Formula Guide

    How to Calculate Investment Returns (SIP & Lump Sum)

    There are two common ways to invest: a lump sum (a single upfront amount) or SIP (Systematic Investment Plan — regular periodic contributions). The lump sum uses the compound interest formula directly, while SIP uses the future value of an annuity formula. Understanding both lets you project how much your investments will grow and compare different strategies.

    Last updated: March 31, 2026

    The Formula

    Lump Sum FV = P × (1 + r/n)^(n×t)
    SIP FV = PMT × [((1 + r/n)^(n×t) − 1) / (r/n)]
    CAGR = (FV / P)^(1/t) − 1
    r is the annual interest rate as a decimal. For monthly SIP with annual rate r, use r/12 as the period rate and t×12 as total periods.

    Variable Definitions

    SymbolNameDescription
    PPrincipalThe initial lump sum invested
    PMTPeriodic PaymentThe fixed amount contributed each period in a SIP
    rAnnual RateExpected annual return as a decimal (e.g. 10% = 0.10)
    nCompounds per Year12 for monthly SIP, 1 for annual
    tYearsTotal investment duration in years

    Step-by-Step Example

    You invest ₹5,000 per month in a SIP for 10 years at an expected annual return of 12%. What is the future value?

    Given

    Monthly SIP (PMT):₹5,000Annual return (r):12% = 0.12Period rate (r/n):0.12 / 12 = 0.01Total months (n×t):12 × 10 = 120

    Solution

    1. 1
      Calculate (1 + 0.01)^120: (1.01)^120 = 3.3004
    2. 2
      Subtract 1: 3.3004 − 1 = 2.3004
    3. 3
      Divide by period rate: 2.3004 / 0.01 = 230.04
    4. 4
      Multiply by PMT: 5000 × 230.04 = ₹11,50,200
    5. 5
      Total invested: 5000 × 120 = ₹6,00,000

    Future value ≈ ₹11,50,200. You invested ₹6,00,000 and earned ₹5,50,200 in returns.

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    Common Mistakes to Avoid

    Using annual rate directly for monthly SIP — divide annual rate by 12 to get the monthly period rate.

    Confusing FV (future value) with profit — profit = FV − total amount invested.

    Assuming returns are guaranteed — SIP returns in equities are estimated, not fixed.

    Ignoring inflation — a nominal return of 12% with 6% inflation is a real return of only ~5.7%.

    Frequently Asked Questions

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