Question

Brett Collins is reviewing his company’s investment in a cement plant. The company paid $14,400,000 five...

Brett Collins is reviewing his company’s investment in a cement plant. The company paid $14,400,000 five years ago to acquire the plant. Now top management is considering an opportunity to sell it. The president wants to know whether the plant has met original expectations before he decides its fate. The company’s discount rate for present value computations is 8 percent. Expected and actual cash flows follow: (PV of $1 and PVA of $1)

(Use appropriate factor(s) from the tables provided.)

  

Year 1 Year 2 Year 3 Year 4 Year 5
Expected $ 3,330,000 $ 4,960,000 $ 4,630,000 $ 5,030,000 $ 4,240,000
Actual 2,640,000 3,020,000 4,870,000 3,870,000 3,520,000

Required

a.&b. Compute the net present value of the expected and actual cash flows as of the beginning of the investment. (Negative amounts should be indicated by a minus sign. Round your intermediate calculations and final answer to the nearest whole dollar.)

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Answer #1

Here you go with the solution:

NPV of Expected Cash Flows: 31,94,046/- and NPV of Actual Cash Flows: -2,60,218/-

NPV of Expected Cash Flows
Year Expected ($) PVF Present Value
0         -1,44,00,000 1         -1,44,00,000
1              33,30,000 0.92593              30,83,347
2              49,60,000 0.85734              42,52,406
3              46,30,000 0.79383              36,75,433
4              50,30,000 0.73503              36,97,201
5              42,40,000 0.68058              28,85,659
Net Present Value              31,94,046
NPV of Actual Cash Flows
Year Expected ($) PVF Present Value
0         -1,44,00,000 1         -1,44,00,000
1              26,40,000 0.92593              24,44,455
2              30,20,000 0.85734              25,89,167
3              48,70,000 0.79383              38,65,952
4              38,70,000 0.73503              28,44,566
5              35,20,000 0.68058              23,95,642
Net Present Value               -2,60,218
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