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A new operating system for an existing machine is expected to cost $565,000 and have a useful life of six years. The system yields an incremental after-tax income of $165,000 each year after deducting its straight-line depreciation. The predicted salvage value of the system is $25,000. A machine costs $410,000, has a $26,000 salvage value, is expected to last eight years, and will generate an after-tax income of $75,000 per year after straight-line depreciation. Assume the company requires a 10% 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.)

Sagot :

anthougo

Answer:

The net present value of each potential investment:

                         Machine A        Machine B

NPV                   $167,675             $2,267

Explanation:

a) Data and Calculations:

                                                         Machine A        Machine B

Cost of machine                              $565,000         $410,000

Incremental after-tax income            165,000             75,000

Salvage value                                      25,000             26,000

Estimated useful life                           6 years             8 years

Required rate of return                      10%                   10%

Annuity factor                                     4.355                5.335

PV factor                                             0.564                0.467

PV of incremental after-tax income $718,575         $400,125

                                                ($165,000*4.355)   ($75,000*5.335)

PV of salvage value                            $14,100             $12,142

Total PV of income                         $732,675          $412,267

NPV                                                  $167,675             $2,267

= Total PV of income minus PV of initial investment cost

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