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Aguilera Acoustics, Inc., (AAI) projects unit sales for a new seven-octave voice

ID: 2756955 • Letter: A

Question

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

  

Production of the implants will require $1,840,000 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 $1,480,000 per year, variable production costs are $238 per unit, and the units are priced at $358 each. The equipment needed to begin production has an installed cost of $29,500,000. Because the implants are intended for professional singers, this equipment is considered industrial machinery and thus qualifies as seven-year MACRS (MACRS Table) property. In five years, this equipment can be sold for about 10 percent of its acquisition cost. AAI is in the 34 percent marginal tax bracket and has a required return on all its projects of 17 percent.

  

What are operating cash flows, change in net working capital, capital spending, and total cash flow for each year of the project? (Do not round intermediate calculations. Enter a minus sign to indicate a cash outflow. Enter a zero where required. Round your answer to the nearest whole number (e.g., 32)

   

What is the NPV of the project? (Do not round intermediate calculations. Round your answer to 2 decimal places (e.g., 32.16).)

  

  

What is the IRR? (Do not round intermediate calculations. Round your answer to 2 decimal places (e.g., 32.16).)

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

Explanation / Answer

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

= $ 49432778.80 - 29500000

= $19,932,778.80

Year

0

1

2

3

4

5

OCF

$13,764,500

$16,671,375

$14,250,943

$11,741,614

$12,148,082

Change in NWC

$6,358,200

$1,360,400

($859,200)

($1,217,200)

($1,002,400)

Capital spending

$29,500,000

Total cash flow

$29,500,000

$20,122,700

$18,031,775

$13,391,743

$10,524,414

$11,145,682

PVF

0.8547

0.7305

0.6244

0.5337

0.4561

Present value of cash flows

$29,500,000

$17,198,888.89

$13,172,455.99

$8,361,410.03

$5,616,354.04

$5,083,669.86

Particulars

Year 1

Year 2

Year3

Year4

Year5

Sales units

114,500

133,500

121,500

104,500

90,500

Sales price per unit

$358

$358

$358

$358

$358

Cost per unit

$238

$238

$238

$238

$238

Sales units

114,500

133,500

121,500

104,500

90,500

Contribution per unit

$120

$120

$120

$120

$120

Total Contribution

$13,740,000

$16,020,000

$14,580,000

$12,540,000

$10,860,000

Less- Fixed cost

$1,480,000

$1,480,000

$1,480,000

$1,480,000

$1,480,000

Add-- tax savings due to depreciation @37%

1504500

2131375

1150942.5

681613.725

410541.19

Add- scrapped value (net of tax)

-

2357541

OCF

$13,764,500

$16,671,375

$14,250,943

$11,741,614

$12,148,082

                                                

Working capital

1840000

$8,198,200

$9,558,600

$8,699,400

$7,482,200

$6,479,800

Changes in working capital

$6,358,200

$1,360,400

($859,200)

($1,217,200)

($1,002,400)

2. IRR = Cash outflows/ cash inflows

= 29500000 / $73,216,314

= 0.4029

Refer to PVIFA table we get (5th year)

IRR = 20%

Year

0

1

2

3

4

5

OCF

$13,764,500

$16,671,375

$14,250,943

$11,741,614

$12,148,082

Change in NWC

$6,358,200

$1,360,400

($859,200)

($1,217,200)

($1,002,400)

Capital spending

$29,500,000

Total cash flow

$29,500,000

$20,122,700

$18,031,775

$13,391,743

$10,524,414

$11,145,682

PVF

0.8547

0.7305

0.6244

0.5337

0.4561

Present value of cash flows

$29,500,000

$17,198,888.89

$13,172,455.99

$8,361,410.03

$5,616,354.04

$5,083,669.86

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