A Furnace Efficiency Calculator is a financial tool that helps homeowners understand the long-term operating costs of their furnace and the potential savings they could achieve by upgrading to a more efficient model. The calculator uses the furnace's efficiency rating—known as the Annual Fuel Utilization Efficiency (AFUE)—along with local fuel prices and an estimate of the home's annual heating needs to project the yearly cost to heat the home. By comparing the annual cost of an older, less efficient furnace to that of a new, high-efficiency model, it quantifies the potential energy savings in real dollar terms. This makes it an invaluable tool for homeowners making the important financial decision of whether and when to invest in a new furnace.
formula
The calculation of furnace operating costs and potential savings is based on the furnace's AFUE rating and your home's heating demand.
1. Core Concept: AFUE (Annual Fuel Utilization Efficiency)
For gas and oil furnaces, efficiency is measured by AFUE. This percentage tells you how much of the fuel you purchase is converted into usable heat for your home.
- An 80% AFUE furnace converts 80 cents of every dollar of fuel into heat, while 20 cents is lost through the exhaust.
- A 95% AFUE furnace converts 95 cents of every dollar into heat, losing only 5 cents.
2. Primary Formula: Annual Fuel Cost
This is the core calculation that determines how much it costs to run a specific furnace for a year.
Formula:
Annual Fuel Cost = ( (Annual Heat Load in BTUs) / (BTUs per Fuel Unit * AFUE) ) * Cost per Fuel Unit
Breakdown of Formula Components:
- Annual Heat Load (BTUs): The total amount of heat your home requires for one year, measured in British Thermal Units (BTUs).
- BTUs per Fuel Unit: The amount of heat energy contained in one unit of your fuel.
- Natural Gas (1 Therm): ~100,000 BTUs
- Propane (1 Gallon): ~91,500 BTUs
- Heating Oil (1 Gallon): ~139,000 BTUs
- AFUE: The Annual Fuel Utilization Efficiency rating of the furnace, expressed as a decimal (e.g., 95% is 0.95).
- Cost per Fuel Unit: The price you pay for one unit of fuel (e.g., price per therm of natural gas).
3. Annual Savings Calculation
This formula compares the operating costs of two furnaces to show the potential annual savings.
Formula:
Annual Savings = Annual Cost of Less Efficient Furnace - Annual Cost of More Efficient Furnace
Furnace Efficiency Standards and Ratings
This table provides a general guide to different levels of furnace efficiency based on their AFUE rating.
AFUE Rating | Efficiency Level | Common Characteristics |
56% - 70% | Low-Efficiency (Obsolete) | Older models, often with a continuous pilot light. |
80% | Standard-Efficiency | The current federal minimum standard for new furnaces. |
90% - 94% | High-Efficiency | Often single-stage or two-stage heating. |
95% - 98%+ | Very High-Efficiency | Typically feature variable-speed blowers and modulating gas valves. |
Example
A homeowner has an old, low efficiency furnace and wants to calculate the potential annual savings of upgrading to a new, high efficiency model.
First, the homeowner gathers the necessary data. The annual heat load for the home is estimated to be 60,000,000 BTUs. The fuel is natural gas, which costs $1.20 per therm. The old furnace has a 70% AFUE rating, or 0.70. The new furnace being considered has a 95% AFUE rating, or 0.95.
Step 1: Calculate the Annual Cost of the OLD Furnace.
Annual Cost equals ( (60,000,000 BTUs) divided by (100,000 BTUs per therm times 0.70) ) times $1.20 per therm.
This simplifies to ( 60,000,000 divided by 70,000 ) times $1.20.
The result is 857.14 therms times $1.20, which equals $1,028.57.
Step 2: Calculate the Annual Cost of the NEW Furnace.
Annual Cost equals ( (60,000,000 BTUs) divided by (100,000 BTUs per therm times 0.95) ) times $1.20 per therm.
This simplifies to ( 60,000,000 divided by 95,000 ) times $1.20.
The result is 631.58 therms times $1.20, which equals $757.90.
Step 3: Calculate the Annual Savings.
Annual Savings equals the Old Furnace Cost minus the New Furnace Cost.
Annual Savings equals $1,028.57 minus $757.90, which is $270.67.
By upgrading, the homeowner can expect to save approximately $271 per year on their heating bills.ve approximately $271 per year on their heating bills.
Most Common FAQs
The "input BTU" rating tells you how much energy the furnace consumes. The "output BTU" rating tells you how much usable heat the furnace actually delivers to your home. The difference between these two numbers is the heat that is lost through the exhaust. The AFUE is essentially the ratio of the output BTU to the input BTU (Output / Input).
The most accurate way to determine your home's heat load is to have a professional HVAC contractor perform a "Manual J" calculation. This is an industry-standard energy audit that takes into account your home's size, insulation levels, window quality, air leakage, and local climate data to precisely calculate your heating and cooling needs.
Upgrading is a long-term investment. While a high-efficiency furnace has a higher initial purchase price, it saves you money every month on your energy bills. Whether it's "worth it" depends on how long you plan to live in the home and your local fuel costs. You can calculate the "payback period" by dividing the extra cost of the high-efficiency unit by the annual savings. If the payback period is shorter than the furnace's expected lifespan and your time in the home, it is generally a very good financial decision.