Calculate Brokerage Account Growth
Tracking brokerage account growth helps investors understand their investment performance over time. This calculator helps you calculate the growth of your investments by considering the initial investment, annual contribution, and expected annual return rate.
How to Use This Calculator
To calculate your brokerage account growth, follow these steps:
- Enter your initial investment amount in the "Initial Investment" field.
- Enter your annual contribution amount in the "Annual Contribution" field.
- Enter the expected annual return rate in the "Annual Return Rate" field (as a percentage).
- Select the investment period from the dropdown menu.
- Click the "Calculate" button to see your results.
The calculator will display your future value, total contribution, and total return. You can also view a growth chart to visualize your investment performance over time.
Formula Explained
The future value of your brokerage account is calculated using the future value of an annuity formula:
Future Value (FV) = P × (1 + r)^n + PMT × [(1 + r)^n - 1] / r
Where:
- P = Initial investment
- PMT = Annual contribution
- r = Annual return rate (as a decimal)
- n = Number of years
This formula accounts for both the initial investment and the regular contributions, compounded annually.
Worked Example
Let's say you invest $10,000 initially, contribute $2,000 annually, and expect a 7% annual return over 10 years.
Future Value = $10,000 × (1 + 0.07)^10 + $2,000 × [(1 + 0.07)^10 - 1] / 0.07
Calculating this gives you a future value of approximately $45,800.
This example shows how regular contributions and compound interest can significantly grow your investment over time.
Interpreting Results
When you calculate your brokerage account growth, consider the following:
- Future Value: This is the total amount your investment will be worth at the end of the selected period.
- Total Contribution: This is the sum of your initial investment and all annual contributions.
- Total Return: This is the difference between the future value and the total contribution, showing the profit from your investments.
Use this information to assess your investment performance and make informed decisions about your financial future.