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 $486,000 and have a six-year useful life. After six years, it would have a salvage value of about $24,000.
Sales in units over the next six years are projected to be as follows:
| Year | Sales in Units | 
| 1 | 18,000 | 
| 2 | 23,000 | 
| 3 | 25,000 | 
| 4–6 | 27,000 | 
Production and sales of the device would require working capital of $63,000 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 $35 each; variable costs for production, administration, and sales would be $20 per unit.
Fixed costs for salaries, maintenance, property taxes, insurance, and straight-line depreciation on the equipment would total $159,000 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 | $ | 228,000 | |
| 3 | $ | 72,000 | |
| 4–6 | $ | 62,000 | |
The company’s required rate of return is 18%.
Click here to view Exhibit 13B-1 and Exhibit 13B-2, to determine the appropriate discount factor(s) using tables.
Required:
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.
2-a. Using the data computed in (1) above and other data provided in the problem, determine the net present value of the proposed investment.
2-b. Would you recommend that Matheson accept the device as a new product?
| Depreciation expense | ||||||||||
| (486000-24000)/6 | ||||||||||
| 77000 | ||||||||||
| fixed costs for salaires (cash outflow)= | ||||||||||
| 159000-77000 | ||||||||||
| 82000 | ||||||||||
| year 1 | year 2 | year 3 | year 4-6 | |||||||
| Sale in units | 18,000 | 23,000 | 25,000 | 27,000 | ||||||
| Sales in dollars | 630000 | 805000 | 875000 | 945000 | ||||||
| variable expenses | 360000 | 460000 | 500000 | 540000 | ||||||
| contribution margin | 270000 | 345000 | 375000 | 405000 | ||||||
| Fixed expenses: | ||||||||||
| Salaries and other | 82,000 | 82,000 | 82,000 | 82,000 | ||||||
| Advertising | 228,000 | 228,000 | 72,000 | 62,000 | ||||||
| total fixed expeneses | 310,000 | 310,000 | 154,000 | 144,000 | ||||||
| Net cash inflow(outflow) | -40,000 | 35,000 | 221,000 | 261,000 | ||||||
| 2-a) | Now | 1 | 2 | 3 | 4 | 5 | 6 | |||
| cost of Equipment | -486,000 | |||||||||
| Working capital | -63,000 | |||||||||
| yearly net cash flows | -40,000 | 35,000 | 221,000 | 261,000 | 261,000 | 261,000 | ||||
| Release of working capital | 63,000 | |||||||||
| Salvage value of Equipment | 24,000 | |||||||||
| total cash flows | -549,000 | -40000 | 35000 | 221000 | 261000 | 261000 | 348000 | |||
| discount factor (18%) | 1 | 0.847 | 0.718 | 0.609 | 0.516 | 0.437 | 0.37 | |||
| present value | -549,000 | -33880 | 25130 | 134589 | 134676 | 114057 | 128760 | |||
| Net present value | -45,668 | |||||||||
| 2-b) | No | |||||||||