Pension vs Lump Sum: Which Pays More Over Time? 2026

How the comparison works

On the defaults — a $2,500.00 monthly pension, a $450,000.00 lump-sum offer, a 25-year horizon, a 5% return, and a 2% COLA — the present value of the pension is $526,602.21, the lump-sum offer is $450,000.00, the winner is the pension by $76,602.21, the total pension paid over 25 years is $972,052.81, and the lump sum invested at 5% for 25 years grows to $1,523,859.72. The whole comparison is three moves: discount the growing monthly pension back to today, add up what the pension pays in total, and grow the lump sum forward — then compare the two present values.

Five things about the model are worth stating plainly. First, the pension is a growing monthly annuity with month-end payments — each payment is discounted by the monthly rate (the annual return divided by 12) and grown by the monthly COLA (the COLA divided by 12). Second, the return does double duty: it discounts the pension and it grows the lump sum, so a higher return helps the lump sum twice over. Third, the COLA only helps the pension — with no COLA the pension’s present value falls to $427,650.12 and the lump sum wins. Fourth, the horizon is everything: at 20 years the pension barely wins, by $230.07, and at 19 years it loses — one more year flips the winner. And fifth, this comparison ignores taxes, survivor benefits, PBGC insurance, and the risk that the pension plan fails — all of those are listed in Accuracy & limitations, because any one of them can flip a close call.

The worked example, line by line

Setup: monthly pension $2,500.00, lump-sum offer $450,000.00, horizon 25 years (age 65 to 90), annual return 5%, COLA 2%.

Line 1 — work out the monthly rates. The monthly discount rate is 5% ÷ 12 = 0.4167% a month, and the monthly COLA growth is 2% ÷ 12 = 0.1667% a month, over 25 × 12 = 300 monthly payments.

Line 2 — discount the growing pension to today. The present value is $2,500.00 × (1 − ((1 + 0.001667) ÷ (1 + 0.004167))³⁰⁰) ÷ (0.004167 − 0.001667) = $526,602.21.

Line 3 — add up what the pension pays in total. The nominal total is $2,500.00 × (((1 + 0.001667)³⁰⁰ − 1) ÷ 0.001667) = $972,052.81 — the COLA lifts the later payments, so the total is far more than $2,500.00 × 300 = $750,000.00.

Line 4 — grow the lump sum forward. The future value is $450,000.00 × (1.05)²⁵ = $1,523,859.72.

Line 5 — compare the present values. The pension’s present value of $526,602.21 beats the lump-sum offer of $450,000.00 by $76,602.21, so the pension wins. Rounding convention: every gap on this page is the difference of the displayed values: each side is rounded to cents first, then subtracted.

Every branch, checked

Lump sum $550,000: Pension $2,500.00/mo, lump sum $550,000.00, 25 years, return 5.00%, COLA 2.00%: pension PV $526,602.21, Lump sum wins by $23,397.79, total paid $972,052.81, lump-sum FV $1,862,495.22 — a $100,000.00 bigger offer flips the winner: the pension’s present value is unchanged at $526,602.21, and the lump sum wins by $23,397.79.

Monthly pension $3,000: Pension $3,000.00/mo, lump sum $450,000.00, 25 years, return 5.00%, COLA 2.00%: pension PV $631,922.65, Pension wins by $181,922.65, total paid $1,166,463.38, lump-sum FV $1,523,859.72 — $500.00 more a month lifts the present value by $105,320.44, to $631,922.65, and the pension wins by $181,922.65.

COLA 0%: Pension $2,500.00/mo, lump sum $450,000.00, 25 years, return 5.00%, COLA 0.00%: pension PV $427,650.12, Lump sum wins by $22,349.88, total paid $750,000.00, lump-sum FV $1,523,859.72 — with no COLA the pension’s present value falls to $427,650.12 and the lump sum wins by $22,349.88; the total paid is $750,000.00, exactly $2,500.00 × 300 months.

Return 7%: Pension $2,500.00/mo, lump sum $450,000.00, 25 years, return 7.00%, COLA 2.00%: pension PV $427,292.77, Lump sum wins by $22,707.23, total paid $972,052.81, lump-sum FV $2,442,344.69 — two points more return discounts the pension harder, to $427,292.77, and the lump sum wins by $22,707.23 — while the lump sum’s future value jumps to $2,442,344.69.

Horizon 20 years: Pension $2,500.00/mo, lump sum $450,000.00, 20 years, return 5.00%, COLA 2.00%: pension PV $450,230.07, Pension wins by $230.07, total paid $736,992.09, lump-sum FV $1,193,983.97 — the near-tie: the pension’s present value is $450,230.07, winning by just $230.07. One more year flips it — at 19 years the present value is $433,536.50 and the lump sum wins.

Horizon 30 years: Pension $2,500.00/mo, lump sum $450,000.00, 30 years, return 5.00%, COLA 2.00%: pension PV $592,364.99, Pension wins by $142,364.99, total paid $1,231,813.47, lump-sum FV $1,944,874.07 — five more years lift the present value to $592,364.99, and the pension wins by $142,364.99 on $1,231,813.47 of total payments.

Monthly pension $2,000: Pension $2,000.00/mo, lump sum $450,000.00, 25 years, return 5.00%, COLA 2.00%: pension PV $421,281.77, Lump sum wins by $28,718.23, total paid $777,642.25, lump-sum FV $1,523,859.72 — $500.00 less a month drops the present value to $421,281.77, and the lump sum wins by $28,718.23.

The reverses, worked backwards

Monthly pension for a pension PV of exactly $450,000: $2,136.34 — the exact monthly pension is $2136.3374. At the displayed $2,136.34 the PV is $450,000.55, which does NOT land exactly on $450,000.00 — that is correct under the continuous convention, because the displayed value is rounded to cents. $1 less, $2,135.34, gives $449,789.90 — a $1.00 smaller pension moves the PV by about $210.65, so the “$1 less” figure is not $449,999.55. The star is DOLLARS.

Lump sum for a tie with the default pension: $526,602.21 — the exact lump sum is $526602.2093. At $526,602.21 the pension PV is $526,602.21, a tie. The star is DOLLARS.

Break-even horizon: 20 years — the smallest horizon that gets there. At 20 years the PV is $450,230.07; 19 years gives $433,536.50, short of $450,000.00. This is a step reverse: years come in whole numbers, so there is no exact 19-point-something. The star is YEARS.

Return for a tie: 6.49% — the exact return is 6.4863%. At the displayed 6.49% the PV is $449,829.58, which does NOT land exactly on $450,000.00 — that is correct under the continuous convention. 6.48% gives $450,288.91; 6.50% gives $449,370.95. The displayed rate is a 2dp percent. The star is a PERCENT.

COLA for a tie: 0.51% — the exact COLA is 0.5071%. At the displayed 0.51% the PV is $450,131.90, which does NOT land exactly on $450,000.00 — that is correct under the continuous convention. 0.50% gives $449,674.54; 0.52% gives $450,589.94. The displayed rate is a 2dp percent. The star is a PERCENT.

Horizon for total pension paid of $1,000,000: 26 years — the smallest horizon that gets there. At 26 years the total paid is $1,021,949.61; 25 years gives $972,052.81, short of $1,000,000.00. This is a step reverse: years come in whole numbers. The star is YEARS.

What the defaults assume

The defaults are a monthly pension of $2,500.00, a lump-sum offer of $450,000.00, a 25-year horizon, a 5.00% return, and a 2.00% COLA — pension PV $526,602.21, winner Pension wins by $76,602.21, total paid $972,052.81, lump-sum FV $1,523,859.72. With a $0 monthly pension, Pension $0.00/mo, lump sum $450,000.00, 25 years, return 5.00%, COLA 2.00%: pension PV $0.00, Lump sum wins by $450,000.00, total paid $0.00, lump-sum FV $1,523,859.72 — the lump sum wins by the full $450,000.00. With a $0 lump sum, Pension $2,500.00/mo, lump sum $0.00, 25 years, return 5.00%, COLA 2.00%: pension PV $526,602.21, Pension wins by $526,602.21, total paid $972,052.81, lump-sum FV $0.00. With a 0% return and 0% COLA, Pension $2,500.00/mo, lump sum $450,000.00, 25 years, return 0.00%, COLA 0.00%: pension PV $750,000.00, Pension wins by $300,000.00, total paid $750,000.00, lump-sum FV $450,000.00 — $2,500.00 × 300 months, no discounting, no growth. With a 1-year horizon, Pension $2,500.00/mo, lump sum $450,000.00, 1 years, return 5.00%, COLA 2.00%: pension PV $29,469.81, Lump sum wins by $420,530.19, total paid $30,276.53, lump-sum FV $472,500.00. With a 40-year horizon, Pension $2,500.00/mo, lump sum $450,000.00, 40 years, return 5.00%, COLA 2.00%: pension PV $697,753.03, Pension wins by $247,753.03, total paid $1,836,089.06, lump-sum FV $3,167,994.92. With a 0% return and the 2% COLA kept, Pension $2,500.00/mo, lump sum $450,000.00, 25 years, return 0.00%, COLA 2.00%: pension PV $972,052.81, Pension wins by $522,052.81, total paid $972,052.81, lump-sum FV $450,000.00 — with no discounting the present value is the sum of the payments, so it equals the nominal total paid. Rounding convention: every gap on this page is the difference of the displayed values: each side is rounded to cents first, then subtracted.

Output · formula · meaning

Who uses this

• The 65-year-old with a $2,500 pension and a $450,000 offer: they learn the pension is worth $526,602.21 today, winning by $76,602.21 — and they check the 20-year branch to see how close the call is, at just $230.07.
• The retiree offered $550,000 instead: they learn the bigger offer flips the winner — the lump sum wins by $23,397.79 — and they check the $2,136.34 reverse to see what pension would tie the original $450,000 offer.
• The worker whose pension has no COLA: they learn the pension’s present value falls to $427,650.12 and the lump sum wins by $22,349.88 — and they check the 0.51% COLA reverse to see how little inflation protection it takes to tie.
• The planner who expects to live to 95: they learn a 30-year horizon lifts the pension’s present value to $592,364.99, winning by $142,364.99 — and they check the 40-year edge to see what four decades of payments are worth.

Accuracy & limitations

The math is first-principles: the pension is a growing monthly annuity with month-end payments, monthly discount rate = annual return ÷ 12, monthly COLA growth = COLA ÷ 12, N years = 12N months; present value = P × (1 − ((1+g_m)/(1+i_m))ⁿ) ÷ (i_m − g_m); total pension paid (nominal, no discounting) = P × (((1+g_m)ⁿ − 1) ÷ g_m), or P × n when COLA is 0%; lump-sum future value = L × (1+r)^N; the winner is the higher present value, and every gap is the difference of the displayed values. Every figure is rounded to cents half-up, and the totals are computed from unrounded values, so rounded parts may differ by a cent from their rounded sum. What the model cannot do is make the decision for you: it ignores taxes — the lump sum is usually taxable, and the pension is taxed as ordinary income, so the after-tax winner can differ; it ignores survivor benefits, which can be worth a great deal to a spouse; it ignores PBGC insurance, which backstops many private pensions up to a cap; it ignores the risk that the pension plan fails or the employer goes under; it assumes you live exactly the horizon you enter, and it assumes a constant return on the lump sum, while real returns vary year to year and can be negative. Use it to price the two offers on the same dollars, then talk to a fiduciary about the taxes, the survivor benefit, and the plan’s funding before you sign.

Frequently asked questions