Windhoek Mines Ltd$.$ of Namibia is contemplating the purchase of equipment to exploit a mineral deposit located 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 R $200,500$

Working capital required $75,000$

Net annual cash receipts $90,000*$

Cost to construct new roads in three years $30,000$

Salvage value of equipment in four years $48,750$

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

$($The currency in Namibia is the rand, here denoted by R$.)$

It is estimated that 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 discount rate is $20\%.$

Click here to view Exhibit $10-1$ and Exhibit $10-2,$ to determine the appropriate discount factor$($s$)$ using tables.

Required:

$1-$a$.$ Determine the NPV of the proposed mining project. $($Negative amount should be indicated with a minus sign. Round discount factor$($s$)$ to $3$ decimal places. Round other intermediate calculations and final answer to the nearest whole number.$)$