Compound Interest Calculator
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Your details
Future balance
C$144,573
After 20 years
Total contributions
C$58,000
Total interest earned
C$86,573
Starting principal
C$10,000
Growth: compound vs simple interest
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Compare accounts →Compound interest is the engine behind long-term wealth — interest that earns interest, accelerating your balance the longer you stay invested. This calculator shows exactly how much a starting amount plus regular contributions can grow at a given rate and compounding frequency. Adjust the principal, monthly deposit, rate, frequency and time horizon and watch the final balance, total contributions and total interest update instantly. The growth chart makes the power of compounding visual: the curve starts gently, then steepens as your returns begin generating returns of their own. It's the single most important concept in personal finance.
How to use the Compound Interest Calculator
- 1Enter your starting principal (initial deposit).
- 2Add an optional regular monthly contribution.
- 3Set the expected annual interest or return rate.
- 4Choose how often interest compounds (daily, monthly, quarterly or annually).
- 5Set the number of years and review the growth chart and totals.
What is Compound Interest?
Compound interest is interest calculated on both your original principal and on the interest that has already accumulated. This is fundamentally different from simple interest, which is paid only on the principal. Because each period's interest is added to the balance and then earns interest itself, your money grows at an accelerating rate — the longer the time horizon, the more dramatic the effect.
Three factors drive compound growth: the interest rate, the compounding frequency, and time. A higher rate obviously helps, but time is the most powerful variable of all. Money invested in your twenties has decades to compound, which is why financial advisors stress starting early even with small amounts. Compounding frequency matters too: interest that compounds daily grows slightly faster than the same rate compounded annually, because gains are reinvested sooner.
Regular contributions supercharge the effect. Adding a fixed amount each month — known as dollar-cost averaging when investing — means you are constantly increasing the principal base that compounds. Over 30 or 40 years, modest monthly deposits can grow into a balance many times larger than the total you actually contributed, with the difference made up entirely of compounded returns.
The famous "Rule of 72" offers a quick mental shortcut: divide 72 by your annual rate to estimate how many years it takes your money to double. At 8%, that's roughly nine years. Compound interest works for you in savings accounts, retirement funds and investments — but it works against you on credit card debt, where the same mechanics cause balances to balloon. Understanding compounding is the foundation of nearly every other financial decision, from choosing a savings account to planning retirement. The earlier you let it work, the less you have to save to reach the same goal.
The formula
A = P(1 + r/n)^(nt) + PMT · [ ((1 + r/n)^(nt) − 1) / (r/n) ] where: A = final amount P = principal r = annual interest rate (decimal) n = compounding periods per year t = number of years PMT = contribution per period
Frequently Asked Questions
How does compound interest work?+
Compound interest pays interest on your principal and on previously earned interest. Each period, the interest is added to your balance, and the next period's interest is calculated on that larger amount. Over time this creates exponential rather than linear growth.
What is the difference between simple and compound interest?+
Simple interest is calculated only on the original principal, so it grows in a straight line. Compound interest is calculated on the principal plus accumulated interest, so it grows faster and faster. Over long periods the difference can be enormous.
Does compounding frequency really matter?+
Yes, but less than people expect. Daily compounding beats annual compounding at the same nominal rate, but the gap is small compared to the impact of the rate itself and the length of time you stay invested.
How can I use the Rule of 72?+
Divide 72 by your annual return rate to estimate the years needed to double your money. At a 6% return, money doubles in about 12 years; at 9%, in about 8 years. It's a handy approximation, not an exact figure.
This calculator is for informational and educational purposes only. Results are estimates and should not be considered financial advice. Always consult a qualified financial professional before making financial decisions.
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