In: Economics
Two methods of maintenance for indefinite service life are being evaluated:
Method 1. The first cost would be $60,000, and $25,000 would be required at five-year intervals forever.
Method 2. The first cost would be $150,000, and $180,000 would be required at 50-year intervals of forever.
At I i = 12%, which method is the better one?
Here we have to calculate the capitalized cost of the maintenance costs:
Method 1:
Capitalized costs = P + [F(A/F, i, n)] / i
= 60,000 + [25,000(A/F, 12%, 5)] / 0.12
= 60,000 + [25,000(0.1574)] / 0.12
= 60,000 + 32,791.67
= $92,791.67
Method 2:
Capitalized costs = P + [F(A/F, i, n)] / i
= 150,000 + [180,000(A/F, 12%, 50)] / 0.12
= 150,000 + [180,000(0.00042)] / 0.12
= 150,000 + 630
= $150,630
Since the capitalized cost of method 1 is less than method 2, therefore, method 2 is better one.