Determine the present worth of the following cash flows if the interest rate is 4% per year: Year End Cash Flow ($) 0 1 2 3 4 - $11,000 - $23,000 $38,000 $50,000 - $2,000 Discrete Compounding; i = 4% Single Payment Uniform Series Compound Compound Amount Present Amount Factor Worth Factor Factor Present Worth Factor Sinking Fund Capital Recovery Factor Factor To Find F To Find P To Find F To Find P To Find A To Find A Given P Given F Given A Given A Given F Given P N F/P P/F F/A P/A A/F A/P 1 1.0400 0.9615 1.0000 0.9615 1.0000 1.0400 2 1.0816 0.9246 2.0400 1.8861 0.4902 0.5302 3 1.1249 0.8890 3.1216 2.7751 0.3203 0.3603 4 1.1699 0.8548 4.2465 3.6299 0.2355 0.2755 5 1.2167 0.8219 5.4163 4.4518 0.1846 0.2246 6 1.2653 0.7903 6.6330 5.2421 0.1508 0.1908 7 1.3159 0.7599 7.8983 6.0021 0.1266 0.1666 8 1.3686 0.7307 9.2142 6.7327 0.1085 0.1485 9 1.4233 0.7026 10.5828 7.4353 0.0945 0.1345 10 1.4802 0.6756 12.0061 8.1109 0.0833 0.1233 11 1.5395 0.6496 13.4864 8.7605 0.0741 0.1141 12 1.6010 0.6246 15.0258 9.3851 0.0666 0.1066 13 1.6651 0.6006 16.6268 9.9856 0.0601 0.1001 14 1.7317 0.5775 18.2919 10.5631 0.0547 0.0947 15 1.8009 0.5553 20.0236 11.1184 0.0499 0.0899 676222222233245 16 1.8730 0.5339 21.8245 11.6523 0.0458 0.0858 17 1.9479 0.5134 23.6975 12.1657 0.0422 0.0822 18 2.0258 0.4936 25.6454 12.6593 0.0390 0.0790 19 2.1068 0.4746 27.6712 13.1339 0.0361 0.0761 20 2.1911 0.4564 29.7781 13.5903 0.0336 0.0736 21 2.2788 0.4388 31.9692 14.0292 0.0313 0.0713 2.3699 0.4220 34.2480 14.4511 0.0292 0.0692 2.4647 0.4057 36.6179 14.8568 0.0273 0.0673 2.5633 0.3901 39.0826 15.2470 0.0256 0.0656 2.6658 0.3751 41.6459 15.6221 0.0240 0.0640 30 3.2434 0.3083 56.0849 17.2920 0.0178 0.0578 3.9461 0.2534 73.6522 18.6646 0.0136 0.0536 40 4.8010 0.2083 95.0255 19.7928 0.0105 0.0505 5.8412 0.1712 121.0294 20.7200 0.0083 0.0483 50 7.1067 0.1407 152.6671 21.4822 0.0066 0.0466
Determine the present worth of the following cash flows if the interest rate is 4% per year: Year End Cash Flow ($) 0 1 2 3 4 - $11,000 - $23,000 $38,000 $50,000 - $2,000 Discrete Compounding; i = 4% Single Payment Uniform Series Compound Compound Amount Present Amount Factor Worth Factor Factor Present Worth Factor Sinking Fund Capital Recovery Factor Factor To Find F To Find P To Find F To Find P To Find A To Find A Given P Given F Given A Given A Given F Given P N F/P P/F F/A P/A A/F A/P 1 1.0400 0.9615 1.0000 0.9615 1.0000 1.0400 2 1.0816 0.9246 2.0400 1.8861 0.4902 0.5302 3 1.1249 0.8890 3.1216 2.7751 0.3203 0.3603 4 1.1699 0.8548 4.2465 3.6299 0.2355 0.2755 5 1.2167 0.8219 5.4163 4.4518 0.1846 0.2246 6 1.2653 0.7903 6.6330 5.2421 0.1508 0.1908 7 1.3159 0.7599 7.8983 6.0021 0.1266 0.1666 8 1.3686 0.7307 9.2142 6.7327 0.1085 0.1485 9 1.4233 0.7026 10.5828 7.4353 0.0945 0.1345 10 1.4802 0.6756 12.0061 8.1109 0.0833 0.1233 11 1.5395 0.6496 13.4864 8.7605 0.0741 0.1141 12 1.6010 0.6246 15.0258 9.3851 0.0666 0.1066 13 1.6651 0.6006 16.6268 9.9856 0.0601 0.1001 14 1.7317 0.5775 18.2919 10.5631 0.0547 0.0947 15 1.8009 0.5553 20.0236 11.1184 0.0499 0.0899 676222222233245 16 1.8730 0.5339 21.8245 11.6523 0.0458 0.0858 17 1.9479 0.5134 23.6975 12.1657 0.0422 0.0822 18 2.0258 0.4936 25.6454 12.6593 0.0390 0.0790 19 2.1068 0.4746 27.6712 13.1339 0.0361 0.0761 20 2.1911 0.4564 29.7781 13.5903 0.0336 0.0736 21 2.2788 0.4388 31.9692 14.0292 0.0313 0.0713 2.3699 0.4220 34.2480 14.4511 0.0292 0.0692 2.4647 0.4057 36.6179 14.8568 0.0273 0.0673 2.5633 0.3901 39.0826 15.2470 0.0256 0.0656 2.6658 0.3751 41.6459 15.6221 0.0240 0.0640 30 3.2434 0.3083 56.0849 17.2920 0.0178 0.0578 3.9461 0.2534 73.6522 18.6646 0.0136 0.0536 40 4.8010 0.2083 95.0255 19.7928 0.0105 0.0505 5.8412 0.1712 121.0294 20.7200 0.0083 0.0483 50 7.1067 0.1407 152.6671 21.4822 0.0066 0.0466
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Determine the present worth of the following cash flows if the interest rate is 4% per year:
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