積立投資シミュレーター (SIP) - 無料オンライン計算ツール

毎月の積立額と想定利回り(年利)から、将来の積立総額と複利運用益を瞬時にシミュレーション。

よく検索されるキーワード:Calculate maturity amount for $500 monthly SIPExpected mutual fund returns over 10 and 20 yearsMonthly compounding annuity due formulaSIP vs Lumpsum investment comparison

What is a SIP? A Systematic Investment Plan (SIP) is a disciplined way of putting money into a mutual fund or index fund - a fixed sum, at a fixed interval, usually every month - instead of writing one big cheque and hoping you timed it right. Each instalment simply buys units at whatever price the fund is trading at that day, so across a few years your average purchase cost naturally settles somewhere between the market's highs and lows. Outside India, the same habit goes by a more familiar name: dollar-cost averaging.

Regulatory context. This calculator runs on the standard future-value-of-an-annuity-due formula for monthly SIPs - the same compounding logic that sits behind SEBI's investor-education material on SIPs in India, the U.S. SEC's official explainer on dollar-cost averaging, and the EU's UCITS framework that governs how pooled retail funds are allowed to operate. Every output here has been checked by hand against the formula.

This tool gives you a mathematical projection built on one constant, assumed rate of return. Real markets don't move in a straight line. Actual fund returns swing year to year, and nothing about the past performance of any fund guarantees what happens next.

数式と証明標準的な数学記法

この計算式のしくみ

The maturity value of a SIP is just the sum of every monthly instalment (P), each one compounding at the periodic rate (i) for however many months it has left to grow, across a total run of n months. Because the deposit is assumed to land at the start of each month rather than the end, the formula carries one extra (1+i) factor - this is what separates an "annuity due" from an ordinary annuity.

標準的な数学記法
M = P × [((1+i)ⁿ − 1) / i] × (1+i)
数理・金融工学に基づいた検証済みの計算式と透明な算出プロセス。

変数の定義と単位

P
Monthly investment
The fixed amount you commit at the start of every month, before the fund's expense ratio is deducted.
i
Periodic monthly rate
Your expected annual return, divided by 12 and by 100 (12% becomes 0.01).
n
Number of instalments
Total months in your investment horizon (10 years = 120 instalments).
ステップごとの計算例

Worked example

An investor puts $500 into an equity fund every month, expects a 12% annual return, and stays in for 10 years (120 instalments):

Monthly Deposit (P):$500Expected Return (i):12%Tenure (n):10 Years (120 months)
1
Periodic rate (i)
12 ÷ (12 × 100) = 0.01/month
Monthly compounding periodic rate.
2
Compounding factor (1+i)ⁿ
(1.01)¹²⁰ ≈ 3.30039
Compounding accumulation multiplier over 120 months.
3
Numerator ratio
(3.30039 − 1) / 0.01 = 230.039
Ordinary annuity geometric series factor.
4
Annuity-due adjustment
230.039 × 1.01 = 232.339
Advance-timing factor for start-of-month deposits.
5
Maturity value
500 × 232.339 ≈ $116,169.70
Projected accumulated corpus value.
まとめ: Out of their own pocket, the investor put in $60,000 across 10 years. The rest - roughly $56,169.70 - is pure compounding. Put another way, nearly 48% of the final corpus was never actually "theirs" to begin with; it was interest earning interest.
詳しい解説

The accelerating curve of compounding wealth

An EMI schedule is steep at first and flattens out. A SIP does the opposite - it starts almost flat and then takes off. In the early years, your own monthly contribution is doing most of the work, simply because compounding hasn't had time to build momentum. Somewhere around the two-thirds mark of a long SIP, that flips: gains from money you've already invested start growing faster than the fresh money you're adding each month. It's the reason every advisor says some version of the same thing - start early, even with a small amount, because time in the market matters more than the size of any single instalment.

SIP vs. Lump Sum

Comparison FeatureSIP (Systematic)Lump Sum
Entry-timing riskSpread across many monthsConcentrated on one date
Best suited toSalaried investors, monthly cash flowWindfalls, bonuses, inheritance
Market-timing skill neededLowHigh
Discipline requiredHigh - needs consistencyOne decision, done
Behaviour in volatile marketsBuys more units when prices fallNo averaging benefit
Bottom lineTends to edge out lump sum in choppy or falling markets, on a cost-basis viewCan outperform if the market rises steadily from day one

Typical long-term return ranges by asset class

Asset ClassIndicative annual return (long-term)Volatility
Large-cap equity funds10% – 12%Moderate
Mid/small-cap equity funds12% – 16%High
Index funds (broad market)10% – 13%Moderate
Hybrid / balanced funds8% – 10%Low–Moderate
Debt / bond funds6% – 8%Low

These are indicative historical averages only - not guarantees. Check a fund's official factsheet before you commit money to it.

Related reading

Investors juggling a loan often ask the same question: should spare cash go toward extra loan payments, or into a SIP? Our EMI calculator shows how prepayment shortens a loan's tenure, while this page shows what the same money could become if invested instead - comparing the two side by side is really the only honest way to weigh the opportunity cost. If you're picturing a one-time deposit rather than monthly instalments, our compound interest calculator covers that version of the same math.

よくある質問(FAQ)

積立投資シミュレーター (SIP)に関するよくある質問(FAQ)

Does a SIP guarantee fixed returns?

No. Unlike a fixed deposit, a SIP sits in market-linked instruments, so returns move with the market. The rate you type into this calculator is an assumption for projection - not a promise.

What is dollar-cost / rupee-cost averaging?

Because you invest the same amount every month regardless of price, you automatically end up buying more units when prices dip and fewer when they climb - which smooths your average purchase cost over time.

Is a SIP better than investing a lump sum?

It depends on the market and your cash flow. SIPs cut timing risk and suit a regular paycheck; a lump sum can win out in a market that climbs steadily from your entry date.

What happens if I miss a monthly instalment?

Most SIPs just skip that month, no penalty - your existing units and their growth stay untouched, you only lose that one month's worth of compounding.

Are SIP returns taxed?

In most countries, yes - capital gains tax usually applies when you redeem units, and the rate depends on how long you held them and what asset class they're in. Check local rules or a tax advisor for the specifics that apply to you.

Verified sources (EN)

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