How Much SIP is Needed for a ₹1 Crore Corpus?
1. The Mathematical Formula Behind the Target
To calculate the exact monthly investment required to reach a specific financial target (such as ₹1 Crore), we use the mathematical formula for the **Future Value of an Ordinary Annuity (Compounded Monthly)**.
FV = P × [ ( (1 + i)^n - 1 ) / i ] × (1 + i)
Where:
- FV = Target Future Value (₹1,00,00,000)
- P = Monthly SIP installment amount (to be calculated)
- i = Monthly interest rate (Annual return rate / 12 / 100)
- n = Total number of monthly installments (Years × 12)
To isolate the monthly installment amount (**P**), we rearrange the formula:
P = FV / ( [ ( (1 + i)^n - 1 ) / i ] × (1 + i) )
2. Monthly SIP Required: Factual Calculation Matrix
The table below displays the required monthly installment (rounded up to the nearest rupee) to accumulate ₹1 Crore across different investment periods and return assumptions:
| Tenure (Years) | At 8% CAGR (₹) | At 10% CAGR (₹) | At 12% CAGR (₹) | At 15% CAGR (₹) |
|---|---|---|---|---|
| 10 Years (n = 120) | 54,299 | 48,414 | 43,041 | 35,888 |
| 15 Years (n = 180) | 28,895 | 24,127 | 20,017 | 14,959 |
| 20 Years (n = 240) | 16,977 | 13,169 | 10,109 | 6,762 |
3. Analysis of Capital Contributed vs. Returns
Comparing the actual amount invested by the investor versus the interest earned highlights the impact of compounding over longer tenures.
Scenario A: 10 Years at 12% CAGR
To reach ₹1 Crore in 10 years at a 12% annual return rate, you must invest ₹43,041 monthly.
- Total Invested Principal: ₹51,64,920 (51.6% of final value)
- Compounded Interest Gain: ₹48,35,080 (48.4% of final value)
Scenario B: 20 Years at 12% CAGR
To reach ₹1 Crore in 20 years at a 12% annual return rate, you must invest ₹10,109 monthly.
- Total Invested Principal: ₹24,26,160 (24.3% of final value)
- Compounded Interest Gain: ₹75,73,840 (75.7% of final value)
The math demonstrates that doubling the duration from 10 to 20 years reduces the required monthly installment by over 76% (from ₹43,041 to ₹10,109), because the accumulated interest has a longer period to compound.