Calculate how an investment grows over time with compound interest, choosing how often interest compounds.
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The compound interest formula for the final amount is: A = P × (1 + r/n)^(n×t), where P is the initial principal, r is the annual interest rate as a decimal, n is the number of times interest compounds per year, and t is the number of years.
For example, 10,000 invested at 7% annual interest, compounded monthly (n=12), for 10 years grows to 10,000 × (1 + 0.07/12)^(12×10), which works out to roughly 20,097, meaning about 10,097 in compound interest earned over the period.
More frequent compounding means interest gets added to the balance more often, so subsequent interest calculations are based on a slightly larger amount each time. This is why monthly compound interest yields marginally more than annual compounding at the same nominal interest rate, an important factor when comparing savings accounts or investments.
Entering the interest rate as a decimal (0.07) instead of a whole percentage (7), which produces a dramatically understated result.
Assuming annual and monthly compounding produce roughly the same result, over long time horizons the gap compounds too, on large balances the difference is far from trivial.
Forgetting this calculator assumes a single lump sum with no further contributions, use a growth calculator with regular contributions (like the SIP or 401k Calculator) if you're adding money over time.
Compound interest is interest calculated on both the original principal and the accumulated interest from previous periods, causing growth to accelerate over time compared to simple interest.
Yes, more frequent compounding (like monthly or daily) results in slightly higher returns than less frequent compounding (like annually), for the same nominal interest rate, though the difference is usually modest.
This calculator assumes a fixed interest rate and no additional contributions. Real investment returns often vary and may include regular deposits, which this tool does not account for.
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