How This Calculator Works
A SIP is a future value of annuity calculation, where each monthly investment compounds at the periodic return rate. The standard formula assumes investments are made at the beginning of each month (annuity due):
FV = P × [((1 + i)n − 1) ÷ i] × (1 + i)
Where:
- P = monthly investment amount
- i = monthly interest rate = (1 + annual)1/12 − 1
- n = total number of months (years × 12)
The (1 + i) multiplier at the end accounts for the contribution being made at the start of each month rather than the end. If contributions are made at month-end (ordinary annuity), drop the final multiplier. To convert an annual return to a monthly rate, this geometric conversion is more accurate than simply dividing the annual rate by 12, especially at higher rates. At 12% annual, dividing by 12 gives 1.0% monthly; the geometric equivalent is 0.949% — a small but compounding difference over 20+ years.
Average purchase price = Total invested ÷ Total units purchased
A key benefit of SIPs is dollar-cost averaging (also called rupee-cost averaging in India): by investing a fixed amount monthly, you automatically buy more units when prices are low and fewer when high. This reduces the average purchase price relative to the average market price over the period. The math is the same whether you call it SIP, dollar-cost averaging, or a regular savings plan.
Doubling time ≈ 72 ÷ annual return (%)
At 12% returns, money doubles every 6 years. A 25-year SIP at 12% means each contribution doubles roughly 4 times before withdrawal. A $500 monthly SIP started at age 25 will have its first year's contributions worth about $8,000 by age 65 — a 16× multiplier from compounding alone. This is why financial planners universally recommend starting SIPs as early as possible, even with small amounts. The geometric monthly rate conversion matters more than it appears: over 20 years at 12% annual, using the simple division (1% monthly) instead of the geometric rate (0.949%) overstates the future value by about 4% — a $20,000 error on a $500/month SIP. Always use the geometric conversion for accuracy in long-horizon projections.
When to Use This Calculator
Use the SIP calculator when you want to:
- Project the future value of monthly mutual fund or ETF investments
- Compare SIP amounts — does $300 vs $500/month change the outcome dramatically?
- Decide between a SIP and a lump-sum investment of an existing windfall
- Model the impact of stepping up your SIP by 10% annually (a "step-up SIP")
- Plan for a child's education, wedding, or home down payment over 10–20 years
- Compare equity SIPs versus fixed-income alternatives like recurring deposits
- Visualize the power of starting early versus waiting a few years
- Compare a 15-year SIP at $500/month versus a 10-year SIP at $750/month (same total invested)
- Model a child's education fund starting at birth, targeting college age (18 years)
SIPs work best for long horizons (7+ years) in volatile assets like equities. For shorter horizons or risk-averse goals, use recurring deposits, high-yield savings, or bond ladders instead. The discipline of continuing a SIP during market downturns — rather than stopping — is what captures the recovery gains that drive long-term outperformance.
Example Calculation
An investor starts a SIP of $500/month in a diversified equity fund expecting 12% annual returns, for 20 years.
- Monthly investment: $500
- Annual return: 12% → monthly rate = (1.12)1/12 − 1 = 0.949%
- Total months: 240
- Total invested: $500 × 240 = $120,000
- Future value: $500 × [((1.00949)240 − 1) ÷ 0.00949] × 1.00949 ≈ $499,000
- Total gains: $499,000 − $120,000 = $379,000
So $120,000 of contributions grows to nearly $500,000 — a 4× multiplier, with gains contributing 76% of the final value.
Year-by-year highlights: Year 5 balance is about $41,000 (mostly contributions); Year 10 about $116,000 (gains start to dominate); Year 15 about $252,000 (gains exceed contributions); Year 20 about $499,000 (gains are 3× contributions). If the investor doubles the SIP to $1,000/month, the future value roughly doubles to about $998,000 — linear in contribution, exponential in time. If she extends the SIP from 20 to 25 years at the same $500/month, the future value jumps to about $950,000 — nearly doubling for just 5 extra years. This asymmetry is what makes starting early so valuable.
A step-up SIP — increasing the monthly contribution by 10% each year — transforms the outcome dramatically. Starting at $500/month and stepping up 10% annually for 20 years (contributing a total of about $344,000) yields a future value of approximately $950,000 — nearly double the flat SIP's $499,000, with only $224,000 more in total contributions. Step-up SIPs align with typical career income growth and are increasingly offered by fund platforms as the default option for investors who want to maximize long-term wealth without manual adjustments.