Firm is contemplating replacing a computer (D) it purchased three years ago for
ID: 1101436 • Letter: F
Question
Firm is contemplating replacing a computer (D) it purchased three years ago for 6,000. In two years it will have a salvage value of $800. Operating a maintenance costs have been $1,000 per year. The computer currently has a trade in value of $3,000 toward a new computer (C) that costs $5,000 and has a five (5) year live. The computer will have annual operating and maintenance costs of $500 per year and a expected salvage value of $1,000 at the end of the five (5) years. Company's policy demand that any computer should be replaced after five (5) years in service. Determine is the current computer should be replaced. Use a 9% rate of return.
1. EACc= $1,618.36 and EACd= $2,322.63, Should be replaced
2. EACc= $1,637.62 and EACd= $1,618.36, should be replaced
3. EACc= $1,618.36 and EACd= $2,322.63, should not be replaced
4. EACc= $2,322.63 and EACd= $1,618.36, should not be replaced
Explanation / Answer
1. EACc= $1,618.36 and EACd= $2,322.63, Should be replaced
EACc = Present value of Annuity equivalent to the initial cost of machine + Annual Maintenance
Initial Cost of C = $5,000
Salvage Value of C = $1,000
Life = 5 years
Annuity equivalent to the initial cost of machine = PMT(0.09,5,-5000,1000)
Annuity equivalent to the initial cost of machine = $1,118.37
Annual maintenance = $500
EACc = $1118.37 + $500 = $1,618.37
EACd = Present value of Annuity equivalent to the initial cost of machine + Annual Maintenance
Initial Cost of D = $3,000 (As it is the market value of the machine)
Salvage Value of D = $1,000
Life = 2 years
Annuity equivalent to the initial cost of machine = PMT(0.09,2,-3000,800)
Annuity equivalent to the initial cost of machine = $1,322.63
Annual maintenance = $1000
EACd = $1322.63 + $1000 = $1,322.63
As EACc is lower than EACd it should be replaced
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