آلة حاسبة الفائدة المركبة

شاهد كيف ينمو مالك مع الفائدة المركبة بمرور الوقت.

المبلغ النهائي

إجمالي الفائدة

المعدل الفعلي

%

وقت المضاعفة

سنوات

رأس المال: الفائدة:
رأس المال (%) الفائدة (%)

الصيغة

A = P(1 + r/n)nt

A = final amount (what you get)

P = principal (initial investment)

r = annual interest rate (decimal)

n = compounding frequency per year

t = time in years

How to Use

  1. 1
    Enter principal and rate

    Type the starting amount, annual interest rate, and the number of years.

  2. 2
    Choose the compounding frequency

    Select daily, monthly, quarterly, or annual compounding to match your account.

  3. 3
    Read the future value

    The final balance and total interest earned update instantly, with the growth shown year by year.

About

Compound interest is interest calculated on both the original principal and the interest already accumulated, so a balance grows faster the longer it is left untouched. Albert Einstein is popularly — if apocryphally — credited with calling it the eighth wonder of the world, and the underlying formula, A = P(1 + r/n)^(nt), governs everything from savings accounts to retirement funds.

The compounding frequency matters: the more often interest is added, the more you earn. Daily compounding produces a slightly higher effective yield than annual compounding at the same nominal rate, because each new interest deposit immediately begins earning interest itself. This is why the effective annual rate (EAR) can exceed the stated nominal rate.

Time is the most powerful variable. Because growth is exponential rather than linear, small contributions started early can outperform much larger contributions started late — the essence of why long-term investing rewards patience. This calculator shows the year-by-year balance so you can see that curve for yourself.

Frequently Asked Questions

What is compound interest and how does it differ from simple interest?
Compound interest calculates interest on both the principal and previously earned interest, while simple interest only calculates on the principal. Over time, compound interest grows exponentially, making it significantly more powerful for long-term savings.
How often should interest be compounded?
The more frequently interest compounds, the more you earn. Daily compounding yields slightly more than monthly, which yields more than quarterly or annually. However, the difference between daily and monthly compounding is typically small in practice.
What is the Rule of 72?
The Rule of 72 estimates how long it takes to double your money: divide 72 by the annual interest rate. At 6% interest, your money doubles in approximately 72/6 = 12 years. This is a quick mental shortcut for compound growth estimation.
What is continuous compounding?
Continuous compounding calculates interest at every possible instant using the formula A = Pe^(rt), where e is Euler's number (approximately 2.71828). It represents the theoretical maximum of compounding frequency, though the practical difference from daily compounding is minimal.

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