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Lump Sum plus Monthly Investment Growth Calculator — result sheet
Project the future value of an initial lump sum combined with equal end-of-month contributions under a nominal annual return compounded monthly.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Let i=(annual rate/100)/12 and n=12×years; lump-sum future value = P(1+i)^n; end-of-month contribution future value = PMT[(1+i)^n−1]/i, with the zero-rate limit PMT×n; total = both future values.
A starting lump sum and a regular monthly investment grow through different cash-flow timing: the initial amount is invested for the full period, while each monthly contribution enters at the end of its month. This page reports those components separately, then shows total contributions and growth so the visitor can see how much of the ending balance comes from deposits versus the assumed return.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Initial lump-sum investment — currency; minimum 0; maximum 1000000000000
- Monthly contribution — currency/month; minimum 0; maximum 1000000000
- Nominal annual return — %; Nominal annual rate compounded monthly; it is a scenario assumption, not a guaranteed return.; minimum -99.999; maximum 1000
- Investment period — years; minimum 1.0E-6; maximum 100
Worked example
| Input | Value |
|---|---|
| Initial lump-sum investment | 10000 |
| Monthly contribution | 500 |
| Nominal annual return | 8 |
| Investment period | 10 |
At a nominal 8% annual rate compounded monthly, the initial 10,000 grows to about 22,177.75 and the monthly deposits to about 91,473.09; the projected total is about 113,650.84.
Assumptions and limits
- The annual rate is a constant nominal rate converted to a monthly rate by dividing by twelve and compounded monthly.
- Monthly contributions occur at the end of each month and remain constant; the initial lump sum is invested at the start.
- Fractional years are converted to a fractional number of monthly periods for the mathematical scenario.
- Fees, taxes, inflation, withdrawals, contribution increases, defaults, volatility, and sequence-of-returns risk are not modeled.
- A negative rate is allowed within the bounded model but cannot reduce the monthly factor to zero or below.
- The output is a projection under stated assumptions, not a promise, recommendation, or country-specific savings rule.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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