Money & investing

Equivalent annual cost calculator

Convert a stated purchase, constant annual maintenance and final salvage into an equivalent yearly cost.

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Keep the stated five-year life and maintenance pattern fixed while changing salvage or the discount assumption.

Worked example comparison
ExampleOutputWhat to notice
Zero discount with ₹20,000 salvageEquivalent end-year annual cost₹26,000.00The default net ₹1,30,000 cost becomes ₹26,000 per year.
Zero salvageEquivalent end-year annual cost₹30,000.00At zero discount, purchase plus maintenance totals ₹1,50,000, or ₹30,000 per year.
10% effective discountEquivalent end-year annual cost₹33,103.80Present-value timing changes both the net cost and the factor used to annualize it.

Check your understanding

Can I divide present cost by years at a positive rate?

No. A level end-year annuity must use its present-value factor.

Does this alone compare two different useful lives fairly?

A common service or replacement assumption is also needed; it is not invented here.

Behind the numbers

How this calculation works

Place the purchase at time zero, maintenance at every year end and salvage at the final year end. Discount that net cost stream, then divide by the present-value factor of a level end-year annuity.

THE FORMULAEAC = [purchase + PV(maintenance) − PV(salvage)] / annuity PV factor

A worked example

At zero discount, a ₹1,00,000 purchase, ₹10,000 annual maintenance for five years and ₹20,000 salvage give equivalent annual cost (100000+50000−20000)/5 = ₹26,000.

Good to know

No tax, depreciation deduction, financing, escalation or replacement-chain assumption is supplied. Comparing assets with unequal lives needs an additional common-service assumption. Negative net costs are retained if entered salvage exceeds the other present costs.

Put purchase, maintenance and salvage on one clock

The straight line depreciation calculator allocates an entered depreciable cost across accounting years. That book expense is a different quantity from discounted equivalent annual economic cost.

The purchase occurs now. Maintenance occurs at each year end, including the last. Salvage is received only at the final year end. Discount these separate amounts before combining them into present net cost.

At zero discount, the default five-year example costs 100,000 + 5×10,000 − 20,000 = ₹1,30,000. Spreading that time-equivalent amount over five year-end payments gives ₹26,000 per year.

The present value calculator can check the final salvage discount, while this page also annualizes the complete purchase and maintenance stream.

An annual equivalent preserves present value

At a positive discount rate, simply dividing present cost by years is incorrect. Divide by the annuity present-value factor instead. A stream of that equivalent annual amount has the same present value as the original purchase and maintenance pattern.

The present value calculator discounts one future amount. The annual cash flow NPV calculator can inspect a more varied signed sequence; this page provides a convenient purchase-maintenance-salvage structure and converts its net cost to an annual equivalent.

Useful-life comparisons require a service assumption

Two assets with different lives cannot be compared fairly merely by placing their annual equivalents next to each other. A defensible common service period or repeat-replacement assumption must also be considered. This page does not invent that assumption.

Tax deductions, financing, price escalation and replacement timing can all change the cash flows. A large entered salvage can produce negative net cost; that result is retained so the assumption is visible rather than clipped away.

A few questions, answered

Why subtract salvage?

It is an inflow at the end of the asset life, offsetting part of the cost stream.

Is maintenance paid at the start of each year?

No. This model places every maintenance payment at year end.

Does a negative annual cost indicate an error?

Not necessarily. Entered salvage may outweigh the other discounted costs; review whether that assumption is credible.

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