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Hilly Mines, Inc., owns the mining rights to a large tract of land in a mountain

ID: 2476795 • Letter: H

Question

Hilly Mines, Inc., owns the mining rights to a large tract of land in a mountainous area. The tract contains a mineral deposit that the company believes might be commercially attractive to mine and sell. 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:

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

The mineral deposit would be exhausted after eight years of mining. At that point, the working capital would be released for reinvestment elsewhere. The company’s required rate of return is 19%. (Ignore income taxes.)

Determine the net present value of the proposed mining project. (Negative amount should be indicated by a minus sign. Round discount factor(s) to 3 decimal places, other intermediate calculations and final answer to the nearest whole dollar.)

Net Present Value: $

b. Should the project be accepted?

Hilly Mines, Inc., owns the mining rights to a large tract of land in a mountainous area. The tract contains a mineral deposit that the company believes might be commercially attractive to mine and sell. 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 equipment required $ 900,000       Annual net cash receipts $ 355,000*      Working capital required $ 250,000       Cost of road repairs in six years $ 71,000       Salvage value of equipment in eight years $ 120,000

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

The mineral deposit would be exhausted after eight years of mining. At that point, the working capital would be released for reinvestment elsewhere. The company’s required rate of return is 19%. (Ignore income taxes.)

Required: a.

Determine the net present value of the proposed mining project. (Negative amount should be indicated by a minus sign. Round discount factor(s) to 3 decimal places, other intermediate calculations and final answer to the nearest whole dollar.)

Net Present Value: $

b. Should the project be accepted?

Explanation / Answer

a.

Calculation of net present value of the proposed mining project:

Year

Cash Flows (CF)

PVF (19%)

PV = CF*PVF

Cost of equipment required

0

$     (900,000.00)

         1.000

$   (900,000.00)

  Working capital Investment

0

$     (250,000.00)

         1.000

$   (250,000.00)

  Working capital Release

8

$       250,000.00

         0.249

$        62,250.00

  Annual net cash receipts

1 to 8

$       355,000.00

         3.954

$ 1,403,670.00

  Cost of road repairs in six years

6

$       (71,000.00)

         0.352

$      (24,992.00)

  Salvage value of equipment in eight years

8

$       120,000.00

         0.249

$        29,880.00

Net Present Value =

$      320,808.00

b.

Yes, Project should be accepted, because the NPV of the project is positive.

a.

Calculation of net present value of the proposed mining project:

Year

Cash Flows (CF)

PVF (19%)

PV = CF*PVF

Cost of equipment required

0

$     (900,000.00)

         1.000

$   (900,000.00)

  Working capital Investment

0

$     (250,000.00)

         1.000

$   (250,000.00)

  Working capital Release

8

$       250,000.00

         0.249

$        62,250.00

  Annual net cash receipts

1 to 8

$       355,000.00

         3.954

$ 1,403,670.00

  Cost of road repairs in six years

6

$       (71,000.00)

         0.352

$      (24,992.00)

  Salvage value of equipment in eight years

8

$       120,000.00

         0.249

$        29,880.00

Net Present Value =

$      320,808.00

b.

Yes, Project should be accepted, because the NPV of the project is positive.

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