Pension Lump Sum vs. Annuity

Value a pension offer on the life table: what each payout option is worth against the lump sum, the return the lump sum would have to earn to match it, and the odds you live long enough for the monthly check to win.

The offer

$
$
%

You

Joint-and-survivor option

$

What the lump sum could earn

%

Use a return you could count on, since the pension is a promise and a stock portfolio isn't. A long Treasury or high-grade bond yield is the usual yardstick.

Worth most at 4.5%

Lump sum

$35,250 more than the best pension option

Return the lump sum must earn to match

3.6%

4.02% against the joint option

Checks add up to the lump sum at

75

71% chance you are alive then

The invested lump sum runs dry at

81

51% chance you outlive it, paying yourself the pension

Each option against the lump sum

OptionA monthWorth todayVersus the lump sumImplied returnBreaks even atOdds of reaching it
Single life$2,900$414,750−$35,2503.6%7571%
Joint and 50% survivor$2,600$428,442−$21,5594.02%76 and 6 mo94%

Worth today is every future check, weighted by the chance someone is alive to cash it and discounted at 4.5%. Life expectancy from the table: 80.9 for you, 84.3 for your spouse.

Checks received against the lump sum paying the same income

Odds of being alive to collect

How it works

Value. Each year's checks are multiplied by the chance you are alive midway through that year, from the SSA 2021 period life table scaled for health, and discounted at the return you entered. A joint option adds the survivor's share times the chance you have died and your spouse hasn't, treating the two lives as independent.

Implied return. The yearly return at which the pension is worth exactly the lump sum: what you would have to earn, every year for life and without the pension's guarantee, to come out even. Plans price lump sums off corporate bond yields under IRC 417(e), so offers shrink when rates rise and the implied return rises with them.

Break-even and running dry. Break-even is the age at which checks received add up to the lump sum, with nothing for interest. Running dry invests the lump sum at your return, pays out the pension's income each month, and finds the age the money is gone. The odds beside each come from the same life table.

What it leaves out. Taxes, which fall on both the same way if the lump sum is rolled to an IRA. The plan's and the PBGC's credit risk, the value of leaving an unspent lump sum to heirs, and period-certain or pop-up options. Ages under 50 use the age-50 death rate.