Answer:
Annual equivalent cost of the investment = $30,603.43 per annum
Explanation:
<em>Equivalent Annual cost is the Present Value of the total cost over the investment period divided by the appropriate annuity factor.</em>
<em>Step 1 </em>
<em>PV of cash flows</em>
PV of first cost = 150,000
<em>PV of annual maintenance cost of $17,500</em>
= 17,500× (1-(1+0.08)^(-30))/0.08
= 197,011.21
<em>PV of salvage value</em>
$25,000 × (1+0.08)^(-30)
= 2,484.43
<em>PV of net total cost </em>
= 197,011.21 +150,000 - 2,484.43
= 344,526.78
Step 2
<em>Determine the annuity factor for 30 years at 8%</em>
(1-(1+0.08)^(-30))/0.08
=11.2577
Step 3
<em>Equivalent annual cost</em>
= 344,526.78 / 11.2577
<em> =$30,603.43</em>
Annual equivalent cost of the investment = $30,603.43 per annum
