Question

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.)

Answer 1

The net present value of each potential investment:

Machine A Machine B

NPV $167,675 $2,267

Step-by-step 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