INVESTING CHANNEL

SIP Calculator

Calculate the wealth gain and future value of systematic index fund or mutual fund investment plans.

Calculator Variables

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%
yrs

Calculation Overview

Estimate your future wealth using our Systematic Investment Plan (SIP) calculator. Great for Mutual Funds, Index Funds, and Stock plans.

Mathematical Model & Formula

FV = PMT * [((1 + i)^n - 1) / i] * (1 + i)

An ordinary annuity pays at the end of the period, but a Systematic Investment Plan usually triggers contributions at the beginning of each monthly cycle. The extra (1 + i) factor accounts for this extra month of compounding on each deposit.

Variables Defined:
  • FV: Future value / wealth accumulated
  • PMT: Monthly SIP payment amount
  • i: Monthly interest rate (annual return rate / 12)
  • n: Total number of payments (months)

Worked Example Scenario

Scenario: You save $1,000 monthly for 5 years at an annual interest rate of 12%.

  1. PMT = $1,000, i = 0.12 / 12 = 0.01, n = 5 * 12 = 60
  2. Evaluate formula: $1,000 * [((1.01)^60 - 1) / 0.01] * (1.01)
  3. Accumulation factor: [ (1.8167 - 1) / 0.01 ] * 1.01 = 81.67 * 1.01 ≈ 82.486
  4. Solve final wealth: $1,000 * 82.486 = $82,486

Result: Your total portfolio is valued at $82,486, consisting of $60,000 deposits and $22,486 in interest gains.

Frequently Asked Questions

What is a Systematic Investment Plan (SIP)?

A SIP is a disciplined financial planning approach where you invest a fixed amount in index funds or mutual funds regularly, smoothing out market volatility via dollar-cost averaging.

Academic & Regulatory References