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How To Calculate SIP Corpus

A Systematic Investment Plan invests a fixed amount in mutual funds every month. Each instalment compounds for the months remaining, so the corpus at the end is larger than the sum of your contributions by the gains.

Quick Answer

Corpus = P x ((1 + i)^n - 1) / i

P
Monthly instalment
i
Monthly rate of return
n
Number of monthly instalments

A ten thousand rupee monthly SIP at twelve percent a year for ten years grows to about 23,00,387 rupees from 12,00,000 invested, so compounding adds roughly 11,00,387 of gains, close to half the final corpus.

What Is SIP Corpus?

A Systematic Investment Plan is a way of investing a fixed amount in mutual funds at regular intervals, usually monthly. Instead of timing a lump sum, you spread contributions across the year and let each one compound.

The maths is an annuity. Every monthly instalment earns a return for the months that remain until the end of the term, and because instalments are made throughout the period, the early ones earn for much longer than the late ones.

The corpus at maturity is the monthly instalment multiplied by the annuity factor, which is one plus the monthly rate raised to the number of months, minus one, divided by the monthly rate.

The monthly rate is the expected annual return divided by twelve. It is an approximation of the true monthly compounding rate, but it is the convention used for SIP projections and keeps the arithmetic simple.

The amount you actually invested is the instalment times the number of months. The gains are the corpus minus that amount, and over a long term the gains can approach or exceed the money you put in.

SIPs are popular because of rupee-cost averaging. When the market is down your fixed instalment buys more units, and when it is up it buys fewer, which smooths the average purchase price over time.

Averaging does not guarantee a profit, but it removes the pressure of picking a single entry point. It also turns investing into a habit rather than a decision you have to make each month.

The expected return is the most sensitive input. A one percentage point change in the assumed return moves the final corpus by a meaningful amount over ten or twenty years, so treat the figure as a scenario rather than a forecast.

Time matters more than the instalment size. Because compounding is exponential, extending the term by a few years often adds more to the corpus than increasing the monthly amount, which is why starting early is the single most powerful lever.

The step-up variant increases the instalment each year, usually in line with your income. Even a modest annual step-up lifts the corpus noticeably over a long horizon, because the larger contributions also compound.

Mutual fund returns are not guaranteed. Equity funds can fall sharply in a bad year, and the smooth growth curve a SIP projection implies is an average, not a path. Plan for the volatility that sits behind the average.

Expense ratios and exit loads reduce the return you keep. A fund charging one percent a year hands you roughly one percent less than its gross return, so the return you enter should be net of costs.

A SIP works best alongside a lump sum rather than instead of one. If you have a large amount to invest, staggering it in over a few months reduces timing risk, but the money waiting on the sidelines earns nothing in the meantime.

The calculator models the instalment, the return and the term you enter and nothing more. It assumes a constant return and no missed instalments, so treat the output as an estimate and revisit it as your income and goals change.

Formula

Corpus = P x ((1 + i)^n - 1) / i

The future value of a series of equal monthly instalments at the end of each month.

SymbolMeaning
PMonthly instalment
iMonthly rate
nMonths

Gains = Corpus - P x n

The part of the corpus that comes from compounding rather than from your own contributions.

SymbolMeaning
FVCorpus
PMonthly instalment
nMonths

How To Calculate SIP Corpus

  1. 1

    Convert the return to a monthly rate

    Divide the expected annual return by twelve to get the monthly rate used in the annuity factor.

  2. 2

    Count the instalments

    Multiply the tenure in years by twelve to get the number of monthly instalments.

  3. 3

    Apply the annuity factor

    Raise one plus the monthly rate to the number of months, subtract one and divide by the monthly rate.

  4. 4

    Multiply by the instalment

    Multiplying the annuity factor by the monthly instalment gives the projected corpus.

  5. 5

    Split contributions from gains

    Multiply the instalment by the number of months to get the amount invested, then subtract it from the corpus to see the gains.

Examples

Example 1: 10,000 a month at 12 percent for 10 years

Monthly instalment
10000
Expected return
12%
Tenure
10
StepCalculationResult
Monthly rate12 / 121
Number of instalments10 x 12120
Annuity factor((1.01)^120 - 1) / 0.01230.0387
Corpus10000 x 230.03872300386.89
Total invested10000 x 1201200000

Result: The plan builds a corpus of 2300386.89 from 1200000 invested, so the gains of 1100386.89 make up close to half the final value.

Example 2: The same SIP run for 20 years

Monthly instalment
10000
Expected return
12%
Tenure
20
StepCalculationResult
Monthly rate12 / 121
Number of instalments20 x 12240
Annuity factor((1.01)^240 - 1) / 0.01989.2554
Corpus10000 x 989.25549892554.00
Total invested10000 x 2402400000

Result: Doubling the term lifts the corpus to 9892554.00 from 2400000 invested, so the gains of 7492554.00 dwarf the money contributed, which is the power of time.

Calculator

Expected corpus

$2,300,386.89

Total invested
$1,200,000.00
Estimated gains
$1,100,386.89
Gains as share
47.83%

Values update as you type. This calculator covers the single scenario its formula assumes — see Common Mistakes for what it leaves out.

Prefer a full-width tool? Open the SIP Corpus calculator page.

Common Mistakes

  • Treating the projected return as guaranteed

    Mutual fund returns vary year to year and can be negative. The smooth curve is an average, so plan for the volatility behind it.

  • Stopping the SIP in a falling market

    A downturn is when each instalment buys the most units. Pausing then removes the rupee-cost averaging that makes a SIP work.

  • Ignoring expense ratios and loads

    Fund costs reduce the return you keep, so the return you enter should be net of the expense ratio and any exit load.

  • Starting too late

    Because compounding is exponential, the last few years add the most. Delaying the start by even a few years costs more than most people expect.

  • Keeping the instalment flat forever

    A step-up that rises with income lifts the corpus considerably over a long term. Never revisiting the amount leaves growth on the table.

  • Investing money you will need soon

    A SIP needs time to smooth out market swings. Money needed within a year or two belongs in a deposit, not an equity fund.

  • Measuring only the corpus and not the goal

    A large corpus is meaningless without a target. Work backwards from the goal to find the instalment you actually need.

FAQ

How is a SIP corpus calculated?

It uses the future value of an annuity: the monthly instalment times one plus the monthly rate raised to the number of months, minus one, divided by the monthly rate.

What return should I assume?

Use a realistic net figure, below the fund's long-run gross return to allow for costs and volatility. The assumed return is the most sensitive input in the whole calculation.

Is a SIP better than a lump sum?

A SIP spreads your entry over time and removes the need to time the market. A lump sum invested early can do better in a rising market but carries more timing risk.

Does a longer term really help that much?

Yes. Because compounding is exponential, adding years usually lifts the corpus more than raising the instalment, which is why starting early matters so much.

What is a step-up SIP?

It raises the instalment each year, often with your income. The larger contributions also compound, so a modest step-up lifts the final corpus noticeably.

Can the corpus ever be less than what I invested?

Yes. If the fund falls over the term, the corpus can be below your contributions. Returns are not guaranteed and short terms are the riskiest.

References

  1. [1]Association of Mutual Funds in India, Systematic investment plans — https://www.amfiindia.com/
  2. [2]Investopedia, Future value of an annuity — https://www.investopedia.com/terms/f/future-value-annuity.asp
  3. [3]Investopedia, Rupee cost averaging — https://www.investopedia.com/terms/r/rupeecostaveraging.asp