TopCap Co. is evaluating the purchase of another sewing machine that will be used to manufacture...

 

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TopCap Co. is evaluating the purchase of another sewing machine that will be used to manufacture sport caps. The invoice price of the machine is $123,000. In addition, delivery and installation costs will total $4,000. The machine has the capacity to produce 12,000 dozen caps per year. Sales are forecast to increase gradually, and production volumes for each of the five years of the machine's life are expected to be as follows: Use Table 6-4. (Use appropriate factor(s) from the tables provided. Round the PV factors to 4 decimals.) 2019 3,600 dozen 5,680 dozen 8,500 dozen 11,300 dozen 12,000 dozen 2020 2021 2022 2023 The caps have a contribution margin of $10.00 per dozen. Fixed costs associated with the additional production (other than depreciation expense) will be negligible. Salvage value and the investment in working capital should be ignored. TopCap Co's cost of capital for this capacity expansion has been set at 8%. Required: The caps have a contribution margin of $5.00 per dozen. Fixed costs associated with the additional production (other than depreciation expense) will be negligible. Salvage value and the investment in working capital should be ignored. TopCap Co's cost of capital for this capacity expansion has been set at 16%. Required: a. Calculate the net present value of the proposed investment in the new sewing machine. b. Calculate the present value ratio of the investment. c. What is the internal rate of return of this investment relative to the cost of capital? d. Calculate the payback period of the investment. Complete this question by entering your answers in the tabs below. Required A Required B Required C Required D Calculate the present value ratio of the investment. (Do not round intermediate calculations. Round your answer to 2 decimal places.) Present value ratio < Required A Required C > TABLE 6.4 FACTORS FOR CALCULATING THE PRESENT VALUE OF $1 Discount Rate No. of Periods 2% 4% 6% 8% 10% 12% 14% 16% 18% 20% 1 0.980 0.9615 0.9434 0.9259 0.9091 0.8929 0.8772 0.8621 0.8475 0.8333 0.961 0.9246 0.8900 0.8573 0.8264 0.7972 0.7695 0.7432 0.7182 0.6944 0.942 0.8890 0.8396 0.7938 0.7513 0.7118 0.6750 0.6407 0.6086 0.5787 4 0.924 0.8548 0.7921 0.7350 0.6830 0.6355 0.5921 0.5523 0.5158 0.4823 0.906 0.8219 0.7473 0.6806 0.6209 0.5674 0.5194 0.4761 0.4371 0.4019 0.888 0.7903 0.7050 0.6302 0.5645 0.5066 0.4556 0.4104 0.3704 0.3349 7 0.871 0.7599 0.6651 0.5835 0.5132 0.4523 0.3996 0.3538 0.3139 0.2791 8 0.853 0.7307 0.6274 0.5403 0.4665 0.4039 0.3506 0.3050 0.2660 0.2326 0.837 0.7026 0.5919 0.5002 0.4241 0.3606 0.3075 0.2630 0.2255 0.1938 10 0.820 0.6756 0.5584 0.4632 0.3855 0.3220 0.2697 0.2267 0.1911 0.1615 11 0.804 0.6496 0.5268 0.4289 0.3505 0.2875 0.2366 0.1954 0.1619 0.1346 12 0.788 0.6246 0.4970 0.3971 0.3186 0.2567 0.2076 0.1685 0.1372 0.1122 13 0.773 0.6006 0.4688 0.3677 0.2897 0.2292 0.1821 0.1452 0.1163 0.0935 14 0.758 0.5775 0.4423 0.3405 0.2633 0.2046 0.1597 0.1252 0.0985 0.0779 15 0.743 0.5553 0.4173 0.3152 0.2394 0.1827 0.1401 0.1079 0.0835 0.0649 16 0.728 0.5339 0.3936 0.2919 0.2176 0.1631 0.1229 0.0930 0.0708 0.0541 17 0.714 0.5134 0.3714 0.2703 0.1978 0.1456 0.1078 0.0802 0.0600 0.0451 18 0.700 0.4936 0.3503 0.2502 0.1799 0.1300 0.0946 0.0691 0.0508 0.0376 19 0.686 0.4746 0.3305 0.2317 0.1635 0.1161 0.0829 0.0596 0.0431 0.0313 20 0.673 0.4564 0.3118 0.2145 0.1486 0.1037 0.0728 0.0514 0.0365 0.0261 21 0.660 0.4388 0.2942 0.1987 0.1351 0.0926 0.0638 0.0443 0.0309 0.0217 22 0.647 0.4220 0.2775 0.1839 0.1228 0.0826 0.0560 0.0382 0.0262 0.0181 23 0.634 0.4057 0.2618 0.1703 0.1117 0.0738 0.0491 0.0329 0.0222 0.0151 24 0.622 0.3901 0.2470 0.1577 0.1015 0.0659 0.0431 0.0284 0.0188 0.0126 25 0.610 0.3751 0.2330 0.1460 0.0923 0.0588 0.0378 0.0245 0.0160 0.0105 30 0.552 0.3083 0.1741 0.0994 0.0573 0.0334 0.0196 0.0116 0.0070 0.0042 35 0.500 0.2534 0.1301 0.0676 0.0356 0.0189 0.0102 0.0055 0.0030 0.0017 40 0.453 0.2083 0.0972 0.0460 0.0221 0.0107 0.0053 0.0026 0.0013 0.0007 45 0.410 0.1712 0.0727 0.0313 0.0137 0.0061 0.0027 0.0013 0.0006 0.0003 50 0.372 0.1407 0.0543 0.0213 0.0085 0.0035 0.0014 0.0006 0.0003 0.0001 TopCap Co. is evaluating the purchase of another sewing machine that will be used to manufacture sport caps. The invoice price of the machine is $123,000. In addition, delivery and installation costs will total $4,000. The machine has the capacity to produce 12,000 dozen caps per year. Sales are forecast to increase gradually, and production volumes for each of the five years of the machine's life are expected to be as follows: Use Table 6-4. (Use appropriate factor(s) from the tables provided. Round the PV factors to 4 decimals.) 2019 3,600 dozen 5,680 dozen 8,500 dozen 11,300 dozen 12,000 dozen 2020 2021 2022 2023 The caps have a contribution margin of $10.00 per dozen. Fixed costs associated with the additional production (other than depreciation expense) will be negligible. Salvage value and the investment in working capital should be ignored. TopCap Co's cost of capital for this capacity expansion has been set at 8%. Required: The caps have a contribution margin of $5.00 per dozen. Fixed costs associated with the additional production (other than depreciation expense) will be negligible. Salvage value and the investment in working capital should be ignored. TopCap Co's cost of capital for this capacity expansion has been set at 16%. Required: a. Calculate the net present value of the proposed investment in the new sewing machine. b. Calculate the present value ratio of the investment. c. What is the internal rate of return of this investment relative to the cost of capital? d. Calculate the payback period of the investment. Complete this question by entering your answers in the tabs below. Required A Required B Required C Required D Calculate the present value ratio of the investment. (Do not round intermediate calculations. Round your answer to 2 decimal places.) Present value ratio < Required A Required C > TABLE 6.4 FACTORS FOR CALCULATING THE PRESENT VALUE OF $1 Discount Rate No. of Periods 2% 4% 6% 8% 10% 12% 14% 16% 18% 20% 1 0.980 0.9615 0.9434 0.9259 0.9091 0.8929 0.8772 0.8621 0.8475 0.8333 0.961 0.9246 0.8900 0.8573 0.8264 0.7972 0.7695 0.7432 0.7182 0.6944 0.942 0.8890 0.8396 0.7938 0.7513 0.7118 0.6750 0.6407 0.6086 0.5787 4 0.924 0.8548 0.7921 0.7350 0.6830 0.6355 0.5921 0.5523 0.5158 0.4823 0.906 0.8219 0.7473 0.6806 0.6209 0.5674 0.5194 0.4761 0.4371 0.4019 0.888 0.7903 0.7050 0.6302 0.5645 0.5066 0.4556 0.4104 0.3704 0.3349 7 0.871 0.7599 0.6651 0.5835 0.5132 0.4523 0.3996 0.3538 0.3139 0.2791 8 0.853 0.7307 0.6274 0.5403 0.4665 0.4039 0.3506 0.3050 0.2660 0.2326 0.837 0.7026 0.5919 0.5002 0.4241 0.3606 0.3075 0.2630 0.2255 0.1938 10 0.820 0.6756 0.5584 0.4632 0.3855 0.3220 0.2697 0.2267 0.1911 0.1615 11 0.804 0.6496 0.5268 0.4289 0.3505 0.2875 0.2366 0.1954 0.1619 0.1346 12 0.788 0.6246 0.4970 0.3971 0.3186 0.2567 0.2076 0.1685 0.1372 0.1122 13 0.773 0.6006 0.4688 0.3677 0.2897 0.2292 0.1821 0.1452 0.1163 0.0935 14 0.758 0.5775 0.4423 0.3405 0.2633 0.2046 0.1597 0.1252 0.0985 0.0779 15 0.743 0.5553 0.4173 0.3152 0.2394 0.1827 0.1401 0.1079 0.0835 0.0649 16 0.728 0.5339 0.3936 0.2919 0.2176 0.1631 0.1229 0.0930 0.0708 0.0541 17 0.714 0.5134 0.3714 0.2703 0.1978 0.1456 0.1078 0.0802 0.0600 0.0451 18 0.700 0.4936 0.3503 0.2502 0.1799 0.1300 0.0946 0.0691 0.0508 0.0376 19 0.686 0.4746 0.3305 0.2317 0.1635 0.1161 0.0829 0.0596 0.0431 0.0313 20 0.673 0.4564 0.3118 0.2145 0.1486 0.1037 0.0728 0.0514 0.0365 0.0261 21 0.660 0.4388 0.2942 0.1987 0.1351 0.0926 0.0638 0.0443 0.0309 0.0217 22 0.647 0.4220 0.2775 0.1839 0.1228 0.0826 0.0560 0.0382 0.0262 0.0181 23 0.634 0.4057 0.2618 0.1703 0.1117 0.0738 0.0491 0.0329 0.0222 0.0151 24 0.622 0.3901 0.2470 0.1577 0.1015 0.0659 0.0431 0.0284 0.0188 0.0126 25 0.610 0.3751 0.2330 0.1460 0.0923 0.0588 0.0378 0.0245 0.0160 0.0105 30 0.552 0.3083 0.1741 0.0994 0.0573 0.0334 0.0196 0.0116 0.0070 0.0042 35 0.500 0.2534 0.1301 0.0676 0.0356 0.0189 0.0102 0.0055 0.0030 0.0017 40 0.453 0.2083 0.0972 0.0460 0.0221 0.0107 0.0053 0.0026 0.0013 0.0007 45 0.410 0.1712 0.0727 0.0313 0.0137 0.0061 0.0027 0.0013 0.0006 0.0003 50 0.372 0.1407 0.0543 0.0213 0.0085 0.0035 0.0014 0.0006 0.0003 0.0001

Answer rating: 100% (QA)

years a PV factors 4 b PV factors 16 c SALES AMOUNT AT MARGIN 8 d AMOUNT AT MARGIN 5 e P... View the full answer