In: Accounting
Matheson Electronics has just developed a new electronic device that it believes will have broad market appeal. The company has performed marketing and cost studies that revealed the following information:
New equipment would have to be acquired to produce the device. The equipment would cost $150,000 and have a six-year useful life. After six years, it would have a salvage value of about $18,000.
Sales in units over the next six years are projected to be as follows:
Year | Sales in Units |
1 | 7,000 |
2 | 12,000 |
3 | 14,000 |
4–6 | 16,000 |
Production and sales of the device would require working capital of $47,000 to finance accounts receivable, inventories, and day-to-day cash needs. This working capital would be released at the end of the project’s life.
The devices would sell for $60 each; variable costs for production, administration, and sales would be $45 per unit.
Fixed costs for salaries, maintenance, property taxes, insurance, and straight-line depreciation on the equipment would total $151,000 per year. (Depreciation is based on cost less salvage value.)
To gain rapid entry into the market, the company would have to advertise heavily. The advertising costs would be:
Year | Amount of Yearly Advertising |
||
1–2 | $ | 45,000 | |
3 | $ | 56,000 | |
4–6 | $ | 46,000 | |
The company’s required rate of return is 6%
.
1. Compute the net cash inflow (incremental contribution margin minus incremental fixed expenses) anticipated from sale of the device for each year over the next six years.
A. Using the data computed in (1) above and other data provided in the problem, determine the net present value of the proposed investment.
B. Would you recommend that Matheson accept the device as a new product?
Solution 1: | |||||||
Annual depreciation = (Cost - Salvage value) / Useful life = ($150,000 - $18,000) / 6 = $22,000 | |||||||
Computation of net cash inflow from sale of device | |||||||
Particulars | Year 1 | Year 2 | Year 3 | Year 4-6 | |||
Sales in units | 7000 | 12000 | 14000 | 16000 | |||
Sales in dollar | $4,20,000.00 | $7,20,000.00 | $8,40,000.00 | $9,60,000.00 | |||
Variable expenses | $3,15,000.00 | $5,40,000.00 | $6,30,000.00 | $7,20,000.00 | |||
Contribution margin | $1,05,000.00 | $1,80,000.00 | $2,10,000.00 | $2,40,000.00 | |||
Fixed Expenses: | |||||||
Salaries and other (Excluding depreciation) | $1,29,000.00 | $1,29,000.00 | $1,29,000.00 | $1,29,000.00 | |||
Advertising | $45,000.00 | $45,000.00 | $56,000.00 | $46,000.00 | |||
Total fixed expenses | $1,74,000.00 | $1,74,000.00 | $1,85,000.00 | $1,75,000.00 | |||
Net cash inflow (Outflow) | -$69,000.00 | $6,000.00 | $25,000.00 | $65,000.00 | |||
Solution 2a: | |||||||
Computation of Net Present Value - Matheson Electronics | |||||||
Particulars | Now | Year 1 | Year 2 | Year 3 | Year 4 | Year 5 | Year 6 |
Cost of equipment | -$1,50,000 | ||||||
Working capital | -$47,000 | ||||||
Yearly net cash flows | -$69,000 | $6,000 | $25,000 | $65,000 | $65,000 | $65,000 | |
Release of working capital | $47,000 | ||||||
Salavage value of equipment | $18,000 | ||||||
Total cash flows | -$1,97,000 | -$69,000 | $6,000 | $25,000 | $65,000 | $65,000 | $1,30,000 |
PV Factor | 1.000 | 0.943 | 0.890 | 0.840 | 0.792 | 0.747 | 0.705 |
Present Value | -$1,97,000 | -$65,067 | $5,340 | $21,000 | $51,480 | $48,555 | $91,650 |
Net present value | -$44,042 | ||||||
Solution 2b: As NPV is positive, therefore Matheson should accept the device as a new product. |