You have been offered an opportunity to receive $1,100 at the end of two years. You can earn a 2% rate of return on your next-best alternative investment. How much are you willing to invest/deposit today (t = 0) to have the opportunity to receive $1,100 at the end of two years, given that your interest rate is 2%? Draw a timeline to illustrate the problem. Interest is compounded annually. (Click the icon to view the Future Value of $1 table.) (Click the icon to view the Present Value of $1 table.) (Click the icon to view the Future Value of an Ordinary Annuity table.) (Click the icon to view the Present Value of an Ordinary Annuity table.) (Click the icon to view the Future Value of an Annuity Due table.) (Click the icon to view the Present Value of an Annuity Due table.) What is the present value of your investment? (Use the present value and future value tables, a financial calculator, a spreadsheet or the formula method for your calculations. If using present and future value tables or the formula method, use factor amounts rounded to five decimal places, X.XXXXX. Round your final answer to the nearest cent, $X.XX.) The present value of your investment is Select the timeline that illustrates the facts presented. . $1.100 FV=X $1,100 t=0 OB. Compounding (Accumulating) 2% PV = $1,100 FV=X t=0 t=2 OC. $1,100 $1,100 PV = X H t=0 OD Discounting 2% PV = X FV = $1,100 t=0 t=2 X U Future Value of $1 4.33452 Future Value of $1 Periods 1% 29 3% 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 15% 16% 17% 18% 19% 20% Periods Period 1 1.01000 1.02000 1.03000 1.04000 1.05000 1.06000 1.07000 1.08000 1.09000 1.10000 1.11000 1.120001 1.130001 1.140001 1.150001 1.16000 1.17000 1.180001 1.19000 1.20000 Period 1 Period 21.02010 1.04040 1.06090 1.08160 1.10250 1.12360 1.14490 1.16640 1.18810 1.21000 1.23210 1.25440 1.27690 1.29960 1.32250 1.34560 1.36890 1.39240 1.41610 1.44000 Period 2 Period 3 1.03030 1.06121 1.09273 1.12486 1.15763 1.19102 1.22504 1.25971 1.29503 1.33100 1.36763 1.40493 1.442901 1.48154 1.52088 1.56090 1.60161 1.64303 1.68516 1.72800 Period 3 Period 41.04060 1.08243 1.12551 1.16986 1.21551 1.26248 1.31080 1.36049 1.41158 1.46410 1.51807 1.57352 1.63047 1.68896 1.749011 1.81064 1.87389 1.93878 2.00534 2.07360) Period 4 Period 5 1.051011 1.10408 1.15927 1.21665 1.27628| 1.33823 1.40255 1.46933 1.53862 1.61051 1.68506 1.76234 1.84244 1.92541 2.011361 2.10034 2.19245 2.28776 2.386351 2.48832 Period 5 Period 61.06152 1.126161.19405 1.26532 1.34010 1.41852 1.50073 1.58687 1.67710 1.77156 1.87041 1.97382 2.081951 2.19497 2.31306 2.43640 256516 2.699550 2.83976 2.98598 Period 6 Period 7 1.07214 1.14869 1.22987 1.31593 1.40710 1.50363 1.60578 1.71382 1.82804 1.94872 2.07616 2.21068 2.352611 2.50227 2.66002 2.82622 3.00124 3.18547 3.37932 3.58318 Period 7 Period 8 1.08286 1.17166 1.26677 1.36857 1.47746 1.59385 1.71819 1.85093 1.85093 1.99256 2.14359 2.30454 2.47596 | 2.658441 2.85259 3.05902 3.27841 3.51145 3.758361 4.02139 4.29982) Period 8 Period 91.09369 1.19509 1.30477 1.42331 1.55133 1.68948 1.83846 1.99900 2.17189 2.35795 2.55804 2.77308 3.00404 3.251951 3.517881 3.80296 4.10840 4.43545 4.785451 5.15978 Period 9 Period 101.10462 1.21899 1.34392 1.48024 1.62889 1.79085 1.96715 2.15892 2.36736 2.59374 2.83942 3.10585 3.39457 3.707221 4.04556 4.41144 4.80683 5.23384 5.69468 6.19174 Period 10 Period 111.11567 1.24337| 1.38423 1.53945 1.71034 1.89830 2.10485 2.33164 2.58043 2.85312 3.15176 3.47855) 3.835861 4.22623 4.652391 5.11726 5.62399 6.17593 6.77667 7.43008 Period 11 Period 12 1.12683 1.26824 1.42576 1.60103 1.79586 2.01220 2.25219 2.51817 2.81266 3.13843 3.49845 3.89598 4.81790 5.35025 5.93603 6.58007 7.28759 8.06424 8.91610 Period 12 Period 131.13809 1.29361 1.46853 1.66507 1.88565 2.13293 2.40985 2.71962 3.06580 3.45227 3.88328 4.36349 4.89801 5.49241 6.15279 6.88579 7.69868 8.59936 ) 9.59645 10.69932 Period 13 Period 14 1.14947 1.31948 1.51259 1.73168 1.97993 2.26090 2.57853 2.93719 3.34173 3.79750 431044 4.88711 5.53475 6.26135 7.07571 7.98752 9.00745 10.14724 11.41977 12.83918 Period 14 Period 15 1.16097| 1.34587 1.55797 1.80094 2.07893 2.39656 2.75903 3.17217 3.64248 4.17725 478459 5.47357 6.25427 7.13794 8. 13706 9.26552 10.53872 11.97375 13.58953 15.40702 Period 15 Period 161.17258 1.37279 1.60471 1.87298 2.18287 2.54035 2.95216 3.42594 3.97031 4.59497 5.31089 6.13039 7.06733 8.137251 9.35762 10.74800 12.33030 14.12902 16.17154 18.48843 Period 16 Period 171.18430 1.40024 1.65285 1.94790 2.292021 2.69277 3.15882 3.70002 4.32763 5.05447 5.89509 6.86604 7.98608 9.276461 10.76126 12.46768 14.42646 16.67225 19.24413 22.18611 Period 17 Period 18 1.19615 1.42825 1.70243 2.02582 2.40662) 2.85434 3.37993 3.99602 4.71712 5.55992 6.54355 7.68997 9.02427 10.57517 12.37545 14.46251 16.87895 19.67325 22.900521 26.62333 Period 18 Period 19 1.20811 1.45681 1.75351 2.10685 2.52695 3.02560 3.61653 4.31570 5.141666.11591 7.26334 8.61276 10.19742 12.05569 14.23177 16.776521 19.74838 23.21444 27 25162 31.94800 Period 19 Period 20 1.22019 1.48595 1.80611 2.19112 2.65330 3.20714 3.86968 4.66096 5.60441 6.72750 8.06231 9.64629 11.52309 13.74349 16.36654 19.46076 23.10560 27.39303 32.42942 38.33760 Period 20 Period 25 1.28243 1.64061 2.09378 2.66584 3.38635 429187 5.42743 6.84848 8.62308 10.83471 13.58546 17.00006 21.23054 26.46192 32.918951 40.87424 50.65783 62.66863 77 38807 95.39622 Period 25 Period 301.34785 1.81136 2.42726 3.24340 4.32194 5.74349 7.61226 10.06266 13.26768 17.44940 22.89230 29.95992 39.11590 50.9501666.21177 85.84988 111.06455 143.37064 184.67531 237.37631 Period 30 Period 35 1.41660 1.99989 2.81386 3.94609 5.51602 7.68609 10.67658 14.78534 20.41397 28.10244 38.57485 52.79962| 72.06851 98.10018 133.17552 180.31407 243.50347 327.99729 440.70061 590.66823 Period 35 Period 401.48886 2.20804 3.26204 4.80102 7.0399910.28572 14.97446 21.72452 31.40942 45.25926 65.00087 93.05097 132.78155 188.88351 267.86355 378.72116 533.86871 750.37834 1,051.66751 1,469.77157 Period 40 Period 45 1.56481 2.43785 3.78160 5.84118 8.98501 13.76461 21.00245 31.92045 48.32729 72.89048/109.53024163.98760 244.64140 363.67907 538.76927 795.44383 1,170.47941 1,716.68388 2,509.65060 3,657.26199 Period 45 Period 50 1.64463 2.69159 4.38391 7.10668 11.46740 18.42015 29.45703 46.90161 74.35752 117.3908518456483289.00219 450.73593 700.232991,083.657441,670.70380 2,566.21528 3,927.35686 5,988.91390 9,100.43815 Period 50 Period 60 1.81670 3.28103 5.8916010.51963 18.6791932.98769 57.94643101.25706 176.03129304.48164524.05724897.59693 1,530.05347|2,595.91866|4,383.998757,370.2013712,335.3564820,555.1399734, 104.9709256,347.51435 Period 60 Periods 1% 2% 39 4% 5% 6% % 7 8% 99% 10% 11% 12% 13% 14% 15% 16% 17% 18% 19% 20% Periods Future Value of an Ordinary Annuity - 4.70973 4.92114 5.06650 7.33593/ Future Value of an Ordinary Annuity Periods 1% 20 3% 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 15% 16% 17% 18% 19% 20% Periods Period 11.00000 1.00000 1.00000 100000 1.00000 1.00000 1.000000 1.000000 1.000000 1.00000 1.00000 1.00000 1.000001 1.00000 1.000000 1.00000 1.00000 1.00000 1.00000 1.00000 Period 1 Period 22.01000 2.02000 2.03000 2.04000 2.05000 2.06000 2.07000 2.080001 2.09000 2.100001 2.11000 2120001 2.13000 2.140001 2.15000 2.16000 2.170001 2. 18000 2.19000 2.20000 Period 2 Period 33.03010 3.06040 3.09090 3.12160 3.15250 3.18360 3.21490 3.24640 3.27810 3.31000 3.34210 3.374401 3.40690 3.43960 3.472501 3.505601 3.53890 3.57240 3.606101 3.64000 Period 3 Period 4 | 4.06040 412161 4.18363 4.24646 4.31013| 437462 4.43994 4.50611 4.573131 4.64100 4.77933 4.849801 4.99338 5.14051 5.21543 5.29126 5.36800 Period 4 Period 55.10101 5.20404 5.30914 5.41632 5.52563 5.63709 5.75074 5.866601 5.984711 6.10510 6.227801 6.35285 6.480271 6.61010 6.742381 6.87714 7.014401 7.15421 7.296601 7.44160 Period 5 Period 66.15202 6.30812 6.468416.63298 6.80191 6.97532 7.15329 7.52333 7.715611 7.91286 8.115191 8.32271 8.535521 8.75374 8.977481 9.206851 9.44197 9.68295 9.92992 Period 6 Period 77.21354 7.43428 7.66246 7.89829 8.14201 8.39384 8.65402 8.92280 9.20043 9.487171 9.78327 10.08901 10.40466 10.73049 11.06680 11.41387 11.77201 12.14152 12.52271 12.91590 Period 7 Period 8 8.28567 8.58297 8.89234 9.21423 9.54911 9.89747 10.25980 10.63663 11.02847 11.43589 11.85943 12.29969 12.75726 13.23276 13.72682 14.24009 14.77325 15.32700 15.90203 16.49908 Period 8 Period 99.36853 9.75463 10.15911 10.58280 11.02656 11.49132 11.97799 12.48756 13.02104 13.57948 14 163971 14.77566 15.41571 16.08535 16.78584 17.51851 18.28471 19.08585 19.92341 20.79890 Period 9 Period 10 10.46221 10.9497211.46388 12.00611 12.57789 13.18079 13.81645 14.48656 15.19293 15.19293 15.93742 16.722011 17.54874 18.41975 19.33730 20.303721 21.321471 22.39311 23.52131 24.70886 25.95868 Period 10 Period 11 11.56683 12.16872 12.80780 13.48635 14 20679 14.97164 15.78360 16.64549 17.56029 18.53117 19.56143 20.65458 21.814321 23.04452 24.34928 25.73290 27.19994 28.755141 30.40355 32.15042 Period 11 Period 12 12.68250 13.41209 14.19203 15.02581 15.91713 16.86994 17.88845 18.9771320.14072 20.14072 21.38428 22.71319 24.13313 25.65018 27.27075 29.00167 30.85017 32.82393 34.93107 37.180221 39.58050 Period 12 Period 1313.80933 14.68033 15.61779 16.62684 17.71298 18.88214 20.14064 21.49530 22.95338 22.95338 2452271 26.21164 28.02911 29.98470 32.08865 34.35192 36.78620 39.40399 42.21866 45.24446 48.49660 Period 13 Period 141494742 15.97394 17.08632 18.29191 19.59863 21.01507 22.55049 24.21492 26.01919 26.01919 27.97498 30.09492 30.09492 32.39260 34.88271 37.58107 40.50471 43.671991 47.10267 50.81802 54.84091 59.19592 Period 14 Period 15 16.09690 17.29342 18.59891 20.02359 21.57856 23.27597 25.12902 27.15211 29.36092 31.77248 34.40536 37 27971 40.41746 43.84241 47.58041 51.65951 56.11013 60.96527 66.26068 72.03511 Period 15 Period 1617.25786 18.63929 20.15688 21.82453 23.65749 25.67253 27.88805 30.32428 33.00340 33.00340 35.94973 39.18995 42.75328 46.67173 50.980351 55.71747 60.92503 72.93901 79.85021 87.44213 Period 16 Period 1718.43044 20.01207| 21.76159 23.69751 25.84037 28.21288 30.84022 33.750231 36.9737040.54470 44.50084 48.88367 53.73906 59.11760 65.07509 71.67303 78.97915 87.06804 96.02175 105.93056 Period 17 Period 18 19.61475 21.41231 23.41444 25.64541 28.13238 30.90565 33.99903 37.45024 41.30134 45.59917 50.39594 55.74971 61.72514 68.39407 75.83636 84.14072 93.405611 103.740281 115.26588 128.11667 Period 18 Period 1920.81090 22.84056 25.11687 27.67123 30.53900 33.75999 37.37896 41.44626 46.01846 51.15909 56.93949 63.43968 70.74941 78.96923 88.21181 98.60323 110.28456 123.41353 138.16640 154 74000 Period 19 Period 2022.01900 24.29737 26.87037 29.77808 33.06595 36.78559| 40.99549 45.761961 51.16012 51.16012 57.275001 64.20283 72.05244 80.946831 91.02493 102.44358 115.37975 130.03294 146.627971 165.418021 186.68800 Period 20 Period 25 28.24320 32.03030 36.45926 41.64591 47.72710 54.86451 63.24904 73.10594 84.70090 98.34706 114 41331 133.33387 155.61956 181.87083 212.79302 249.21402 292.10486 342.60349 402.04249 471.98108 Period 25 Period 30 34.73489 40.56808 47.57542 56.08494 66.43885 79.05819 94.46079 113.28321 136.30754 164 49402 199.02088 24133258 293.19922 356.78685 434.74515 530.31173 647.43912 790.94799 966.71217 1,181.88157 Period 30 Period 3541.66028 49.99443 60.46208) 73.65222 9032031 111.43478 13.23688 172.31680 215.71075 271.02437 341.58955 431.66350546.68082 693.57270 881.17016 1,120.71295 1,426.49102 1,816.65161 2,31421372 2948.34115 Period 35 Period 4048.88637 60.40198 75.40126 95.02552 120.79977154.76197 199.63511 259.05652 337.88245 442.59256 581.82607 767 09142 1,013.70424 1,342.02510 1,779.09031 2,360.75724 3,134.52184 4,163.21303 5,529.82898 7,343.85784 Period 40 Period 4556.48107 71.89271 92.71986 121.02939159.70016212.74351 285.74931 386.50562 525.85873 718.90484 986.638561,358.23003 1,874.16463 2,590.56480 3,585.12846 4,965.27391 6,879.29065 9,531.57711 13,203.42423 18,281.30994 Period 45 Period 5054.46318 34.57940112.79687152.66708 209.34800290.33590406.52893 573.77016815.083561,163.908531,668.771152,400.01825 3,459.50712 4,994.52135 7,217.7162810,435.6487715,089.50167 21,813.09367 31,515.33633 45,497.19075 Period 50 Period 6031.66967 114.05154 163.05344237.99069 353.58372533.12818 813.520381,253.213301,944.792133,034.81640|4,755.065847,471.64111 11,761.94979/18,535.1332829,219.99164 46,057.5085372,555.03813 114,189.66648 179,494.58379281,732.57177) Period 60 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 15% 16% 17% 18% 19% 20% Periods 66.64885 Periods Future Value of an Annuity Due 2.60610 28.00167 Future Value of an Annuity Due Periods 1% 2% 3% 4% 5% 6% 7961 8% 9% 10% 11% 12% 13% 14% 15% 16% 17% 18% 19% 20% Periods Period 11.01000 1.02000 103000 1.04000 1.05000 1.06000 1.07000 1.08000 1.09000 1.100001 1.11000 1.120001 1.13000 1.14000 1.15000 1.160001 1.170001 1.18000 1.19000 1.20000 Period 1 Period 2 2.03010 2.06040 2.09090 212160 2.15250 2.18360 2.21490 2.24640 2.27810 2.31000 2.34210 2.37440 2.406901 2.43960 2.47250 2.505601 2.53890 2.57240 2.64000 Period 2 Period 3 3.06040 3.12161 3.18363 3.24646 3.31013 3.37462 3.43994 3.50611 3.57313 3.64100 3.70973 3.779331 3.84980 3.92114 3.99338 4.06650 4.14051 4.21543 4.29126 4.36800 Period 3 Period 4 4.10101 4.20404 4.30914 4.41632) 4.52563 4.63709 4.75074 4.866601 4.98471 5.10510 5.22780 5.35285 5.48027 5.610101 5.74238 5.877141 6.01440) 6.15421 6.29660 6.44160 Period 4 Period 5 5.15202 5.30812 5.46841 5.63298 5.80191 5.97532 6.15329 6.33593 6.52333 6.71561 6.91286 7.11519 7.32271 7.53552 7.753741 7.977481 8.20685 8.44197 8.68295 8.92992 Period 5 Period 6 6.21354 6.43428 6.66246 6.89829 7.14201 7.39384 7.65402| 7.92280 8.20043 8.487171 8.78327 9.08901 9.40466 9.730491 10.066801 10.41387| 10.77201 11.14152 11.52271 11.91590 Period 6 Period 77.28567 7.58297| 7.89234 8.21423 8.54911 8.89747 9.25980 9.63663 10.02847 10.43589 10.85943) 11.29969 11.75726 12 23276 12.72682 13.24009 13.77325 14.32700 14.90203 15.49908) Period 1 Period 8 8.36853 8.75463 9.15911 9.58280 10.02656 10.49132 10.97799 11.48756 12.02104 12.57948 13.16397 13.77566|| 14.41571 15.08535 15.78584 16.51851 17.28471 18.08585 18.92341 19.79890 Period 8 Period 99.46221 9.94972 10.46388 11.00611 11.57789 12.18079 12.81645 13.48656 14.19293 14.93742 15.72201 16.54874 17.41975 18.337301 19.303721 20.32147 21.39311 22.52131 23.70886 24.95868 Period 9 ) Period 10 10.56683 11.16872 11.80780 12.48635 13.20679 13.97164 14.78360 15.64549 16.56029 17.53117| 18.56143 19.65458 20.81432 22.04452 23.34928 24.732901 26.19994 27.755141 29.40355 31.15042 Period 10 Period 11|11.68250 12.41209 13.19203 14.02581 1491713 15.86994 16.88845 17.97713 19.1407220.3842821.71319 23.13313 24.65018 26.27075 29.85017 31.82393 33.93107 36.18022 38.58050 Period 11 Period 1212.80933 13.68033 14.61779 15.62634 16.71298 17.88214 19.14064 20.4953021.95338 23.52271 25.21164 27.02911 28.98470 31.08865 33.35192 35.78620 38.40399 41.21866 44.24446 47.49660 Period 12 Period 1313.94742 14.97394 16.08632 17.29191 18.59863 20.01507 21.55049 23.21492 25.01919 26.97498 29.09492 31.39260 33.88271 36.58107 39.50471 42.67199 46.10267 49.818021 53.84091 58.19592 Period 13 Period 14 15.09690 16.29342 17.59891 19.02359 20.57856 22.27597 24.12902 26.15211 28.36092 30.77248) 33.40536 36.27971 39 41746 42.84241 46.58041 50.65951 55. 11013 59.96527 65.26068 71.03511 Period 14 Period 1516.25786 17.63929 19.15688 20.82453 22.65749 24.67253 26.88805 29.32428 32.00340 34 94973 38.18995 41.75328 45.67173 49.98035 54.71747 59.925031 65.64885 71.93901 78.85021 86.44213 Period 15 Period 16/17.43044 19.01207 20.76159 2269751 24.84037 27.21288 29.84022 32.75023 35.97370 35.97370 39.54470 43.50084 47.88367 52.73906 58. 11760 64.07509 70.67303 77.97915 86.06804 95.02175 104.93056 Period 16 Period 17 18.61475 20.41231 22.41444 24.64541 27.13238 29.90565 32.99903 36.45024 40.30134 4459917 49.39594 54.74971 60.72514 67.39407 74.83636 83.140721 92.40561 102.74028 114.26588 127.11667 Period 17 Period 1819.81090 21.84056 24 11687 26.67123 29.53900 32.75999 36.37896 40.44626 45.01846 50.15909 55.93949 62.43968 69.74941 77.969231 87.21181 97.60323 109.284561 122.41353 137.16640 153.74000 Period 18 Period 19 21.01900 23.29737 25.87037 28.77808 32.06595 35.78559 39.99549 44.76196 50.16012 56.27500 63.20283 71.05244 79.94683 90.02493 101.44358 114.37975 129.03294 145.62797 164.41802 185.68800 Period 19 Period 2022.23919 24.78332 27.67649 30.96920 34.71925 38.99273/ 43.8651849.42292 55.76453 63.00250 71.26514 30.69874 91.46992] 103.76842 117.810121 133.84051 152.13854 173.021001 196.84744 224.02560 Period 20 Period 25|28.52563 32.67091 37.55304 43.31174 50.11345 58.15638 67.67647 78.95442 | 92.32398 108.18177 126.99877 149.33393 175.85010 175.85010 207.33274 207.33274 244.71197 244.71197 289.08827 341.76268 40427211 478.43056 566.37730 Period 25 Period 30 35.13274 41.37944 49.00268 58.32834 69.76079 83.80168101.07304 122.34587 148.57522 180.94342| 220.91317 27029261 331.31511 406.73701 499.95692 615.16161 757.50377 933.31863 1,150.38748 1,418.25788 Period 30 Period 35|42.07688 50.99437 62.27594 76.59831 94.83632 118.12087 147.91346186.10215 235.12472 298.12681 379.16441 483.46312 617.74933 790.67288 1,013.34568 1,300.02703 1,668.99450 2,143.64890 2,753.91433 3,538.00937 Period 35 Period 4049.37524 61.61002 77.66330 98.82654 126.83976164.04768213.60957 279.78104 368.29187 486.85181 645.82693 859.14239 1,145.48579 1,529.90861 2,045.95385 2,738.47840 3,667.39055| 4912.59137 6,580.49649 8,812.62941 Period 40 Period 45 57.04589 73.33056 95.50146125.87057 167.68516225.50812305.75176 417.42607 573.13602790.795321,095.168801,521.21764 2,117.806032,953 24387 4.122.89773 5,759.71774 3,048.77006 11,247 26098 15,712.07483 21,937.57193 Period 45 Period 50|65.10781 86.27099116.18077158.77377 219.81540307.75606434.98595 619.67177 888.441081,280.29938 1,852.33598 2,688.02044 3,909.24304 5,693.75433 8,300.37372 12,105.35258/17,654.71696 25,739.4505337,503.25023 54,596.62890 Period 50 Period 6082.48637 116.33257 167.94504247.51031371.26290565.11587 370.46681|1,353.470362,119.823423,338.298035,278. 123083,368 2380513,291.0032721,130.0519433,602.99038|53,426.7099034,889.39461134,743.80644213,598.55470338,079.08612 Period 60 Periods 1% % 2% 3% 4% 5% 6% 794 8% 9% 10% 11% 12% 13% 14% 15% 16% 17% 18% 19% 20% Periods - Present Value of $1 Present Value of $1 Periods 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 15% 16% 17% 18% 1994 20% Periods Period 10.990100.98039 0.97087 0.96154 0.95238 0.94340 0.93458 0.92593 0.91743 0.90909 0.90090 0.89286 0.88496 0.87719 0.86957) 0.86207 0.85470 0.84746 0.84034 0.83333 Period 1 Period 20.98030 0.96117 0.94260 0.92456 0.90703 0.89000 0.87344 0.85734 0.84168 0.82645 0.81162 0.79719 0.78315 0.76947 0.75614 0.74316 0.73051 0.71818 0.70616 0.69444 Period 2 Period 30.97059 0.94232 0.91514 0.88900 0.86384 0.83962 0.81630 0.79383 0.77218 0.75131 0.73119 0.71178 0.69305 0.67497 0.65752 0.64066 0.62437 0.60863 0.59342 0.57870 Period 3 Period 40.96098 0.92385 0.88849 0.85480 0.822701 0.79209 0.76290 0.73503 0.70843) 0.68301 0.65873) 0.63552 0.613321 0.59208] 0.57175 0.55229 0.533651 0.51579 0.49867 0.48225 Period 4 Period 5 0.951470.90573 0.86261 0.82193 0.78353 0.74726 0.71299 0.68058 0.64993 0.62092 0.59345 0.56743 0.54276 0.51937 0.49718] 0.47611 0.45611 0.43711 0.41905 0.40188 Period 5 Period 60.94205 0.88797 0.83748 0.79031 0.74622 0.70496 0.66634 0.63017 0.59627 0.56447 0.53464 0.50663 0.480321 0.45559 0.43233 0.41044 0.38984 0.37043 0.35214 0.33490 Period 6 Period 7 0.93272 0.87056 0.81309 0.75992 0.71068 0.66506 0.62275 0.58349 0.54703 0.51316 0.48166 0.45235 0.42506 0.39964 0.37594 0.35383 0.33320 0.31393 0.29592 0.27908 Period 7 Period 8 0.92348 0.85349 0.78941 0.73069 0.67684 0.62741 0.58201 0.54027 0.50187 0.46651 0.43393 0.40388 0.37616 0.35056 0.32690 0.30503 0.28478 0.26604 0.24867 0.23257 Period 8 Period 9 0.91434 0.83676 0.76642 0.70259 0.64461 0.59190 0.54393 0.50025 0.46043 0.42410 0.39092 0.36061 0.33288 0.30751 0.28426 0.26295 0.24340 0.22546 0.20897 0.19381 Period 9 Period 0.90529 0.82 6139 0.55839 0.50835 631 0.42241 3856 3521 02 0.2697 0.24718 0. 02 0.19106 0.17560 0.16151 Period 10 Period 110.89632 0.80426 0.72242 0.64958 0.58468 0.52679 0.47509 0.42888 0.38753 0.35049 0.31728 0.28748 0.26070 0.23662 0.21494 0.19542 0.17781 0.16192 0.14757 0.13459 Period 11 Period 120.88745 0.78849 0.70138 0.62460 0.55684 0.49697 0.44401 0.39711 0.35553 0.31863 0.28584 0.25668 0.23071 0.20756 0.18691 0.16846 0.15197 0.13722 0.12400 0.11216 Period 12 Period 130.87866 0.77303 0.68095 0.60057 0.530321 0.46884 0.41496 0.36770 0.32618 0.28966 0.25751 0.22917 0.20416 0.18207 0.16253 0.14523 0.12989 0.11629 0.10421 0.09346 Period 13 Period 140.86996 0.75788 0.66112 0.57748 0.50507 0.44230 0.38782) 0.34046 0.29925 0.26333 0.23199 0.20462 0.18068 0.15971 0.14133 0.12520 0.11102 0.09855 0.08757 0.07789 Period 14 Period 150.86135 0.74301 0.64186 0.55526 0.481021 0.41727 0.36245 0.31524 0.27454 0.23939 0.20900 0.18270 0.15989 0.14010 0.12289 0.10793 0.09489 0.08352 0.07359 0.06491 Period 15 Period 160.85282 0.72845 0.62317 0.53391 0.45811 0.39365 0.33873 0.29189 0.25187 0.21763 0.18829 0.16312 0.14150 0.12289 0.10686 0.09304 0.08110 0.07078 0.06184 0.05409 Period 16 Period 170.84438 0.71416 0.60502 0.51337 0.43630 0.37136 0.31657 0.27027 0.23107 0.19784 0.16963 0.14564 0.12522 0.10780 0.09293 0.08021 0.06932 0.05998 0.05196 0.04507 Period 17 Period 18 0.83602 0.70016 0.58739 0.49363 0.41552 0.35034 0.29586 0.25025 0.21199 0.17986 0.15282 0.13004 0.11081 0.09456 0.08081 0.06914 0.05925 0.05083 0.04367 0.03756 Period 18 Period 190.82774 0.68643 0.57029 0.47464 0.39573 0.33051 0.27651 0.23171 0.19449 0.16351 0.13768 0.11611 0.09806 0.08295 0.07027 0.05961 0.05064 0.04308 0.03670 0.03130 Period 19 Period 200.819540.67297 0.55368 0.45639 0.37689 0.31180 0.25842 0.21455 0.17843 0.14864 0.12403 0.10367 0.08678 0.07276 0.06110 0.05139 0.04328 0.03651 0.03084 0.02608 Period 20 Period 250.77977 0.60953 0.47761 0.37512 0.29530 0.233000.18425 0.14602 0.11597 0.09230 0.07361 0.05882 0.04710 0.03779 0.03038 0.02447 0.01974 0.01596 0.01292 0.01048 Period 25 Period 300.74192 0.55207 0.41199 0.30832 0.23138 0.17411 0.13137 0.09938 0.07537 0.05731 0.04368 0.03338 0.02557 0.01963 0.01510 0.01165 0.00900 0.00697 0.00541 0.00421 Period 30 Period 350.705910.50003 0.35538 0.25342 0.18129 0.13011 0.09366 0.06763 0.04899 0.03558 0.02592 0.01894 0.01388 0.01019 0.00751 0.00555 0.00411 0.00305 0.00227 0.00169 Period 35 Period 400.67165 0.45289 0.30656 0.20829 0.14205 0.09722 0.06678 0.04603 0.03184 0.02209 0.01538 0.01075 0.00753 0.00529 0.00373 0.00264 0.00187 0.00133 0.00095 0.00068 Period 40 Period 450.63905 0.41020 0.26444 0.17120 0.11130 0.07265 0.04761 0.03133 0.02069 0.01372 0.00913 0.00610 0.00409 0.00275 0.00186 0.00126 0.00085 0.00058 0.00040 0.00027 Period 45 Period 500.608040.37153 0.22811 0.14071 0.08720 0.05429 0.03395 0.02132 0.01345 0.00852 0.00542 0.00346 0.00222 0.00143 0.00092 0.00060 0.00039 0.00025 0.000171 0.00011 Period 50 Period 600.55045 0.30478 0.16973 0.09506 0.05354 0.03031 0.01726 0.00988 0.00568 0.00328 0.00191 0.00111 0.00065 0.00039 0.00023 0.00014 0.00008 0.00005 0.00003 0.00002 Period 60 Periods 1% 2% 3% 4% 5% 6% 794 8% 9% 10% 11% 12% 13% 14% 15% 16% 17% 18% 19% 20% Periods - Present Value of an ordinary Annuity Present Value of an ordinary Annuity Periods 19% 2% 39 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 15% 16% 1799 18% 1994 20% Periods Period 1 0.99010 0.98039 0.97087 0.96154 0.95238 0.94340 0.93458 0.92593 0.91743 0.90909 0.90090 0.89286 0.88496 0.87719 0.86957 0.86207 0.85470 0.847460.840340.83333 Period 1 Period 2 1.97040 1.94156 1.91347 1.88609 1.85941 1.83339 1.80802 1.78326 1.75911 1.73554 1.71252 1.69005 1.668101.64666 1.62571 1.60523 1.58521 1.565641.54650 1.52778 Period 2 Period 3 2.94099 2.88388 2.82861 2.77509 2.72325 2.67301 2.62432 2.57710 2.53129 2.48685 2.443712.40183 2.36115 2.32163 2.28323 2.24589 2.20958 2.17427 2.139922. 10648 Period 3 Period 4 3.90197 3.80773 3.71710 3.62990 3.54595 3.46511 3.38721 3.31213 3.23972 3.16987 3.10245 3.03735 2.97447291371 2.85498 2.79818 2.74324 2.690062.638592.58873 Period 4 Period 5 4.85343| 471346 4.57971 445182 4.32948 4.21236 4.10020 3.99271 3.88965 3.79079 3.69590 3.60478 3.517233.43308 3.35216 3.274293.19935 3.127173.05763|2.99061 Period 5 Period 6 5.79548 5.60143 5.41719 5.24214 5.07569 491732 4.76654 4.62288 4.48592| 4.35526 4.23054 4.11141 3.99755 3.88867 3.78448 3.68474 3.58918 3.497603.40978|3.32551Period 6 Period 7 6.72819 6.47199 6.23028 6.00205 5.786375.58238 5.38929 5.20637 5.03295 4.86842| 4.712204.56376 4.42261 4.28830 4.16042 4.03857 3.92238 3.81153 3.705703.60459 Period 7 Period 8 7.651687.32548 7.01969 6.73274 6.46321 6.20979 5.97130 5.74664 5.53482 5.33493 5.14612| 4.96764 4.79877 4.63886 4.48732 4 343594.20716 4.077573.95437|3.83716 Period 8 Period 9 8.56602 8.16224 7.78611 7.43533 7.10782 6.80169 6.51523 6.24689 5.99525 5.75902 5.53705 5.32825 5.13166 494637 4.77158 4.60654 4.45057 4.30302 4.16333 4.03097) Period 9 Period 10 9.47130 8.98259 8.53020 8.11090 7.721737.36009 7.02358 6.71008 6.41766 6.14457 5.88923 5.650225.42624 5.21612 5.01877 4.83323 4.65860 4.49409 4.338934. 19247) Period 10 Period 11 10.36763 9.78685 9.25262 8.76048 8.30641 7.88687 7.49867 7.13896 6.80519 6.49506 6.20652 5.937705.68694 5.45273 5.23371 5.02864 4.83641 4.65601 4.486504 32706 Period 11 Period 12 11.25508 10.57534 9.95400 9.38507 8.86325 8.38384 7.94269 7.53608 7.16073 6.81369 6.49236 6.19437 5.91765 5.66029 5.420620 5.19711 4.98839 4.79322 4.610504.43922 Period 12 Period 13 12.13374 11.34837 10.63496 9.98565 9.39357 8.85268 8.35765 7.90378 7.486907.10336 6.74987 6.42355 6.121815.84236 5.58315 5.34233 5.11828 4.90951 4.71471 4.53268 Period 13 Period 14 13.00370 12.10625 11.29607 10.56312 9.89864 9.294988.745471 8.24424 7.78615 7.36669 6.98187 6.62817 6.30249 6.00207 5.72448 5.46753 5.22930 5.00806 4.80228|4.61057 Period 14 Period 15 13.86505 12.84926 11.93794 11.11839 10.37966 9.71225 9.10791 8.55948 8.060697.60608 7.19087 6.81086 6.46238 6.14217 5.84737 5.57546 5.32419 5.09158 4.87586|4.67547 Period 15 Period 16 14.71787 13.57771 12.56110 11.65230 10.83777 10.105909.44665 8.85137 8.312567.823717.37916 6.97399 6.60388 6.26506 5.95423 5.66850 5.40529 5.16235 4.937704.72956 Period 16 Period 17 15.562251429187 13.16612 12. 16567 11.27407 10.47726 9.76322 9.12164 8.54363 8.02155 7.54879 7.11963 6.72909 6.37286 6.047165.74870 5.47461 5.22233 4.98966|4.77463 Period 17 Period 18 16.39827 14.9920313.75351 12.65930 11.68959 10.8276010.05909 9.37189 8.75563 8.20141 7.701627.24967 6.83991 6.46742 6.12797 5.81785 5.53385 5.273165.033334.81219 Period 18 Period 19 17.2260115.67846 14.32380 13.13394 12.08532 11.15812 10.33560 9.60360 8.95011 8.36492 7.839297.36578 6.93797 6.55037 6.19823 5.87746 5.58449 5.31624 5.070034.84350 Period 19 Period 20 18.04555 16.35143 14.87747 13.59033 12.4622111.46992/10.59401 9.81815 9.12855 8.51356 7.96333 7.46944 7.02475 6.62313 6.25933 5.92884 5.62777 5.35275 5.10086|4.86958 Period 20 Period 25 22.02316 19.52346 17.41315 15.62208 14.0939412.7833611.65358 10.67478 9.82258 9.07704 8.42174 7.84314 7.32998 6.87293 6.46415 6.09709 5.76623 5.46691 5.195154.94759 Period 25 Period 30 25.8077122.39646 19.60044 17.29203 15.37245 13.7648312.40904 11.2577810.27365 9.42691 8.69379 8.055187.49565 7.00266 6.56598 6.17720 5.82939 5.516815.234664.97894 Period 30 Period 35 29.4085824.99862 21.48722 18.66461 16.37419 14.4982512.9476711.65457 10.56682 9.64416 8.85524 8.17550 7.58557 7.07005 6.61661 6.21534 5.85820 5.53862 5.251224.99154 Period 35 Period 40 32.8346927.35548 23.11477 19.79277| 17.15909 15.04630 13.3317111.9246110.75736 9.77905 8.95105 8.24378| 7.63438 7.10504 6.64178 6.23350 5.871335.54815 5.258154.99660 Period 40 Period 45 36.0945129.49016 24.5187120.72004 17.77407 15.4558313.60552 12.10840 10.881209.86281 9.00791 8.282522 7.660867.12322 6.65429 6.24214 5.877335.55232 5.261064.99863 Period 45 Period 50 39.19612 31.42361 25.72976 21.48218 18.2559315.7618613.80075 12.2334810.96168 9.91481 9.04165 8.30450 7.67524 7.13266 6.66051 6.24626 5.88006 5.554145.26228|4.99945 Period 50 Period 60 44.95504|34.76089 27.67556 22.62349 18.92929 16.16143/14.0391812 37655 11.04799 9.96716 9.07356 8.32405 7.68728) 7.140116.66515 6.24915 5.88188 5.55529 5.26300499991 Period 60 Periods 1% 2% 3% 4% 5% 6% 79 8% 9% 10% 119 12% 13% 14% 15% 16% 17% 18% 1994 20% Periods Present Value of an Annuity Due 10% Present Value of an Annuity Due Periods 1% 2 3% 4% 5% 694 7% 8% 9% 11% 129 13% 14% 15% 16% 17% 18% 19% 20% Periods Period 1 1.00000 100000 100000 1.00000 1.00000 1.00000 1.00000 100000 1.00000 100000 1.00000 100000 100000 1.00000 100000 1.00000 100000 100000 1.00000 100000 Period 1 Period 21.99010 1.98039 1.97087 1.96154 1.95238 1.94340 1.93458 1.92593 1.91743 1.90909 1.90090 1.89286 1.88496 1.87719 1.86957 1.86207 1.854701.84746 1.840341.83333 Period 2 Period 3 2.97040 2.94156 2.91347 2.88609 2.85941 2.83339 2.80802 2.78326 2.75911 2.73554 2.71252 2.69005 2.668102.64666 2.62571 2.60523 2.585212.56564 2.54650 2.52778 Period 3 Period 43.94099 3.88388 3.82861 3.77509 3.72325 3.67301 3.62432 3.57710 3.53129 3.48685 3.44371 3.40183 3.36115 3.32163 3.283233.24589 3.20958|3.17427 3.13992 3.10648 Period 4 Period 5 4.90197 4.80773 471710 4.62990 4.54595 4.46511 438721 4.31213| 4.23972 4.16987 4. 10245 4.03735 3.97447 3.91371 3.85498 3.798183.74324 3.69006|3.63859 3.58873 Period 5 Period 65.85343 5.71346 5.57971 5.45182 5.32948 5.21236 5.100204.99271 4.88965 4.79079 4.69590 4.60478 4.51723 4.43308 4.35216 4.27429 4.19935 4.12717 4.05763 3.99061 Period 6 Period 76.79548 6.60143 6.41719 6.242146.07569 5.91732 5.76654 5.62288 5.48592 5.35526 5.23054 5.11141 499755| 4.88867 4.78448 4.68474 4.58918 4.49760 4.40978 4.32551 Period 7 Period 87.72819 7.47199 7.23028 7.00205 6.78637 6.58238 6.38929 6.20637 6.03295 5.86842 5.71220 5.56376 5.42261 5.28830 5.16042 5.03857 4.92238 4.81153 4.70570 4.60459 Period 8 Period 9865168 8.32548 8.01969 7.73274 7.46321 7.20979 6.97130 6.74664 6.53482 6.33493 6.14612 5.96764 5.79877 5.63886 5.48732 5.34359 5.20716 5.07757 4.95437 4.83716 Period 9 Period 10 9.56602 9.16224 8.78611 8.43533 8.10782 7.801697.51523 7.24689 6.99525 6.75902 6.53705 6.32825 6.13166 5.94637 5.771585.60654 5.45057 5.30302 5.163335.03097 Period 10 Period 11 10.471309.98259 9.53020 9.11090 8.72173 8.36009 8.02358 7.71008 7.41766 7.14457 6.88923 6.65022 6.42624 6.21612 6.01877 5.83323 5.65860 5.494095.33893 5.19247 Period 11 Period 1211.36763|10.7868510.25262 9.76048 9.30641 8.88687| 8.49867 8.13896 7.80519 7.49505 7.206526.93770 6.68694 6.45273 6.23371 6.028645.836415.65601 5.48650 5.32706 Period 12 Period 13 12.25508 11.57534 10.95400 10.38507 9.86325 9.38384 8.94269 8.53608 8.16073 7.813697.49236 7.19437 6.91765 6.66029 6.42062 6.19711 5.98839 5.79322 5.61050 5.43922 Period 13 Period 14 13.13374 12.34837 11.63496 10.98565 10.39357 9.85268 9.35765 8.90378 8.48690 8.10336 7.749877.42355 7.12181 6.84236 6.58315 6.34233 6. 118285.90951 5.71471 5.53268|Period 14 Period 15 14.00370 13.10625 12.29607 11.56312 10.89864 10.29498 9.74547 9.24424 8.78615 8.366697.98187 7.62817 7.30249 7.00207 6.72448 6.467536.229306.00806 5.802285.61057 Period 15 Period 16 14.8650513.84926 12.93794 12.11839 11.3796610.71225 10.10791 9.55948 9.060698.60608 8.19087| 7.81086 7.46238 7.14217 6.84737 6.57546 6.324196.091585.875865.67547 Period 16 Period 17 15.71787 14.5777113.56110 12.65230 11.83777 11.10590 10.44665 9.85137] 9.31256 8.82371 8.37916 7.973997.60388 7.26506 6.95423 6.66850 6.405296.16235/5.93770 5.72956 Period 17 Period 18 16.5622515.29187 14.16612 13.16567 12.27407 11.47726 10.76322 10.12164 9.54363 9.02155 8.54879 8.11963 7.72909 7.37286/7.04716 6.748706.474616.222335.98966 5.77463 Period 18 Period 19 17.3982715.9920314.75351 13.65930 12.6895911.82760 11.05909 10.37189 9.75563 9.20141 8.70162 8.24967 7.83991 7.46742 7.12797 6.817856.533856.273166.033335.81219 Period 19 Period 20 18.2260116.6784615.32380 14.13394 13.08532 12.15812 11.33560 10.60360 9.95011 9.36492 8.83929 8.36578 7.93797 7.55037 7.198236.87746 6.584496.31624 6.070035.84350 Period 20 Period 25 22.2433919.9139317.93554 16.24696 14.7986413.55036 12.46933 11.52876 10.70661 9.98474 9.34814 8.78432 8.28288 7.83514 7.43377|7.072636.746496.450956.18223 5.93710 Period 25 Period 30 26.06579|22.84438|20.18845 17.9837116.14107|14.59072 13.27767 12.15841 11.1982810.36961 9.65011 9.02181 8.47009 7.98304 7.55088|7.16555 6.82039 6.509836.229245.97472 Period 30 Period 35 29.70267 25.4985922. 13184 19.4112017. 1929015.36814 13.85401 12.58693 11.51784 10.60857 9.82932 9.15656 8.57170 8.05985 7.609107.209796.854096.53557|6.24895 5.98984 Period 35 Period 40 33.1630327.9025923.80822 20.53448 18.0170415.94907 14.26493 12.87858 11.72552 10.75696 9.93567 9.23303 8.62684 8.09975 7.63805 7.230866.869466.54682 6.25720 5.99592 Period 40 Period 45 36.45545 30.07996/25.25427 21.54884 18.6627716.38318145579113.07707 11.86051 10.84909 9.99878 9.27642 8.65678 8.120471 7.65244 7.240896.876476.551746.26066 5.99836 Period 45 Period 50 39.58808|32.05208/26.50166 22.34147 19.1687216.70757 1476680 13.21216 11.94823 10.9063010.03624 9.30104 8.67302 8.13123 7.659597.245666.879676.553896.262115.99934 Period 50 Period 60 45.40459 35.45610 28.50583 23.5284319.87575 17.1311115.0219213.36668 12.0423110.96387 10.07165 9.32294 8.68663 8.13972 7.66492 7.24902 6.881806.555246.26297 5.99989 Period 60 792 59 86 000 1000 1792 189 1004 Darinda 100 300 694 700 1100 1300 149 1594 167 1792 200cl perioda