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Period 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 25 30 40 50 2% 3% 4% 5% 6% 8% 10% 11% 12% 0.9804 0.9709 0.9615 0.9524 0.9434 0.9346 0.9259 0.9174 0.9091 0.9009 0.8929 1.8334 1.8080 1.7833 1.7591 1.7355 1.7125 1.6901 2.5771 2.5313 2.4869 2.4437 2.4018 2.6243 3.3872 3.3121 3.1024 3.0373 2.9745 1.9416 1.9135 1.8861 1.8594 2.8839 2.8286 2.7751 2.7232 3.8077 3.7171 3.6299 3.5459 4.7134 4.5797 4.4518 4.3295 5.2421 5.0757 6.0021 5.7864 6.7327 6.4632 3.2397 3.1699 3.8897 3.7908 4.4859 4.3553 3.6959 3.6048 3.5172 5.6014 5.4172 6.4720 6.2303 4.2305 4.1114 3.9975 4.7122 4.5638 4.4226 5.1461 4.9676 4.7988 7.3255 7.0197 8.1622 5.5370 5.3282 5.1317 5.6869 5.9176 2.6730 3.4651 4.2124 4.1002 3.9927 4.9173 4.7665 4.6229 5.5824 5.3893 5.2064 6.2098 5.9713 5.7466 7.7861 7.4353 7.1078 6.8017 6.5152 6.2469 8.9826 8.5302 8.1109 7.7217 7.3601 7.0236 6.7101 9.7868 9.2526 8.7605 8.3064 7.8869 7.4987 7.1390 10.5753 9.9540 9.3851 8.8632 8.3838 7.9427 7.5361 11.3483 10.6350 9.9856 9.3936 8.8527 8.3576 7.9038 12.1062 11.2961 10.5631 9.8986 9.2950 8.7455 8.2442 12.8492 11.937,9 11.1184 10.3796 9.7122 9.1079 8.5595 13.5777 12.5611 11.6523 10.8378 10.1059 9.4466 8.8514 12.1657 11.2741 10.4773 9.7632 9.1216 14.9920 13.7535 12.6593 11.6896 10.8276 10.0591 9.37 19 15.6784 14.3238 13.1339 12.0853 11.1581 10.3356 9.6036 16.3514 14.8775 13.5903 12.4622 11.4699 10.5940 9.8181 19.5234 17.4131 15.6221 14.0939 12.7834 11.6536 10.6748 22.3964 19.6004 17.2920 15.3724 13.7648 12.4090 11.2578 27.3554 23.1148 19.7928 17.1591 15.0463 13.3317 11.9246 6.1218 5.0330 4.8684 5.5348 5.3349 5.9952 5.7590 6.4177 6.1446 5.8892 5.6502 5.4262 6.8052 6.4951 6.2065 5.9377 7.1607 6.8137 6.4924 6.1944 7.4869 7.1034 6.7499 6.4235 7.7862 7.3667 6.9819 6.6282 6.3025 8.0607 7.6061 7.1909 6.8109 6.4624 8.3126 7.8237 7.3792 6.9740 8.5436 8.0216 7.5488 7.1196 6.7291 8.7556 8.2014 7.7016 7.2497 6.8399 8.9501 8.3649 7.8393 7.3658 6.9380 9.1285 8.5136 7.9633 7.4694 7.0248 9.8226 9.0770 8.4217 7.8431 7.3300 10.2737 9.4269 8.6938 8.0552 7.4957 10.7574 9.7790 8.9511 8.2438 7.6344 6.6039 14.2918 13.1661 31.4236 25.7298 21.4822 18.2559 15.7619 13.8007 12.2335 10.9617 9.9148 90417 8.3045 7.6752 Amount of annuity expected $ 870 Complete the following for the present value of an ordinary annuity. (Use Table 13.2.) (Do not round intermediate calculations. Round your answer to the nearest cent.) Payment Annually Time 7% 4 years Interest rate 9% 6% 13% 0.8850 1.6681 2.3612 Present value (amount needed now to invest to receive annuity) I I I I I I I I

Period 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 25 30 40 50 2% 3% 4% 5% 6% 8% 10% 11% 12% 0.9804 0.9709 0.9615 0.9524 0.9434 0.9346 0.9259 0.9174 0.9091 0.9009 0.8929 1.8334 1.8080 1.7833 1.7591 1.7355 1.7125 1.6901 2.5771 2.5313 2.4869 2.4437 2.4018 2.6243 3.3872 3.3121 3.1024 3.0373 2.9745 1.9416 1.9135 1.8861 1.8594 2.8839 2.8286 2.7751 2.7232 3.8077 3.7171 3.6299 3.5459 4.7134 4.5797 4.4518 4.3295 5.2421 5.0757 6.0021 5.7864 6.7327 6.4632 3.2397 3.1699 3.8897 3.7908 4.4859 4.3553 3.6959 3.6048 3.5172 5.6014 5.4172 6.4720 6.2303 4.2305 4.1114 3.9975 4.7122 4.5638 4.4226 5.1461 4.9676 4.7988 7.3255 7.0197 8.1622 5.5370 5.3282 5.1317 5.6869 5.9176 2.6730 3.4651 4.2124 4.1002 3.9927 4.9173 4.7665 4.6229 5.5824 5.3893 5.2064 6.2098 5.9713 5.7466 7.7861 7.4353 7.1078 6.8017 6.5152 6.2469 8.9826 8.5302 8.1109 7.7217 7.3601 7.0236 6.7101 9.7868 9.2526 8.7605 8.3064 7.8869 7.4987 7.1390 10.5753 9.9540 9.3851 8.8632 8.3838 7.9427 7.5361 11.3483 10.6350 9.9856 9.3936 8.8527 8.3576 7.9038 12.1062 11.2961 10.5631 9.8986 9.2950 8.7455 8.2442 12.8492 11.937,9 11.1184 10.3796 9.7122 9.1079 8.5595 13.5777 12.5611 11.6523 10.8378 10.1059 9.4466 8.8514 12.1657 11.2741 10.4773 9.7632 9.1216 14.9920 13.7535 12.6593 11.6896 10.8276 10.0591 9.37 19 15.6784 14.3238 13.1339 12.0853 11.1581 10.3356 9.6036 16.3514 14.8775 13.5903 12.4622 11.4699 10.5940 9.8181 19.5234 17.4131 15.6221 14.0939 12.7834 11.6536 10.6748 22.3964 19.6004 17.2920 15.3724 13.7648 12.4090 11.2578 27.3554 23.1148 19.7928 17.1591 15.0463 13.3317 11.9246 6.1218 5.0330 4.8684 5.5348 5.3349 5.9952 5.7590 6.4177 6.1446 5.8892 5.6502 5.4262 6.8052 6.4951 6.2065 5.9377 7.1607 6.8137 6.4924 6.1944 7.4869 7.1034 6.7499 6.4235 7.7862 7.3667 6.9819 6.6282 6.3025 8.0607 7.6061 7.1909 6.8109 6.4624 8.3126 7.8237 7.3792 6.9740 8.5436 8.0216 7.5488 7.1196 6.7291 8.7556 8.2014 7.7016 7.2497 6.8399 8.9501 8.3649 7.8393 7.3658 6.9380 9.1285 8.5136 7.9633 7.4694 7.0248 9.8226 9.0770 8.4217 7.8431 7.3300 10.2737 9.4269 8.6938 8.0552 7.4957 10.7574 9.7790 8.9511 8.2438 7.6344 6.6039 14.2918 13.1661 31.4236 25.7298 21.4822 18.2559 15.7619 13.8007 12.2335 10.9617 9.9148 90417 8.3045 7.6752 Amount of annuity expected $ 870 Complete the following for the present value of an ordinary annuity. (Use Table 13.2.) (Do not round intermediate calculations. Round your answer to the nearest cent.) Payment Annually Time 7% 4 years Interest rate 9% 6% 13% 0.8850 1.6681 2.3612 Present value (amount needed now to invest to receive annuity) I I I I I I I I

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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TABLE 13-2 Present value of an annuity of $1 Perlod 2% 3% 5% 6% 7% 8% 9% 10% 11% 12% 1 0.9524 0.9434 0.9346 0.9259 0.9174 0.9091 0.9009 0.8929 2 3 4.5638 4.4226 4.7988 0.9804 0.9709 0.9615 1.9416 1.9135 1.8861 1.8594 1.8334 1.8080 2.8839 2.8286 2.7751 2.7232 2.6730 2.6243 3.8077 3.7171 3.6299 3.5459 3.4651 3.3872 4.7134 4.5797 4.4518 4.3295 4.2124 4.1002 5.6014 5.4172 5.2421 5.0757 4.9173 4.7665 4.6229 6.4720 6.2303 6.0021 5.7864 5.5824 5.3893 5.2064 7.3255 7.0197 6.7327 6.4632 6.2098 5.9713 5.7466 8.1622 7.7861 7.4353 7.1078 6.8017 6.5152 6.2469 8.9826 8.5302 8.1109 7.7217 7.3601 7.0236 9.7868 9.2526 8.7605 8.3064 7.8869 7.4987 10.5753 9.9540 9.3851 8.8632 8.3838 7.9427 11.3483 10.6350 9.9856 9.3936 8.8527 8.3576 12.1062 11.2961 10.5631 9.8986 9.2950 8.7455 7.7862 7.3667 6.9819 6.6282 12.8492 11.937,9 11.1184 10.3796 9.7122 9.1079 8.0607 7.6061 7.1909 6.8109 13.5777 12.5611 11.6523 10.8378 10.1059 9.4466 8.3126 7.8237 7.3792 6.9740 14.2918 13.1661 12.1657 11.2741 10.4773 9.7632 8.5436 8.0216 7.5488 7.1196 14.9920 13.7535 12.6593 11.6896 10.8276 10.0591 8.7556 8.2014 7.7016 7.2497 15.6784 14.3238 13.1339 12.0853 11.1581 10.3356 8.9501 8.3649 7.8393 7.3658 16.3514 14.8775 13.5903 12.4622 11.4699 10.5940 9.1285 8.5136 7.9633 7.4694 19.5234 17.4131 15.6221 14.0939 12.7834 11.6536 9.8226 9.0770 8.4217 7.8431 22.3964 19.6004 17.2920 15.3724 13.7648 12.4090 10.2737 9.4269 8.6938 8.0552 27.3554 23.1148 19.7928 17.1591 15.0463 13.3317 10.7574 9.7790 8.9511 8.2438 31.4236 25.7298 21.4822 18.2559 15.7619 13.8007 12.2335 10.9617 9.9148 9.0417 8.3045 7.6752 1.7833 1.7591 1.7355 1.7125 1.6901 2.5771 2.5313 2.4869 2.4437 2.4018 3.3121 3.2397 3.1699 3.1024 3.0373 2.9745 3.9927 3.8897 3.7908 3.6959 3.6048 3.5172 4.4859 4.3553 4.2305 4.1114 3.9975 5.0330 4.8684 4.7122 5.5348 5.3349 5.1461 4.9676 5.9952 5.7590 5.5370 5.3282 5.1317 6.7101 6.4177 6.1446 5.8892 5.6502 5.4262 7.1390 5.6869 7.5361 7.9038 8.2442 8.5595 8.8514 9.1216 9.37 19 9.6036 9.8181 10.6748 11.2578 11.9246 6.8052 6.4951 6.2065 5.9377 7.1607 6.8137 6.4924 6.1944 7.4869 7.1034 6.7499 6.4235 5.9176 6.1218 6.3025 6.4624 6.6039 6.7291 6.8399 6.9380 7.0248 7.3300 7.4957 7.6344 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 25 30 40 50 Amount of annuity expected $ Complete the following for the present value of an ordinary annuity. (Use Table 13.2.) (Do not round intermediate calculations. Round your answer to the nearest cent.) 870 Payment 4% Annually Time 4 years Interest rate 6% 13% 0.8850 1.6681 2.3612 Present value (amount needed now to invest to receive annuity)
Transcribed Image Text:TABLE 13-2 Present value of an annuity of $1 Perlod 2% 3% 5% 6% 7% 8% 9% 10% 11% 12% 1 0.9524 0.9434 0.9346 0.9259 0.9174 0.9091 0.9009 0.8929 2 3 4.5638 4.4226 4.7988 0.9804 0.9709 0.9615 1.9416 1.9135 1.8861 1.8594 1.8334 1.8080 2.8839 2.8286 2.7751 2.7232 2.6730 2.6243 3.8077 3.7171 3.6299 3.5459 3.4651 3.3872 4.7134 4.5797 4.4518 4.3295 4.2124 4.1002 5.6014 5.4172 5.2421 5.0757 4.9173 4.7665 4.6229 6.4720 6.2303 6.0021 5.7864 5.5824 5.3893 5.2064 7.3255 7.0197 6.7327 6.4632 6.2098 5.9713 5.7466 8.1622 7.7861 7.4353 7.1078 6.8017 6.5152 6.2469 8.9826 8.5302 8.1109 7.7217 7.3601 7.0236 9.7868 9.2526 8.7605 8.3064 7.8869 7.4987 10.5753 9.9540 9.3851 8.8632 8.3838 7.9427 11.3483 10.6350 9.9856 9.3936 8.8527 8.3576 12.1062 11.2961 10.5631 9.8986 9.2950 8.7455 7.7862 7.3667 6.9819 6.6282 12.8492 11.937,9 11.1184 10.3796 9.7122 9.1079 8.0607 7.6061 7.1909 6.8109 13.5777 12.5611 11.6523 10.8378 10.1059 9.4466 8.3126 7.8237 7.3792 6.9740 14.2918 13.1661 12.1657 11.2741 10.4773 9.7632 8.5436 8.0216 7.5488 7.1196 14.9920 13.7535 12.6593 11.6896 10.8276 10.0591 8.7556 8.2014 7.7016 7.2497 15.6784 14.3238 13.1339 12.0853 11.1581 10.3356 8.9501 8.3649 7.8393 7.3658 16.3514 14.8775 13.5903 12.4622 11.4699 10.5940 9.1285 8.5136 7.9633 7.4694 19.5234 17.4131 15.6221 14.0939 12.7834 11.6536 9.8226 9.0770 8.4217 7.8431 22.3964 19.6004 17.2920 15.3724 13.7648 12.4090 10.2737 9.4269 8.6938 8.0552 27.3554 23.1148 19.7928 17.1591 15.0463 13.3317 10.7574 9.7790 8.9511 8.2438 31.4236 25.7298 21.4822 18.2559 15.7619 13.8007 12.2335 10.9617 9.9148 9.0417 8.3045 7.6752 1.7833 1.7591 1.7355 1.7125 1.6901 2.5771 2.5313 2.4869 2.4437 2.4018 3.3121 3.2397 3.1699 3.1024 3.0373 2.9745 3.9927 3.8897 3.7908 3.6959 3.6048 3.5172 4.4859 4.3553 4.2305 4.1114 3.9975 5.0330 4.8684 4.7122 5.5348 5.3349 5.1461 4.9676 5.9952 5.7590 5.5370 5.3282 5.1317 6.7101 6.4177 6.1446 5.8892 5.6502 5.4262 7.1390 5.6869 7.5361 7.9038 8.2442 8.5595 8.8514 9.1216 9.37 19 9.6036 9.8181 10.6748 11.2578 11.9246 6.8052 6.4951 6.2065 5.9377 7.1607 6.8137 6.4924 6.1944 7.4869 7.1034 6.7499 6.4235 5.9176 6.1218 6.3025 6.4624 6.6039 6.7291 6.8399 6.9380 7.0248 7.3300 7.4957 7.6344 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 25 30 40 50 Amount of annuity expected $ Complete the following for the present value of an ordinary annuity. (Use Table 13.2.) (Do not round intermediate calculations. Round your answer to the nearest cent.) 870 Payment 4% Annually Time 4 years Interest rate 6% 13% 0.8850 1.6681 2.3612 Present value (amount needed now to invest to receive annuity)
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