Rate of Return Calculator
Calculate total rate of return and compound annual growth rate (CAGR) on investments including dividends and cash income.
Understanding Rate of Return (RoR)
The Rate of Return (RoR) is the net gain or loss of an investment over a specified time period, expressed as a percentage of the investment's initial cost. It accounts for both capital gains (the change in asset price) and any cash flows derived from the investment, such as stock dividends or bond interest payments.
Formula for Rate of Return
The standard simple Rate of Return is calculated using:
$$\text{Rate of Return (\%)} = \frac{(\text{Current Value} + \text{Dividends}) - \text{Initial Cost}}{\text{Initial Cost}} \times 100$$
Annualized Rate of Return (CAGR)
When evaluating investments held over multiple years, comparing absolute total returns can be misleading. The Annualized Rate of Return (Compound Annual Growth Rate, or CAGR) measures the geometric mean return per year:
$$\text{Annualized Return (\%)} = \left[\left(\frac{\text{Total End Value}}{\text{Initial Cost}}\right)^{\frac{1}{n}} - 1\right] \times 100$$
Frequently Asked Questions
What is the difference between total return and annualized return?
Total return measures the cumulative gain or loss over the entire holding period regardless of time. Annualized return measures the equivalent steady growth rate required per year to reach that final total return over the specified number of years.
Why should dividends or interest be included in rate of return?
Dividends and interest payments represent direct financial returns received during the investment period. Excluding them underestimates the total performance of income-generating assets like stocks or bonds.