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In: Accounting

A new operating system for an existing machine is expected to cost $710,000 and have a...

  1. A new operating system for an existing machine is expected to cost $710,000 and have a useful life of six years. The system yields an incremental after-tax income of $155,000 each year after deducting its straight-line depreciation. The predicted salvage value of the system is $21,800.
  2. A machine costs $570,000, has a $33,800 salvage value, is expected to last eight years, and will generate an after-tax income of $84,000 per year after straight-line depreciation.

Assume the company requires a 12% rate of return on its investments. Compute the net present value of each potential investment. (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided.)

A new operating system for an existing machine is expected to cost $710,000 and have a useful life of six years. The system yields an incremental after-tax income of $155,000 each year after deducting its straight-line depreciation. The predicted salvage value of the system is $21,800. (Round your answers to the nearest whole dollar.)

A machine costs $570,000, has a $33,800 salvage value, is expected to last eight years, and will generate an after-tax income of $84,000 per year after straight-line depreciation. (Round your answers to the nearest whole dollar.)

Cash Flow Select Chart Amount x PV Factor = Present Value
Annual cash flow =
Residual value =
Net present value
Cash Flow Select Chart Amount x PV Factor = Present Value
Annual cash flow =
Residual value =
Net present value

Solutions

Expert Solution

PV Factor @ 12%
1 Computation of NPV of New Operating System 0.892857143
0.797193878
Depreciation per year 114700 0.711780248
Annual cash flow =155000+114700 269700 0.635518078
0.567426856
Amount PV Factor Present Value 0.506631121 4.111407
Annual Cash Flow 269700 4.111407    1,108,846.56 0.452349215
Residual Value 21800 0.506631          11,044.56 0.403883228
   1,119,891.11 4.96764
Cost        710,000.00
NPV        409,891.11
2 Computation of NPV of Machine
Depreciation per year 67025
Annual cash flow =84000+67025 151025
Amount PV Factor Present Value
Annual Cash Flow 151025 4.96764        750,237.80
Residual Value 33800 0.403883          13,651.25
       763,889.05
Cost        570,000.00
NPV        193,889.05

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