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Finance Formula

SIP Formula

Published on July 05, 2026 • Last updated July 05, 2026

Mathematical Equation

$$M = P \times \frac{(1 + i)^n - 1}{i} \times (1 + i)$$

Variable Definitions

M

M

Maturity amount at the end of the investment tenure

P

P

Periodic investment amount (monthly SIP installment)

i

i

Periodic interest rate (Annual Expected Return / 12 / 100)

n

n

Total number of payments made (Tenure in months)

Detailed Explanation

A Systematic Investment Plan (SIP) is a disciplined approach to mutual fund investing. Instead of deploying a large lump sum, investors commit a fixed amount periodically. This formula calculates the future value of a series of regular payments made at the start of each month (an annuity due), showing how compounding builds substantial wealth over time.

How to Calculate: Step-by-Step

1. Identify the regular monthly contribution ($P$). 2. Estimate the expected annual return rate ($R$) and convert to a monthly rate ($i = R / (12 \times 100)$). 3. Determine the total duration of the investment in months ($n = \text{years} \times 12$). 4. Calculate $(1 + i)^n$. 5. Compute the compounding factor: $\frac{(1 + i)^n - 1}{i}$. 6. Multiply by the monthly installment $P$ and the first-period compounding factor $(1 + i)$ to get the final maturity amount.

Worked Calculation Example

If you invest $500 every month for 10 years (120 months) in a mutual fund with an expected annual return of 12%: - Monthly Contribution ($P$) = $500 - Monthly Rate ($i$) = 12% / 12 = 1% = 0.01 - Duration ($n$) = 10 years × 12 months = 120 months - Calculate $(1 + i)^n$: $$(1.01)^{120} \approx 3.3004$$ - Compute maturity amount using the SIP formula: $$M = 500 \times \frac{3.3004 - 1}{0.01} \times (1 + 0.01)$$ $$M = 500 \times 230.04 \times 1.01 \approx \$116,169.54$$ - Total Invested Amount = $500 × 120 = $60,000 - Estimated Wealth Gained = $116,169.54 - $60,000 = $56,169.54

Common Use Cases

  • Planning long-term financial goals like retirement or children's education
  • Estimating mutual fund investment returns over time
  • Comparing different monthly savings plans and systematic schemes

Frequently Asked Questions

Yes, SIPs are highly flexible. You can pause, stop, or modify your monthly investment amount without any penalty, unlike bank recurring deposits.

The taxability depends on the mutual fund scheme. For instance, Equity Linked Savings Schemes (ELSS) offer tax benefits under Section 80C, but capital gains are subject to tax upon redemption based on equity holding duration.

A Step-Up SIP allows you to automatically increase your SIP contribution amount by a fixed percentage or amount periodically (e.g., annually), aligning your investments with your growing income.

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