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Heat pump vs gas furnace operating cost
Compare the cost of a million Btu of delivered heat using AFUE, HSPF2, and EIA residential price averages — or the rates on your own bill.
The formulas
A furnace and a heat pump buy different energy, so the labels cannot be compared as raw numbers. Convert both to the cost of delivered heat:
therms per Mcf = (Btu per cubic foot) / 100 gas $ per therm = ($ per Mcf) / (therms per Mcf) furnace $ per MMBtu delivered = (gas $ per therm × 10) / AFUE heat-pump kWh per MMBtu = 1,000,000 / (HSPF2 × 1,000) = 1,000 / HSPF2 heat-pump $ per MMBtu delivered = (1,000 / HSPF2) × ($ per kWh) Implied seasonal COP ≈ HSPF2 / 3.412 (because 1 kWh = 3,412 Btu in the usual EIA conversion)
HSPF2 is defined by ENERGY STAR / 10 CFR 430 Appendix M1 as seasonal heating Btu in Region IV divided by watt-hours. It is not a Minnesota or Maine rating. Electric-resistance backup (COP 1) can raise the real bill in cold weather.