Two large-scale conduits are under consideration by a large municipal utility district (MUD). The first involves construction of a steel pipeline at a cost of $225 million. Portions of the pipeline will have to be replaced every 40 years at a cost of $50 million. The pumping and other operating costs are expected to be $10 million per year. Alternatively, a gravity flow canal can be constructed at a cost of $350 million. The M&O costs for the canal are expected to be $0.5 million per year. If both conduits are expected to last forever, which should be built at an interest rate of 10% per year? can someone answer this question using CAPITAL COST METHOD? PLEASE SHOW STEPS
In the capital cost method, we calculate the net present value of all the costs involved in both alternatives and they select the alternative that has the lowest net present value of costs
OPTION 1: Construction of a steel pipeline
Initial Cost = 225 Million
Present value of maintenance costs = FV /r = 10,000,000/0.10 = 100,000,000 = 100 Million
The effective interest rate for replacement every 40 years = 1.10^40 -1 = 44.25925557
The present value of replacement costs = 50,000,000/44.25925577 = 1.13 Million
Total costs = 225 +100 + 1.13 = 326.13 Million
OPTION 2: Construction of a Gravity Flow canal
Initial cost = 350 Million
Present value of maintenance = 0.5/0.10 = 5 Million
Total cost in today’s' value =350 +5 = 355 Million
Since the total capital cost in today’s value is lower for option 1, we should construct a steel pipeline
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