Question
The mayor of Trenton is considering the purchase of a new computer system for the city's tax department. The system costs $94,000 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 $94,000 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 9% | PV of an ordinary annuity at 9% | |||||||||
1 | $ | 39,000 | 0.917 | 0.917 | ||||||||
2 | 44,000 | 0.842 | 1.759 | |||||||||
3 | 49,000 | 0.772 | 2.531 | |||||||||
4 | 34,000 | 0.708 | 3.240 | |||||||||
5 | 31,000 | 0.650 | 3.890 | |||||||||
Trenton uses a 9% discount rate for capital-budgeting decisions. A salesperson from a different computer company claims that his machine, which costs $104,000 and has an estimated service life of four years, will generate annual savings for the city of $38,000. If the discount rate is 9%, the net present value of this system would be:
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