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James is trying to figure out the optimal number of years to replace his machinery. The machinery will be replaced continously for the foreseeable future.

James is trying to figure out the optimal number of years to replace his machinery. The machinery will be replaced continously for the foreseeable future. The machinery costs

$35,000. The maintenance costs for each respective year are shown in the table below together with the salvage value of the machinery if it were to be sold in that year. James has decided to keep the machinery for at least 4 years but is uncertain whether a 4 or 5 year replacement period is most appropriate. The discount rate is 10% per annum and assume zero taxes.

Year

0

1

2

3

4

5

Initial cost

-35,000

Maintenance costs

-2,100

-3,200

-4,300

-5,400

-6,500

Salvage value (if sold)

32,000

28,000

23,000

17,000

10,000

Question: Using perpetuity method, determine the best replacement period for James (consider only 4 or 5 years).

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