Investment ROI Calculator
Understanding Investment Return on Investment (ROI)
Investment Return on Investment (ROI) is a fundamental metric used to evaluate the profitability of an investment. It measures the amount of return on a particular investment, relative to the investment's cost. In simpler terms, ROI tells you how much money you've made (or lost) compared to how much you put in.
How to Calculate ROI
The basic formula for ROI is:
ROI = [(Current Value of Investment – Cost of Investment) / Cost of Investment] * 100
This formula gives you the ROI as a percentage. For example, if you invested $10,000 and its current value is $15,000, your gain is $5,000. Your ROI would be ($5,000 / $10,000) * 100 = 50%.
Annualized ROI
While the basic ROI shows the total return, it doesn't account for the time the investment was held. To understand the performance over time, investors often calculate the Annualized ROI. The formula for Annualized ROI is:
Annualized ROI = [(1 + Total ROI)^(1 / Number of Years)] – 1
Where Total ROI is expressed as a decimal (e.g., 50% is 0.50).
Continuing the example: If the investment of $10,000 grew to $15,000 over 5 years, the Total ROI is 50% or 0.50. The Annualized ROI would be: [(1 + 0.50)^(1 / 5)] – 1 = (1.50^0.2) – 1 ≈ 1.0845 – 1 ≈ 0.0845, which is 8.45%. This means your investment generated an average annual return of 8.45%.
Why ROI is Important
ROI is a versatile tool that can be used to compare the performance of different investments, whether it's stocks, bonds, real estate, or even business projects. A higher ROI generally indicates a more profitable investment. It helps investors make informed decisions by quantifying the efficiency of their capital.
Example Calculation:
Let's say you purchased 100 shares of a stock at $50 per share, for a total Initial Investment of $5,000. After 3 years, the stock price has risen to $70 per share, making the Current Value of your investment $7,000. The Time Period is 3 years.
Total Gain = $7,000 – $5,000 = $2,000
ROI = ($2,000 / $5,000) * 100 = 40%
Total ROI (decimal) = $2,000 / $5,000 = 0.40
Annualized ROI = [(1 + 0.40)^(1 / 3)] – 1 = (1.40^0.3333) – 1 ≈ 1.1187 – 1 ≈ 0.1187, or 11.87%.
This calculation demonstrates that while the total return was 40% over three years, the annualized return was approximately 11.87%.