Skip to content
epitometool

Compound interest calculator

Finance & money

Future value with annual, half-yearly, quarterly, monthly or daily compounding.

Updated

Inputs

Maturity breakdown

Maturity amount
₹2,15,892.50
Total contributions
₹1,00,000.00
Interest earned
₹1,15,892.50
Effective annual rate (EAR) at 8.00% compounded annually: 8.00%

Year-by-year growth

YearContributedInterest (year)Balance
1₹1,00,000₹8,000₹1,08,000
2₹1,00,000₹8,640₹1,16,640
3₹1,00,000₹9,331₹1,25,971
4₹1,00,000₹10,078₹1,36,049
5₹1,00,000₹10,884₹1,46,933
6₹1,00,000₹11,755₹1,58,687
7₹1,00,000₹12,695₹1,71,382
8₹1,00,000₹13,711₹1,85,093
9₹1,00,000₹14,807₹1,99,900
10₹1,00,000₹15,992₹2,15,892

Educational only — not financial or tax advice. Talk to a qualified advisor before making decisions with real money.

Quick start

How to calculate compound interest

Enter principal, annual rate and tenure. Pick how often the rate compounds (annually, half-yearly, quarterly, monthly, daily) to see the maturity value and year-by-year growth.

  1. Step 1
    Enter the basics

    Principal, annual rate (%), tenure (years) and currency. Default Indian Rupees, switch to USD / EUR / GBP if needed.

  2. Step 2
    Pick compounding frequency

    More frequent compounding gives slightly higher returns. Use 'Effective Annual Rate (EAR)' on the result card to fairly compare products at different frequencies.

  3. Step 3
    Read the growth curve

    Maturity amount, total contributions and interest earned. The year-by-year table makes the compounding curve concrete — watch the interest column accelerate.

In-depth guide

Compound interest — how money grows on itself

Compound interest is interest calculated on the principal and on the interest already earned. It's the single most important concept in personal finance — at 8% per year, a one-time investment doubles every nine years; at 12%, every six. This page is a fast guide to the math, with examples in Indian Rupees.

The formula

Future value with compound interest:

A = P × (1 + r/n)^(n × t)

  • A — final maturity amount
  • P — principal
  • r — annual interest rate (as a decimal, e.g. 0.08 for 8%)
  • n — compounding periods per year (1=annually, 2=half-yearly, 4=quarterly, 12=monthly, 365=daily)
  • t — number of years

Interest earned = A − P.

Example. ₹1L at 8% per year for 10 years, compounded annually: A = 100,000 × (1.08)^10 = ₹2,15,892 — so ₹1,15,892 of interest on the original ₹1L.

Simple vs compound — the gap widens over time

Simple interest stays linear: ₹1L at 8% earns ₹8k every year, no matter how many years pass. Compound interest curves upward because each year's interest joins the principal.

₹1L at 8%, simple vs annually compounded:

  • 5 years: simple ₹1.40L · compound ₹1.47L · gap ₹7k
  • 10 years: simple ₹1.80L · compound ₹2.16L · gap ₹36k
  • 20 years: simple ₹2.60L · compound ₹4.66L · gap ₹2.06L
  • 30 years: simple ₹3.40L · compound ₹10.06L · gap ₹6.66L

The longer the horizon, the more compounding dominates. That's why "start investing early" is the single most repeated piece of personal-finance advice.

Compounding frequency

At the same nominal annual rate, more frequent compounding yields slightly more. Take ₹10L at 8% for 10 years:

  • Annually (n=1): ₹21,58,925
  • Half-yearly (n=2): ₹21,91,123
  • Quarterly (n=4): ₹22,08,040
  • Monthly (n=12): ₹22,19,640
  • Daily (n=365): ₹22,25,346
  • Continuous (P·e^(rt)): ₹22,25,541 — the upper limit

The differences shrink at high frequencies — daily and continuous are nearly identical. To fairly compare two products with different compounding, use the Effective Annual Rate (EAR): EAR = (1 + r/n)^n − 1. 8% compounded monthly has EAR 8.30%; 8% compounded quarterly has EAR 8.24%.

Rule of 72 and other shortcuts

Rule of 72: years to double ≈ 72 / rate%. At 6%, money doubles in 12 years; at 8%, in 9 years; at 12%, in 6 years. Accurate within ~5% for rates between 6% and 12%.

Rule of 114: years to triple ≈ 114 / rate%. At 8% your money triples in ~14 years.

Rule of 144: years to quadruple ≈ 144 / rate%. At 8% your money 4x's in ~18 years.

Real returns: subtract inflation. If inflation runs 6%/yr and you earn 8% nominal, your purchasing power grows at only ~2%/yr. Always plan with real (post-inflation, post-tax) numbers for long-horizon goals.

Educational only — not financial advice.

Step-by-step usage

  1. Enter the basics — Principal, annual rate (%), tenure (years) and currency. Default Indian Rupees, switch to USD / EUR / GBP if needed.
  2. Pick compounding frequency — More frequent compounding gives slightly higher returns. Use 'Effective Annual Rate (EAR)' on the result card to fairly compare products at different frequencies.
  3. Read the growth curve — Maturity amount, total contributions and interest earned. The year-by-year table makes the compounding curve concrete — watch the interest column accelerate.

Common pitfalls

  • Confirm rates, compounding frequency, tax year, dates, and rounding before acting on the result.
  • Fees, penalties, inflation, and local rules can make real outcomes differ from simple formulas.
  • Treat results as guidance, not financial, tax, legal, or investment advice.

Privacy and security

Browser-first by design. The tool page explains any exception before you use it.

Your money amounts, rates, dates, and calculated scenarios stay in the browser. EpitomeTool does not upload finance inputs or generated results to a server.

Frequently asked questions

Is my data uploaded anywhere?

No. Every calculation runs in your browser. Nothing is sent to a server, logged, or stored.

What's the compound interest formula?

A = P(1 + r/n)^(nt), where P is principal, r is the annual rate (decimal), n is the number of compounding periods per year (1=annually, 2=half-yearly, 4=quarterly, 12=monthly, 365=daily) and t is years. Interest earned is A − P.

What's the difference between simple and compound interest?

Simple interest is calculated only on the original principal: SI = P × r × t. Compound interest is calculated on the principal AND the accumulated interest from previous periods, so it grows exponentially. Over long horizons the difference becomes massive — ₹1L at 8% for 30 years gives ₹2.4L simple vs ₹10.06L compounded annually.

How does compounding frequency affect returns?

More frequent compounding gives slightly higher returns at the same nominal rate. ₹10L at 8% for 10 years gives ₹21.58L annual, ₹21.91L half-yearly, ₹22.08L quarterly, ₹22.20L monthly, ₹22.25L daily. The differences shrink at high frequencies and approach a continuous-compounding limit of P·e^(rt).

What's an EAR (Effective Annual Rate)?

The actual annual return after accounting for intra-year compounding: EAR = (1 + r/n)^n − 1. An 8% rate compounded monthly has EAR = (1 + 0.08/12)^12 − 1 = 8.30%. Use EAR to fairly compare two products with different compounding frequencies.

What's the Rule of 72?

A shortcut: years to double ≈ 72 / annual rate %. At 8% your money roughly doubles in 9 years; at 12% in 6 years. It's accurate to within ~5% for rates between 6% and 12%, which covers most real-world fixed-income and equity returns.

What about taxes and inflation?

This calculator shows nominal (pre-tax, pre-inflation) returns. To get the real return, subtract the inflation rate (or use the Fisher equation: real ≈ nominal − inflation). For taxes, apply your slab on the interest portion for fixed deposits / debt funds; equity funds have separate LTCG/STCG rules.

Does this support irregular contributions?

No — the optional contribution input assumes a constant amount at the end of each compounding period. For irregular cashflows (lump-sum top-ups, varying amounts) you need XIRR — try a spreadsheet or a dedicated XIRR calculator.

Keep exploring

More tools you'll like

Hand-picked utilities that pair well with the one you're on — all free, client-side, and zero-signup.