Calculate the net present value of the machine


Problem:

Sunshine Allday Company is investigating the viability of installing a new machine to expand their operations. The machine under consideration will require an initial outlay of $215,000. If purchased, the new machine will generate before-tax net cash inflows of $55,000 per annum. The term of the project is eight years. At the end of the eight years, the machine is expected to have a salvage value of $40,000. The company has a required rate of return of 15 percent. Assume the company is fully integrated with the imputation tax system so investments will be evaluated on a pre-tax basis.

You are required to:

1. Calculate the net present value of the machine.

2. Calculate the profitability index of the machine.

3. Calculate the internal rate of return of the machine.

4. Calculate the payback period of the machine.

Year Year    Year    Year    Year    Year

0    1    2    3    4    5
Purchase Price    ($215,000)
Inflow    $55,000 $55,000 $55,000 $55,000 $55,000
Sale Price    $40,000
Net Cash Flow    ($215,000)    $55,000 $55,000 $55,000 $55,000 $95,000
1.15    1.3225    1.520875    1.74900625    2.011357188
PV Cash Flow    ($215,000)    $47,826 $41,588 $36,163 $31,446 $47,232

Required Rate Of Return    15.00%
NPV                                 -10,744
IRR                                    13%
PI                                 0.950026046.

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Finance Basics: Calculate the net present value of the machine
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