Question

In: Accounting

Windhoek Mines, Ltd., of Namibia, is contemplating the purchase of equipment to exploit a mineral deposit...

Windhoek Mines, Ltd., of Namibia, is contemplating the purchase of equipment to exploit a mineral deposit on land to which the company has mineral rights. An engineering and cost analysis has been made, and it is expected that the following cash flows would be associated with opening and operating a mine in the area:

Cost of new equipment and timbers $ 370,000
Working capital required $ 115,000
Annual net cash receipts $ 130,000 *
Cost to construct new roads in year three $ 43,000
Salvage value of equipment in four years $ 68,000

*Receipts from sales of ore, less out-of-pocket costs for salaries, utilities, insurance, and so forth.

The mineral deposit would be exhausted after four years of mining. At that point, the working capital would be released for reinvestment elsewhere. The company’s required rate of return is 18%.

Click here to view Exhibit 12B-1 and Exhibit 12B-2, to determine the appropriate discount factor(s) using tables.

Required:

a. What is the net present value of the proposed mining project?

Solutions

Expert Solution

Year 0 Year 1 Year2 Year 3 Year 4
Costof equipment -$370,000
Working capital required -$115,000
Annual net cash receipts $130,000 $130,000 $130,000 $130,000
Less Cost to construct new roads -$43,000
Less Depreciation -$75,500 -$75,500 -$75,500 -$75,500
Add Working capital released $115,000
Add Salvage value $68,000
Net cash inflow/( Outflow) -$485,000 $54,500 $54,500 $11,500 $237,500
Present value factor @ 18% 1 0.84745 0.71818 0.60863 0.51578
Present value Cash inflow /Outflow -$485,000 $46,186 $39,141 $6,999 $122,498
NPV -$2,70,176

NPV=Present value of  cash inflow-Present value of initial cash outflow

Total cash outflow= Working capital required+Initial cost of equipment

= 370,000+115,000= 485,000

Annual cash inflow= Annual net receipts-Depreciation

Depreciation=( Cost of equipment- salvage value )/ Useful life

= (370,000-68,000)/4= $ 75,500

Annual cash inflow= 130,000-75,500= $ 54,500

Cost incurred to contruct road is cash outflow, and in 4 th year working capital released is cashi inflo and salvage value is also considered for calculating cash inflow.

Hope it helps !!

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