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Compound Interest Calculator

Calculate compound interest on your investment with initial capital, recurring contributions, and your chosen compounding frequency.

✓ Embeddable
Multi-Frequency Compounding Engine
Investment Parameters Configure principal, regular additions, and compounding frequency
Currency
Starting investment lump sum
₹
₹0 ₹10 Lakh+
Regular addition deposited each period
₹
₹0 ₹50K+
How often you make deposits
Standard: End (Ordinary Annuity)
%
0% 30%
Frequency interest is credited
Total compounding duration
Years
1 Year 50 Years
Adjust for Expected Inflation (Optional)
%

This is an illustrative purchasing-power estimate and does not account for taxes, fees, or changes in actual market returns.

Projected Future Value 8.84% APY
₹2,15,982
+116.0% Growth • End of period
Initial Principal ₹10,000
Total Contributions ₹90,000
Total Invested ₹1,00,000
Compound Interest ₹1,15,982
Principal: 5% Deposits: 42% Interest: 54%
Growth Trajectory Total Invested vs Compound Interest
Additional Calculations
Time to 2× Starting Principal: Year 3
Year Interest Exceeds Annual Deposits: Year 9
Time to 10× Starting Principal: Year 10

Browser-local calculation: Your financial inputs are processed locally in your browser. Zero financial values are logged or transmitted.

Investment disclaimer: This projection uses the return rate you enter and does not automatically account for taxes, fees, market volatility, or product-specific rules.

Year-by-Year Compounding Schedule

Complete breakdown of deposits, interest accrual, and ending balance by year
Mathematical Foundation

The Mathematics of Compound Interest & Wealth Acceleration

Understand how compound growth accelerates capital over time. The engine calculates precise future wealth by modeling base principal accumulation alongside periodic recurring additions.

Base Model Single Lump-Sum

Lump-Sum Compound Interest Formula

Calculates how an initial capital deposit grows when interest earned in each period is reinvested into the active balance.

A = P × (1 + r / n)n × t
A = Final Balance
P = Principal Amount
r = Annual Rate (decimal)
n & t = Compounding Freq & Years
Total Interest Earned: CI = A − P
Annuity Series Regular Additions

Compound Growth with Periodic Additions

When making regular deposits, each contribution forms an individual compound growth cycle with effective rate per deposit interval.

FVtotal = FVprincipal + FVdeposits
FVdeposits = PMT × [ ((1 + ic)N − 1) / ic ]
Effective Period Rate (ic): ic = (1 + r/n)(n/m) − 1
PMT = Periodic Contribution
m = Deposits per Year
N = Total Deposits (m × t)
Timing = End vs Beginning
*Annuity Due (beginning of period) multiplies deposit FV by (1 + ic)

The Rule of 72 (Doubling Time)

tdouble ≈ 72 ÷ r(%)

A quick mental shortcut to estimate how many years it takes for your investment to double at a fixed annual return rate. At 9% return, money doubles in roughly 8 years (72 / 9 = 8).

Annual Percentage Yield (APY)

APY = (1 + r/n)n − 1

Compounding frequency increases your true annualized return (APY) above the stated nominal rate (APR) because earlier interest payments immediately start generating returns.

Financial Variable Reference

P (Principal) Initial starting lump-sum deposit invested at Year 0
PMT (Contribution) Recurring deposit added every contribution cycle
r & n (Rates) Nominal annual interest rate & compounding intervals per year
t & N (Horizon) Total investment tenure (years) and deposit periods
Financial Strategy Insights

AI Compound Interest Advisor

Ask AI
Education

The Ultimate Guide to Compound Interest & Wealth Growth

01

How Compound Interest Works (Interest on Interest)

Unlike Simple Interest—where returns are calculated strictly on your base principal—Compound Interest calculates returns on both your initial capital and accrued interest from previous periods. This reinvestment creates a snowball effect that accelerates asset growth over time.

02

The Compound Interest Formula Explained

The classic compound interest formula is A = P(1 + r/n)^(nt), where A is the future balance, P is initial principal, r is nominal annual rate, n is compounding frequency per year, and t is tenure in years. When making regular monthly contributions (PMT), future value incorporates an annuity compounding series.

03

The Impact of Compounding Frequencies

Compounding can occur daily, monthly, quarterly, semi-annually, or annually. Higher compounding frequencies yield higher Annual Percentage Yield (APY) because interest earned is added back into your active principal earlier to start compounding sooner.

04

The Rule of 72: Estimating Doubling Time

The Rule of 72 is a quick mathematical heuristic to estimate how long it takes for an investment to double at a given annual return rate. Simply divide 72 by your annual interest rate (e.g., 72 / 8% = 9 years to double your capital).

05

The Exponential Edge of Early Investing

Time is the most dominant variable in compounding exponential curves. Starting to invest 10 years earlier—even with smaller monthly deposits—often yields a larger final net worth than investing double the amount later in life.

06

Inflation and Real Purchasing Power

To evaluate true financial progress, nominal investment returns must be adjusted for price inflation. Real Rate of Return (Fisher Equation) measures your actual growth in purchasing power after accounting for inflation rates.

Good to know

Questions, answered

Quick answers about how this tool works.

Compound interest is interest earned on both your initial principal and the accumulated interest from prior periods. By continuously reinvesting earned interest, your account balance grows exponentially over time rather than linearly.

Simple interest is computed strictly on the original principal balance throughout the entire duration. In contrast, compound interest recalculates interest on the expanding balance (principal + prior interest), yielding significantly higher returns over longer investment horizons.

Compounding frequency defines how often interest is calculated and credited to your principal balance—such as daily (365 times/year), monthly (12 times/year), quarterly (4 times/year), semi-annually (2 times/year), or annually (1 time/year). Higher compounding frequencies yield a higher effective annual return (APY).

When your contribution frequency (e.g. monthly deposits) differs from the compounding frequency (e.g. quarterly compounding), interest is computed using the equivalent effective rate per contribution period: i_c = (1 + r/n)^(n/m) - 1. This mathematical method precisely simulates growth without inaccurate period-matching assumptions.

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