lump sum vs annuity calculator

Lump Sum vs Annuity Calculator

Lump Sum vs Annuity Calculator

Annuity Present Value: ₹0
Lump Sum: ₹0

Better Option:

💰 Lump Sum vs Annuity Calculator – Compare the Better Payout Option Instantly

A Lump Sum vs Annuity Calculator helps individuals make informed decisions when choosing between a one-time payout or regular income payments over time. It’s often used in situations like retirement plans, lottery winnings, settlements, and pensions.


🧾 What Is the Difference?

FeatureLump SumAnnuity
DefinitionOne-time paymentSeries of payments over a fixed period
FlexibilityHigh – invest or spend anytimeFixed – predictable income
Tax ImpactOften taxed upfrontMay be taxed as you receive payments
RiskMarket risk (if reinvested)Lower, more stable
ControlYou manage fundsProvider controls the payouts

🔢 How the Calculator Works

The calculator compares the present value of both options by discounting future annuity payments to today’s value.

🧮 Formula Used

🔹 Present Value of Annuity:

PVA=PMT⋅(1−(1+r)−nr)PVA = PMT \cdot \left( \frac{1 – (1 + r)^{-n}}{r} \right)PVA=PMT⋅(r1−(1+r)−n​)

Where:

  • PMTPMTPMT = periodic annuity payment
  • rrr = interest rate per period
  • nnn = total number of payments

You then compare this value to the lump sum offered.


🧠 Example

  • Lump Sum: ₹25,00,000
  • Annuity: ₹2,50,000 per year for 12 years
  • Discount rate: 6%

PVA=2,50,000⋅(1−(1+0.06)−120.06)≈₹21,45,000PVA = 2,50,000 \cdot \left( \frac{1 – (1 + 0.06)^{-12}}{0.06} \right) ≈ ₹21,45,000PVA=2,50,000⋅(0.061−(1+0.06)−12​)≈₹21,45,000

👉 Better Option: Lump Sum (₹25,00,000 > ₹21,45,000)


🧰 Inputs Required

  • Lump sum offer amount
  • Annuity payment amount
  • Number of periods (years or months)
  • Interest/discount rate (%)

📊 Use Cases

  • Retirement pension vs lump sum withdrawal
  • Lottery winnings payout choices
  • Structured settlements
  • End-of-service benefit decisions
  • Investment strategy planning

❓ FAQs – Lump Sum vs Annuity Calculator

🔹 When is lump sum better?

When you expect to earn a better return on investment than the annuity’s implied rate or if you prefer flexibility.


🔹 When is annuity better?

If you want guaranteed income, less responsibility, or tax deferral benefits.


🔹 Does inflation impact the decision?

Yes. An annuity with no inflation adjustment will lose value in real terms over time.


🔹 What interest rate should I use?

Use your expected return on investment, or consult with a financial advisor for a discount rate.


🔹 Can I include taxes?

Some advanced calculators include after-tax comparisons. Basic ones often do pre-tax.


🔹 What if the annuity is for life?

Use life expectancy estimates or actuarial tables to estimate the number of periods.