Capitalized Cost

Assets may have different original and/or maintenance costs, different useful lifetimes, different salvage values or produce revenue at different rates. All these differences make it very hard to choose between alternatives.

Typical situations are:

You could ask yourself the following question:

How much money would I need now, to be able to purchase the asset, pay for annual maintenance, and replace it at the end of its useful lifetime by another one, forever?

An asset's capitalized cost is the original cost of the asset, plus the present value of an infinite number of replacements, plus the present value of maintenance costs in perpetuity.

The Capitalized Cost calculation enables you to choose rationally between alternatives. All you need to do is compare their capitalized costs: they represent the present value of all costs involved with purchasing, maintaining and replacing the assets.

Input

• nominal annual rate (compounding frequency is assumed to be annually)
• cost
• useful life in years
• salvage value
• annual maintenance cost
• units produced per year

Results

• capitalized cost
• capitalized cost per unit

Examples

Bart has to decide whether to install aluminium or wooden windows.

Aluminium windows cost $5.000, have no maintenance cost and last 50 years.
Wooden windows cost $2,500, last 25 years and have an annual maintenance cost of $150.

What should he do when his savings earn interest at 6 % annually?

Step 1: Calculate the capitalized cost for aluminium windows.

Input Nominal annual rate: 6 %
  Cost: 5,000
  Useful lifetime: 50
  Salvage value: 0
  Annual maintenance cost: 0
  Units produced per year: 0
     
Result Capitalized cost: 5,287.02

Step 2: Calculate the capitalized cost for wooden windows.

Input Nominal annual rate: 6 %
  Cost: 2,500
  Useful lifetime: 25
  Salvage value: 0
  Annual maintenance cost: 150
  Units produced per year: 0
     
Result Capitalized cost: 5,759.45

Answer: Bart should install aluminium windows.

   

Machine A costs $30,000, lasts 15 years, and will have a salvage value of $4,500. Its annual maintenance cost is $3.500.

Machine B costs $40,000, will last 20 years, and will have a salvage value of $2,000 after 20 years. The annual maintenance cost for this machine is $3.000.

Both machines produce 10,000 units per year.

If money is worth 10 % annually, which machine should be purchased?

Step 1: Calculate the capitalized cost for machine A.

Input Nominal annual rate: 10 %
  Cost: 30,000
  Useful lifetime: 15
  Salvage value: 4,500
  Annual maintenance cost: 3,500
  Units produced per year: 10.000
     
Result Capitalized cost: 73,025.81
  Capitalized cost per unit: 7.30

Step 2: Calculate the capitalized cost for machine B.

Input Nominal annual rate: 10 %
  Cost: 40,000
  Useful lifetime: 20
  Salvage value: 2,000
  Annual maintenance cost: 3,000
  Units produced per year: 10,000
     
Result Capitalized cost: 76,634.66
  Capitalized cost per unit: 7.66

Answer: Machine A should be preferred because it has a lower capitalized cost.

   

What if, in the above example, machine B produces 11.000 units per year?

Input Nominal annual rate: 10 %
  Cost: 40,000
  Useful lifetime: 20
  Salvage value: 2,000
  Annual maintenance cost: 3,000
  Units produced per year: 11,000
     
Result Capitalized cost: 76,634.66
  Capitalized cost per unit: 6.97

Answer: Machine B should be preferred because it has a lower capitalized cost per unit.

 

Related topics

Equipment lease
Compounding and payment frequencies