Question

In: Accounting

X Company is trying to decide whether to continue using old equipment to make Product A...

X Company is trying to decide whether to continue using old equipment to make Product A or replace it with new equipment that will have lower operating costs. The following information is available:

  • The new equipment will cost $45,000. Disposal value at the end of its 6-year useful life will be $7,000.
  • The old equipment was purchased 3 years ago for $21,000. It can be sold immediately for $5,000 but will have zero disposal value in 6 years.
  • Maintenance work, costing $2,500, will be necessary on the old equipment in Year 4.
  • The new equipment will result in $10,000 of operating cost savings each year.

Assuming a discount rate of 5%, what is the net present value of replacing the old equipment with the new equipment? [

A: $15,964 B: $18,040 C: $20,385 D: $23,035 E: $26,029 F: $29,413

Solutions

Expert Solution

Correct Option B
Calculation of Present Value if equipment replaced
Year Cash Flow Present value factor @5% Presnt Value
0 -40000 1.0000               (40,000)
1 10000 0.952                   9,524
2 10000 0.907                   9,070
3 10000 0.864                   8,638
4 12500 0.823                 10,284
5 10000 0.784                   7,835
6 17000 0.746                 12,686
Net present value                18,040
net present value of replacing the old equipment with the new equipment is $18040
Caluclation of Cash Flow
Year Cost of Buying new equipment Salvage value of old equipment Operating Cost saving due to new equipment Maintenance Cost saving due to new equipment SALVAGE VALUE OF NEW EQUIPMENT Total
0 -45000 5000 -40000
1 10000 10000
2 10000 10000
3 10000 10000
4 10000 2500 12500
5 10000 10000
6 10000 7000 17000

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