In: Accounting
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.)
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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 | |||||||||||||