Question

In: Accounting

Brett Collins is reviewing his company’s investment in a cement plant. The company paid $15,600,000 five...

Brett Collins is reviewing his company’s investment in a cement plant. The company paid $15,600,000 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 desired rate of return for present value computations is 9 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 $ 3,310,000 $ 4,970,000 $ 4,560,000 $ 5,050,000 $ 4,240,000
Actual 2,660,000 3,000,000 4,920,000 3,810,000 3,580,000


Required

  1. 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.)

Solutions

Expert Solution

Answer-a)-

BRETT COLLINS
Calculation of Net Present Value of Expected cash flows
Year Net Cash Flows (a) Present Value of 1 at 9% (b) Present Value of cash flows (c=a*b)
Year 1 3310000 0.917 3035270
Year 2 4970000 0.842 4184740
Year 3 4560000 0.772 3520320
Year 4 5050000 0.708 3575400
Year 5 4240000 0.650 2756000
Totals
Total present value of cash inflow (a) 17071730
Total cash outflow (b) 15600000
Net Present Value (c=a-b) 1471730

b)-

BRETT COLLINS
Calculation of Net Present Value of Actual cash flows
Year Net Cash Flows (a) Present Value of 1 at 9% (b) Present Value of cash flows (c=a*b)
Year 1 2660000 0.917 2439220
Year 2 3000000 0.842 2526000
Year 3 4920000 0.772 3798240
Year 4 3810000 0.708 2697480
Year 5 3580000 0.650 2327000
Totals
Total present value of cash inflow (a) 13787940
Total cash outflow (b) 15600000
Net Present Value (c=a-b) -1812060

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