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Compound Interest
Calculator

Use our free compound interest calculator to forecast exponential savings growth, fixed deposits, mutual funds, and long-term investment portfolios. Calculate compound growth across annual, quarterly, monthly, or daily compounding schedules with instant visual breakdowns.

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PROJECTED MATURITY VALUE₹1,48,595
5 YEARS
Initial Principal₹1,00,000
Interest Rate8.0% p.a.
CompoundingQuarterly
COMPOUND INTEREST EARNED+ ₹48,595
TodayCompounding GrowthYear 5
COMPOUND FORMULA A

P(1 + r/n)nt

Interest on interest
More time.
More compounding!
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Investment Details

Compound Mode
Starting Deposit
Nominal Rate (%)
%
Years
Yrs
Compounding Frequency Times per year

Growth Summary

Maturity Projection
Total Maturity Value
₹1,48,595.00
Principal ₹1,00,000 + ₹48,595 Interest
Initial Principal
₹1,00,000.00
Compound Interest
₹48,595.00
Effective Annual Rate
8.24%
Total Gain %
+48.6%
Principal (67.3%) Interest (32.7%)
Rule of 72 Tip: Divide 72 by your annual interest rate to quickly estimate how many years it will take for your initial investment to double (e.g. 72 ÷ 8% = ~9 years).

What is Compound Interest?

Compound interest is the interest calculated on both the initial principal deposit and the accumulated interest earned from previous calculation periods. Unlike simple interest—which only earns returns strictly on the principal balance—compounding reinvests generated earnings, allowing the total asset base to expand exponentially over time.

Often described as "interest on interest", compounding creates an accelerating snowball effect. The higher the compounding frequency (daily, monthly, or quarterly vs annual) and the longer the capital remains invested, the more dramatic the divergence between simple and compound growth becomes.

How to Use the Compound Interest Calculator

Follow four straightforward steps to project your future investment worth:

1

Enter Initial Principal

Specify your upfront starting capital or opening fixed deposit balance.

2

Set Annual Interest Rate

Enter expected nominal return rate or bank deposit interest rate percentage.

3

Select Duration & Frequency

Choose investment horizon in years and select quarterly, monthly, or annual compounding.

4

Review Compounded Total

Instantly examine total maturity payout, accumulated wealth, and effective annual yield.

Compound Interest Formula

Standard mathematical formula used to compute compound growth across discrete compounding intervals:

A = P × (1 + r / n)^(n × t)
Total Interest (CI) = A - P
A: Final maturity amount including principal and accumulated compound interest.
P: Initial principal investment amount.
r: Annual nominal interest rate expressed as a decimal (e.g., 8% = 0.08).
n: Number of times interest compounds per year (1 for annual, 4 for quarterly, 12 for monthly).
t: Total investment tenure in years.

Example Calculation Walkthrough

Suppose you invest ₹1,00,000 in a fixed-income instrument yielding an annual interest rate of 8% compounded quarterly (n = 4) for a period of 5 years (t = 5):

Step-by-Step Mathematical Resolution
  • Initial Principal (P) ₹1,00,000.00
  • Periodic Rate (r / n) 0.08 / 4 = 0.02 (2% per quarter)
  • Total Compounding Periods (n × t) 4 × 5 = 20 quarters
  • Growth Factor (1 + 0.02)^20 1.485947
  • Final Maturity Balance (A) ₹1,48,595.00
  • Total Compound Interest Earned (A - P) ₹48,595.00

Frequently Asked Questions

Simple interest earns interest solely on the original principal throughout the entire duration. Compound interest reinvests earned interest back into the principal balance, meaning subsequent interest calculations yield progressively greater financial returns.

Yes. Because interest is calculated and added to the principal more frequently, monthly compounding generates a slightly higher effective annual yield than quarterly compounding, which in turn outperforms annual compounding at the same nominal rate.

The nominal rate is the stated annualized interest rate before taking compounding periods into account. The Effective Annual Rate (EAR) reflects the true annual return earned once intra-year compounding frequencies are accounted for.

Because compounding follows an exponential curve rather than a linear trajectory, the majority of interest accumulation occurs in the later years of an investment term, rewarding patient long-term investors.

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