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1. The PARC Company, a large profitable corporation, has decided to purchase a n

ID: 2752453 • Letter: 1

Question

1. The PARC Company, a large profitable corporation, has decided to purchase a new widget machine. The following cost data concerning the widget machine have been provided. First cost = $3,156,000.   Salvage value = $119,000.   Life = 10 Years.    Annual benefits = $885,000. Annual M & O Costs = $97,700. PARC has been advised to consider at least four separate alternatives:

Direct purchase the machine with internally generated funds. Under these conditions, PARC uses MACRS.   This particular project has a depreciation life of seven years.   The combined income tax rate is composed of 6% state tax rate and 31% fed rate.   The investment tax credit rate is 9% and the capital gains tax is 31%.   PARC uses an after-tax MARR of 12%.

PARC can decide to take out a loan for 35% of the first cost. The loan will have an interest rate of 12% and consists of eight annual payments. The tax and other      considerations are the same as in 1) above.

By purchasing an adjacent piece property and constructing a separate structure to house the new machine, the rent paid by the company will be reduced by $250,000 per year. The new building will cost $850,000 and the land will cost an additional $150,000. Assume they will purchase the building and property in the first month of the first year and will be sold in the last month of the 10th year. If they decide to go with this option they will use MACRS depreciation with 7 year life for the machine and the tax and information in option 1) dealing with tax rates and MARR. And also assume they can sell the land and building for the ending book value at the end of the life of the project.

They have an offer to lease from 1-Eye Machine Works a machine that will produce the widgets for $450,000 per year with the tax conditions etc as in 1) above.

PREFERABLY USING EXCEL PLS!!!

Explanation / Answer

1

Net present value of project = Present value of cash Inflow - Present value of cash outflow

= 3199188 - 2871960

= 327228

Present value of cash outflow

Particulars

Equipment

PVF

PV (amount)

Initial investment

3156000

1

3156000

Less- 9% tax credit

284040

1

284040

Present value of cash outflow

2871960

Present value of cash Inflow

Particulars

Year 1

Year 2

Year3

Year4

Year5

Year6

Year7

Year8

Annual benefits

$885,000

$885,000

$885,000

$885,000

$885,000

$885,000

$885,000

$885,000

Less- M & O costs

$ 97700

$ 97700

$ 97700

$ 97700

$ 97700

$ 97700

$ 97700

$ 97700

Less- depreciation

473400

670650

362151

214474

129179

117553

106973

-

Annual income

313900

116650

425149

572826

658121

669747

680327

787300

Less- tax @37%

116143

43160

157305

211946

243505

247806

251721

291301

Cash flow after tax before depreciation

671157

744140

629995

575354

543795

539494

535579

495999

Add- scrapped value (net of tax)

-

417412

Net annual cash flow

671157

744140

629995

575354

543795

539494

535579

913411

Present value factor

.892

.797

.712

.636

.567

.507

.452

.404

PV of cash inflow

598672

593079.6

448556.4

365925.1

308331.8

273523.5

242081.7

369018

Total PV of cash inflow = 3199188

                                                

sale of equipment        119000    

WDV                               1081620  

Net gain                        ( 962620)

Tax @31%                       298412

scrap value (net of tax) 417412

Depreciation

1. 15% = 473400

2. 25% = 670650

3. 18% = 362151

4 13% = 214474

5. 9% = 129179

6 9% = 117553

7   9% = 106973

2

Net present value of project = Present value of cash Inflow - Present value of cash outflow

= 2,935,469 - 3021258

= -85789

Present value of cash outflow

Particulars

Equipment

PVF

PV (amount)

Initial investment

2051400

1

2051400

Less- 9% tax credit

284040

1

284040

Add- annual repayment of loan

138075

4.967

685818

Present value of cash outflow

3021258

Present value of cash Inflow

Particulars

Year 1

Year 2

Year3

Year4

Year5

Year6

Year7

Year8

Annual benefits

$885,000

$885,000

$885,000

$885,000

$885,000

$885,000

$885,000

$885,000

Less- M & O costs

$ 97700

$ 97700

$ 97700

$ 97700

$ 97700

$ 97700

$ 97700

$ 97700

Less- interest cost

132552

115983

99414

82845

66276

49707

33138

16569

Less- depreciation

473400

670650

362151

214474

129179

117553

106973

-

Annual income

$181,348

$667

$325,735

$489,981

$591,845

$620,040

$647,189

$770,731

Less- tax @37%

$67,099

$246.79

$120,522

$181,293

$218,983

$229,415

$239,460

$285,170

Cash flow after tax before depreciation

$587,649

$671,070

$567,364

$523,162

$502,041

$508,178

$514,702

$485,560

Add- scrapped value (net of tax)

-

417412

Net annual cash flow

$587,649

$671,070

$567,364

$523,162

$502,041

$508,178

$514,702

902972

Present value factor

.892

.797

.712

.636

.567

.507

.452

.404

Total PV of cash inflow = $2,935,469.38

Particulars

Equipment

PVF

PV (amount)

Initial investment

3156000

1

3156000

Less- 9% tax credit

284040

1

284040

Present value of cash outflow

2871960