Compound Interest Account Calculator
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Reviewed by Calculator Editorial Team
Calculate the future value of your savings account with compound interest using our free online calculator. Learn how compound interest works, how to compute future value, and how to plan your investments.
How to Use This Calculator
Using our compound interest calculator is simple. Just enter the following information:
- Principal amount (the initial amount of money you're investing)
- Annual interest rate (the percentage your money will grow each year)
- Number of years (how long you plan to invest)
- Compounding frequency (how often your interest is calculated and added to your principal)
Click "Calculate" to see your future value. The calculator will show you how much your money will grow over time with compound interest.
Note: This calculator assumes the interest rate remains constant throughout the investment period. Real-world investments may have varying rates.
Compound Interest Formula
The future value (FV) of an investment with compound interest can be calculated using the following formula:
This formula shows how your principal grows over time with compound interest. The more frequently interest is compounded, the more your money will grow.
Example Calculation
If you invest $1,000 at an annual interest rate of 5% compounded quarterly for 10 years:
FV = 1000 × (1 + 0.05/4)^(4×10) = $1,643.65
Worked Example
Let's look at a practical example to understand how compound interest works.
Scenario
You deposit $5,000 into a savings account that offers an annual interest rate of 4%, compounded monthly. You plan to leave the money in the account for 5 years.
Calculation
- Principal (P) = $5,000
- Annual interest rate (r) = 4% or 0.04
- Compounding frequency (n) = 12 (monthly)
- Time (t) = 5 years
Using the compound interest formula:
After 5 years, your $5,000 investment will grow to approximately $6,210.43 with compound interest.
Comparison Table
| Year | Starting Balance | Interest Earned | Ending Balance |
|---|---|---|---|
| 1 | $5,000.00 | $198.71 | $5,198.71 |
| 2 | $5,198.71 | $203.94 | $5,402.65 |
| 3 | $5,402.65 | $209.18 | $5,611.83 |
| 4 | $5,611.83 | $214.42 | $5,826.25 |
| 5 | $5,826.25 | $219.67 | $6,045.92 |
This table shows how your investment grows year by year with compound interest. Notice how each year's interest is calculated on the previous year's ending balance.
Frequently Asked Questions
What is compound interest?
Compound interest is interest calculated on the initial principal and also on the accumulated interest of previous periods. This means your money grows exponentially over time.
How often should interest be compounded?
The more frequently interest is compounded, the more your money will grow. Common compounding frequencies are annually, semi-annually, quarterly, monthly, and daily.
What factors affect compound interest?
The principal amount, interest rate, compounding frequency, and investment duration all affect how much your money will grow with compound interest.
Is compound interest taxable?
In most countries, interest income from savings accounts is taxable. However, tax treatment may vary depending on your country's tax laws and the type of account you're using.
How can I maximize compound interest?
To maximize compound interest, invest regularly, keep your money invested for longer periods, and take advantage of higher interest rates when available.