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Compound Interest Calculator

Visualize how your money grows exponentially when interest compounds over days, months, quarters, or years.

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Compound Growth Metrics

Review the compounding analysis on your principal capital:

Initial Capital

The base amount invested before compound interest begins.

Compound Interest

The exponential returns earned over the duration.

Accumulated Wealth

The final maturity corpus representing principal plus all compounded interest.

How is it calculated?

A = P \left(1 + \frac{r}{n}\right)^{nt}

Where A is the final amount, P is the principal, r is the annual rate, n is compounding frequency, and t is the time in years.

Worked Examples

₹50,000 Compounded Monthly for 3 Years

At a 10% annual rate compounded monthly for 3 years, ₹50,000 grows to a final balance of ₹67,409. Total compound interest earned is ₹17,409.

Daily Compounding Impact

Investing ₹1 Lakh for 5 years at 8% compounded daily yields ₹149,176, which is higher than annual compounding which yields ₹146,932.

The Power of Compound Interest & Frequency Guide

What is Compound Interest?

Compound interest is the interest calculated on the initial principal, which also includes all the accumulated interest from previous periods. Einstein famously called compound interest the "eighth wonder of the world," noting that "he who understands it, earns it... he who doesn't, pays it."

Compounding creates a snowball effect where your savings grow exponentially over time as your interest begins earning its own interest.

The Compound Interest Formula and Frequencies

The mathematical formula to calculate compound interest is:

A = P * (1 + r / n)^(n * t)

Where A is the final maturity amount, P is the principal, r is the annual rate (as a decimal), n is the compounding frequency per year, and t is the time in years.

As compounding frequency increases (e.g., daily compounding instead of annual), your wealth grows faster because interest is added back to the principal sooner. This tool lets you compare daily, monthly, quarterly, and annual compounding frequencies.

Frequently Asked Questions

What is the Rule of 72?
The Rule of 72 is a quick mental formula to estimate when your investment will double. Divide 72 by your annual interest rate (e.g., at an 8% return rate, your money will double in 72/8 = 9 years).
How does compounding frequency impact returns?
A higher compounding frequency yields higher effective returns. For instance, ₹1,00,000 at 10% interest for 1 year yields ₹1,10,000 with annual compounding, but ₹1,10,471 with monthly compounding.

Results are estimates and should not be considered financial advice.