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In: Finance

Aguilera Acoustics, Inc. (AAI), projects unit sales for a new seven-octave voice emulation implant as follows:...

Aguilera Acoustics, Inc. (AAI), projects unit sales for a new seven-octave voice emulation implant as follows:

Year

Unit Sales

1

8300

2

9200

3

10400

4

9800

5

8400

Production of the implants will require GH¢ 150,000 in net working capital to start and additional networking capital investments each year equal to 15 percent of the projected sales for that year. In the final year of the project, networking capital will decline to zero as the project is wound down. In other words, the investment in working capital is to be completely recovered by the end of the project’s life. Total fixed costs are GH¢ 240,000 per year, variable production costs are GH¢ 190 per unit, and the units are priced at GH¢ 345 each. The equipment needed to begin production has an installed cost of GH¢ 2,300,000. Because the implants are intended for professional singers, this equipment depreciated using a straight-line basis. In five years, this equipment can be sold for about 20 percent of its acquisition cost. The cost of acquisition and installation is to be financed partly by a loan from Swez Bank to the tune of GH¢ 1,000,000 at an interest rate of 15% and the remaining financed from the internal resource of the firm. The cost of equity is 20%. AAI is in the 25 percent marginal tax bracket. Based on these preliminary project estimates,

Required

Advise whether the company should buy the equipment or not using the NPV              

Solutions

Expert Solution

WACC
Total Weight Weight Cost Cost Weight * Cost
Debt             1,000,000 1000000/2300000 43.48% 15%*(1-25%) 11.25% 4.89%
Equity             1,300,000 1300000/2300000 56.52% 20.00% 20.00% 11.30%
Total             2,300,000 WACC 16.20%
Tax rate 25%
Calculation of annual depreciation
Depreciation Year-1 Year-2 Year-3 Year-4 Year-5 Total
Depreciable cost (2300000*80%) $          1,840,000 $   1,840,000 $    1,840,000 $    1,840,000 $     1,840,000
Dep Rate 20.00% 20.00% 20.00% 20.00% 20.00%
Depreciation Cost * Dep rate $             368,000 $      368,000 $       368,000 $       368,000 $        368,000 $    1,840,000
Calculation of after-tax salvage value
Cost of machine $   2,300,000
Depreciation $   1,840,000
WDV Cost less accumulated depreciation $      460,000
Sale price $      460,000
Profit/(Loss) Sale price less WDV $                -  
Tax Profit/(Loss)*tax rate $                -  
Sale price after-tax Sale price less tax $      460,000
Calculation of annual operating cash flow
Year-1 Year-2 Year-3 Year-4 Year-5
No of units                     8,300              9,200             10,400               9,800                8,400
Selling price $                    345 $             345 $              345 $              345 $               345
Operating ost $                    190 $             190 $              190 $              190 $               190
Sale $          2,863,500 $   3,174,000 $    3,588,000 $    3,381,000 $     2,898,000
Less: Operating Cost $          1,577,000 $   1,748,000 $    1,976,000 $    1,862,000 $     1,596,000
Contribution $          1,286,500 $   1,426,000 $    1,612,000 $    1,519,000 $     1,302,000
Less: Fixed cost $             240,000 $      240,000 $       240,000 $       240,000 $        240,000
Less: Depreciation $             368,000 $      368,000 $       368,000 $       368,000 $        368,000
Profit before tax (PBT) $             678,500 $      818,000 $    1,004,000 $       911,000 $        694,000
Tax@25% PBT*Tax rate $             169,625 $      204,500 $       251,000 $       227,750 $        173,500
Profit After Tax (PAT) PBT - Tax $             508,875 $      613,500 $       753,000 $       683,250 $        520,500
Add Depreciation PAT + Dep $             368,000 $      368,000 $       368,000 $       368,000 $        368,000
Cash Profit after-tax $             876,875 $      981,500 $    1,121,000 $    1,051,250 $        888,500
Calculation of working capital movement
Working capital-opening $                      -   $             150,000 $      429,525 $       476,100 $       538,200 $        507,150
Closing working capital $            150,000 $             429,525 $      476,100 $       538,200 $       507,150 $                  -  
Movement $            150,000 $             279,525 $        46,575 $         62,100 $       (31,050) $       (507,150)
Calculation of NPV
16.20%
Year Capital Working capital Operating cash Annual Cash flow PV factor, 1/(1+r)^time Present values

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