Rate of Return (RoR) Calculator
Calculation Results
Total Return:
Total Percentage Gain:
Annualized Rate of Return (CAGR):
How to Find Rate of Return on a Financial Calculator
Understanding how to calculate the rate of return (RoR) is a fundamental skill for any investor. Whether you are using a dedicated handheld financial calculator like the TI BA II Plus or HP 12b, or using an online tool, the logic remains the same. The Rate of Return measures the profit or loss of an investment over a specific period, expressed as a percentage of the investment's cost.
The Financial Calculator Method (Step-by-Step)
If you are using a physical financial calculator, you will typically use the Time Value of Money (TVM) buttons. To find the annual rate of return (represented as I/Y or i), follow these steps:
- N (Number of Periods): Enter the number of years or months.
- PV (Present Value): Enter the initial investment as a negative number (representing cash flowing out).
- PMT (Payment): Enter 0 if there are no recurring contributions.
- FV (Future Value): Enter the final value of the investment as a positive number.
- CPT (Compute): Press the CPT button and then the I/Y button.
The Mathematical Formula
Our calculator above uses the Annualized Rate of Return formula (also known as CAGR – Compound Annual Growth Rate), which is essential for comparing investments held for different lengths of time:
Where t is the time in years. This provides a more accurate picture than a simple return because it accounts for the effects of compounding over time.
Example Calculation
Suppose you invested $5,000 in a mutual fund and 5 years later, the balance grew to $7,500. Here is how the math works:
- Total Gain: $2,500 (50%)
- Annualized RoR: [(7,500 / 5,000)^(1/5)] – 1 = 8.45%
While the total growth was 50%, the specific rate of return per year was 8.45%. This is the metric professional investors use to benchmark performance against indices like the S&P 500.