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17.2. A city has learned that by buying larger garbage trucks, it could reduce labor costs for garbage removal. Cost of the trucks today is
17.2. A city has learned that by buying larger garbage trucks, it could reduce labor costs for garbage removal. |
Cost of the trucks today is $400,000. |
Annual savings in this years constant dollars is $90,000. |
Trucks will last for 4 years and then will be sold for $100,000. |
The city can borrow money at a 7% discount rate to purchase the trucks. |
Inflation (for the next 4 years) is expected to average 3%. |
Note: All the dollar amounts are in this years dollars (constant dollars). |
Assuming the costs and benefits are incurred at the end of the year, should the city buy the truck? |
Answer: | |||||||
Calculation: | |||||||
Real Dollars | Nominal Doll. | Present value | |||||
Description | Time | Costs/Benefits | Costs/Benefit | ||||
Purchase | 0 | -400,000 | -400,000 | -400,000 | |||
Benefits | 1 | 90,000 | 92,700 | ||||
Benefits | 2 | 90,000 | 95,481 | ||||
Benefits | 3 | 90,000 | |||||
Benefits | 4 | 90,000 | |||||
Residual | 4 | 100,000 | |||||
Total Net PV | |||||||
Select one (with "x"): | |||||||
The city should not buy the trucks because the net present value of the decision is positive. | |||||||
The city should buy the trucks because the net present value of the decision is positive. |
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