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5. STJ-MC has just designed a new product that it is considering for commerciali

ID: 2548209 • Letter: 5

Question

5. STJ-MC has just designed a new product that it is considering for commercialization. In order to manufucture the product STJ-MC is considering buying a new asset for $16,000. The asset has an 8 yer life for "book" purposes (Straight-Line-8 years and no salvage value) and for "tax purposes (MACRS-7 year life). The marketing department along with industrial engineering and corporate financial planning and analysis developed the following assumptions: r S $16,000 Year1- Sales Sales Grawth COGS % of Sales 5G&A-;% of Sales Product Launch Exp $25,000 a0% 100% 10.0% 10.0% s.0% 5.0% 0.0% 65.0% 20,0% 1,750$ 35,0% 65.0% 20.0% 64.0% 20,0% 64.0% 20,0% 640% 20,0% 630% 19.0% 630% 18.0% 65.0% 20.0% 1,750 1,000 35,0% 350% 350% 35.0% 35.0% 35.0% 35.0% A. Develop the ongoing annual EBITDA (eamings before interest, tax, depreciation, and amortization) for all 8-years using the noted assumptions. Part A does not include depreciation. r 7 Gross Income SG&A; Product Launch Part A Depreciation- Straight Line EBIT-Operaring Income Taxes Part B NOPAT Depreclation Operating Cash Floww NPV @ 10% B. Use straight-line depreciation to calculate the depreciation, the resulting Operating Income, Taxes, NOPAT, and Operating Cash Flow as well as the Net Present Value. C. Repeat this analysis using the 7-year MACRS tax depreciation rate instend of straight-line: MACRS Life (years) 14.29% 24.48% 17.49% 12 49% &93% &93% 8,93% 4.45% Start with EBITDA for all 8 years and then substitute MACRS depreciation instead of Straight- D. Reduce the tax rate to 21% for all 8 years using MACRS, Calculatet erevis dann al cash

Explanation / Answer

A

Yr

0

1

2

3

4

5

6

7

8

Investment

-16000

sales = previous year sale*(1+growth rate)

25000

25000

27500

30250

33275

34938.75

36685.69

36685.69

less cost of goods sold -% of sales

16250

16250

17875

19360

21296

22360.8

23111.98

23111.98

gross income

8750

8750

9625

10890

11979

12577.95

13573.7

13573.7

less SG&A-% of sales

5000

5000

5500

6050

6655

6987.75

6970.281

6603.424

product launch expense

1750

1750

1000

EBITDA

2000

2000

3125

4840

5324

5590.2

6603.424

6970.281

B

EBITDA

2000

2000

3125

4840

5324

5590.2

6603.424

6970.281

less depreciation =16000/8 =2000

2000

2000

2000

2000

2000

2000

2000

2000

operating incomme

0

0

1125

2840

3324

3590.2

4603.424

4970.281

less taxes -35%

0

0

393.75

994

1163.4

1256.57

1611.198

1739.598

add depreciation

2000

2000

2000

2000

2000

2000

2000

2000

operating cash flow

-16000

2000

2000

2731.25

3846

4160.6

4333.63

4992.225

5230.682

present value of operating cash flow at 10% = operating cash flow/(1+r)^n

-16000

1818.1818

1652.893

2052.029

2626.87

2583.405

2446.221

2561.801

2440.152

Net present value = sum of present value of operating cash flow

2181.552

C-

year

1

2

3

4

5

6

7

8

Mcars rate

14.29%

24.49%

17.49%

12.49%

8.93%

8.93%

8.93%

4.45%

cost of machine

16000

16000

16000

16000

16000

16000

16000

16000

Annual depreication = macrs rate* cost of machine

2286.4

3918.4

2798.4

1998.4

1428.8

1428.8

1428.8

712

EBITDA

2000

2000

3125

4840

5324

5590.2

6603.424

6970.281

less depreciation =16000/8 =2000

2286.4

3918.4

2798.4

1998.4

1428.8

1428.8

1428.8

712

operating incomme

-286.4

-1918.4

326.6

2841.6

3895.2

4161.4

5174.624

6258.281

less taxes -35%

-100.24

-671.44

114.31

994.56

1363.32

1456.49

1811.118

2190.398

add depreciation

2286.4

3918.4

2798.4

1998.4

1428.8

1428.8

1428.8

712

operating cash flow

-16000

2100.24

2671.44

3010.69

3845.44

3960.68

4133.71

4792.305

4779.882

present value of operating cash flow at 10% = operating cash flow/(1+r)^n

-16000

1909.3091

2207.802

2261.976

2626.487

2459.271

2333.372

2459.21

2229.85

Net present value = sum of present value of operating cash flow

2487.277

D

EBITDA

2000

2000

3125

4840

5324

5590.2

6603.424

6970.281

less depreciation =16000/8 =2000

2286.4

3918.4

2798.4

1998.4

1428.8

1428.8

1428.8

712

operating incomme

-286.4

-1918.4

326.6

2841.6

3895.2

4161.4

5174.624

6258.281

less taxes -21%

-60.144

-402.864

68.586

596.736

817.992

873.894

1086.671

1314.239

add depreciation

2286.4

3918.4

2798.4

1998.4

1428.8

1428.8

1428.8

712

operating cash flow

-16000

2060.144

2402.864

3056.414

4243.264

4506.008

4716.306

5516.753

5656.042

present value of operating cash flow at 10% = operating cash flow/(1+r)^n

-16000

1872.8582

1985.838

2296.329

2898.206

2797.876

2662.232

2830.966

2638.585

Net present value = sum of present value of operating cash flow

3982.892

A

Yr

0

1

2

3

4

5

6

7

8

Investment

-16000

sales = previous year sale*(1+growth rate)

25000

25000

27500

30250

33275

34938.75

36685.69

36685.69

less cost of goods sold -% of sales

16250

16250

17875

19360

21296

22360.8

23111.98

23111.98

gross income

8750

8750

9625

10890

11979

12577.95

13573.7

13573.7

less SG&A-% of sales

5000

5000

5500

6050

6655

6987.75

6970.281

6603.424

product launch expense

1750

1750

1000

EBITDA

2000

2000

3125

4840

5324

5590.2

6603.424

6970.281

B

EBITDA

2000

2000

3125

4840

5324

5590.2

6603.424

6970.281

less depreciation =16000/8 =2000

2000

2000

2000

2000

2000

2000

2000

2000

operating incomme

0

0

1125

2840

3324

3590.2

4603.424

4970.281

less taxes -35%

0

0

393.75

994

1163.4

1256.57

1611.198

1739.598

add depreciation

2000

2000

2000

2000

2000

2000

2000

2000

operating cash flow

-16000

2000

2000

2731.25

3846

4160.6

4333.63

4992.225

5230.682

present value of operating cash flow at 10% = operating cash flow/(1+r)^n

-16000

1818.1818

1652.893

2052.029

2626.87

2583.405

2446.221

2561.801

2440.152

Net present value = sum of present value of operating cash flow

2181.552

C-

year

1

2

3

4

5

6

7

8

Mcars rate

14.29%

24.49%

17.49%

12.49%

8.93%

8.93%

8.93%

4.45%

cost of machine

16000

16000

16000

16000

16000

16000

16000

16000

Annual depreication = macrs rate* cost of machine

2286.4

3918.4

2798.4

1998.4

1428.8

1428.8

1428.8

712

EBITDA

2000

2000

3125

4840

5324

5590.2

6603.424

6970.281

less depreciation =16000/8 =2000

2286.4

3918.4

2798.4

1998.4

1428.8

1428.8

1428.8

712

operating incomme

-286.4

-1918.4

326.6

2841.6

3895.2

4161.4

5174.624

6258.281

less taxes -35%

-100.24

-671.44

114.31

994.56

1363.32

1456.49

1811.118

2190.398

add depreciation

2286.4

3918.4

2798.4

1998.4

1428.8

1428.8

1428.8

712

operating cash flow

-16000

2100.24

2671.44

3010.69

3845.44

3960.68

4133.71

4792.305

4779.882

present value of operating cash flow at 10% = operating cash flow/(1+r)^n

-16000

1909.3091

2207.802

2261.976

2626.487

2459.271

2333.372

2459.21

2229.85

Net present value = sum of present value of operating cash flow

2487.277

D

EBITDA

2000

2000

3125

4840

5324

5590.2

6603.424

6970.281

less depreciation =16000/8 =2000

2286.4

3918.4

2798.4

1998.4

1428.8

1428.8

1428.8

712

operating incomme

-286.4

-1918.4

326.6

2841.6

3895.2

4161.4

5174.624

6258.281

less taxes -21%

-60.144

-402.864

68.586

596.736

817.992

873.894

1086.671

1314.239

add depreciation

2286.4

3918.4

2798.4

1998.4

1428.8

1428.8

1428.8

712

operating cash flow

-16000

2060.144

2402.864

3056.414

4243.264

4506.008

4716.306

5516.753

5656.042

present value of operating cash flow at 10% = operating cash flow/(1+r)^n

-16000

1872.8582

1985.838

2296.329

2898.206

2797.876

2662.232

2830.966

2638.585

Net present value = sum of present value of operating cash flow

3982.892

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