How to Calculate Investment Returns (SIP & Lump Sum)
There are two common ways to invest: a lump sum (a single upfront amount) or SIP (Systematic Investment Plan — regular periodic contributions). The lump sum uses the compound interest formula directly, while SIP uses the future value of an annuity formula. Understanding both lets you project how much your investments will grow and compare different strategies.
Last updated: March 31, 2026
The Formula
Lump Sum FV = P × (1 + r/n)^(n×t) SIP FV = PMT × [((1 + r/n)^(n×t) − 1) / (r/n)] CAGR = (FV / P)^(1/t) − 1
Variable Definitions
| Symbol | Name | Description |
|---|---|---|
| P | Principal | The initial lump sum invested |
| PMT | Periodic Payment | The fixed amount contributed each period in a SIP |
| r | Annual Rate | Expected annual return as a decimal (e.g. 10% = 0.10) |
| n | Compounds per Year | 12 for monthly SIP, 1 for annual |
| t | Years | Total investment duration in years |
Step-by-Step Example
You invest ₹5,000 per month in a SIP for 10 years at an expected annual return of 12%. What is the future value?
Given
Solution
- 1Calculate (1 + 0.01)^120:
(1.01)^120 = 3.3004 - 2Subtract 1:
3.3004 − 1 = 2.3004 - 3Divide by period rate:
2.3004 / 0.01 = 230.04 - 4Multiply by PMT:
5000 × 230.04 = ₹11,50,200 - 5Total invested:
5000 × 120 = ₹6,00,000
Future value ≈ ₹11,50,200. You invested ₹6,00,000 and earned ₹5,50,200 in returns.
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Common Mistakes to Avoid
Using annual rate directly for monthly SIP — divide annual rate by 12 to get the monthly period rate.
Confusing FV (future value) with profit — profit = FV − total amount invested.
Assuming returns are guaranteed — SIP returns in equities are estimated, not fixed.
Ignoring inflation — a nominal return of 12% with 6% inflation is a real return of only ~5.7%.