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Payback maths, taught · formula opened up · placeholder variables onlyPayback = conversion cost ÷ monthly savingLead-acid usable 50–60% · LiFePO4 DoD 88–90%Published reference band 6 – 8 monthsNo currency figure on this page

Lead-acid to lithium conversion calculator:the formula behind the payback in months

The answer first: payback comes down to one equation — monthly saving = daily distance × operating days × (lead-acid cost per km − lithium cost per km), and payback in months = conversion cost ÷ monthly saving. Every term is a local variable of your fleet, so no currency figure appears on this page. What follows is the formula, a worked example and the three levers; put your own market numbers into the conversion payback calculator and the answer becomes decidable.

route
Variable one: daily distanceD km / day
calendar_month
Variable two: operating daysN days / month
functions
Payback in monthscost ÷ monthly saving
timelapse
Published reference6 – 8 months

verifiedThis is a teaching page and carries no cost or price range. The reference band is the site’s published TCO figure (6 – 8 months); the formal quotation and your local energy prices govern.

Fleet manager working out monthly saving and payback in months on a tablet
scienceThe equation in four lines

Four quantities decide payback

functionsD × N × ΔCMonthly savingDaily distance × operating days × (lead-acid cost per km − lithium cost per km)
timelapseI ÷ monthly savingPayback in monthsI = total conversion spend: pack + charger + instrument + labour
calendar_month26 days / monthOperating-days basisThe calculator works monthly, on 26 operating days
battery_full50–60% → 88–90%Usable-capacity basisLead-acid usable capacity against recommended LiFePO4 DoD — the main source of the per-km gap

Specification notice:The figures above are engineering reference values. They may differ with production batch, configuration and actual duty cycle, and the percentages for life, efficiency, availability and coverage are engineering estimates and bench references. Contact us for the detailed specification sheet.

functionsFormula and worked example

The formula, a worked example and the three levers

Read these four steps in order: write the formula, substitute variables, see which lever carries weight, then see which conditions stretch payback.

  1. 01functions

    Step one: write the formula (placeholder variables only)

    Monthly saving = D × N × (Cₚ − Cₗ), and payback in months = I ÷ monthly saving. Here D = daily distance in km, N = operating days per month, I = total conversion spend, Cₚ = incumbent cost per km and Cₗ = lithium cost per km. Work the per-km figures out from your own vehicle: a petrol vehicle uses fuel price ÷ 100 × litres per 100km; a lead-acid vehicle uses replacement amortisation ÷ distance covered + charging cost per km; the lithium side uses consumption (Wh/km) ÷ 1000 × power price ÷ charging efficiency. There is no currency in the formula, only variables. The calculator simply substitutes all four.

    Payback = I ÷ (D × N × ΔC)
  2. 02calculate

    Step two: substitute a worked example

    Take D = 110 km, N = 26 days, ΔC = Cₚ − Cₗ and I = conversion spend. Then payback = I ÷ (110 × 26 × ΔC). Three ratios you can watch directly: raising daily distance 27% (110 → 140 km) shortens payback by roughly 21% (the site’s own model: about 6.8 months → about 5.4 months); widening the energy gap ΔC by about a third shortens it by roughly 30% (about 6.8 → about 4.8 months); and lifting I by a tenth lengthens payback by a tenth. All of these are ratios, not amounts.

    Ratios, currency-free
  3. 03tune

    Step three: the three levers carry very different weight

    Lever one: daily distance D. Savings scale with distance, so the further the vehicle runs the faster it pays back — the real reason commercial vehicles suit conversion better than a private commuter. Lever two: local power price against local fuel or lead-acid price (which sets ΔC). Dearer fuel or lead-acid replacement and cheaper power widen ΔC and shorten payback; but power price touches only one small term, and on the site’s own model moving from very cheap to relatively expensive power shifts payback by about one month. It is not the deciding input. Lever three: the conversion spend I. It sits in the numerator, so a restrained specification pays back faster; oversizing beyond the duty cycle slows payback on its own.

    Weight: D > energy gap > I
  4. 04trending_down

    Step four: what stretches payback

    Low daily distance: below 60–80 km a day, or a month with fewer operating days, thins the saving and stretches payback clearly. Dear power: especially when expressed as a swap-service fee, the charging term rises, ΔC narrows and payback stretches (about one month of impact, but the direction is certain). Lead-acid still serviceable: the item most often missed — replacing a bank that still has life left writes off its residual value, so recalculate on “net spend = I − residual value of the lead-acid bank”. In the same period your real cost per km still runs on the lead-acid basis, with only 50–60% of nominal capacity usable and 300–500 cycles.

    Stretchers: low distance > dear power > early replacement
grid_onReference bands

Payback bands by daily distance (months only, no amounts)

The table reuses the calculator’s own model and assumptions (26 operating days a month, 32 Wh/km taken at the grid, 85% charging efficiency) and runs only two axes — daily distance and the size of the energy gap — so that no currency figure has to appear.

Same model as the calculator
Daily distanceSmall energy gap (cheap fuel / dear power)Medium gap (site default duty)Large gap (dear fuel / cheap power)Typical duty
80 km13 – 16 months8 – 11 months6 – 8 monthsShort-haul delivery and single-point shuttles
110 km10 – 12 months6 – 8 months4 – 6 monthsEveryday two- and three-wheeler delivery and passenger duty
140 km7 – 9 months5 – 7 months3 – 5 monthsDouble shifts and inter-district trunk work

The published figure this site quotes is conversion investment recovered in 6 – 8 months, and it corresponds to the middle column: 110 km a day with a medium energy gap. Longer daily distances or wider energy gaps come back faster; non-commercial vehicles under 60–80 km a day come back noticeably slower. The bands fix an order of magnitude, not a price — enter your own energy prices, daily distance and consumption in the conversion payback calculator with the conversion spend taken from a real quotation, and the number becomes decidable.

Specification notice:The figures above are engineering reference values. They may differ with production batch, configuration and actual duty cycle, and the percentages for life, efficiency, availability and coverage are engineering estimates and bench references. Contact us for the detailed specification sheet.

helpPayback FAQ

Questions about the payback maths

What exactly is the payback formula?expand_more
Two steps. Monthly saving = daily distance × operating days × (lead-acid cost per km − lithium cost per km), then payback in months = conversion spend ÷ monthly saving. Work the per-km terms from your own vehicle: petrol uses fuel price ÷ 100 × litres per 100km, lead-acid uses replacement amortisation plus charging cost, and the lithium side uses consumption ÷ 1000 × power price ÷ charging efficiency.
Why publish the formula but no amounts?expand_more
Because every term is a local variable. Fuel price, power price, daily distance, operating days and conversion spend differ so widely between markets that any “universal amount” would mislead the decision. We do not quote in an article either: send destination port, payload, daily distance and motor rating and we model the matching FOB / CIF quotation, which you then feed back into the formula.
Does the power price matter much?expand_more
Not much, but the direction is certain. Power price touches one small term: 32 Wh/km taken at the grid at 85% charging efficiency. On the site’s own model, moving from very cheap to relatively expensive power shifts payback by about one month — it is not the deciding input. If you convert a swap-service fee instead, the per-kWh gap is usually wider than mains power, so payback runs a little longer than self-charging.
How do I model a battery-only swap rather than a full conversion?expand_more
The same formula works. Put only the pack, charger and instrument into the conversion-spend field, and express the incumbent basis in lead-acid terms (replacement amortisation plus charging cost). Lead-acid gives only 50–60% of nominal capacity usable against 88–90% recommended DoD for LiFePO4, so the same nominal capacity returns about 47%–80% more usable range — add the charging trips and replacements you avoid. The compatibility boundary is in the lead-acid to lithium upgrade guide.
My lead-acid bank still works — is now the wrong time?expand_more
Recalculate on net spend: net = conversion spend − residual value of the lead-acid bank still unused. If the bank has plenty of life left and daily distance is low, payback stretches clearly and waiting for end of life pays better. Remember that in the meantime your real cost per km stays on the lead-acid basis — 50–60% of nominal capacity usable, and only 300–500 cycles.
How long is payback in practice?expand_more
The published figure is 6 – 8 months at 110 km a day with a medium energy gap. Longer distances or wider gaps come back faster — the same model reaches 3 – 5 months at 140 km a day — while non-commercial vehicles under 60–80 km a day stretch well beyond. Run your own parameters rather than borrowing someone else’s result.
request_quoteTurn the formula into a quotation

Replace the I in the formula with a firm quotation

The formula tells you how fast payback comes; the quotation tells you how large I is. Send destination port, payload, daily distance and motor rating and we will model FOB / CIF pricing for the pack and conversion parts, container allocation and the shipping document list.

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scheduleReply within 24 hours with pricingcalculateYour payback model re-run against real quotation figuresverified_user5-year / 3,500-cycle warranty

Specification notice:The figures above are engineering reference values. They may differ with production batch, configuration and actual duty cycle, and the percentages for life, efficiency, availability and coverage are engineering estimates and bench references. Contact us for the detailed specification sheet.

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The vehicle and operating data you submit are used only for this selection and quotation and remain strictly confidential.