Correction to the previous calculator
October 25, 2026: removed fixed assumed savings of 35–60% and an automatic 35% AC cost offset. Those assumptions could show payback even when a heat pump costs more to run. The revised calculation compares equal delivered heat and uses an entered replacement quote.
Reproduce the calculation
- Delivered heat in kWh = heating fuel cost ÷ price per fuel unit × kWh per fuel unit × existing efficiency.
- Electricity needed = delivered heat × [(1 − backup share) ÷ seasonal COP + backup share]. Resistance backup has COP 1.
- Annual saving = existing heating fuel cost − new electricity cost − extra maintenance.
- Simple payback = max(0, installed quote − confirmed incentives − replacement cost avoided now) ÷ annual saving. If savings are zero or negative, there is no savings-based payback.
A case where the answer changes
Illustrative inputs: $1,200 of gas at $1.50/therm, a 90%-efficient furnace, COP 3, no backup and no maintenance difference. The existing system delivers about 21,102 kWh of heat. A heat pump needs about 7,034 kWh of electricity. At 10¢/kWh that costs about $703 and saves $497; at 25¢ it costs about $1,758 and increases costs by $558. The equipment is identical; the local tariff changes the result.
Sources and boundaries
EIA energy conversions supply 3,412 Btu/kWh, 100,000 Btu/therm, 138,500 Btu per gallon of heating oil and 91,452 Btu per gallon of propane. The annual heat-load, tariff and COP approach is described in the DOE-hosted CEE heat-pump design training. These sources do not supply the default prices, quote or performance; defaults are editable scenarios.
Use only the space-heating portion of fuel bills. A gas account may still be needed for cooking or hot water, so its fixed charge may remain. This is a simple, constant-price heating comparison, excluding cooling, financing and equipment replacement timing. Check incentives with the administering program before including them.
Continue with how backup heat affects a setback decision and the contractor scope worksheet when comparing installation quotes.