabilities of different outcomes, while average return simply calculates the mean of historical returns without probability weighting.

Q5: What are limitations of expected return?
A: It assumes probabilities are known accurately and doesn't account for the variability of returns (risk), which is why it's often used alongside risk measures like standard deviation.

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