Question: Building a new refinery The construction and installation of a new refinery will cost $22 million. In...

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Building a new refinery

The construction and installation of a new refinery will cost$22 million. In addition, a processing plant will also need to beconstructed at a cost $6 million. This plant will need to besupplied with grinding machines, DMS flotation machines and otherequipment at a total cost of $16 million. Kidman Resources' currentfleet of Haul trucks, water carts and dump trucks will meet theneeds for this project, however until recently, the fleet has beenearning a rental income of $120,000 per year.

Under the agreement with Tesla inc., the lithium mined isexpected to generate a revenue of $15 million per year, which willincrease by 2.8% per annum adjusted for rising costs. Due to theadditional complexities involved with the construction andmanagement of this new refinery, 5 new engineers (yearly salary perengineer $160,000) will replace 5 existing engineers (yearly salaryper engineer $120,000). All other remaining labour force requiredis expected to cost $3 million per annum for the duration of theproject.

For tax reasons you will expense the cost of the processingplant immediately. The cost for the construction and installationof the new refinery and associated machines and equipment will bedepreciated over three years using the straight-line method. Due tothe nature of the mining project, the machines and equipment willlikely have a salvage value of $10 million at the end of threeyears. Finally, the required net working capital is $2 million.

Calculate Net Present Value given rate of return = 10%and tax rate= 30%

Answer & Explanation Solved by verified expert
3.9 Ratings (454 Votes)

Formula Year (n) 0 1 2 3
New refinery cost & equipment cost Initial investment (II)         (38,000,000)
Increasing at 2.8% p.a. Revenue ('R)            15,000,000            15,420,000            15,851,760
Opportunity cost of rental income lost (O)               (120,000)               (120,000)               (120,000)
Annual salary increase from 120,000 to 160,000 for 5 engineers Salary cost increase (S)               (200,000)               (200,000)               (200,000)
Labor force cost (L)             (3,000,000)             (3,000,000)             (3,000,000)
(II/3) Depreciation (D)         (12,666,667)         (12,666,667)         (12,666,667)
Processing plant cost (P)             (6,000,000)
(R-O-S-L-D-P) EBIT             (6,000,000)               (986,667)               (566,667)               (134,907)
(30%*EBIT) Tax @30%               1,800,000                  296,000                  170,000                     40,472
(EBIT - Tax) Net income (NI)             (4,200,000)               (690,667)               (396,667)                   (94,435)
Add: depreciation (D)                               -              12,666,667            12,666,667            12,666,667
(NI+ D) Operating Cash Flow (OCF)             (4,200,000)            11,976,000            12,270,000            12,572,232
NWC will be recovered in Year 2 Increase in NWC             (2,000,000)               2,000,000
salvage value*(1-Tax rate) Salvage value (after-tax) SV)               7,000,000
(II + OCF + NWC + SV) Free Cash Flow (FCF)         (44,200,000)            11,976,000            12,270,000            21,572,232
1/(1+d)^n Discount factor @10%                        1.000                        0.909                        0.826                        0.751
(FCF*Discount factor) PV of FCF (44,200,000.00)      10,887,272.73      10,140,495.87      16,207,537.19
Sum of all PVs NPV       (6,964,694.21)

This project has a negative NPV of - 6,964,694.21


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Transcribed Image Text

Question:Building a new refineryThe construction and installation of a new refinery will cost$22 million. In addition, a processing plant will also need to beconstructed at a cost $6 million. This plant will need to besupplied with grinding machines, DMS flotation machines and otherequipment at a total cost of $16 million. Kidman Resources' currentfleet of Haul trucks, water carts and dump trucks will meet theneeds for this project, however until recently, the fleet has beenearning a rental income of $120,000 per year.Under the agreement with Tesla inc., the lithium mined isexpected to generate a revenue of $15 million per year, which willincrease by 2.8% per annum adjusted for rising costs. Due to theadditional complexities involved with the construction andmanagement of this new refinery, 5 new engineers (yearly salary perengineer $160,000) will replace 5 existing engineers (yearly salaryper engineer $120,000). All other remaining labour force requiredis expected to cost $3 million per annum for the duration of theproject.For tax reasons you will expense the cost of the processingplant immediately. The cost for the construction and installationof the new refinery and associated machines and equipment will bedepreciated over three years using the straight-line method. Due tothe nature of the mining project, the machines and equipment willlikely have a salvage value of $10 million at the end of threeyears. Finally, the required net working capital is $2 million.Calculate Net Present Value given rate of return = 10%and tax rate= 30%

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