SIP Calculator
Estimate the maturity value of a monthly Systematic Investment Plan (SIP) in mutual funds for any expected return and duration.
Step-by-step working
- i = 12 / 12 / 100 = 0.010000
- n = 120 instalments
- ((1 + i)^n − 1) / i = 230.0387
- FV = 10,000 × 230.0387 × 1.010000 = ₹23,23,390.76
Mathematical Formula
Overview & Explanation
A SIP invests a fixed amount every month. Each instalment compounds for the months remaining, so the corpus is the future value of an annuity due.
How It Works
- Convert the expected annual return to a monthly rate i.
- Count the instalments n = years × 12.
- Apply the annuity-due future-value formula.
- Returns = maturity value − total invested.
Practical Applications
- Planning a retirement or child-education corpus.
- Comparing SIP amounts needed for a goal.
- Seeing the effect of staying invested longer.
Example 1: ₹10,000/month for 10 years at 12%
A common equity mutual fund assumption.
Inputs
Monthly SIP amount (₹): 10000 · Expected return (% p.a.): 12 · Investment period (years): 10
Step 1
i = 12 / 12 / 100 = 0.010000
Step 2
n = 120 instalments
Step 3
((1 + i)^n − 1) / i = 230.0387
Step 4
FV = 10,000 × 230.0387 × 1.010000 = ₹23,23,390.76
Maturity value
Result
Example 2: ₹5,000/month for 20 years at 12%
Half the amount, double the time.
Inputs
Monthly SIP amount (₹): 5000 · Expected return (% p.a.): 12 · Investment period (years): 20
Step 1
i = 12 / 12 / 100 = 0.010000
Step 2
n = 240 instalments
Step 3
((1 + i)^n − 1) / i = 989.2554
Step 4
FV = 5,000 × 989.2554 × 1.010000 = ₹49,95,739.6
Maturity value
Result
How it's calculated & sources
FV = P × [((1 + i)^n − 1) / i] × (1 + i), where P = monthly SIP, i = annual return / 12 / 100, n = number of months (instalments invested at the start of each month).
Frequently Asked Questions
Are SIP returns guaranteed?
Why does the formula multiply by (1 + i)?
Is the monthly rate exactly annual rate ÷ 12?
What return should I assume?
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