Kalkulator Faedah Kompaun Percuma
Lihat bagaimana wang anda berkembang dengan kuasa faedah kompaun.
Compound interest is interest calculated on both the initial principal and all previously accumulated interest, described by the formula A = P(1 + r/n)^(nt). The S&P 500 has delivered an average annual return of approximately 10.3% before inflation and roughly 7% after inflation over the past 50 years (Damodaran, NYU Stern, 'Historical Returns on Stocks, Bonds and Bills,' 2025, https://pages.stern.nyu.edu/~adamodar/New_Home_Page/datafile/histretSP.html). CalcMyCompound models this growth instantly with adjustable inputs for principal, contributions, rate, compounding frequency, and time.
How to Use This Calculator
- 1
Enter your starting amount — the lump sum you have available to invest today.
- 2
Set your monthly contribution — the amount you plan to add each month. Even small amounts make a massive difference over decades.
- 3
Choose your expected annual return — 7% is a common conservative estimate for diversified stock market investments after inflation. Savings accounts typically offer 4–5%.
- 4
Select your compounding frequency — monthly is the most common for investments and savings accounts.
- 5
Adjust the time horizon — slide to your target number of years and watch the chart update in real time.
What Is Compound Interest?
Compound interest is interest calculated on both the initial principal and the accumulated interest from previous periods. Unlike simple interest — which is calculated only on your original deposit — compound interest lets your money earn interest on its interest, creating an exponential growth curve over time.
The Formula
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
Quick Example
Invest $10,000 at 7% annual interest compounded monthly for 10 years. Without adding a single dollar more, your investment grows to $20,097 — more than doubling your money through the power of compound interest alone.
Written by Kymata Labs Editorial Team·Finance Tools Division
Reviewed by Kymata Labs QA·Technical Review
Simple Interest vs Compound Interest
The chart below shows how $10,000 grows over 20 years at 7% annual return. With simple interest, you earn a flat $700 each year. With compound interest, your earnings accelerate as interest earns interest — resulting in $24,719 more by year 20.
After 20 years at 7%, compound interest earns $24,719 more than simple interest on the same $10,000 investment.
Read our full guide: Compound vs Simple Interest — What's the Difference?
The Rule of 72
A quick mental math shortcut to estimate how long it takes for an investment to double:
Years to double = 72 ÷ interest rateAt 8% annual returns: 72 ÷ 8 = 9 years to double your money.
Read our full guide: The Rule of 72 Explained
Understanding the Compound Interest Formula Step by Step
The compound interest formula A = P(1 + r/n)^(nt) calculates the future value of an investment by applying the interest rate repeatedly over compounding periods. Here is a worked example: $5,000 principal, 6% annual rate, monthly compounding, 15 years.
Given: $5,000 principal | 6% annual rate | Monthly compounding | 15 years
- 1Convert annual rate to periodic rate:
r/n = 0.06 ÷ 12 = 0.005 (0.5% per month) - 2Calculate total compounding periods:
n × t = 12 × 15 = 180 periods - 3Calculate the growth factor:
(1 + 0.005)^180 = 2.4541 - 4Multiply by principal:
$5,000 × 2.4541 = $12,270.47
Your $5,000 grows to $12,270.47 — a gain of $7,270.47 purely from compound interest, without adding a single dollar in contributions. CalcMyCompound performs this calculation instantly with any values you enter.
Common Investing Questions
How much money do I need to invest monthly to become a millionaire?
To reach $1,000,000 with compound interest at a 7% annual return compounded monthly, a 25-year-old needs to invest approximately $381 per month for 40 years, while a 35-year-old needs approximately $820 per month for 30 years (Vanguard, 'Principles for Investing Success,' 2024, https://investor.vanguard.com/investor-resources-education/investment-principles). CalcMyCompound models these exact scenarios — adjust the monthly contribution slider and time horizon to see your personalized projection.
Does compounding daily instead of monthly make a big difference?
Daily compounding produces marginally higher returns than monthly compounding, but the difference is small in practice. On a $10,000 investment at 7% over 30 years, daily compounding yields $81,165 versus $81,007 for monthly compounding — a difference of only $158 or 0.19%. The real drivers of growth are contribution amount, rate of return, and time horizon, not compounding frequency.
What is the average annual return of the stock market after inflation?
The S&P 500 has delivered an average inflation-adjusted annual return of approximately 7% over the past 50 years, compared to approximately 10.3% in nominal terms before inflation (Damodaran, NYU Stern, 'Historical Returns on Stocks, Bonds and Bills,' 2025, https://pages.stern.nyu.edu/~adamodar/New_Home_Page/datafile/histretSP.html). This 7% real return is the most commonly used conservative estimate for long-term investment projections and is the default rate many financial planners recommend.