Compound Interest Calculator
Use this compound interest calculator to see how your savings or investments can grow over time with the power of compounding.
Future Value: $0.00
Compound Interest Calculator Online: Calculate Your Investment Growth Easily
Introduction
A Compound Interest Calculator online is a powerful tool that helps you calculate how your money grows over time with the power of compound interest. Unlike simple interest, compound interest allows your earnings to generate more earnings, making it essential for savings, investments, and long-term financial planning.
This calculator is useful for investors, savers, students, and financial planners. With a compound interest calculator, you can see how your initial deposit, regular contributions, interest rate, and compounding frequency affect your total wealth over time.
Formula / Working
The Compound Interest Calculator uses the formula: A=P×(1+rn)n×tA = P \times \left(1 + \frac{r}{n}\right)^{n \times t}A=P×(1+nr)n×t
Where:
- AAA = Future value (total amount)
- PPP = Principal amount (initial deposit)
- rrr = Annual interest rate (in decimal)
- nnn = Number of times interest is compounded per year
- ttt = Time in years
With regular contributions: A=P×(1+rn)n×t+C×(1+rn)n×t−1r/nA = P \times \left(1 + \frac{r}{n}\right)^{n \times t} + C \times \frac{(1 + \frac{r}{n})^{n \times t} – 1}{r/n}A=P×(1+nr)n×t+C×r/n(1+nr)n×t−1
Where:
- CCC = Regular contribution per period
Explanation:
- The first part calculates compound interest on the initial deposit.
- The second part calculates compound interest on ongoing contributions.
- This formula demonstrates how both principal and contributions grow with compounding.
Step-by-Step Usage
Using a Compound Interest Calculator online is simple:
- Open the compound interest calculator website.
- Enter your initial deposit.
- Enter your regular contribution (if any).
- Enter the annual interest rate.
- Select the compounding frequency (yearly, quarterly, monthly, daily).
- Enter the number of years you plan to invest.
- Click “Calculate” to see your total investment growth.
The calculator shows your future value, total contributions, and interest earned, helping you plan your finances effectively.
Examples
Example 1: Simple Compound Interest
- Principal: $5,000
- Annual Interest Rate: 5%
- Compounded Yearly
- Time: 10 years
A=5000×(1+0.051)1×10≈8144A = 5000 \times (1 + \frac{0.05}{1})^{1 \times 10} \approx 8144A=5000×(1+10.05)1×10≈8144
Result: Total amount is approximately $8,144. Interest earned = $3,144.
Example 2: Monthly Contributions
- Principal: $2,000
- Monthly Contribution: $100
- Interest Rate: 6% per year
- Compounded Monthly
- Time: 5 years
A=2000×(1+0.0612)12×5+100×(1+0.0612)12×5−10.06/12≈9,061A = 2000 \times (1 + \frac{0.06}{12})^{12 \times 5} + 100 \times \frac{(1 + \frac{0.06}{12})^{12 \times 5} – 1}{0.06/12} \approx 9,061A=2000×(1+120.06)12×5+100×0.06/12(1+120.06)12×5−1≈9,061
Result: Total amount is approximately $9,061. Interest earned = $3,061.
Example 3: Long-Term Investment
- Principal: $10,000
- Annual Contribution: $2,000
- Interest Rate: 7% per year
- Compounded Annually
- Time: 20 years
A=10000×(1+0.07)20+2000×(1+0.07)20−10.07≈121,567A = 10000 \times (1 + 0.07)^{20} + 2000 \times \frac{(1 + 0.07)^{20} – 1}{0.07} \approx 121,567A=10000×(1+0.07)20+2000×0.07(1+0.07)20−1≈121,567
Result: Total amount is approximately $121,567. Interest earned = $71,567.
FAQs
1. What is compound interest?
Compound interest is the interest calculated on both the initial principal and the accumulated interest from previous periods.
2. How often can interest be compounded?
Interest can be compounded yearly, quarterly, monthly, weekly, or daily depending on your investment or savings account.
3. Can this calculator include regular contributions?
Yes, it can calculate the effect of ongoing contributions on your investment growth.
4. How does compound interest differ from simple interest?
Simple interest is calculated only on the principal, while compound interest grows faster as it includes interest on interest.
5. Is this calculator suitable for retirement planning?
Absolutely. It helps project long-term savings and investments, which is essential for retirement planning.