Investment Return Calculator
Calculate total and annualized returns.
Step-by-Step Solution
About Investment Return Calculator
Calculate total and annualized returns. This calculator provides instant results with step-by-step explanations to help you understand the calculation process.
How to use this calculator
- Enter the starting investment amount.
- Enter the ending value of the investment.
- Add any income received, such as dividends or interest.
- Enter the holding period in years to find the annualized return.
- Review the total return and annualized return results.
The formula explained
$$ \text{Total Return} = \frac{\text{Ending Value} - \text{Beginning Value} + \text{Income}}{\text{Beginning Value}} \times 100, \quad \text{Annualized Return} = \left(\frac{\text{Ending Value}}{\text{Beginning Value}}\right)^{\frac{1}{n}} - 1 $$
- \(\text{Total Return}\) = overall gain or loss as a percentage
- \(\text{Annualized Return}\) = average yearly return as a percentage
- \(\text{Ending Value}\) = value of the investment at the end
- \(\text{Beginning Value}\) = initial amount invested
- \(\text{Income}\) = dividends, interest, or other cash received
- \(n\) = number of years the investment was held
Step by step method
- Start with the initial amount you invested and the value it grew to at the end.
- Include any income you received during the holding period, because that is part of your total gain.
- Compute total return by comparing gain to the original amount invested.
- Compute annualized return by spreading the growth over the number of years held.
Worked example
Suppose you invested 1,000 dollars, the investment ended at 1,260 dollars, and you received 40 dollars in dividends over 2 years.
- First find the total gain: \(1260 - 1000 + 40 = 300\).
- Then calculate total return: \(300 \div 1000 = 0.30\), which is 30 percent.
- For annualized return, use \(\left(\frac{1260}{1000}\right)^{\frac{1}{2}} - 1 \approx 0.1225\), which is about 12.25 percent per year.
Answer. Total return is 30 percent, and annualized return is about 12.25 percent per year.
Tips and common mistakes
- Include dividends, interest, and other income if you want the full return.
- Use the same time period throughout, and enter years consistently for annualized return.
- Do not confuse total return with profit in dollars - total return is a percentage.
- If you compare investments held for different lengths of time, annualized return is usually the better number to compare.
Frequently asked questions
What is the difference between total return and annualized return?+
Total return shows the overall percentage gain or loss over the full holding period. Annualized return shows the average yearly growth rate over that same period. They answer different questions, so both can be useful.
Should I include dividends or interest?+
Yes, if you want a complete return calculation. Income from the investment is part of your overall gain, so leaving it out can understate the result. If you ignore income on purpose, you are only measuring price change.
Can this calculator handle a loss?+
Yes, it can show a negative return if the ending value is below the beginning value. That means the investment lost value over the period. The annualized result can also be negative.
Why is annualized return useful?+
It makes investments with different holding periods easier to compare. A short investment and a long investment can have very different total returns, but annualized return puts them on a yearly basis. That helps you compare performance more fairly.
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