Compound Interest Calculator
Calculate the future value of your savings or investments with compound interest. Determine total interest growth across annual, semiannual, quarterly, monthly, and daily compounding frequencies.
Calculate Compound Growth
Enter your principal deposit, interest rate, investment duration, and compounding schedule.
Compound Growth Summary
Quick Summary
This compound interest calculator helps investors and savers project exponential wealth accumulation over time. By adjusting your principal deposit, annual interest rate, time horizon, and compounding interval, you can instantly see:
- Future Value: The total balance of your investment at the end of the term.
- Total Interest Earned: The cumulative profit generated solely through interest compounding.
- Compounding Impact: How higher compounding frequencies (such as monthly or daily) accelerate interest growth compared to annual compounding.
How to Use the Compound Interest Calculator
- Enter your initial Principal Amount (starting deposit).
- Enter the expected Annual Interest Rate (percentage yield).
- Enter the planned Time Period in years.
- Select your preferred Compound Frequency (Annually, Semiannually, Quarterly, Monthly, or Daily).
- Click Calculate to display your future balance and interest growth.
- Click Reset to restore default inputs and perform another calculation.
Compound Interest Formula
The total future value ($A$) of a compound interest deposit is calculated using the standard mathematical formula:
Where:
- A: Total Future Value accumulated
- P: Initial Principal deposit
- r: Annual interest rate as a decimal ($\text{Annual Rate} \div 100$)
- n: Number of compounding periods per year ($1, 2, 4, 12, 365$)
- t: Total time duration in years
Total Interest Earned
The total interest profit ($I$) earned over the investment term equals the future value minus the starting principal:
Zero-Interest Case
If the annual interest rate is 0%, no interest is earned and the future value equals the starting principal:
Worked Examples
Example 1: $10,000 at 5% for 10 Years (Annually)
- Principal (P): $10,000
- Rate (r): 0.05 | Periods (n): 1 per year | Years (t): 10
- Formula: $10,000 À” (1 + 0.05 ÷ 1)^(1 À” 10) = $10,000 À” (1.05)^10
Future Value: $16,288.95 | Total Interest Earned: $6,288.95
Example 2: $10,000 at 5% for 10 Years (Monthly Compounding)
- Principal (P): $10,000
- Rate (r): 0.05 | Periods (n): 12 per year | Years (t): 10
- Formula: $10,000 À” (1 + 0.05 ÷ 12)^(12 À” 10) = $10,000 À” (1.0041667)^120
Future Value: $16,470.09 | Total Interest Earned: $6,470.09
Example 3: $10,000 at 5% for 10 Years (Daily Compounding)
- Principal (P): $10,000
- Rate (r): 0.05 | Periods (n): 365 per year | Years (t): 10
Future Value: $16,486.65 | Total Interest Earned: $6,486.65
Frequently Asked Questions (FAQ)
What is compound interest?
Compound interest is interest calculated on both the initial principal deposit and the accumulated interest from previous compounding periods, accelerating growth over time.
What is the difference between simple interest and compound interest?
Simple interest is calculated only on the starting principal. Compound interest earns interest on interest, resulting in faster exponential growth.
How does compounding frequency affect my growth?
Higher compounding frequencies (such as monthly or daily) calculate interest more often, yielding higher total interest earned over time compared to annual compounding.
Can I calculate a 0% interest rate?
Yes. Entering an interest rate of 0% results in $0 total interest earned, leaving the future value equal to your starting principal.
Does this calculator include regular monthly contributions?
No. Version 1 of this calculator models single lump-sum initial deposits. Ongoing periodic contributions are excluded.