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Matheson Electronics has just developed a new electronic device that it believes

ID: 2472262 • Letter: M

Question

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 $318,000 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:

  

Production and sales of the device would require working capital of $62,000 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 $15 per unit.

Fixed costs for salaries, maintenance, property taxes, insurance, and straight-line depreciation on the equipment would total $169,000 per year. (Depreciation is based on cost less salvage value.)

Click here to view Exhibit 13B-1 and Exhibit 13B-2, to determine the appropriate discount factor(s) using tables.

Compute the net cash inflow (cash receipts less yearly cash operating expenses) anticipated from sale of the device for each year over the next six years.

       

Using the data computed in (1) above and other data provided in the problem, determine the net present value of the proposed investment. (Any cash outflows should be indicated by a minus sign. Round discount factor(s) to 3 decimal places.)

       

Would you recommend that Matheson accept the device as a new product?

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:

Explanation / Answer

From the above information:

                         Depreciation per year = (318,000 - 18,000) / 6 = $50,000

                   Also, contribution per unit = $35 -$15 = $20 per unit

                           Fixed cost incl. depreciation = $169,000 per year

1. Computation of Net cash inflows:

                            Particulars      Year1 Year2        year 3            Year 4 to 6

                                         Sales                 8,000            13,000          15,000            17,000

             A.      Contribution @20 per unit    160,000        260,000      300,000           340,000

             B.    Less: Fixed costs                     169,000          169,000        169,000          169,000

              C.    Less: Advertising expense         182,000         182,000          51,000             41,000

             D.     Add: Depreciation                    50,000             50,000          50,000            50,000

                 Net cash inflows:[A-B-C+D ]     -141,000        -41,000        130,000    180,000

2.   Calculation of Net present value:

                Present value of cash outflow i.e asset purchase =   - $318,000

                Present value of working capital outflow = $62,000

                Present value of operating cash inflow @ 8% discount rate for 6 years =

                                             =   -141,000 * 0.926 + -41,000*0.857 + 130,000*0.794 + 180,000* 2.046

                                             = $ 305,797

               Present value of salvage value at the end of 6th year = 18,000 *0.630 = 11,340

               Present value of working capital inflow @ 6th year       = $62,000 * 0.630 = 39,060

                                       Net present value = Discounted Cash inflows - Cash outflows        

   = 305,797 + 11,340 + 39,060 - 318,000 - 62,000

   =    -23,803

2.B Conclusion : Since, NPV is negative, Matheson should not accept the device for new project