How the SIP Formula Works (With Worked Example)
Unlike lump-sum investments where your entire capital compounds for the full tenure, a Systematic Investment Plan (SIP) deploys fresh cash every month. Because each SIP installment is invested at the beginning of the month, Indian AMCs and AMFI standard calculators use the Annuity-Due Future Value Formula:
FV = P × [ ((1 + i)n − 1) / i ] × (1 + i)
- P = Monthly SIP installment (e.g., ₹25,000)
- i = Periodic monthly rate = Annual Rate / 12 / 100 (e.g., 12% / 12 = 0.01)
- n = Total number of installments = Years × 12 (e.g., 15 × 12 = 180)
Step-by-Step Worked Example
For P = ₹25,000, Annual Rate = 12% (so i = 0.01), and Tenure = 15 Years (n = 180):
1. (1 + 0.01)180 = 5.995802
2. (5.995802 − 1) / 0.01 = 499.5802
3. FV = 25,000 × 499.5802 × 1.01 = ₹1,26,14,400 (₹1.26 Cr)
Practical SIP Strategies for Indian Investors
1. Use the 10% Annual Step-Up Rule
A static ₹25,000 SIP over 15 years at 12% grows to ₹1.26 Crore. If you activate a modest 10% annual step-up as your income rises, the exact same starting SIP compounds to ₹2.17 Crore—adding ₹91 Lakh of extra wealth.
2. Tax-Gain Harvesting Under Section 112A
Since ₹1.25 Lakh of long-term equity capital gains is tax-free every financial year, long-term investors often redeem and immediately re-invest units held over 12 months each March to reset their purchase NAV and legally lower future LTCG liability.
3. Never Stop SIPs During Market Corrections
Rupee Cost Averaging works best when Nifty falls 10–20%: your fixed monthly rupee amount buys significantly more mutual fund units at lower NAVs, turbocharging your recovery multiple.