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Matheson Electronics has ust developed a new electronc devke that t believes wil

ID: 2515907 • Letter: M

Question

Matheson Electronics has ust developed a new electronc devke that t believes wil have broad market appeat. The company tas performed marketing and cost studies that revealed the tollowir information a. Newr equipment would have to be acquired to produce the device. The equipment wouid cost $240,000 and have a six-year useful life. After six years, t wouid have a savage value of about $18,000 b. Sales in units over the next sx years are projected to be as follows s in 13.000 18,000 20,000 22,000 4-6 c Production and saies of the device would require working captai of $56.000 to tinance accounts receivable inventores, and day to-day cash needs This working captal would be released at t end of the project's Ife d The devices would sell for $35 each, variable costs for production, administration, and saies would be $20 per unt e Fised costs tor salaries martenance. property taxes. nsrance and straighane de retation on the equip r wad ital Sts, oo???, year value) e ecat on is base , on cost lens utva e f To gain rapid entry into the market the company would have to advertise heavily The advertising program would be Amount of Yealy Year 5 85,000 65,000 $56,000 4-6 g The companys required rate or return as ,7% cck here to viEahibit atu.t andto eteme tepropniale dincount ctorsui

Explanation / Answer

Solution:

Part 1 – Computation of Net Cash Inflow (outflow)

Year 1

Year 2

Year 3

Year 4-6

Sales in units

13,000

18,000

20,000

22,000

Sales in dollars (Sales units @ $35)

$455,000

$630,000

$700,000

$770,000

Variable Expenses (Sales unit @ $20)

$260,000

$360,000

$400,000

$440,000

Contribution Margin

$195,000

$270,000

$300,000

$330,000

Fixed Expenses:

Salaries and other (refer note)

$114,000

$114,000

$114,000

$114,000

Advertising

$85,000

$85,000

$65,000

$55,000

Total Fixed Expenses

$199,000

$199,000

$179,000

$169,000

Net Cash Inflow (Outflow)

-$4,000

$71,000

$121,000

$161,000

Note --

Annual Depreciation = (Cost of Equipment 240,000 – Salvage Value $18,000) / useful life 6

= $37,000

Depreciation is a non cash item. It means depreciation does not involve any cash outflow, hence it is not deducted from the contribution margin to get net cash inflows from the project.

Since tax rate is not given in the question, there is no need to deduct the depreciation. We deduct the depreciation only to get the benefit in tax and added back to net profit to get Net Cash Inflows.

Part 2(a) – Net Present Value

Now

Year 1

Year 2

Year 3

Year 4

Year 5

Year 6

Cost of Equipment

($240,000)

Working Capital

($56,000)

Yearly Net Cash Flows

($4,000)

$71,000

$121,000

$161,000

$161,000

$161,000

Release of working capital

$56,000

Salvage value of equipment

$18,000

Total Cash flows

-$296,000

-$4,000

$71,000

$121,000

$161,000

$161,000

$235,000

Discount factor @ 17%

1.000

0.855

0.731

0.624

0.534

0.456

0.390

Present Value

-$296,000

-$3,420

$51,901

$75,504

$85,974

$73,416

$91,650

Net Present Value

$79,025

Part 2(b) – Yes the project should be selected. Since the NPV is positive.

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Year 1

Year 2

Year 3

Year 4-6

Sales in units

13,000

18,000

20,000

22,000

Sales in dollars (Sales units @ $35)

$455,000

$630,000

$700,000

$770,000

Variable Expenses (Sales unit @ $20)

$260,000

$360,000

$400,000

$440,000

Contribution Margin

$195,000

$270,000

$300,000

$330,000

Fixed Expenses:

Salaries and other (refer note)

$114,000

$114,000

$114,000

$114,000

Advertising

$85,000

$85,000

$65,000

$55,000

Total Fixed Expenses

$199,000

$199,000

$179,000

$169,000

Net Cash Inflow (Outflow)

-$4,000

$71,000

$121,000

$161,000