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如何计算Annuity vs Lump Sum

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

公式

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]

分步指南

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

例题解析

输入
$500K lump vs $30K/year for 25 years at 6% discount rate
结果
Annuity PV approx $383K - lump sum wins; at 4% rate, PV approx $469K - close call

常见问题

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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