Discrete Compounding:-9% Single Payment Uniform Series Compound Amount Compound
ID: 2620641 • Letter: D
Question
Discrete Compounding:-9% Single Payment Uniform Series Compound Amount Compound Amount Factor To Find F Given A FIA 1.0000 2.0900 3.2781 4.5731 5.9847 7.5233 9.2004 11.0285 13.0210 Present Worth Factor To Find P Given A Factor To Find A GivenF Capital Recovery Factor To Find A Given P Factor Worth Factor To Find F Given P To Find P Given F 0.9174 1.7591 2.5313 3.2397 3.8897 4.4859 5.0330 5.5348 5.9952 0.9174 0.8417 1.0900 1.1881 1.2950 1.4116 1.5386 1.6771 1.8280 1.9926 2.1719 0.7084 0.6499 0.5963 0.5470 0.5019 0.4604 1.0000 0.4785 0.3051 0.2187 0.1671 0.1329 0.1087 0.0907 0.0768 1.0900 0.5685 0.3951 0.3087 0.2571 0.2229 0.1987 0.1807 0.1668 4 8Explanation / Answer
Device A EOY BTCF d TI T(45%) ATCF P/F,9% PW 0 $ (120,000) (120,000) 1 (120,000.00) 1 (5,000) 24,000 (29,000) 13,050 8,050 0.9174 7,385.07 2 (5,400) 38,400 (43,800) 19,710 14,310 0.8417 12,044.73 3 (5,832) 23,040 (28,872) 12,992 7,160 0.7722 5,529.26 4 (6,299) 13,824 (20,123) 9,055 2,757 0.7084 1,952.77 5 (6,802) 13,824 (20,626) 9,282 2,479 0.6499 1,611.40 6 (7,347) 6,912 (14,259) 6,416 (930) 0.5963 (554.71) PW = (92,031.48) Device B EOY BTCF d TI T(45%) ATCF P/F,9% PW 0 $ (170,000) (170,000) 1 (170,000.00) 1 (3,000) 34,000 (37,000) 16,650 13,650 0.9174 12,522.51 2 (3,240) 54,400 (57,640) 25,938 22,698 0.8417 19,104.91 3 (3,499) 32,640 (36,139) 16,263 12,763 0.7722 9,855.93 4 (3,779) 19,584 (23,363) 10,513 6,734 0.7084 4,770.56 5 (4,081) 19,584 (23,665) 10,649 6,568 0.6499 4,268.54 6 (4,408) 9,792 (14,200) 6,390 1,982 0.5963 1,181.87 PW = (118,295.68) Device A should be selected to maximize after-tax present worth.
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