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Mutual fund calculators · Matched-budget investing

SIP vs Lump Sum Calculator

Created by Arunangshu DasReviewed

Compare investing one available amount today with staging the same budget into equal monthly payments.

Use the same assumed investment return for both plans and see how timing changes ending wealth.

Matched capital and timing

Use the same capital available now and the same return assumption for both strategies. The staged reserve earns zero.

Formatting only. The calculator performs no currency conversion.

Ending wealth comparison

Enter a capital budget and assumptions or load the worked example.

A positive difference means lump sum ends higher under these assumptions. A negative difference means the staged plan ends higher. The installment is a mathematical fraction of the budget.

Understand what drives the projection

Walk through the matched cash schedules, reserve assumption and signed comparison.

Read the complete SIP vs Lump Sum guide

Formula and methodology

Ending wealth = invested value + uninvested reserve.

Let B be the available budget, n the complete months and f = (1 + A)^(1/12) for effective annual decimal return A. Lump sum ends at B × f^n. For n greater than zero, staged value is (B/n) times the sum of payment growth factors. End timing uses exponents 0 through n−1. Beginning timing uses 1 through n.

Definitions

The lump sum invests one budget upfront. The staged SIP divides that same budget into equal monthly investments. Both start with the full capital available, and uninvested staged cash earns zero.

Verified worked examples

With 100 available and two months at an effective annual rate of −71.7570463519%, the monthly factor is exactly 0.9. Lump sum ends at 81. Two end-of-month payments of 50 end at 95, giving a lump-sum-minus-SIP difference of −14. Beginning timing gives 85.50, a difference of −4.50.

Interpretation

Compare ending wealth at the same checkpoint. The signed gap is lump sum minus staged SIP. Higher ending wealth under the assumed rate does not establish future performance or suitability.

Inputs and interpretation

Enter the capital available now, complete months and the assumed effective annual percentage. Choose staged payment timing. Review the two ending values, invested amounts, reserve balances and signed gains or losses.

Assumptions and limitations

All capital is available at the opening checkpoint. The reserve has zero return. Both invested balances use one constant rate and the same valuation horizon. At zero months the staged plan makes no payments and retains the full reserve.

Supported domain and common mistakes

Use a budget from 0 to 10^12, 0 through 1,200 whole months and an effective annual percentage above −100% through 100%. Inputs allow 12 fractional digits. The model uses 100 significant digits and rejects either ending value above 10^30.

Do not compare unequal budgets or treat payments from future income as capital already available. Keep the rate and end date consistent. The model keeps fractional payments internally, so rounding them independently could change the funded total.

Frequently asked questions

How do you compare SIP and lump sum with the same money?
Start with the same amount available upfront. Invest all of it immediately in one plan and stage the same budget in equal monthly payments in the other. Compare ending wealth on the same date.
Does the money waiting to be invested earn interest?
This model assigns zero return to the uninvested reserve. A real reserve may earn interest or have costs.
What does a negative difference mean?
The signed difference is lump sum minus staged SIP. A negative value means the staged plan has higher ending wealth in the supplied scenario.
What happens at zero months?
The lump sum is invested at the opening checkpoint and has no time to grow. The staged plan retains the entire budget as reserve. Both ending values equal the budget.
Do you round each staged payment to cents?
The model divides the budget by the number of payments and preserves fractional installments internally. The displayed amount is illustrative and does not define an executable payment schedule.
Can I use money I expect to earn in future months?
This comparison assumes all capital is available upfront. Use a forward SIP projection to model monthly contributions funded from future income.

Sources and educational scope

Educational constant-return comparison in one currency. It excludes market paths, interest on reserves, fees, taxes, inflation, FX and execution dates. It does not provide personalized investment advice.

Reviewed . AI-assisted content under operator editorial responsibility. No independent expert financial review is claimed.

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