Question
The mayor of Trenton is considering the purchase of a new computer system for the city's tax department. The system costs $80,000 and has an
The mayor of Trenton is considering the purchase of a new computer system for the city's tax department. The system costs $80,000 and has an expected life of five years. The mayor estimates the following savings will result if the system is purchased:
Year or Period | Savings | PV of $1 at 8% | PV of an ordinary annuity at 8% | |||||||||
1 | $ | 25,000 | 0.926 | 0.926 | ||||||||
2 | 30,000 | 0.857 | 1.783 | |||||||||
3 | 35,000 | 0.794 | 2.577 | |||||||||
4 | 20,000 | 0.735 | 3.312 | |||||||||
5 | 17,000 | 0.681 | 3.993 | |||||||||
Trenton uses a 8% discount rate for capital-budgeting decisions. A salesperson from a different computer company claims that his machine, which costs $90,000 and has an estimated service life of four years, will generate annual savings for the city of $33,000. If the discount rate is 8%, the net present value of this system would be:
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