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Calculate compound interest, present value, and future value online. Enter your principal, interest rate, term, and compounding frequency to get instant results.
Enter the amount invested today to calculate its future accumulated value
View how the principal grows at the current rate and compounding frequency
| Time | Ending balance (CNY) | Total interest (CNY) |
|---|---|---|
| Year 1 | 10,511.62 | 511.62 |
| Year 2 | 11,049.41 | 1,049.41 |
| Year 3 | 11,614.72 | 1,614.72 |
| Year 4 | 12,208.95 | 2,208.95 |
| Year 5 | 12,833.59 | 2,833.59 |
| Year 6 | 13,490.18 | 3,490.18 |
| Year 7 | 14,180.36 | 4,180.36 |
| Year 8 | 14,905.85 | 4,905.85 |
| Year 9 | 15,668.47 | 5,668.47 |
| Year 10 | 16,470.09 | 6,470.09 |
A $100,000 principal compounded annually at 5% grows to about $162,900 in 10 years—that’s the power of compound interest. Whether you’re planning for retirement, estimating an education fund, or comparing long-term investment returns, compound interest helps you see how your money can grow. Our compound interest calculator supports both present value and future value calculations, so you can quickly answer: “How much do I need to invest today?” or “What could this money be worth later?”
Compound interest means earning interest on both your original principal and the interest you’ve already earned. Unlike simple interest, which is calculated only on the principal, compound interest can create greater growth over time. In finance, present value (PV) is the value today of a future amount discounted at a given return rate. Future value (FV) is what a current amount may be worth at a future date after compounding. This calculator turns those concepts into clear, practical numbers.
The standard compound interest formula for future value is:
FV = PV × (1 + r/n)n×t
Where:
• PV = present value (principal)
• FV = future value
• r = annual interest rate as a decimal (for example, 5% = 0.05)
• n = number of compounding periods per year (for example, annually n=1; monthly n=12)
• t = investment term in years
To calculate present value from a known future value:
PV = FV / (1 + r/n)n×t
At the end of each period, the principal is multiplied by (1+r/n). After n×t periods, it has grown by a factor of (1+r/n)n×t. More frequent compounding produces a higher future value, though growth is not unlimited: as n approaches infinity, the result approaches continuous compounding, with a limit of PV×er×t. The calculator applies the appropriate formula based on your selected compounding frequency—just enter your numbers to see the result.
At the top of the page, you’ll find straightforward inputs and a results card. Here’s how to use it:
1. Choose a calculation mode: “Calculate Future Value” or “Calculate Present Value.”
2. Enter the amount you plan to invest in the “Principal / Present Value” field, such as 100000.
3. Enter your expected annual return in the “Annual Interest Rate (%)” field. Enter numbers only—for example, 5 for 5%.
4. Enter the number of years you plan to invest in the “Investment Term” field, such as 10.
5. Select the interest crediting period from “Compounding Frequency”: annually, semiannually, quarterly, monthly, or daily.
6. Click “Calculate.” The results card will instantly show the calculated future value (or present value) and total interest. To switch directions, select the other mode—your inputs will remain in place.
Alex plans to invest $50,000 for the long term. They found an investment product with a 4% annual return, compounded annually, and want to know what it could be worth after 20 years.
In the calculator:
• Select “Calculate Future Value”
• Enter 50000 for “Principal / Present Value”
• Enter 4 for “Annual Interest Rate (%)”
• Enter 20 for “Investment Term”
• Select “Annually” for “Compounding Frequency”
• Click Calculate
Calculation:
FV = 50000 × (1 + 0.04/1)1×20 = 50000 × (1.04)20 ≈ 50000 × 2.191123 = $109,556.16
The calculator shows a future value of about $109,556, including $59,556 in interest. In other words, after 20 years, the original investment has grown by nearly 1.2 times. With simple interest at the same rate, the interest earned over 20 years would be only $40,000—nearly $20,000 less than with compounding.
Example 1: The Effect of Compounding Frequency
Invest $10,000 at 6% annually for 5 years and compare the future value at different compounding frequencies.
• Compounded annually: FV = 10000 × (1.06)5 = $13,382.26
• Compounded monthly: FV = 10000 × (1 + 0.06/12)12×5 ≈ 10000 × 1.34885 = $13,488.50
The difference is $106.24. More frequent compounding produces a higher future value. Simply change the “Compounding Frequency” dropdown to compare results instantly.
Example 2: Present Value Calculation
Maya wants to have $200,000 in 10 years for her child’s education. She found a conservative investment earning 5% annually, compounded annually. How much would she need to invest as a lump sum today?
• Select “Calculate Present Value”
• Enter 200000 for “Future Value”
• Enter 5 for “Annual Interest Rate (%)”
• Enter 10 for “Investment Term”
• Select “Annually” for “Compounding Frequency”
• Click Calculate
PV = 200000 / (1.05)10 ≈ 200000 / 1.628895 = $122,782.65. The calculator shows that she would need about $122,783 today, giving her a clear savings target.
Once you have a future value (or present value), here are a few useful ways to read it:
• A future-value-to-principal ratio above 1 means the investment has gained value. The larger the ratio, the more pronounced the compounding effect. For example, growing 1.6× over 10 years or 2.2× over 20 years can both be reasonable outcomes.
• At lower annual rates, such as 2%, long-term growth is slower but may be steadier. Higher rates, such as 8% or more, can produce faster growth but usually come with greater risk.
• In a present value calculation, a lower required present value means your goal may be easier to reach. A high required amount may indicate that the target is ambitious or the assumed return is too low—you may need more time or a higher-return option.
• Comparing compounding frequencies can help you evaluate interest crediting options. At the same annual rate, monthly compounding earns slightly more than annual compounding, although the difference is usually only a small percentage of the principal.
The calculator also shows total interest, making the cumulative “money earning money” effect easy to see.
Keep these common pitfalls in mind when using a compound interest calculator:
1. Confusing nominal and effective rates: If the stated annual rate is 8% and interest compounds monthly, the effective annual yield is slightly higher than 8%—about 8.30%—because interest is added more often. Enter the stated nominal annual rate and choose the matching compounding frequency; the calculator handles the rest.
2. Ignoring inflation: Results are shown in nominal dollars, and purchasing power can decline substantially over decades. With 3% inflation, $1,000,000 in 20 years has purchasing power of roughly $550,000 today. This tool does not automatically adjust for inflation; you can estimate a real return by subtracting the inflation rate from the nominal rate before entering it.
3. Entering the rate incorrectly: Enter 5 to mean 5%, not 0.05. Entering 0.05 would be treated as 0.05%, producing an unrealistic result. The % symbol beside the field is a reminder.
4. Withdrawing early and interrupting compounding: Compounding assumes that both principal and interest remain invested at the same rate throughout the term. Withdrawing funds along the way interrupts that cycle, so actual returns may be much lower than the calculation. Results represent an idealized scenario and may not apply to products with early-withdrawal terms.
5. Ignoring taxes: Interest income is often taxable. Results are shown before tax, so your actual proceeds may be lower—particularly for high-yield bonds or dividend investments.
Q: How much difference does compound interest make compared with simple interest?
A: Simple interest is calculated only on the principal, while compound interest adds each period’s interest to the balance. For $100,000 at 5% for 10 years, simple interest produces a future value of $150,000, while compound interest produces about $162,900—a difference of roughly $12,900. The longer the term, the larger the gap.
Q: Why does monthly compounding earn more than annual compounding?
A: Interest is added to the principal sooner, so the next interest calculation is based on a larger balance. Mathematically, (1+r/n)n increases as n increases, with a limit of er. Switch the compounding frequency in the calculator to see the difference.
Q: Can this calculator calculate continuous compounding?
A: This version offers annual, semiannual, quarterly, monthly, and daily compounding, but not a dedicated continuous-compounding option. For a close estimate, choose “Daily,” or calculate manually with PV×er×t.
Q: My rate is annual, but interest is paid monthly. Should I divide the annual rate by 12 first?
A: No. Enter the stated nominal annual rate, such as 6%, then select “Monthly” under “Compounding Frequency.” The calculator automatically divides the annual rate by 12 and calculates (1+0.06/12) raised to the power of 12×t. No manual conversion is needed.
Q: Does the calculated future value include tax on interest?
A: No. Results show the total before tax. Your actual amount will depend on applicable local tax rules. As a rough estimate, you can multiply the calculated result by (1-tax rate).
Q: What if I add more money during the investment period?
A: This tool uses a lump-sum compound interest model and does not currently support recurring contributions. To estimate recurring investments, calculate each contribution separately based on its time invested, then add the future values together. A recurring-contributions feature may be added in the future.
This compound interest calculator uses the standard discrete compounding formula and assumes a fixed interest rate throughout the investment term, with all interest immediately reinvested at the same rate. In real life, market-rate changes, lockup periods, early-redemption penalties, fees, taxes, and inflation can all affect actual returns. Results are for educational purposes only, do not represent the actual return of any financial product, and are not investment advice. For large investments or long-term planning, consider consulting a qualified financial professional and using audited financial planning tools.
Enter your own numbers in the calculator above and see how compound interest can help your savings grow over time.
