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In: Finance

MACRS Fixed Annual Expense Percentages by Recovery Class            Year ​3-Year ​5-Year ​7-Year ​10-Year     1 ​33.33% ​20.00%...

MACRS Fixed Annual Expense Percentages by Recovery Class         

  Year

​3-Year

​5-Year

​7-Year

​10-Year

    1

​33.33%

​20.00%

​14.29%

​10.00%

    2

​44.45%

​32.00%

​24.49%

​18.00%

    3

​14.81%

​19.20%

​17.49%

​14.40%

    4

​ 7.41%

​11.52%

​12.49%

​11.52%

    5

​11.52%

​8.93%

​9.22%

    6

​ 5.76%

​8.93%

​7.37%

    7

​8.93%

​6.55%

    8

​4.45%

​6.55%

    9

​6.55%

  10

​6.55%

  11

​3.28%

Project cash flow and NPV. The managers of Classic Autos Incorporated plan to manufacture classic Thunderbirds​ (1957 replicas). The necessary foundry equipment will cost a total of $4,200,000 and will be depreciated using a​five-year MACRS​ life, Projected sales in annual units for the next five years are 300 per year. If the sales price is $ 27,000 per​ car, variable costs are ​$18,000 per​ car, and fixed costs are ​$1,300,000 ​annually, what is the annual operating cash flow if the tax rate is 30​%? The equipment is sold for salvage for ​$525,000 at the end of year five. What is the​ after-tax cash flow of the​ salvage? Net working capital increases by ​$550,000 at the beginning of the project​ (year 0) and is reduced back to its original level in the final year. What is the incremental cash flow of the​ project? Using a discount rate of 12% for the​ project, determine whether the project should be accepted or rejected according to the NPV decision model.

First, what is the annual operating cash flow of the project for year​ 1? ​$________ ​(Round to the nearest​ dollar.)

What is the annual operating cash flow of the project for year​ 2? ​$_________ ​(Round to the nearest​ dollar.)

What is the annual operating cash flow of the project for year​ 3? ​$___________ ​(Round to the nearest​ dollar.)

What is the annual operating cash flow of the project for year​ 4? ​$________ ​(Round to the nearest​ dollar.)

What is the annual operating cash flow of the project for year​ 5? ​$_________​(Round to the nearest​ dollar.)

​Next, what is the​ after-tax cash flow of the equipment at​ disposal? ​$________​(Round to the nearest​ dollar.)

​So, what is the incremental cash flow of the project in year​ 0? $________​(Round to the nearest​ dollar.)

What is the incremental cash flow of the project in year​ 1? ​$__________​(Round to the nearest​ dollar.)

What is the incremental cash flow of the project in year​ 2? $_________​ (Round to the nearest​ dollar.)

What is the incremental cash flow of the project in year​ 3? ​$________ (Round to the nearest​ dollar.)

What is the incremental cash flow of the project in year​ 4? ​$________ ​(Round to the nearest​ dollar.)

What is the incremental cash flow of the project in year​ 5? ​$________ ​(Round to the nearest​ dollar.)

​Finally, what is the NPV of the​ project? ​$________ (Round to the nearest​ dollar.)

Should the project be accepted or​ rejected? (Select the best​ response.)

A.The project should be accepted because the NPV is greater than zero.

B.The project should be rejected because the NPV is less than zero.

Solutions

Expert Solution

0 1 2 3 4 5
Sales [300*$27000] $ 81,00,000 $    81,00,000 $ 81,00,000 $     81,00,000 $        81,00,000
Variable cost [300*$18000] $ 54,00,000 $    54,00,000 $ 54,00,000 $     54,00,000 $        54,00,000
Fixed cost $ 13,00,000 $    13,00,000 $ 13,00,000 $     13,00,000 $        13,00,000
Depreciation $     8,40,000 $    13,44,000 $     8,06,400 $        4,83,840 $          4,83,840
NOI $     5,60,000 $          56,000 $     5,93,600 $        9,16,160 $          9,16,160
Tax at 30% $     1,68,000 $          16,800 $     1,78,080 $        2,74,848 $          2,74,848
NOPAT $     3,92,000 $          39,200 $     4,15,520 $        6,41,312 $          6,41,312
Add: Depreciation $     8,40,000 $    13,44,000 $     8,06,400 $        4,83,840 $          4,83,840
OCF $ 12,32,000 $    13,83,200 $ 12,21,920 $     11,25,152 $        11,25,152
Initial investment $       42,00,000
Change in NWC $         5,50,000 $        -5,50,000
Salvage value of equipment at EOY 5 $          5,25,000
Tax on gain = 30%*(525000-241920) = $              84,924
After tax cash flow of the equipment at disposal $          4,40,076
Incfemental cash flow $     -47,50,000 $ 12,32,000 $    13,83,200 $ 12,21,920 $     11,25,152 $        21,15,228
Incfemental cash flow $     -47,50,000 $ 12,32,000 $    13,83,200 $ 12,21,920 $     11,25,152 $        21,15,228
PVIF at 12.00% [PVIF = 1/1.1052^n] 1 0.89286 0.79719 0.71178 0.63552 0.56743
PV at 12.00% $     -47,50,000 $ 11,00,000 $    11,02,679 $     8,69,739 $        7,15,054 $        12,00,237
NPV $         2,37,709
A.The project should be accepted because the NPV is greater than zero.

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