📈 Finance & Investment Guide

Compound Interest Calculator: Formula, Examples & FD Returns India (2026)

📅 May 2026⏱ 10 min read✍️ ToolLoom Editorial

You deposit ₹1 lakh in an FD. After 5 years, the bank says your maturity amount is ₹1,41,478. Where did the extra ₹41,478 come from? The answer is compound interest — your interest earning interest, month after month, year after year. This guide explains everything.

📋 In This Article
  1. What is compound interest?
  2. The CI formula explained
  3. Step-by-step solved examples
  4. Compounding frequency — which earns more?
  5. Simple interest vs compound interest
  6. Rule of 72 — mental math shortcut
  7. Indian FD, SIP & post office returns
  8. How to maximise compound interest
  9. Frequently asked questions

What is Compound Interest?

Compound interest is interest calculated on both the original principal and the interest already accumulated from previous periods. Every time interest is added to your principal, the new — larger — total becomes the base for the next interest calculation. This creates a snowball effect: the more time passes, the faster your money grows.

🏦
Bank FD
Indian bank FDs compound quarterly. Your interest is added to principal every 3 months, growing your base for the next quarter.
📈
Mutual Funds & SIP
NAV grows daily. Reinvested returns compound over time. SIP's power comes from buying units early and letting them compound longest.
🏠
Home Loan Interest
Banks charge compound interest on loans too. This is why paying EMIs on time (and even prepaying) saves enormous amounts over time.
📮
Post Office Schemes
NSC compounds annually. SCSS and PPF compound quarterly. These government-backed schemes are safe and CI-powered.
💳
Credit Card Debt
Credit card outstanding compounds monthly at 36–48% per year. Unpaid balances grow terrifyingly fast — the flip side of CI.
👴
Retirement Corpus
₹5,000/month in SIP for 30 years at 12% grows to over ₹1.7 crore. The last 10 years contribute more than the first 20 combined.

The CI Formula Explained

The standard compound interest formula is:

Compound Interest Formula
A = P × (1 + r/n) ^ (n × t)  |  CI = A − P
  • A — Final maturity amount (principal + interest)
  • P — Principal (initial investment or deposit)
  • r — Annual interest rate as a decimal (e.g. 7% = 0.07)
  • n — Number of times interest is compounded per year (annually=1, quarterly=4, monthly=12, daily=365)
  • t — Time in years
  • CI — Compound Interest = A − P
💡

Key insight: When n=1 (annual compounding), the formula becomes A = P × (1 + r)^t — the simplest form. Increasing n always increases the maturity amount, but the gains shrink as n gets very large. Monthly vs daily compounding is almost negligible in practice.

Step-by-Step Solved Examples

Example 1 — Standard FD (Quarterly Compounding)

📌 P = ₹1,00,000 | Rate = 7% p.a. | Time = 5 years | n = Quarterly (4)
Step 1: Convert rate to decimal → r = 7 ÷ 100 = 0.07
Step 2: Calculate r/n → 0.07 ÷ 4 = 0.0175 (rate per quarter)
Step 3: Calculate n × t → 4 × 5 = 20 (total compounding periods)
Step 4: A = 1,00,000 × (1 + 0.0175)²⁰
Step 5: A = 1,00,000 × (1.0175)²⁰ = 1,00,000 × 1.41478 = ₹1,41,478
✅ Maturity Amount = ₹1,41,478 | CI = ₹41,478

Example 2 — Post Office NSC (Annual Compounding)

📌 P = ₹1,00,000 | Rate = 7.7% p.a. | Time = 5 years | n = Annual (1)
Step 1: r = 0.077 | n = 1 | n×t = 5
Step 2: A = 1,00,000 × (1 + 0.077)⁵
Step 3: A = 1,00,000 × (1.077)⁵ = 1,00,000 × 1.44931 = ₹1,44,931
✅ Maturity Amount = ₹1,44,931 | CI = ₹44,931

Example 3 — Long-Term Investment (Monthly Compounding)

📌 P = ₹5,00,000 | Rate = 12% p.a. | Time = 10 years | n = Monthly (12)
Step 1: r/n = 0.12/12 = 0.01 | n×t = 120
Step 2: A = 5,00,000 × (1.01)¹²⁰
Step 3: A = 5,00,000 × 3.30039 = ₹16,50,193
✅ Maturity Amount = ₹16,50,193 | CI = ₹11,50,193 (230% of principal!)

Compounding Frequency — Which Earns More?

All Indian banks must disclose compounding frequency. For the same principal and annual rate, more frequent compounding always means higher returns. Here is how ₹1,00,000 at 7% per year grows over 5 years:

CompoundingFormula (n)MaturityCI Earnedvs Annual
Annually1₹1,40,255₹40,255
Semi-Annually2₹1,41,060₹41,060+₹805
Quarterly4₹1,41,478₹41,478+₹1,223
Monthly12₹1,41,763₹41,763+₹1,508
Daily365₹1,41,906₹41,906+₹1,651

The difference between quarterly and daily is only ₹428 on ₹1 lakh over 5 years — essentially negligible. What matters far more is the interest rate and time period, not chasing daily vs monthly compounding.

Simple Interest vs Compound Interest

Simple interest (SI) calculates interest only on the original principal: SI = P × r × t. Compound interest always outperforms simple interest — and the gap widens dramatically with time.

Time PeriodSimple InterestCompound Interest (Quarterly)CI Advantage
1 year₹7,000₹7,186+₹186
3 years₹21,000₹23,144+₹2,144
5 years₹35,000₹41,478+₹6,478
10 years₹70,000₹99,151+₹29,151
20 years₹1,40,000₹2,98,372+₹1,58,372
30 years₹2,10,000₹7,68,609+₹5,58,609

P = ₹1,00,000 at 7% per year. The 30-year CI advantage is over ₹5.5 lakh on the same principal and rate.

Rule of 72 — Mental Math Shortcut

The Rule of 72 lets you estimate how many years it takes to double your money at compound interest, without any calculator:

Rule of 72
Years to Double = 72 ÷ Annual Interest Rate (%)
Investment / SchemeApprox. RateYears to Double (Rule of 72)
Savings Account3.5%72 ÷ 3.5 ≈ 20.6 years
Post Office RD6.7%72 ÷ 6.7 ≈ 10.7 years
SBI FD (5 yr)6.5%72 ÷ 6.5 ≈ 11.1 years
PPF7.1%72 ÷ 7.1 ≈ 10.1 years
HDFC FD (3 yr)7.25%72 ÷ 7.25 ≈ 9.9 years
Equity Mutual Fund (est.)12%72 ÷ 12 = 6 years
Credit Card Debt40%72 ÷ 40 ≈ 1.8 years (debt doubles!)
🚨

Credit Card Warning: Credit card outstanding at 40% per year doubles in under 2 years. A ₹50,000 unpaid balance becomes ₹1 lakh in less than 24 months if you pay only the minimum due.

Indian FD, PPF, SIP & Post Office Returns

Bank FD Interest Rates 2026 (Major Banks)

Bank1 Year3 Years5 YearsSenior Citizen Bonus
State Bank of India6.80%6.75%6.50%+0.50%
HDFC Bank6.60%7.25%7.00%+0.25–0.75%
ICICI Bank6.70%7.20%7.00%+0.25%
Axis Bank6.70%7.20%7.10%+0.25%
Kotak Mahindra Bank7.10%7.25%6.20%+0.50%
Bank of Baroda6.85%7.25%6.50%+0.50%

All major bank FDs compound quarterly. Senior citizens typically receive 0.25–0.75% extra. Rates as of May 2026 — verify directly with the bank.

Post Office & Government Schemes (Q1 2026)

SchemeRateCompoundingMaturity / Lock-inTax Benefit
PPF7.1%Annual15 yearsEEE (fully tax-free)
NSC7.7%Annual5 years80C deduction
SCSS (Senior Citizens)8.2%Quarterly5 years80C deduction
Post Office TD (5 yr)7.5%Annual5 years80C deduction
Sukanya Samriddhi8.2%Annual21 yearsEEE (fully tax-free)
KVP7.5%Annual~9.6 yearsNo 80C

Best for long-term wealth: PPF and Sukanya Samriddhi are EEE (Exempt-Exempt-Exempt) — contributions, interest, and maturity are all tax-free. At 7.1–8.2% compounded annually for 15–21 years, these are among the best safe investments available in India.

SIP and Mutual Fund Compounding

A SIP of ₹5,000/month for 20 years at an assumed 12% CAGR grows to approximately ₹49.9 lakh, on a total investment of just ₹12 lakh. The ₹37.9 lakh difference is pure compounding — your returns earning returns, month after month.

Units bought in Month 1 compound for the full 20 years; units bought in Month 240 only compound for 0 months. This is why the first few years of a SIP — not the last — are the most valuable.

How to Maximise Compound Interest

1

Start Early — Time is the Most Powerful Variable

₹1 lakh invested at 25 at 8% grows to ₹10.06 lakh by age 65 (40 years). The same amount invested at 35 grows to only ₹4.66 lakh (30 years). Starting 10 years earlier more than doubles the outcome — with the same money and rate.

2

Never Break Compounding — Reinvest Returns

Withdrawing interest defeats compounding entirely. Choose cumulative FDs, select growth option over IDCW in mutual funds, and let PPF interest compound within the account rather than withdrawing annually.

3

Increase SIP Amount Annually

A 10% annual step-up on your SIP can double or triple your corpus compared to a flat SIP. Starting at ₹5,000/month and stepping up 10% each year for 20 years creates a corpus almost 2x larger than a flat SIP over the same period.

4

Choose Higher Compounding Frequency When Rates Are Equal

If comparing two FDs with the same annual rate, prefer the one compounding more frequently. Quarterly compounding always beats annual at the same stated rate. Most major bank FDs already compound quarterly — check the fine print for small bank or NBFC FDs.

5

Pay Off High-Interest Debt First

Compound interest works against you on credit card balances (36–48% per year). Paying off a 40% credit card balance is the equivalent of earning 40% guaranteed returns — better than any investment available. Eliminate compounding debt before aggressively investing.

📈 Calculate CI Instantly with Year-by-Year Breakdown

Free compound interest calculator with FD presets for SBI, HDFC, and Post Office. See principal vs interest donut chart and full growth table.

Open CI Calculator →

Frequently Asked Questions

The compound interest formula is A = P × (1 + r/n)^(n×t), where A is the maturity amount, P is the principal, r is the annual interest rate as a decimal, n is the number of compounding periods per year, and t is the time in years. Compound Interest (CI) = A − P. For annual compounding, the formula simplifies to A = P × (1 + r)^t.
For quarterly compounding (used by most Indian banks), set n=4 in the formula. Divide the annual rate by 4 to get the quarterly rate, multiply the number of years by 4 to get total quarters, then raise (1 + quarterly rate) to that power. For ₹1,00,000 at 7% for 5 years: A = 1,00,000 × (1.0175)²⁰ = ₹1,41,478.
The Rule of 72 is a mental math shortcut to estimate how long it takes your money to double at compound interest. Simply divide 72 by the annual interest rate. At 8%, money doubles in 72÷8 = 9 years. At 6%, it takes 12 years. The rule works for any compounding frequency and is accurate within about 1% for rates between 4% and 15%.
Among major banks in 2026, Kotak Mahindra Bank offers up to 7.25% for some tenors, while HDFC and ICICI offer competitive 7–7.25% for 3-year FDs. Post Office SCSS and Sukanya Samriddhi offer 8.2%. Small finance banks like AU SFB often offer 8–9% — though with higher risk. Always verify current rates directly as they change quarterly.
Yes. Compound interest always generates higher returns than simple interest for the same principal, rate, and time period. Over 10–30 years, it becomes enormous. On ₹1 lakh at 8% for 20 years: simple interest gives ₹1,60,000 total, while compound interest (quarterly) gives ₹4,87,544 — more than three times as much.
SIP mutual funds compound through daily NAV growth. Every unit you buy increases in value as the underlying investments grow, and that growth compounds on itself over time. Each SIP instalment starts its own compounding journey — units bought in Year 1 compound for the full tenure, while later units compound for shorter periods. This is why SIP advisors emphasise starting early and not stopping during market downturns.
The Effective Annual Rate (EAR) is the true annual interest rate when compounding is more frequent than once per year. Formula: EAR = (1 + r/n)^n − 1. For a stated 7% compounded quarterly, the EAR = (1.0175)⁴ − 1 = 7.186%. Banks use stated rates in advertisements but EAR reflects actual returns.

More from ToolLoom