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Compound Interest Calculator

Calculate compound interest for daily, monthly, quarterly, and annual compounding frequencies, recurring deposits, EAR / APY, and real value.

Reviewed by Fintools Find Quantitative Finance & Engineering Team Updated August 2026 Zero Server Data Storage
⚡ Multi-Frequency Compound Interest Engine

Investing ₹100,000 initial principal plus ₹5,000/month at 10% p.a. (Annually (1/yr) compounding) accumulates a final corpus of ₹1,258,694 over 10 years (₹558,694 total interest).

Model compound wealth accumulation across daily, monthly, quarterly, semi-annual, and annual frequencies, Effective Annual Rate (EAR / APY), and inflation-adjusted purchasing power.

Final Accumulated Corpus₹12,58,694EAR / APY: 10% p.a.

⚡ Smart Compounding Presets

Quick Scenario Presets1-Tap Auto Fill

1. Principal, Recurring Deposits & Compounding Parameters

₹
₹0₹1 Cr
₹
₹0₹5 Lakhs/mo
%
0.1%30.0%
Yrs
1 Yr40 Yrs
Final Accumulated Corpus₹12,58,694Over 10 Years @ 10% p.a.
Total Interest Earned₹5,58,694Compound Profit Component
Effective Annual Rate (EAR / APY)10% p.a.True Yield (Annually (1/yr))
Total Invested Capital₹7,00,000Principal + Monthly Deposits

⚖️ Cross-Frequency Compounding Yield MatrixImpact of Compounding Frequency

Daily (365/yr)
₹12,98,389EAR: 10.516%+₹39,695 vs Annual
Monthly (12/yr)
₹12,94,929EAR: 10.471%+₹36,235 vs Annual
Quarterly (4/yr)
₹12,87,924EAR: 10.381%+₹29,230 vs Annual
Semi-Annually (2/yr)
₹12,77,779EAR: 10.25%+₹19,085 vs Annual
Annually (1/yr)Active
₹12,58,694EAR: 10%Baseline

📅 Year-by-Year Compound Growth Schedule10-Year Growth Rollup

YearOpening BalanceAnnual DepositsInterest EarnedClosing BalanceCumulative Interest
Year 1₹1,00,000₹60,000₹12,703₹1,72,703₹12,703
Year 2₹1,72,703₹60,000₹19,973₹2,52,676₹32,676
Year 3₹2,52,676₹60,000₹27,970₹3,40,646₹60,646
Year 4₹3,40,646₹60,000₹36,767₹4,37,413₹97,413
Year 5₹4,37,413₹60,000₹46,444₹5,43,857₹1,43,857
Year 6₹5,43,857₹60,000₹57,088₹6,60,946₹2,00,946
Year 7₹6,60,946₹60,000₹68,797₹7,89,743₹2,69,743
Year 8₹7,89,743₹60,000₹81,677₹9,31,420₹3,51,420
Year 9₹9,31,420₹60,000₹95,845₹10,87,264₹4,47,264
Year 10₹10,87,264₹60,000₹1,11,429₹12,58,694₹5,58,694
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Process Architecture

How Repayment & Lifecycle Works

Understanding the key phases of your loan or investment timeline

01

Input Initial Principal Investment

Enter your starting lump sum deposit amount (e.g., ₹1,00,000 or $10,000).

02

Specify Additional Monthly Contribution

Add regular monthly deposits to accelerate compound growth over time.

03

Choose Interest Rate & Compounding Frequency

Select annual nominal interest rate and compounding frequency (Daily, Monthly, Quarterly, Semi-Annually, or Annually).

04

Analyze Final Corpus, EAR & Real Value

Instantly view your accumulated maturity corpus, Effective Annual Rate (EAR / APY), and inflation-adjusted real purchasing power.

Target Borrowers

Who Should Use the Compound Interest Calculator?

Long-Term Investors & Wealth Accumulators

Investors modeling exponential compound growth across multi-year wealth building horizons.

Bank Fixed Deposit & Savings Account Depositors

Savers comparing nominal bank rates against true Effective Annual Rates (EAR) across daily/quarterly compounding.

SIP & Mutual Fund Investors

Systematic investors evaluating the compounding snowball effect of combining lump sums with recurring monthly deposits.

Financial Planning & Education Seekers

Students, analysts, and planners studying the mathematical mechanics of compound interest formulas.

Key Benefits

  • Understand the exponential snowball power of compound interest over time
  • Compare bank FDs (quarterly compounding) against mutual funds or stocks (annual compounding)
  • Optimize wealth creation by adding disciplined monthly contributions to your principal
  • Discover the true effective annual yield (EAR / APY) beyond basic nominal rate quotes

Platform Features

  • Flagship Multi-Frequency Compound Interest calculation engine
  • Supports 5 Compounding Frequencies: Daily (365/yr), Monthly (12/yr), Quarterly (4/yr), Semi-Annually (2/yr), and Annually (1/yr)
  • Effective Annual Rate (EAR / APY) yield precision calculator
  • Recurring monthly deposit integration with beginning-of-month and end-of-month timing controls
  • Cross-frequency yield comparison matrix showcasing additional returns from higher compounding frequencies
  • Inflation-adjusted real purchasing power final corpus indicator
  • Interactive year-by-year compounding growth schedule table
Mathematical Engine

Multi-Frequency Compound Interest & EAR Formulas

Standard TVM Formula
Formula Expression
A = P \left(1 + \frac{r}{n}\right)^{n t} + PMT \left[ \frac{\left(1 + \frac{r}{n}\right)^{n t} - 1}{\left(1 + \frac{r}{n}\right)^{n/12} - 1} \right], \quad \text{EAR} = \left(1 + \frac{r}{n}\right)^n - 1
P — Initial Principal Investment

Starting lump sum deposit amount at Year 0.

PMT — Additional Monthly Deposit

Recurring monthly contribution added every month.

n — Compounding Frequency per Year

Number of times interest compounds per year (Daily: 365, Monthly: 12, Quarterly: 4, Semi-Annual: 2, Annual: 1).

\text{EAR} — Effective Annual Rate (APY)

The true effective annual yield realized after accounting for intra-year compounding frequencies.

Case Studies

Practical Worked Scenarios

Example 1

Benchmark Case Study: Lumpsum + Monthly SIP (₹1 Lakh + ₹5,000/mo @ 12% p.a., 10 Yrs)

Wealth Accelerator Scenario
Initial Principal ₹100,000
Total Deposits Paid ₹600,000
Total Invested Capital ₹700,000
Final Accumulated Corpus ₹1,440,940
Key Takeaway: Combining an initial principal of ₹1,00,000 with a monthly contribution of ₹5,000 at 12% p.a. over 10 years turns a total invested capital of ₹7,00,000 into a final corpus of ₹14,40,940 (generating ₹7,40,940 in pure compound interest).
Example 2

Benchmark Case Study: Compounding Frequency Impact (₹5 Lakhs @ 10% p.a., 10 Yrs)

Compounding Frequency Benchmark
Annual Compounding (1/yr) ₹1,296,871
Quarterly Compounding (4/yr) ₹1,342,532
Monthly Compounding (12/yr) ₹1,353,521
Daily Compounding (365/yr) ₹1,358,955
Key Takeaway: Higher compounding frequencies generate higher returns due to continuous interest-on-interest. Daily compounding yields ₹62,084 extra over annual compounding on a ₹5 Lakh principal over 10 years.
⚠️

Common Mistakes to Avoid

Critical financial oversights that reduce long-term returns

✕

Confusing nominal rate with effective rate: Always compare EAR / APY when evaluating products with different compounding frequencies.

✕

Ignoring inflation: A nominal 10% return with 5% inflation yields a real purchasing power return of approximately 4.76% p.a.

✕

Assuming simple interest rules: Simple interest only earns returns on the principal, missing out on the exponential growth of compound interest.

Frequently Asked Questions

Compound Interest Calculator FAQs

Clear answers to common questions about calculations and methodology

Compound interest is interest calculated on both the initial principal deposit and the accumulated interest from previous periods. Over time, this creates an exponential 'snowball effect' where your wealth grows at an accelerating rate.
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