Question

Air conditioning for a college dormitory will cost $2.1 million to install and $170,000 per year to operate at current prices. The system should last 19 years. The real cost of capital is 9%, and the college pays no taxes. What is the equivalent annual cost

Answer 1

Answer:

$404,634

Explanation:

the formula that we can use to calculate equivalent annual costs is:

EAC = asset price x {discount rate / [1 - (1 + discount rate)⁻ⁿ]} + annual maintenance costs

EAC = $2,100,000 x {0.09 / [1 - (1.09)⁻¹⁹]} + $170,000

EAC = $2,100,000 x {0.09 / [1 - (1.09)⁻¹⁹]} + $170,000 = $234,634 + $170,000 = $404,634

EAC is basically the cost of using an asset during its lifetime. We are determining the cost per year, assuming that they are all equal.