Pension Lump Sum vs Annuity Calculator
Use this calculator to compare a pension buyout with a monthly pension. It estimates the actuarial present value of the pension, including COLA and joint-and-survivor payments when they apply.
Actuarial present value of pension$418,351.71
- Pension advantage or shortfall
- $18,351.71
- Implied pension return
- 4.47%
- Break-even primary age
- 90.33 years
- Chance of reaching break-even age
- 22.75%
- Expected survivor-benefit value
- $53,570.52
- Expected nominal lifetime payments
- $654,050.04
- Value comparison
- Pension is higher by 4.6% on modeled present value.
Cumulative value by elapsed years
| Years from now | Cumulative present value | Expected nominal payments | Survival chance |
|---|---|---|---|
| 5 years | $132,972.62 | $146,559.69 | 90.94% |
| 10 years | $235,931.52 | $284,568.78 | 79.41% |
| 15 years | $312,900.04 | $409,989.90 | 64.22% |
| 20 years | $366,377.29 | $515,834.48 | 44.93% |
| 25 years | $398,600.83 | $593,179.99 | 24.1% |
| 30 years | $413,367.33 | $636,044.28 | 8.01% |
| 35 years | $417,636.08 | $650,987.17 | 1.26% |
| 40 years | $418,301.42 | $653,793.51 | 0.09% |
| 45 years | $418,350.47 | $654,042.48 | 0% |
| 50 years | $418,351.71 | $654,050.04 | 0% |
| 55 years | $418,351.71 | $654,050.04 | 0% |
| 56 years | $418,351.71 | $654,050.04 | 0% |
Uses the 2023 SSA period life table published with the 2026 Trustees Report.
Assumes monthly payments are made at the end of each month and spouse lifetimes are independent.
How to use this calculator
- Enter the lump-sum offer and the gross monthly pension amount.
- Enter the current age, life-table sex, payment delay, COLA, and discount rate.
- Choose the survivor percentage and spouse details if the pension is joint-and-survivor.
- Compare the pension present value, implied return, break-even age, and survivor-benefit value.
How the pension value is calculated
The calculator values the pension as a stream of expected monthly payments, not as a simple payment multiplied by a fixed life expectancy. It uses the Social Security Administration period life table survivor counts for the selected sex. For someone currently age a, the conditional chance of being alive t months from now is p_a(t) = l_(a + t / 12) / l_a, with log-linear interpolation between whole ages.
Let L be the lump sum, B the starting monthly pension, D the months until the first payment, c the annual COLA, r the annual discount rate, and s the survivor percentage. The monthly discount rate is i = (1 + r)^(1 / 12) - 1.
For month t, the scheduled pension is zero when t <= D. After payments begin, B_t = B x (1 + c)^floor((t - D - 1) / 12). For a single-life pension, the expected payment is B_t x p_P(t). For a joint-and-survivor pension, the expected payment factor is p_P(t) + s x (1 - p_P(t)) x p_S(t), where p_P is the primary survival probability and p_S is the spouse survival probability.
The pension present value is sum E_t / (1 + i)^t. The survivor-benefit value is the present value of the part paid only when the primary pensioner has died and the spouse remains alive. Expected nominal lifetime payments use the same survival-weighted payments without discounting.
How to read the comparison
The pension advantage is the actuarial present value minus the lump-sum offer. The implied pension return is the annual discount rate that would make the modeled pension value equal the lump sum. A high implied return means the pension payments are rich relative to the buyout under these mortality assumptions; a low or negative implied return means the lump sum is large relative to the expected payments.
The break-even age is survival-adjusted and discounted. It is the earliest age at which the cumulative expected present value of scheduled benefits reaches the lump sum. The chance of reaching that age is the SSA conditional survival probability for the primary pensioner, not a personal forecast.
What moves the result most
The monthly benefit, discount rate, COLA, and survivor percentage usually move the answer most. A lower discount rate gives more weight to guaranteed future checks. A contractual COLA can materially increase long-life value. A joint-and-survivor election often has a smaller starting payment in the real plan, but when the monthly benefit entered already reflects that election, this calculator values the chance that payments continue after the primary pensioner dies.
What this leaves out
The model does not reproduce a plan administrator's statutory lump-sum calculation under IRC Section 417(e). It also leaves out taxes, rollover rules, plan solvency, PBGC limits, investment fees, market volatility, personal health, family longevity, guarantee periods, pop-up benefits, Social Security offsets, refund features, liquidity needs, and inheritance goals. Treat the result as one structured estimate, not a full retirement election analysis.
Worked example
Suppose a 65-year-old male compares a $400,000 lump-sum offer with a $2,500 monthly pension beginning immediately. The pension has no COLA, the discount rate is 4%, and the annuity includes a 50% survivor benefit for a 63-year-old female spouse.
Using the 2023 SSA period life table, the calculator estimates the pension's actuarial present value at about $418,352. That is about $18,352 more than the lump sum, so the pension is higher by roughly 4.6% on modeled present value. The implied pension return is about 4.47%.
The cumulative discounted expected payments reach the lump sum around age 90.33, with an SSA conditional survival probability of about 22.75% for the primary pensioner. The survivor portion contributes about $53,571 of present value, and expected nominal lifetime payments are about $654,050.
Common questions
How is a pension present value calculated?
A pension present value discounts each expected future payment back to today. This calculator weights each monthly payment by SSA life-table survival probabilities, adds any modeled survivor payments, applies the entered COLA, and discounts the expected payment stream at the selected annual rate.
What discount rate should I use?
A lower discount rate is often used when the pension is viewed as a relatively secure income stream. A higher discount rate may be used when comparing the pension with a risky investment portfolio, but it will make future checks look less valuable. The right rate is a judgment call, so testing several rates is usually more useful than relying on one answer.
How does a pension COLA change the result?
A COLA raises future payments, so it matters most when survival probabilities remain meaningful many years from now. Even a modest annual COLA can materially increase the present value for a long-lived retiree or surviving spouse.
How is a joint-and-survivor pension valued?
The calculator assumes independent lifetimes. In each month it counts the full pension while the primary pensioner is alive, plus the selected survivor percentage when the primary pensioner has died and the spouse remains alive.
What does the implied pension return mean?
The implied pension return is the discount rate that makes the modeled pension present value equal the lump-sum offer. It is not a promised investment return. It is a way to compare the buyout with the pension under the survival, COLA, and survivor assumptions you entered.
Should taxes affect the decision?
Yes, but this calculator does not model taxes. A direct rollover, a taxable cash distribution, monthly pension withholding, state taxes, and required minimum distributions can lead to different after-tax results, so both choices should be compared on a consistent tax basis.