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Mathematical Tutorial

How to Calculate SIP Returns: Formula & Excel Tutorial

Ever wondered how online calculators and financial software compute the maturity corpus of a Systematic Investment Plan? Here is the complete mathematical breakdown.

The Future Value (FV) Annuity Formula

Because monthly SIP contributions are made at the beginning of each monthly cycle, finance mathematics treats a SIP as an Annuity Due:

Annuity Due Formula
FV = P × [((1 + r)ⁿ − 1) / r] × (1 + r)

Variable Definitions

  • FV: The total future maturity value at the end of the investment tenure.
  • P: The monthly investment amount deposited every month.
  • r: Periodic monthly rate of return = Annual Return Rate ÷ 12 ÷ 100. (For a 12% expected return, r = 12 / 12 / 100 = 0.01).
  • n: Total number of monthly installments = Tenure in Years × 12. (For 10 years, n = 120).

Step-by-Step Calculation Walkthrough

Let us calculate the maturity value for ₹10,000/month invested for 1 year (12 months) at an expected return of 12% per year:

  1. Monthly rate: r = 12 / 1200 = 0.01
  2. Number of months: n = 12
  3. Compounding factor: (1 + 0.01)¹² = 1.126825
  4. Subtract one: 1.126825 − 1 = 0.126825
  5. Divide by monthly rate r: 0.126825 / 0.01 = 12.6825
  6. Multiply by P: 10,000 × 12.6825 = ₹1,26,825
  7. Multiply by (1 + r): 1,26,825 × 1.01 = ₹1,28,093

Total invested: ₹1,20,000. Maturity value: ₹1,28,093. Profit: ₹8,093.

How to Calculate in Microsoft Excel / Google Sheets

Excel Formula:
=FV(12%/12, 120, -10000, 0, 1)

Where 12%/12 is monthly rate, 120 is months, -10000 is payment, 0 is PV, and 1 signifies deposit at beginning of month.

Frequently Asked Questions

The formula is the Future Value of an Annuity Due: FV = P × [((1 + r)^n − 1) / r] × (1 + r), where P is the periodic monthly deposit, r is the periodic monthly rate (annual return / 12 / 100), and n is the total number of monthly payments (Years × 12).