Your mining company is considering an expansion of operations into iron ore. Your engineers surveyed a...

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Finance

Your mining company is considering an expansion of operationsinto iron ore. Your engineers surveyed a particular piece of landthree weeks ago (the survey cost $45,000) andconcluded the following:

  • You can extract 2,500 tons of iron ore peryear.
  • There are 10,000 tons of iron ore underneaththis land. Once all the ore has ?been extracted, the project willcease to produce any revenues.
  • The price of ore will remain constant for the next 4 years.Currently ore sells ?for $120 per ton.
  • The operating cost to extract the ore will be $80 perton for the next 4 years.
  • We can invest in the equipment for this project right now for$100,000.
  • The equipment will be fully depreciated over a period of fouryears using the ?straight-line method.
  • At the end of year 4, we can sell the equipment involved in theproject for ?$25,000
  • The expansion requires additional working capital (NWC) of$15,000 from ?the start (at time t=0) until theend of year 4. At time t=4, working capital ?decreases to $0.
  • The tax rate is assumed to be 35%. Your cost of capital is11%.

Please provide the Free Cash Flow for each yearof this project (times t=0 through t=4) and compute theproject’s NPV.

T = 0 Cash Flow: ___________

T = 1 Cash Flow: ___________

T = 2 Cash Flow: ___________

T = 3 Cash Flow: ___________

T = 4 Cash Flow: ___________

Project NPV: ___________

Answer & Explanation Solved by verified expert
4.0 Ratings (627 Votes)

Computation of NPV
year 0 1 2 3 4
i Initial investment           (100,000)
ii Working capital -15000
A=i+ii Initial investment           (115,000)
operating cash flow
i Revenue=2500*120                300,000            300,000            300,000            300,000
ii cost=2500*80                200,000            200,000            200,000            200,000
iii depreciation=100000/4                  25,000              25,000              25,000              25,000
iv=i-iii Profit before tax                  75,000              75,000              75,000              75,000
v=iv*35% Tax@ 35%                  26,250              26,250              26,250              26,250
vi=iv-v Profit after tax                  48,750              48,750              48,750              48,750
B=vi+iii operating cash flow                  73,750              73,750              73,750              73,750
Terminal cash flow
i Release of working capital =              15,000
ii Post tax salvage value
=25000*(1-35%) 16250
C NWC + salvage value 31250
D=A+B+C Net cash flow           (115,000)                  73,750              73,750              73,750            105,000
D PVIF @ 11%               1.0000                  0.9009              0.8116              0.7312              0.6587
E=C*D present value           (115,000)                  66,441              59,857              53,925              69,167        134,391
Therefore NPV =             134,391
ans a) Year 0 Cash flow           (115,000)
year -1               73,750
year -2               73,750
year -3               73,750
year -4             105,000
Ans b) NPV =             134,391

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Transcribed Image Text

Your mining company is considering an expansion of operationsinto iron ore. Your engineers surveyed a particular piece of landthree weeks ago (the survey cost $45,000) andconcluded the following:You can extract 2,500 tons of iron ore peryear.There are 10,000 tons of iron ore underneaththis land. Once all the ore has ?been extracted, the project willcease to produce any revenues.The price of ore will remain constant for the next 4 years.Currently ore sells ?for $120 per ton.The operating cost to extract the ore will be $80 perton for the next 4 years.We can invest in the equipment for this project right now for$100,000.The equipment will be fully depreciated over a period of fouryears using the ?straight-line method.At the end of year 4, we can sell the equipment involved in theproject for ?$25,000The expansion requires additional working capital (NWC) of$15,000 from ?the start (at time t=0) until theend of year 4. At time t=4, working capital ?decreases to $0.The tax rate is assumed to be 35%. Your cost of capital is11%.Please provide the Free Cash Flow for each yearof this project (times t=0 through t=4) and compute theproject’s NPV.T = 0 Cash Flow: ___________T = 1 Cash Flow: ___________T = 2 Cash Flow: ___________T = 3 Cash Flow: ___________T = 4 Cash Flow: ___________Project NPV: ___________

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