🇮🇳 India 2026 GuideMathematical Compounding

How to Calculate SIP Returns in India
— Formula, Examples & Step-by-Step Guide

Understand the exact compounding mathematics that power mutual fund Systematic Investment Plans (SIP). Learn why early-month contributions compound faster and see how small monthly investments accumulate into Crores over 10 to 20 years.

The Mutual Fund SIP Compounding Formula

Annuity-Due (Beginning of Period) Formula used by Indian AMCs

Mathematical Equation
FV = P × [ ( (1 + i)^n − 1 ) ÷ i ] × (1 + i)
Where FV is Future Value (Maturity Corpus)
Variable PMonthly Instalment

The fixed sum deposited into the mutual fund scheme on each deduction date (e.g. ₹5,000/month).

Variable iPeriodic Return Rate

Calculated as (Annual Expected Return ÷ 1200) or effective periodic rate (1 + r)^(1/12) − 1.

Variable nTotal Instalments

The total number of compounding cycles (Investment Horizon in Years × 12 months).

Step-by-Step Calculation: ₹5,000/Month for 10 Years @ 12% p.a.

Let us calculate the maturity value manually to understand how compounding multiplies your capital:

1
Determine Periodic Rate (i)

12% annual return ÷ 12 months = 1% per month = 0.01.

2
Determine Number of Payments (n)

10 years × 12 instalments/year = 120 instalments.

3
Compute Compounding Multiplier

(1 + 0.01)^120 = (1.01)^120 ≈ 3.30038689

4
Apply Annuity-Due Formula

FV = 5,000 × [ (3.30038689 − 1) ÷ 0.01 ] × 1.01 = 5,000 × 230.038689 × 1.01 ≈ ₹11,61,695

Total Capital Invested₹6,00,000 (120 × ₹5,000)
Compound Profit (Wealth Gained)+₹5,61,695 (+93.6% gain)
Final Corpus₹11.62 Lakhs

SIP Returns Benchmark Table (At 12% Expected Return)

How ₹1,000, ₹5,000, ₹10,000, and ₹25,000 grow across 5, 10, 15, and 20 years

Monthly SIP5 Years (Corpus)10 Years (Corpus)15 Years (Corpus)20 Years (Corpus)
₹1,000 / month₹82,486Inv: ₹60,000₹2,32,339Inv: ₹1,20,000₹5,04,576Inv: ₹1,80,000₹9,99,148Inv: ₹2,40,000
₹5,000 / month₹4,12,432Inv: ₹3,00,000₹11,61,695Inv: ₹6,00,000₹25,22,880Inv: ₹9,00,000₹49,95,740Inv: ₹12,00,000
₹10,000 / month₹8,24,864Inv: ₹6,00,000₹23,23,391Inv: ₹12,00,000₹50,45,760Inv: ₹18,00,000₹99,91,479Inv: ₹24,00,000
₹25,000 / month₹20,62,160Inv: ₹15,00,000₹58,08,477Inv: ₹30,00,000₹1.26 CrInv: ₹45,00,000₹2.50 CrInv: ₹60,00,000

Frequently Asked Questions on SIP Calculations

What is the exact mathematical formula to calculate SIP returns in mutual funds?

The future value (FV) of a SIP using the annuity-due convention is: FV = P × [((1 + i)^n - 1) / i] × (1 + i). Here, P is the periodic instalment, i is the periodic interest rate ((1 + r)^(1/12) - 1 for effective annual rate or r/12 for nominal), and n is the total number of instalments (Years × 12).

Why is the beginning-of-period (annuity-due) formula used instead of end-of-period?

In Indian mutual funds (Groww, Zerodha Coin, Kuvera), your SIP instalment is debited on the scheduled SIP date (e.g. 5th of the month) and units are allotted at that day NAV. Thus, that instalment compounds for that entire month, earning an extra period of compound interest compared to an ordinary annuity.

How much return can I expect from an equity SIP over 10 to 15 years in India?

Historically, diversified equity mutual funds and the Nifty 50 Index have generated a 12% to 14% Compound Annual Growth Rate (CAGR) over 10-15 year cycles. While market volatility occurs in the short term, rupee cost averaging smooths unit purchase costs over the long run.

How does PILOTEQ calculator calculate SIP returns?

PILOTEQ uses the effective annual interest rate compounding engine: periodic rate = (1 + annual rate)^(1/n) - 1. It simulates each individual monthly instalment on an annuity-due basis and supports Step-Up SIP and lump sum combinations with 100% mathematical precision.

What is the capital gains tax on mutual fund SIP returns in 2026?

Under the revised tax provisions from Union Budget 2024-2026, Long-Term Capital Gains (LTCG) on equity mutual funds held for more than 12 months are taxed at 12.5% on profits exceeding ₹1.25 Lakh per financial year. Short-Term Capital Gains (STCG) on units held for 12 months or less are taxed at 20%. Each individual SIP instalment has its own 12-month clock.

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