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

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%

NPV. Mathews Mining Company is looking at a project that has the following forecasted​ sales: ​ first-year sales are 7,000 ​units, and sales will grow at 12​% over the next four years​ (a five-year​ project). The price of the product will start at $126.00 per unit and will increase each year at 66​%. The production costs are expected to be 63​% of the current​ year's sales price. The manufacturing equipment to aid this project will have a total cost​ (including installation) of $1,450,000. It will be depreciated using MACRS, and has a​ seven-year MACRS life classification. Fixed costs will be ​$55,000 per year. Mathews Mining has a tax rate of 30​%. What is the operating cash flow for this project over these five​ years? Find the NPV of the project for Mathews Mining if the manufacturing equipment can be sold for ​$80,000 at the end of the​ five-year project and the cost of capital for this project is 14​%.

What is the operating cash flow for this project in year​ 1? ​$_______ (Round to the nearest​ dollar.)

What is the operating cash flow for this project in year​ 2? ​$________ ​(Round to the nearest​ dollar.)

What is the operating cash flow for this project in year​ 3? ​$_________ (Round to the nearest​ dollar.)

What is the operating cash flow for this project in year​ 4? ​$__________ (Round to the nearest​ dollar.)

What is the operating cash flow for this project in year​ 5? ​$__________ (Round to the nearest​ dollar.)

What is the​ after-tax cash flow of the project at​ disposal? ​$__________ ​(Round to the nearest​ dollar.)

What is the NPV of the​ project? ​$_________​(Round to the nearest​ dollar.)

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Answer #1

Statement showing depreciation

Year Opening balance Depreciation rate Depreciation = 1450000*Depreciation rates Closing balance
1 1,450,000 14.29% 207205 1,242,795
2 1,242,795 24.49% 355105 887,690
3 887,690 17.49% 253605 634,085
4 634,085 12.49% 181105 452,980
5 452,980 8.93% 129485 323,495
6 323,495 8.92% 129340 194,155
7 194,155 8.93% 129485 64,670
8 64,670 4.46% 64670 0

Statement showing NPV

Particulars 0 1 2 3 4 5 NPV = Sum of PV
Cost of equipment -1450000
Sales in unit 7000 7840 8781 9834 11015
Sales price per unit 126 209 347 576 957
Total sales 882000 1639814 3048743 5668223 10538360
Production cost @ 63% of sales 555660 1033083 1920708 3570980 6639167
Fixed cost 55000 55000 55000 55000 55000
Deprecition 207205 355105 253605 181105 129485
PBT 64135 196626 819430 1861137 3714708
Tax @ 30% 19241 58988 245829 558341 1114412
PAT 44895 137638 573601 1302796 2600296
Add: Deprecition 207205 355105 253605 181105 129485
Annual cash flow 252100 492743 827206 1483901 2729781
Salvage value = 80000+30%(323495-80000)
=80000+30%(243495)
=80000+73048.5
=153048.5
153049
Total cash flow -1450000 252100 492743 827206 1483901 2882829
PVIF @ 14% 1 0.8772 0.7695 0.6750 0.5921 0.5194
PV = Total cash flow*PVIF -1450000 221140 379150 558340 878589 1497251 2084470

Thus

Operating cash flow at year 1 =252100$

Operating cash flow at year 2 = 492743$

Operating cash flow at year 3 = 827206$

Operating cash flow at year 4=1483901$

Operating cash flow at year 5 = 2729781$

NPV = 2084470$

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