See how your money grows over time with the power of compound interest
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The Rule of 72 estimates how many years it takes to double your money at a given interest rate.
See how different rates affect your investment over the same period.
Compound interest is one of the most powerful forces in finance. Unlike simple interest, which is calculated only on the initial principal, compound interest is calculated on both the principal and the accumulated interest from previous periods. This creates a snowball effect where your money grows exponentially over time.
When you invest money, you earn interest on your initial investment. With compound interest, that earned interest is added to your principal, and in the next period, you earn interest on the larger amount. This cycle repeats, causing your investment to grow faster and faster over time. Albert Einstein reportedly called compound interest "the eighth wonder of the world."
The formula is: A = P(1 + r/n)nt, where:
A = Final amount
P = Principal (initial investment)
r = Annual interest rate (decimal)
n = Number of times interest compounds per year
t = Number of years
For regular contributions, the formula extends to include the future value of an annuity: FV = PMT x [((1 + r/n)nt - 1) / (r/n)]
Time is the most important factor in compound interest. Starting to invest just 10 years earlier can result in dramatically larger returns. For example, investing $500/month at 7% for 30 years yields significantly more than investing $1,000/month for 20 years, even though you contribute less total money.
The Rule of 72 is a simple way to estimate how long it takes to double your money. Divide 72 by your annual interest rate. At 8% interest, your money doubles in approximately 9 years (72 / 8 = 9). At 12% interest, it doubles in about 6 years.
1. Start early: The earlier you begin, the more time compound interest has to work.
2. Be consistent: Regular contributions, even small ones, add up significantly.
3. Reinvest dividends: Let your returns compound by reinvesting.
4. Minimize fees: High fees eat into your compound returns over time.
5. Be patient: Compound interest rewards long-term investors.
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Compound interest is widely regarded as one of the most powerful concepts in personal finance. It is the mechanism by which your invested money earns returns not only on your original principal but also on all the interest that has already accumulated. This creates a snowball effect where your wealth accelerates over time, growing faster and faster with each passing year. Our free compound interest calculator above lets you visualize this growth with detailed year-by-year projections and interactive charts.
Understanding compound interest is essential whether you are saving for retirement, building an emergency fund, paying off debt, or investing in the stock market. The earlier you start and the longer you stay invested, the more dramatically compound interest works in your favor. This is why financial advisors consistently emphasize the importance of starting to invest as early as possible, even with small amounts.
With simple interest, you earn interest only on your original deposit. If you invest $10,000 at 8% simple interest, you earn $800 every year, regardless of how long the money stays invested. After 30 years, you would have $34,000.
With compound interest, you earn interest on your principal plus all previously accumulated interest. That same $10,000 at 8% compounded annually grows to $100,627 after 30 years, nearly three times more than with simple interest. The difference becomes even more dramatic over longer time periods and with regular monthly contributions.
Example: $500/month invested at 7% annual return
Notice how the interest earned in the last 10 years ($711,847) exceeds the total earned in the first 30 years ($606,438). This is the exponential nature of compounding.
The Rule of 72 provides a simple way to estimate how long it takes for your money to double at a given interest rate. Simply divide 72 by the annual rate of return. This approximation is remarkably accurate for rates between 4% and 12%.
You can also use the Rule of 72 in reverse. If you want to double your money in 5 years, you need a return of approximately 14.4% (72 / 5 = 14.4). Use the Rule of 72 calculator above to see doubling timelines for any rate.
Interest can compound at different intervals: annually, semi-annually, quarterly, monthly, or even daily. More frequent compounding produces slightly higher returns because interest begins earning its own interest sooner. However, the practical difference between monthly and daily compounding is minimal.
For a $10,000 investment at 8% over 10 years, compounding annually yields $21,589, while compounding monthly yields $22,196, a difference of $607. Compounding daily yields $22,253, only $57 more than monthly. The far more impactful factors are your interest rate, time horizon, and whether you make regular contributions.
Compound interest is the engine behind retirement savings. The stock market has historically returned approximately 7-10% annually over long periods (before inflation). By investing consistently in low-cost index funds and reinvesting all dividends, you harness the full power of compounding.
Starting early makes an enormous difference. A 25-year-old who invests $300 per month at 7% until age 65 will accumulate approximately $720,000. A 35-year-old investing the same amount at the same rate until 65 will accumulate only about $340,000. Those extra 10 years of compounding nearly double the final amount, despite contributing only $36,000 more in total. Explore our home affordability calculator to see how much of your income should go toward housing versus investments.
Compound interest works against you when you are borrowing money. Credit card debt is particularly dangerous because it compounds at rates of 18-25% annually. A $5,000 credit card balance at 20% APR, making only minimum payments, can take over 20 years to pay off and cost more than $8,000 in interest alone.
This is why paying off high-interest debt is often the best financial "investment" you can make. Eliminating a credit card charging 20% interest is equivalent to earning a guaranteed 20% return on your money. Use our debt payoff calculator to create a repayment strategy, then redirect those payments toward investments where compound interest works for you instead of against you.
Ready to put compound interest to work? Use the calculator above to model different scenarios, or explore our stock market guide for ideas on where to invest.