The company’s required rate of return is 16%. Click here to view Exhibit 13B-1 a
ID: 1171119 • Letter: T
Question
The company’s required rate of return is 16%.
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?
The company’s required rate of return is 16%.
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?
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 $264,000 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:
Production and sales of the device would require working capital of $59,000 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 $50 each; variable costs for production, administration, and sales would be $35 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.)
To gain rapid entry into the market, the company would have to advertise heavily. The advertising costs would be:
Year Amount of YearlyAdvertising 1–2 $ 133,000 3 $ 68,000 4–6 $ 58,000 EXHIBIT 13B-2 Present Value of an Annulty of $1 In Arrears: 71-atry Periods 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 15% 16% 17% 18% 19% 20% 21% 22% 23% 24% 25% 0.962 0.952 0.943 0.935 0.926 0.917 0.909 0.901 0.893 0.885 0.877 0.870 0.862 0.855 0.847 0.840 0.833 0.826 0.820 0.813 0.806 0.800 1.886 1.859 1.833 1.808 1.783 1.759 1.736 1.713 1.690 1.668 1.647 1.626 1.605 1.585 1.566 1.547 1.528 1.509 1.492 1.474 1.457 1.440 2.775 2.723 2.673 2.624 2.577 2.531 2.487 2.444 2.402 2.361 2.322 2.283 2.246 2.210 2.174 2.140 2.106 2.074 2.042 2.011 1.981 1.952 102 3.037 2.974 2.914 2.855 2.798 2.743 2.690 2.639 2.589 2.540 2.494 2.448 2.404 2.362 4.452 4.329 4.212 4.100 3.993 3.890 3.791 3.696 3.605 3.517 3.433 3.352 3.274 3.199 3.127 3.058 2.991 2.926 2.864 2.803 2.745 2.689 5.242 5.076 4.917 4.767 4.623 4.486 4.355 4.231 4.111 3.998 3.889 3.784 3.685 3.589 3.498 3.410 3.326 3.245 3.167 3.092 3.020 2.951 6.002 5.786 5.582 5.389 5.206 5.033 4.868 4.712 4.564 4.423 4.288 4.160 4.039 3.922 3.812 3.706 3.605 3.508 3.416 3.327 3.242 3.161 6.733 6.463 6.210 5.971 5.747 5.535 5.335 5.146 4.968 4.799 4.639 4.487 4.344 4.207 4.078 3.954 3.837 3.726 3.619 3.518 3.421 3.329 7.435 7.108 6.802 6.515 6.247 5.995 5.759 5.537 5.328 5.132 4.946 4.772 4.607 4.451 4.303 4.163 4.031 3.905 3.786 3.673 3.566 3.463 8.111 7.722 7.360 7.024 6.710 6.418 6.145 5.889 5.650 5.426 5.216 5.019 4.833 4.659 4.494 4.339 4.192 4.054 3.923 3.799 3.682 3.571 10 11 12 13 14 15 8.760 8.306 7.887 7.499 7.139 6.805 6.495 6.207 5.938 5.687 5.453 5.234 5.029 4.836 4.656 4.486 4.327 4.177 4.035 3.902 3.776 3.656 9.385 8.863 8.384 7.943 7.536 7.161 6.814 6.492 6.194 5.918 5.660 5.421 5.197 4.988 4.793 4.611 4.439 4.278 4.127 3.985 3.851 3.725 9.986 9.394 8.853 8.358 7.904 7.487 7.103 6.750 6.424 6.122 5.842 5.583 5.342 5.118 4.910 4.715 4.533 4.362 4.203 4.053 3.912 3.780 10.563 9.899 9.295 8.745 8.244 7.786 7.367 6.982 6.628 6.302 6.002 5.724 5.468 5.229 5.008 4.802 4.611 4.432 4.265 4.108 3.962 3.824 11.118 10.380 9.712 9.108 8.559 8.061 7.606 7.191 6.811 6.462 6.142 5.847 5.575 5.324 5.092 4.876 4.675 4.489 4.315 4.153 4.001 3.859 16 17 18 19 11.652 10.838 10.106 9.447 8.851 8.313 7.824 7.379 6.974 6.604 6.265 5.954 5.668 5.405 5.162 4.938 4.730 4.536 4.357 4.189 4.033 3.887 12.166 11.274 10.477 9.763 9.122 8.544 8.022 7.549 7.120 6.729 6.373 6.047 5.749 5.475 5.222 4.990 4.775 4.576 4.391 4.219 4.059 3.910 12.659 11.690 10.828 10.059 9.372 8.756 8.201 7.702 7.250 6.840 6.467 6.128 5.818 5.534 5.273 5.033 4.812 4.608 4.419 4.243 4.080 3.928 3 5.877 5.584 5.316 5.070 4.843 4.635 4.442 4.263 4.097 3.942 13.590 12.462 11.470 10.594 9.818 9.129 8.514 7.963 7.469 7.025 6.623 6.259 5.929 5.628 5.353 5.101 4.870 4.657 4.460 4.279 4.110 3.954 21 14.029 12.821 11.764 10.836 10.017 9.292 8.649 8.075 7.562 7.102 6.687 6.312 5.973 5.665 5.384 5.127 4.891 4.675 4.476 4.292 4.121 3.963 10.201 9.442 8.7728.176 7.645 7.170 6.743 6.359 6.011 5.696 5.410 5.149 4.909 4.690 4.488 4.302 4. 7 13.489 12.303 11.272 10.371 9.580 8.883 8.266 7.718 7.230 6.792 6.399 6.044 5.723 5.432 5.167 4.! 15.247 13.799 12.550 11.469 10.529 9.707 8.985 8.348 7.784 7.283 6.835 6.434 6.073 5.746 5.451 5.182 4.937 4.713 4.507 4.318 4.143 3.981 3 6.464 6.097 5.766 5.467 5.195 4.948 4.721 4.514 4.323 4.147 3.985 25 26 27 28 29 15.983 14.375 13.003 11.826 10.810 9.929 9.161 8.488 7.896 7.372 6.906 6.491 6.118 5.783 5.480 5.206 4.956 4.728 4.520 4.328 4.151 3.988 16.330 14.643 13.211 11.987 10.935 10.027 9.237 8.548 7.943 7.409 6.935 6.514 6.136 5.798 5.492 5.215 4.964 4.734 4.524 4.332 4.154 3.990 16.663 14.898 13.406 12.137 11.051 10.116 9.307 8.602 7.984 7.441 6.961 6.534 6.152 5.810 5.502 5.223 4.970 4.739 4.528 4.335 4.157 3.992 16.984 15.141 13.591 12.278 11.158 10.198 9.370 8.650 8.022 7.470 6.983 6.551 6.166 5.820 5.510 5.229 4.975 4.743 4.531 4.337 4.159 3.994 17.292 15.372 13.765 12.409 11.258 10.274 9.427 8.694 8.055 7.496 7.003 6.566 6.177 5.829 5.517 5.235 4.97 4.746 4.534 4.339 4.160 3.995 40 19.793 17.159 15.046 13.332 11.925 10.757 9.779 8.951 8.244 7.634 7.105 6.642 6.233 5.871 5.548 5.258 4.997 4.760 4.544 4.347 4.166 3.999
Explanation / Answer
Year
0
1
2
3
4
5
6
cost of machine
-264000
add investment in working capital
-59000
Units sold
13000
18000
20000
22000
22000
22000
selling price per unit
50
50
50
50
50
50
total sales
650000
900000
1000000
1100000
1100000
1100000
less variable cost = units sold*variable cost per cost
455000
630000
700000
770000
770000
770000
less fixed cost- depreciation expense
129000
129000
129000
129000
129000
129000
less advertising expense
133000
133000
68000
58000
58000
58000
1-
operating profit
-67000
8000
103000
143000
143000
143000
add salvage value
24000
recovery of working capital
59000
net operating cash flow
-323000
-67000
8000
103000
143000
143000
226000
present value of cash flow = sum of present value of cash flow
-323000
-57758.6
5945.303
65987.74
78977.63
68084.16
92759.95
2-
Net present value
-69003.8
3-
No he should not accept the device as a project because NPV is negative
Year
0
1
2
3
4
5
6
cost of machine
-264000
add investment in working capital
-59000
Units sold
13000
18000
20000
22000
22000
22000
selling price per unit
50
50
50
50
50
50
total sales
650000
900000
1000000
1100000
1100000
1100000
less variable cost = units sold*variable cost per cost
455000
630000
700000
770000
770000
770000
less fixed cost- depreciation expense
129000
129000
129000
129000
129000
129000
less advertising expense
133000
133000
68000
58000
58000
58000
1-
operating profit
-67000
8000
103000
143000
143000
143000
add salvage value
24000
recovery of working capital
59000
net operating cash flow
-323000
-67000
8000
103000
143000
143000
226000
present value of cash flow = sum of present value of cash flow
-323000
-57758.6
5945.303
65987.74
78977.63
68084.16
92759.95
2-
Net present value
-69003.8
3-
No he should not accept the device as a project because NPV is negative