Equivalent Annual Cost Calculator
Compare assets with different lifespans on a yearly basis.
Result
How it is calculated
The tool spreads a purchase price over the asset's life as a level yearly cost. First it finds the annuity factor, AF = (1 − (1 + r)−n) ÷ r, where r is the discount rate as a decimal (8% becomes 0.08) and n is the life in years. Then EAC = initial cost ÷ AF. Initial cost is the purchase price in dollars. If the rate is 0 the factor is simply the number of years, so EAC is cost ÷ years. Years must be above zero (a fractional life such as 7.5 is accepted), the cost cannot be negative or empty, and a rate of −100% or below shows no result. The tool uses only the purchase price: running costs, repairs and resale value are not inputs, so add any known yearly costs on top of the result yourself or fold their present value into the initial cost.
Worked example
A machine costs $24,000 and lasts 7 years, with an 8% discount rate. Annuity factor: (1 − 1.08−7) ÷ 0.08 = 5.21 (rounded to two decimals). Equivalent annual cost: 24,000 ÷ 5.2064 = $4,609.74 per year. Without discounting, the plain 24,000 ÷ 7 would give $3,428.57, so the discount rate adds about $1,181 a year, reflecting the return the money could have earned elsewhere.
Common mistakes
- Typing 0.08 for the discount rate. The rate field is in percent, so 8% is entered as 8; 0.08 would act as nearly zero and understate the yearly cost.
- Comparing two machines using only their purchase prices and EACs while ignoring different running costs. This tool covers the purchase price only, so add yearly operating costs before choosing.
- Using a very optimistic life. A longer life lowers the EAC, so check how the figure changes at a more cautious number of years.
- Expecting resale or scrap value to be subtracted. It is not an input; deduct its present value from the initial cost first if the asset will be sold.
Sources
- On the equivalent annual cost method — Han, Qi and Xie, College of Business publications, Michigan Technological University Digital Commons, 2014
- 8.2 Annuities - Principles of Finance — OpenStax, Rice University
About this calculator
The Equivalent Annual Cost (EAC) converts the total cost of owning an asset over its whole useful life into a single, level yearly figure, using a discount rate to account for the time value of money. It's calculated by taking the asset's net present value of costs and dividing by an annuity factor for its lifespan — the same logic in reverse of computing a loan payment from a present value.
EAC exists specifically to solve a problem that a simple total-cost comparison gets wrong: comparing a machine that lasts 5 years against one that lasts 12 years isn't fair on total cost alone, since the cheaper-looking option might just have a shorter life. By annualizing both, EAC lets finance teams, procurement managers, and asset planners compare assets with different lifespans on equal footing and choose the option that's actually cheaper per year of use.
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