How to Calculate Annuity vs Lump Sum

What is Annuity vs Lump Sum?

When offered a pension payout, a lump sum gives all money upfront to invest, while an annuity provides guaranteed lifetime income.

Formula

Annuity PV = Annual payment x [(1 - (1+r)^(-n)) / r]

PV: Annual payment x [(1 - (1+r)^(-n)) / r] — Annual payment x [(1 - (1+r)^(-n)) / r]

Step-by-Step Guide

1Annuity PV = Annual payment x [(1 - (1+r)^(-n)) / r]
2If Annuity PV > Lump sum: annuity is mathematically better
3Longevity risk: annuities protect against outliving your money

Worked Examples

Input

$500K lump vs $30K/year for 25 years at 6% discount rate

Result

Annuity PV approx $383K - lump sum wins; at 4% rate, PV approx $469K - close call

Frequently Asked Questions

What is Annuity Vs Lump?

When offered a pension payout, a lump sum gives all money upfront to invest, while an annuity provides guaranteed lifetime income. Use this calculator for accurate, instant results.

How accurate is the Annuity Vs Lump calculator?

The calculator uses the standard published formula for annuity vs lump. Results are accurate to the precision of the inputs you provide. For financial, medical, or legal decisions, always verify with a qualified professional.

What units does the Annuity Vs Lump calculator use?

This calculator works with inches, watts. You can enter values in the units shown — the calculator handles all conversions internally.

What formula does the Annuity Vs Lump calculator use?

The core formula is: Annuity PV = Annual payment x [(1 - (1+r)^(-n)) / r]. Each step in the calculation is shown so you can verify the result manually.

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