Free to Use

Lump Sum vs Annuity Calculator

Should you take the lump sum or the annuity payments? Compare a one-time payout against monthly or yearly payments and find your break-even return rate.

Real-World Lump Sum vs Annuity Examples

๐ŸŽฐ Lottery Jackpot: $500,000 Now vs $2,000/Month for 25 Years

A lottery winner can take $500,000 today or $2,000 per month for 25 years (300 payments). Assuming a 6% annual return:

Lump Sum Future Value: $500,000 ร— (1.06)ยฒโต = $2,145,935

Annuity Future Value: 300 monthly payments reinvested at 6% = $1,385,688

Total Cash Received from Annuity: $2,000 ร— 300 = $600,000

Winner: Lump sum โ€” ahead by ~$760,247

Break-even Rate: only ~1.6%. If the winner can earn more than about 1.6% per year, the lump sum is the better choice.

The lump sum wins because the entire $500,000 compounds for the full 25 years, while annuity payments are invested gradually over time.

๐Ÿ“„ Structured Settlement: $100,000 Now vs $650/Month for 20 Years

A settlement offers $100,000 today or $650 per month for 20 years (240 payments). Assuming a 4% annual return:

Total Cash Received from Annuity: $650 ร— 240 = $156,000 (56% more than the lump sum)

Lump Sum Future Value: $100,000 ร— (1.04)ยฒโฐ = $219,112

Annuity Future Value: 240 payments reinvested at 4% = $238,427

Winner: Annuity โ€” ahead by ~$19,315

Break-even Rate: about 5.1%. If the recipient can consistently earn more than 5.1% per year, the lump sum becomes the better choice.

At modest return rates, spreading payments out can actually beat investing a lump sum โ€” even though the annuity pays out only $156,000 in total cash.

๐Ÿฆ Pension Buyout: $300,000 Now vs $1,500/Month for 25 Years

A retiree is offered a $300,000 pension buyout or $1,500 per month for life (modeled here as 25 years). Assuming a 7% annual return:

Lump Sum Future Value: $300,000 ร— (1.07)ยฒโต = $1,628,230

Annuity Future Value: 300 payments reinvested at 7% = $1,215,571

Total Cash Received from Annuity: $1,500 ร— 300 = $450,000

Winner: Lump sum โ€” ahead by ~$412,659

Break-even Rate: about 3.8%. At the assumed 7% return, taking the buyout and investing it clearly wins.

With a pension, life expectancy matters: if you live much longer than 25 years, the monthly payments keep coming โ€” adjust the years in the calculator to model your own situation.

Understanding the Lump Sum vs Annuity Decision

This calculator compares two ways of receiving the same windfall โ€” a lottery jackpot, insurance payout, structured settlement, or pension buyout. It projects how much each option would be worth at the end of the term if all money is invested at your expected annual return rate.

The Two Formulas

Lump Sum FV = L ร— (1 + r)โฟ
L = Lump sum amount
r = Annual return rate (as a decimal)
n = Number of years
The entire lump sum compounds for the full term.
Annuity FV = P ร— [((1 + i)แต โˆ’ 1) รท i]
P = Payment per period
i = Return rate per period (annual rate รท 12 for monthly)
m = Total number of payments (years ร— periods per year)
This is the future value of an ordinary annuity (payments at the end of each period). For an annuity due (payments at the beginning), multiply by (1 + i).

What Is the Break-even Rate?

The break-even return rate is the annual return rate at which the lump sum and the annuity grow to exactly the same future value. It is found by solving:

L ร— (1 + r)โฟ = P ร— [((1 + i)แต โˆ’ 1) รท i]
Solved numerically with bisection between 0% and 30% (tolerance 0.01%). If you can earn more than the break-even rate, take the lump sum. If you expect to earn less, take the annuity.

How the Calculation Works

1
Set up the periods: Convert the annual rate to a per-period rate (divide by 12 for monthly) and multiply the years by the payments per year to get the total number of payments.
2
Project the lump sum: Grow the lump sum at the annual return rate for the full number of years using compound interest.
3
Project the annuity: Calculate the future value of the payment stream with each payment reinvested at the same rate. Apply the annuity-due factor if payments arrive at the beginning of each period.
4
Compare: The option with the larger future value is the better choice at your assumed return rate.
5
Find the break-even rate: Solve for the return rate that makes both future values equal โ€” the threshold that determines which option wins.
๐ŸŽฏ
Side-by-Side Comparison
See the future value of the lump sum and the annuity side by side at your assumed return rate, with the dollar difference clearly shown.
โš–๏ธ
Break-even Analysis
Find the exact return rate where both options are equal โ€” know how well your investments must perform for the lump sum to win.
๐Ÿ“ˆ
Growth Projection Table
Compare both options at 5, 10, 20, and 30 year horizons to see how the gap between the two choices evolves over time.
๐Ÿ“
Step-by-Step Breakdown
Follow the complete calculation โ€” period setup, compound growth, annuity future value, and break-even rate โ€” shown step by step.

What Is the Lump Sum vs Annuity Decision?

Winners of large prizes, insurance payouts, structured settlements, and pension buyouts face the same choice: take a lump sum today, or receive a stream of annuity payments. Each option has a very different financial profile, and the "right" answer depends on your expected investment return, spending discipline, life expectancy, and tax situation.

This calculator compares both options fairly: the lump sum is invested at your expected annual return, and each annuity payment is also reinvested at the same rate. The option with the higher future value wins.

Why the Comparison Matters

Many assume the lump sum is always better because "a dollar today is worth more than a dollar tomorrow." That is only true if you invest it and earn a decent return. If you would spend it quickly, or cannot beat the break-even rate, the annuity can be the smarter choice.

๐ŸŽฏ Know Your Break-even Rate

The single most useful number in this decision. If you expect to beat it, take the lump sum; if not, take the annuity.

๐Ÿ’ฐ Think About Spending Discipline

A lump sum can be spent quickly; annuity payments impose a natural budget. If you doubt your ability to keep the lump sum invested, the annuity may be worth more in practice.

How the Math Works

Both options are projected to a future value at the end of the term using the same annual return rate, so the comparison is apples to apples.

Lump Sum Future Value = L ร— (1 + r/100)โฟ
The entire lump sum L is invested immediately and compounds at rate r for n years, earning returns on the full amount for the entire term.
Annuity Future Value = P ร— [((1 + r/100 รท k)^(n ร— k) โˆ’ 1) รท (r/100 รท k)]
P is the payment per period, k is the number of payments per year (12 for monthly, 1 for yearly), and n ร— k is the total number of payments. Each payment is reinvested when received. If payments arrive at the beginning of each period, multiply by (1 + r/100 รท k) because every payment earns one extra period of return.

Edge Cases Handled Automatically

At a 0% return rate, the annuity future value is simply the sum of all payments and the lump sum stays flat. If years is 0, both options are worth $0. If the payment is 0, the annuity is worthless and the lump sum is the only choice.

The Break-even Rate

The break-even rate is the annual return where both future values are equal, solved by bisection between 0% and 30% (tolerance 0.01%). If the lump sum wins even at 0%, break-even is 0%; if the annuity still wins at 30%, it is above 30%.

For example, a $500,000 lump sum versus $2,000 per month for 25 years breaks even at only about 1.6% โ€” most long-term investors beat that, making the lump sum the better choice. A $100,000 settlement versus $650 per month for 20 years breaks even at about 5.1%, a much harder target.

Factors to Consider Before You Decide

Beyond the pure math, several real-world factors should shape your decision. The calculator gives you a clear financial answer at your assumed return rate, but the final choice is personal.

๐Ÿงพ Tax Treatment Differs

A lump sum is typically taxed in the year you receive it, which can push you into a higher tax bracket. Annuity payments spread the tax over many years.

๐ŸŽข Risk Tolerance

An annuity provides guaranteed income and removes investment risk. A lump sum gives you control but exposes you to market downturns.

Frequently Asked Questions

Is it better to take a lump sum or annuity?
It depends on the break-even return rate and your personal situation. If you can reliably earn more than the break-even rate by investing the lump sum, it will grow to a larger future value. If you expect to earn less, or worry about spending the money too quickly, the annuity's guaranteed payments are usually the better choice.
What is a break-even rate?
The break-even rate is the annual return rate at which the lump sum and the annuity grow to exactly the same future value. If you can earn more than the break-even rate, the lump sum wins; if you earn less, the annuity wins. For example, if the break-even rate is 4% and you expect a 7% return, take the lump sum.
Do I have to pay taxes on lottery winnings or annuity payments?
Yes โ€” both are generally taxable as ordinary income at the federal level, and most states tax them too. A lump sum is taxed in the year you receive it, which can push you into a higher tax bracket. Annuity payments spread the tax over many years, which can keep you in a lower bracket each year. Consult a tax professional before choosing.
Can I invest annuity payments myself?
Yes. This calculator assumes every annuity payment is reinvested at your expected annual return rate โ€” the same assumption applied to the lump sum, which makes the comparison fair. If you spend your annuity payments instead of investing them, the annuity's future value would just be the sum of the payments, making the lump sum far more attractive.
What happens to annuity payments if I die?
It depends on the contract. A life-only annuity stops paying when you die, which is why it offers the largest payments. A joint-and-survivor annuity continues payments to your spouse, usually at a reduced amount. A period-certain annuity guarantees payments for a fixed number of years even if you die earlier. A lump sum becomes part of your estate and can be left to any heir.
Is a pension buyout the same as an annuity?
A pension buyout is the lump-sum version of your pension: instead of receiving monthly pension payments for life, you receive one payment now. The decision is mathematically identical to the lump sum vs annuity question. Since pension payments typically last for life, model a pension by entering the buyout as the lump sum, the monthly pension as the payment, and your estimated life expectancy as the number of years.

โš ๏ธ Important Disclaimer: This Lump Sum vs Annuity Calculator is for informational and educational purposes only. Results depend heavily on the assumed annual return rate, which is not guaranteed โ€” actual investment returns vary and past performance does not predict future results. This calculator does not include taxes, fees, inflation, insurance company solvency, or contract terms such as survivor benefits and cost-of-living adjustments, all of which can significantly change the real-world comparison. The results are estimates, not professional financial advice. Consult a qualified financial advisor or tax professional before making a major decision such as a pension buyout, lottery claim, or structured settlement choice.