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 $121,500. In addition, delivery and installation costs will total $6,000. 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 below. (Use appropriate factor(s) from the tables provided. Round the PV factors to 4 decimals.)

2019	3,600	dozen
2020	5,600	dozen
2021	8,500	dozen
2022	11,300	dozen
2023	12,000	dozen

The caps have a contribution margin of $9.00 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:

1. Calculate the net present value of the proposed investment in the new sewing machine.
2. Calculate the present value ratio of the investment.
3. What is the internal rate of return of this investment relative to the cost of capital?
4. Calculate the payback period of the investment.

Discount Rate No. of Periods 2% 4% 6% 8% 10% 12% 14% 16% 18% 20% 1 2 3 4 5 0.980 0.961 0.942 0.924 0.906 0.9615 0.9246 0.8890 0.8548 0.8219 0.9434 0.8900 0.8396 0.7921 0.7473 0.9259 0.8573 0.7938 0.7350 0.6806 0.9091 0.8264 0.7513 0.6830 0.6209 0.8929 0.7972 0.7118 0.6355 0.5674 0.8772 0.7695 0.6750 0.5921 0.5194 0.8621 0.7432 0.6407 0.5523 0.4761 0.8475 0.7182 0.6086 0.5158 0.4371 0.8333 0.6944 0.5787 0.4823 0.4019 6 7 8 9 0.888 0.871 0.853 0.837 0.820 0.7903 0.7599 0.7307 0.7026 0.6756 0.7050 0.6651 0.6274 0.5919 0.5584 0.6302 0.5835 0.5403 0.5002 0.4632 0.5645 0.5132 0.4665 0.4241 0.3855 0.5066 0.4523 0.4039 0.3606 0.3220 0.4556 0.3996 0.3506 0.3075 0.2697 0.4104 0.3538 0.3050 0.2630 0.2267 0.3704 0.3139 0.2660 0.2255 0.1911 0.3349 0.2791 0.2326 0.1938 0.1615 10 11 12 13 14 15 0.804 0.788 0.773 0.758 0.743 0.6496 0.6246 0.6006 0.5775 0.5553 0.5268 0.4970 0.4688 0.4423 0.4173 0.4289 0.3971 0.3677 0.3405 0.3152 0.3505 0.3186 0.2897 0.2633 0.2394 0.2875 0.2567 0.2292 0.2046 0.1827 0.2366 0.2076 0.1821 0.1597 0.1401 0.1954 0.1685 0.1452 0.1252 0.1079 0.1619 0.1372 0.1163 0.0985 0.0835 0.1346 0.1122 0.0935 0.0779 0.0649 16 17 18 19 20 0.728 0.714 0.700 0.686 0.673 0.5339 0.5134 0.4936 0.4746 0.4564 0.3936 0.3714 0.3503 0.3305 0.3118 0.2919 0.2703 0.2502 0.2317 0.2145 0.2176 0.1978 0.1799 0.1635 0.1486 0.1631 0.1456 0.1300 0.1161 0.1037 0.1229 0.1078 0.0946 0.0829 0.0728 0.0930 0.0802 0.0691 0.0596 0.0514 0.0708 0.0600 0.0508 0.0431 0.0365 0.0541 0.0451 0.0376 0.0313 0.0261 21 22 23 24 25 0.660 0.647 0.634 0.622 0.610 0.4388 0.4220 0.4057 0.3901 0.3751 0.2942 0.2775 0.2618 0.2470 0.2330 0.1987 0.1839 0.1703 0.1577 0.1460 0.1351 0.1228 0.1117 0.1015 0.0923 0.0926 0.0826 0.0738 0.0659 0.0588 0.0638 0.0560 0.0491 0.0431 0.0378 0.0443 0.0382 0.0329 0.0284 0.0245 0.0309 0.0262 0.0222 0.0188 0.0160 0.0217 0.0181 0.0151 0.0126 0.0105 30 35 40 45 50 0.552 0.500 0.453 0.410 0.372 0.3083 0.2534 0.2083 0.1712 0.1407 0.1741 0.1301 0.0972 0.0727 0.0543 0.0994 0.0676 0.0460 0.0313 0.0213 0.0573 0.0356 0.0221 0.0137 0.0085 0.0334 0.0189 0.0107 0.0061 0.0035 0.0196 0.0102 0.0053 0.0027 0.0014 0.0116 0.0055 0.0026 0.0013 0.0006 0.0070 0.0030 0.0013 0.0006 0.0003 0.0042 0.0017 0.0007 0.0003 0.0001 Discount Rate No. of Periods 2% 4% 6% 8% 10% 12% 14% 16% 18% 20% 1 2 3 4 5 0.980 0.961 0.942 0.924 0.906 0.9615 0.9246 0.8890 0.8548 0.8219 0.9434 0.8900 0.8396 0.7921 0.7473 0.9259 0.8573 0.7938 0.7350 0.6806 0.9091 0.8264 0.7513 0.6830 0.6209 0.8929 0.7972 0.7118 0.6355 0.5674 0.8772 0.7695 0.6750 0.5921 0.5194 0.8621 0.7432 0.6407 0.5523 0.4761 0.8475 0.7182 0.6086 0.5158 0.4371 0.8333 0.6944 0.5787 0.4823 0.4019 6 7 8 9 0.888 0.871 0.853 0.837 0.820 0.7903 0.7599 0.7307 0.7026 0.6756 0.7050 0.6651 0.6274 0.5919 0.5584 0.6302 0.5835 0.5403 0.5002 0.4632 0.5645 0.5132 0.4665 0.4241 0.3855 0.5066 0.4523 0.4039 0.3606 0.3220 0.4556 0.3996 0.3506 0.3075 0.2697 0.4104 0.3538 0.3050 0.2630 0.2267 0.3704 0.3139 0.2660 0.2255 0.1911 0.3349 0.2791 0.2326 0.1938 0.1615 10 11 12 13 14 15 0.804 0.788 0.773 0.758 0.743 0.6496 0.6246 0.6006 0.5775 0.5553 0.5268 0.4970 0.4688 0.4423 0.4173 0.4289 0.3971 0.3677 0.3405 0.3152 0.3505 0.3186 0.2897 0.2633 0.2394 0.2875 0.2567 0.2292 0.2046 0.1827 0.2366 0.2076 0.1821 0.1597 0.1401 0.1954 0.1685 0.1452 0.1252 0.1079 0.1619 0.1372 0.1163 0.0985 0.0835 0.1346 0.1122 0.0935 0.0779 0.0649 16 17 18 19 20 0.728 0.714 0.700 0.686 0.673 0.5339 0.5134 0.4936 0.4746 0.4564 0.3936 0.3714 0.3503 0.3305 0.3118 0.2919 0.2703 0.2502 0.2317 0.2145 0.2176 0.1978 0.1799 0.1635 0.1486 0.1631 0.1456 0.1300 0.1161 0.1037 0.1229 0.1078 0.0946 0.0829 0.0728 0.0930 0.0802 0.0691 0.0596 0.0514 0.0708 0.0600 0.0508 0.0431 0.0365 0.0541 0.0451 0.0376 0.0313 0.0261 21 22 23 24 25 0.660 0.647 0.634 0.622 0.610 0.4388 0.4220 0.4057 0.3901 0.3751 0.2942 0.2775 0.2618 0.2470 0.2330 0.1987 0.1839 0.1703 0.1577 0.1460 0.1351 0.1228 0.1117 0.1015 0.0923 0.0926 0.0826 0.0738 0.0659 0.0588 0.0638 0.0560 0.0491 0.0431 0.0378 0.0443 0.0382 0.0329 0.0284 0.0245 0.0309 0.0262 0.0222 0.0188 0.0160 0.0217 0.0181 0.0151 0.0126 0.0105 30 35 40 45 50 0.552 0.500 0.453 0.410 0.372 0.3083 0.2534 0.2083 0.1712 0.1407 0.1741 0.1301 0.0972 0.0727 0.0543 0.0994 0.0676 0.0460 0.0313 0.0213 0.0573 0.0356 0.0221 0.0137 0.0085 0.0334 0.0189 0.0107 0.0061 0.0035 0.0196 0.0102 0.0053 0.0027 0.0014 0.0116 0.0055 0.0026 0.0013 0.0006 0.0070 0.0030 0.0013 0.0006 0.0003 0.0042 0.0017 0.0007 0.0003 0.0001