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Compounding Power

Compound Interest Calculator

Calculate maturity amounts, total compound interest, and effective annual yields (APY) across annual, semi-annual, quarterly, monthly, and daily compounding frequencies.

Adjust Parameters

₹1 Lakh
₹
₹1,000₹10,00,00,000

Starting capital that earns interest.

%
1%30%

Nominal annual interest rate before compounding adjustments.

Years
1 Y30 Y

Total period your funds remain invested.

Total Maturity Amount
₹1,48,595

After 5 Years (60 Months) of compounding

Total Compound Interest
₹48,595

Effective APY: 8.24% p.a.

Simple Interest Equivalent
₹40,000

Interest without reinvestment

Extra Gain from Compounding
₹8,595

CI minus Simple Interest

Breakdown

Total: ₹1,48,595
Breakdown data table
CategoryAmountPercentage
Principal Invested₹1,00,00067.3%
Compound Interest₹48,59532.7%

Compounding Frequency Impact

Comparing ₹1,00,000 at 8%% over 5 Years (60 Months) across intervals

Compounding IntervalPeriods/YearEffective Yield (APY)Total InterestMaturity Value
Annually (1x/yr)18%+₹46,933₹1,46,933
Semi-Annually (2x/yr)28.16%+₹48,024₹1,48,024
Quarterly (4x/yr)48.24%+₹48,595₹1,48,595
Monthly (12x/yr)128.3%+₹48,985₹1,48,985
Daily (365x/yr)3658.33%+₹49,176₹1,49,176

Year-by-Year Growth Schedule

Annual compounding trajectory

YearOpening BalanceInterest in YearCumulative InterestClosing Balance
Year 1₹1,00,000+₹8,243₹8,243₹1,08,243
Year 2₹1,08,243+₹8,923₹17,166₹1,17,166
Year 3₹1,17,166+₹9,658₹26,824₹1,26,824
Year 4₹1,26,824+₹10,455₹37,279₹1,37,279
Year 5₹1,37,279+₹11,316₹48,595₹1,48,595

How Compound Interest is Calculated

Transparent, human-readable mathematical formulas and verifiable assumptions.

Mathematical Formula
Standard Notation
A = P × (1 + r / n)ⁿᵗ

Variables & Legend

A
Maturity amount after compound interest
P
Initial principal sum invested
r
Nominal annual interest rate (Rate / 100)
n
Compounding frequency per year (1 for annual, 4 for quarterly, 12 for monthly)
t
Tenure in years

Conventions & Assumptions

  • In compound interest, interest earned in each cycle is reinvested and added to the principal, earning interest on interest in subsequent cycles.
  • More frequent compounding (e.g. quarterly vs annual) leads to a higher effective annual yield (APY).
  • In Indian banking, cumulative Fixed Deposits (FD) and Recurring Deposits (RD) are compounded quarterly by standard convention.
  • Long-term mutual fund equity investments compound continuously through internal capital appreciation and portfolio earnings growth.

Frequently Asked Questions

Compound interest is interest calculated on both the initial principal and the accumulated interest from preceding periods. Because interest earned is reinvested, your money grows exponentially rather than linearly.

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