Question

In: Finance

Pine Village council proposes to construct new recreation fields. Construction will cost $350,000 and annual O&M...

Pine Village council proposes to construct new recreation fields. Construction will cost $350,000 and annual O&M expenses are $80,000. The city council estimates that the value of added youth leagues is about $125,000 annually. In year 6 another $90,000 will be needed to refurnish the fields. the city council agrees to transform the ownership of the fields to a private company for $150,00 at the end of year 10.

a. Draw the cash flow diagram.

b. If the MARR for the Pine Village city is 5%, calculate the NPV of the new recreation field project.

Solutions

Expert Solution

(a): Net cash flows in year 1- 5 = -80,000 + 125,000 = 45,000

Net cash flow in year 6 = -80,000+125,000-90,000 = -45,000

Cash flows in year 7 - 9 = 45,000 (just like years 1-5)

Cash flow in 10th year = -80,000+125,000+150,000 = 195,000

The cash flow diagram is shown below:

In the above cash flow diagram the first column is for the year 0 cash flow and the last column is for the year 10 cash flow.

(b): NPV = $22,405.67

Year Cash flow 1+r PVIF PV
0 -         350,000 1.05      1.0000 - 350,000.00
1              45,000      0.9524      42,857.14
2              45,000      0.9070      40,816.33
3              45,000      0.8638      38,872.69
4              45,000      0.8227      37,021.61
5              45,000      0.7835      35,258.68
6 -            45,000      0.7462 -   33,579.69
7              45,000      0.7107      31,980.66
8              45,000      0.6768      30,457.77
9              45,000      0.6446      29,007.40
10            195,000      0.6139    119,713.08
Total     22,405.67

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