Question

In: Economics

A city plans to upgrade its storm water management infrastructure by installing new pipes. The installation...

A city plans to upgrade its storm water management infrastructure by installing new pipes. The installation costs 2.1 million dollars and the annual maintenance cost is $28,000. Every 10 years, the system needs to be fully examined which requires a fixed management and material cost of $ 20,000 and a variable labor cost at the rate of $25/hr. 8 full time (working 8 hours per day) workers will be employed for 40 days for this task. If the infrastructure has a life time of 120 years and the city's interest rate is 8%

What is the capitalized worth of the project (in millions)? Please note that the value could be negative.

Solutions

Expert Solution

Answer: Calculation of capitalised worth:
Present value
Particulars Amount Calculation Amount
Installation costs    2,100,000.00 -      2,100,000.00
Annual maintenance cost          28,000.00 28,000 / 0.08         350,000.00
Fixed management cost every 10 years          20,000.00 20,000 * A/F(8%,10)
20,000 * 0.06903              1,380.60
Variable labour cost every 10 years            8,000.00 8,000 * A/F(8%,10)
8,000 * 0.06903                  552.24
Capitalised worth equals (2,451,932.84)
Please rate my answer well. Thanks in advance.

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