Investment growth — SIP, lumpsum, compounding
FV = P × [((1 + i)ⁿ − 1) / i] × (1 + i) · FV = P × (1 + r)ⁿ
Conventions
- A SIP instalment is invested at the start of the month and compounds monthly — the annuity-due convention AMFI and the AMCs use in their own illustrations.
- A lumpsum compounds annually on the whole amount from day one.
- Returns are the figure you enter, before exit load, expense ratio drag and capital gains tax. It should already be net of the fund’s expenses.
- A step-up is applied on each anniversary, so each year’s instalments are compounded separately rather than through the level-SIP closed form.
What most calculators get wrong here
The portfolio tool solves a real money-weighted XIRR over the actual dated flows. A plain CAGR equals XIRR only when there was exactly one purchase; with later top-ups it overstates the return, and labelling it "XIRR" — as this tool once did — makes the error invisible.