Aria Acoustics, Inc. (AAI), projects unit sales for a new seven-octave voice emulation implant as follows:Year Unit Sales1 76,0002 89,0003 108,7504 101,5005 68,800Production of the implants will require $2,250,000 in net working capital to start and additional net working capital investments each year equal to 20 percent of the projected sales increase for the following year. Total fixed costs are $4,700,000 per year, variable production costs are $270 per unit, and the units are priced at $420 each. The equipment needed to begin production has an installed cost of $19,500,000. Because the implants are intended for professional singers, this equipment is considered industrial machinery and thus qualifies as seven-year MACRS property. In five years, this equipment can be sold for about 25 percent of its acquisition cost. The tax rate is 25 percent the required return is 15 percent. MACRS schedulea. What is the NPV of the project? (Do not round intermediate calculations and round your answer to 2 decimal places, e. g., 32.16.)b. What is the IRR? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e. g., 32.16.

NPV = $3,013,537.02

IRR = 20.15%

Explanation:

initial investment $19,500,000

sales revenue per year:

year 1 = 76,000 x $420 = $31,920,000

year 2 = 89,000 x $420 = $37,380,000

year 3 = 108,750 x $420 = $45,675,000

year 4 = 101,500 x $420 = $42,630,000

year 5 = 68,800 x $420 = $28,896,000

change in net working capital:

year 0 = $2,250,000

year 1 = ($37,380,000 - $31,920,000) x 0.2 = $1,092,000

year 2 = ($45,675,000 - $37,380,000) x 0.2 = $1,659,000

year 3 = ($42,630,000 - $45,675,000) x 0.2 = -$609,000

year 4 = ($28,896,000 - $42,630,000) x 0.2 = -$2,746,800

year 5 = -$1,646,000

fixed costs = $4,700,000

contribution margin per unit = $420 - $270 = $150 per unit

resale value at the end of year 5 = $3,900,000

MACRS depreciation 7 year property:

year          %                depreciation expense

1               14.29%          $2,786,550

2              24.49%         $4,775,550

3              17.49%          $3,410,550

4              12.29%          $2,396,550

5              6.44%*          $1,255,800*

                   *net of resale value

net cash flow year 0 = -$19,500,000 - $2,250,000 = -$21,750,000

net cash flow year 1 = [($11,400,000 - $4,700,000 - $2,786,550) x 0.75] + $2,786,550 - $1,092,000 = $4,629,637.50

net cash flow year 2 = [($13,350,000 - $4,700,000 - $4,775,550) x 0.75] + $4,775,550 - $1,659,000 = $6,022,387.50

net cash flow year 3 = [($16,312,500 - $4,700,000 - $3,410,550) x 0.75] + $3,410,550 + $609,000 = $10,171,012.50

net cash flow year 4 = [($15,225,000 - $4,700,000 - $2,396,550) x 0.75] + $2,396,550 + $2,746,800 = $11,239,687.50

net cash flow year 5 = [($10,320,000 - $4,700,000 - $1,255,800) x 0.75] + $1,255,800 + $1,646,000 = $6,174,950

NPV = $3,013,537.02

IRR = 20.15%

answer(c) factors of production;