PVF=OAn1=11(1+1)n1 \begin{tabular}{|c|c|c|c|c|c|c|} \hline (n)Periods & & & & 4% & 5% & 6% \\ \hline 1 & .98039 & 2%%.97561 & .97087 & .96154 & .95238 & 94340 \\ \hline 2 & 1.94156 & 1.92742 & 1.91347 & 1.88609 & 1.85941 & 1.83339 \\ \hline 3 & 2.88388 & 2.85602 & 2.82861 & 2.77509 & 2.72325 & 2.67301 \\ \hline 4 & 3.80773 & 3.76197 & 3.71710 & 3.62990 & 3.54595 & 3.46511 \\ \hline 5 & 4.71346 & 4.64583 & 4.57971 & 4.45182 & 4.32948 & 4.21236 \\ \hline 6 & 5.60143 & 5.50813 & 5.41719 & 5.24214 & 5.07569 & 4.91732 \\ \hline 7 & 6.47199 & 6.34939 & 6.23028 & 6.00205 & 5.78637 & 5.58238 \\ \hline 8 & 7.32548 & 7,17014 & 7.01969 & 6.73274 & 6.46321 & 6.20979 \\ \hline 9 & 8.16224 & 7.97087 & 7.78611 & 7.43533 & 7.10782 & 6.80169 \\ \hline 10 & 8.98259 & 8.75206 & 8.53020 & 8.11090 & 7.72173 & 7.36009 \\ \hline 11 & 9.78685 & 9.51421 & 9.25262 & 8.76048 & 8.30641 & 7.88687 \\ \hline 12 & 10.57534 & 10.25776 & 9.95400 & 9.38507 & 8.86325 & 1) 8.38384 \\ \hline 13 & 11.34837 & 10.98319 & 10.63496 & 9.98565 & 9.39357 & 8.85268 \\ \hline 14 & 12.10625 & 11.69091 & 11.29607 & 10.56312 & 9.89864 & 9.29498 \\ \hline 15 & 12.84926 & 12.38138 & 11.93794 & 11.11839 & 10.37966 & 9.71225 \\ \hline 16 & 13.57771 & 13.05500 & 12.56110 & 11.65230 & 10.83777 & 10.10590 \\ \hline 17 & 14.29187 & 13.71220 & 13.16612 & 12.16567 & 11.27407 & 10.47726 \\ \hline 18 & 14.99203 & 14.35336 & 13.75351 & 12.65930 & 11.68959 & 10.82760 \\ \hline 19 & 15.67846 & 14.97889 & 14.32380 & 13.13394 & 12.08532 & 11.15812 \\ \hline 20 & 16.35143 & 15.58916 & 14.87747 & 13.59033 & 12.46221 & 11.46992 \\ \hline 21 & 17.01121 & 16.18455 & 15.41502 & 14.02916 & 12.82115 & 11.76408 \\ \hline 22 & 17.65805 & 16.76541 & 15.93692 & 14.45112 & 13.16300 & 12.04158 \\ \hline 23 & 18.29220 & 17.33211 & 16.44361 & 14.85684 & 13.48857 & 12.30338 \\ \hline 24 & 18.91393 & 17.88499 & 16,93554 & 15.24696 & 13.79864 & 12.55036 \\ \hline 25 & 19.52346 & 18.42438 & 17.41315 & 15.62208 & 14.09394 & 12.78336 \\ \hline 26 & 20,12104 & 18.95061 & 17.87684 & 15.98277 & 14.37519 & 13.00317 \\ \hline 27 & 20.70690 & 19.46401 & 18.32703 & 16.32959 & 14.64303 & 13.21053 \\ \hline 28 & 21.28127 & 19.96489 & 18.76411 & 16.66306 & 14.89813 & 13.40616 \\ \hline 29 & 21.84438 & 20.45355 & 19.18845 & 16.98371 & 15.14107 & 13.59072 \\ \hline 30 & 22.39646 & 20.93029 & 19.60044 & 17.29203 & 15.37245 & 13.76483 \\ \hline 31 & 22.93770 & 21.39541 & 20.00043 & 17.58849 & 15.59281 & 13.92909 \\ \hline 32 & 23,46833 & 21.84918 & 20.38877 & 17.87355 & 15.80268 & 14.08404 \\ \hline 33 & 23.98856 & 22.29188 & 20.76579 & 18.14765 & 16.00255 & 14.23023 \\ \hline 34 & 24.49859 & 22.72379 & 21.13184 & 18.41120 & 16.19290 & 14.36814 \\ \hline 35 & 24.99862 & 23.14516 & 21.48722 & 18.66461 & 16.37419 & 14.49825 \\ \hline 36 & 25.48884 & 23.55625 & 21.83225 & 18.90828 & 16.54685 & 14.62099 \\ \hline 37 & 25.96945 & 23.95732 & 22.16724 & 19.14258 & 16.71129 & 14.73678 \\ \hline 38 & 26.44064 & 24.34860 & 22,49246 & 19.36786 & 16.86789 & 14.84602 \\ \hline 39 & 26.90259 & 24.73034 & 22.80822 & 19.58448 & 17.01704 & 14.94907 \\ \hline 40 & 27.35548 & 25.10278 & 23.11477 & 19.79277 & 17.15909 & 15.04630 \\ \hline \end{tabular} _........ musuma valua of an Brdinarv Annulty of 1 TABLE 6.5 Present Value of an Annuity Due of 1 Martinez Corporation, having recently issued a $20,006,100,15-year bond issue, is committed to make annual sinking fund deposits of $619,000. The deposits are made on the last day of each year and yield a return of 10%. Click here to view factor tables. Determine the amount of deficiency. (Round foctor values to 5 decimal places, e.g. 1.25124 and final answer to 0 decimal places, e.g. 458,581.) TABLE 6.2 Present Value of 1 \begin{tabular}{|c|c|c|c|c|c|c|} \hline B\% & 9% & 10% & 11% & 12% & 15% & Periode \\ \hline 92593 & .91743 & 90909 & 90090 & 89286 & 86957 & 1 \\ \hline 85734 & 84168 & 82645 & 81162 & 79719 & .75614 & 2 \\ \hline .79383 & .77218 & .75132 & 73119 & 71178 & .65752 & 3 \\ \hline .73503 & .70843 & 68301 & 65873 & 63552 & 57175 & 4 \\ \hline .68058 & 64993 & .62092 & 59345 & 56743 & 49718 & 5 \\ \hline .63017 & 59627 & 56447 & 53464 & .50663 & 43233 & 6 \\ \hline 58349 & 54703 & 51316 & 48166 & 45235 & 37594 & 7 \\ \hline 54027 & 50187 & 46651 &, 43393 & 40388 & 32690 & 8 \\ \hline 50025 & .46043 & .42410 & 39092 & 36061 & 28426 & 9 \\ \hline .46319 & .42241 & 38554 & 35218 & 32197 & 24719 & 10 \\ \hline .42888 & .38753 & 35049 & 31728 & 28748 & 21494 & 11 \\ \hline 39711 & .35554 & 31863 & .28584 & 25668 & 18691 & 12 \\ \hline 36770 & 32618 & 28966 & 25751 & 22917 & .16253 & 13 \\ \hline 34046 & 29925 & .26333 & 23199 & 20462 & .14133 & 14 \\ \hline 31524 & 27454 & 23939 & 20900 & .18270 & +12289 & 15 \\ \hline .29189 & 25187 & .21763 & 18829 & .16312 & .10687 & 16 \\ \hline .27027 & 23107 & .19785 & .16963 & .14564 & .09293 & 17 \\ \hline 25025 & 21199 & .17986 & .15282 & .13004 & .08081 & 18 \\ \hline 23171 & .19449 & 16351 & .13768 & .11611 & 07027 & 19 \\ \hline .21455 & .17843 & .14864 & 12403 & .10367 & .06110 & 20 \\ \hline .19866 & .16370 & .13513 & 11174 & .09256 & .05313 & 21 \\ \hline .18394 & .15018 & 12285 & 10067 & 08264 & 04620 & 22 \\ \hline .17032 & .13778 & .11168 & .09069 & .07379 & 04017 & 23 \\ \hline .15770 & .12641 & .10153 & .08170 & .06588 & 03493 & 24 \\ \hline .14602 & -11597 & .09230 & .07361 & .05882 & 03038 & 25 \\ \hline .13520 & .10639 & .08391 & .06631 & .05252 & .02642 & 26 \\ \hline .12519 & .09761 & .07628 & .05974 & .04689 & 02297 & 27 \\ \hline .11591 & .08955 & .06934 & 05382 & .04187 & 01997 & 28 \\ \hline .10733 & .08216 & .06304 & .04849 & .03738 & 01737 & 29 \\ \hline .09938 & .07537 & .05731 & .04368 & .03338 & .01510 & 30 \\ \hline .09202 & .06915 & .05210 & .03935 & .02980 & .01313 & 31 \\ \hline .08520 & .06344 & .04736 &, 03545 & 02661 & 01142 & 32 \\ \hline .07889 & .05820 & .04306 & .03194 & 02376 & .00993 & 33 \\ \hline .07305 & .05340 & .03914 & .02878 & .02121 & .00864 & 34 \\ \hline .06763 & .04899 & .03558 & .02592 & .01894 & .00751 & 35 \\ \hline .06262 & .04494 & .03235 & .02335 & .01691 & .00653 & 36 \\ \hline .05799 & .04123 & .02941 & .02104 & .01510 & .00568 & 37 \\ \hline .05369 & .03783 & .02674 & .01896 & .01348 & .00494 & 38 \\ \hline 04971 & .03470 & .02430 & 01708 & 01204 & .00429 & 39 \\ \hline .04603 & .03184 & .02210 & .01538 & .01075 & .00373 & 40 \\ \hline \end{tabular} TABLE 6.1 Future Value of 1 \begin{tabular}{|c|c|c|c|c|c|c|} \hline 8% & 9% & 10% & 11% & 12% & 15% & Periods \\ \hline 1.08000 & 1.09000 & 1.10000 & 1.11000 & 1.12000 & 1.15000 & 1 \\ \hline 1.16640 & 1.18810 & 1.21000 & 1.23210 & 1.25440 & 1.32250 & 2 \\ \hline 1.25971 & 1.29503 & 1.33100 & 1.36763 & 1.40493 & 1.52088 & 3 \\ \hline 1.36049 & 1.41158 & 1.46410 & 1.51807 & 1.57352 & 1.74901 & 4 \\ \hline 1.46933 & 1.53862 & 1.61051 & 1.68506 & 1.76234 & 2.01136 & 5 \\ \hline 1.58687 & 1.67710 & 1.77156 & 1.87041 & 1,97382 & 2.31306 & 6 \\ \hline 1.71382 & 1.82804 & 1.94872 & 2.07616 & 2.21068 & 2.66002 & 7 \\ \hline 1.85093 & 1.99256 & 2.14359 & 2.30454 & 2.47596 & 3.05902 & 8 \\ \hline 1.99900 & 2.17189 & 2.35795 & 2.55803 & 2.77308 & 3.51788 & 9 \\ \hline 2.15892 & 2.36736 & 2.59374 & 2.83942 & 3.10585 & 4.04556 & 10 \\ \hline 2.33164 & 2.58043 & 2.85312 & 3.15176 & 3.47855 & 4.65239 & 11 \\ \hline 2.51817 & 2.81267 & 3.13843 & 3.49845 & 3.89598 & 5.35025 & 12 \\ \hline 2.71962 & 3.06581 & 3.45227 & 3.88328 & 4.36349 & 6.15279 & 13 \\ \hline 2.93719 & 3.34173 & 3.79750 & 4.31044 & 4.88711 & 7.07571 & 14 \\ \hline 3.17217 & 3.64248 & 4.17725 & 4.78459 & 5.47357 & 8.13706 & 15 \\ \hline 3.42594 & 3.97031 & 4,59497 & 5.31089 & 6.13039 & 9.35762 & 16 \\ \hline 3.70002 & 4.32763 & 5.05447 & 5.89509 & 6.86604 & 10.76126 & 17 \\ \hline 3.99602 & 4.71712 & 5.55992 & 6.54355 & 7.68997 & 12.37545 & 18 \\ \hline 4.31570 & 5.14166 & 6.11591 & 7.26334 & 8.61276 & 14.23177 & 19 \\ \hline 4.66096 & 5.60441 & 6.72750 & 8.06231 & 9.64629 & 16.36654 & 20 \\ \hline 5.03383 & 6.10881 & 7.40025 & 8.94917 & 10.80385 & 18.82152 & 21 \\ \hline 5.43654 & 6.65860 & 8.14028 & 9.93357 & 12.10031 & 21.64475 & 22 \\ \hline 5.87146 & 7.25787 & 8.95430 & 11.02627 & 13.55235 & 24.89146 & 23 \\ \hline 6.34118 & 7.91108 & 9.84973 & 12.23916 & 15.17863 & 28.62518 & 24 \\ \hline 6.84847 & 8.62308 & 10.83471 & 13.58546 & 17.00000 & 32.91895 & 25 \\ \hline 7.39635 & 9.39916 & 11.91818 & 15.07986 & 19.04007 & 37.85680 & 26 \\ \hline 7.98806 & 10.24508 & 13.10999 & 16.73865 & 21.32488 & 43.53532 & 27 \\ \hline 8.62711 & 11.16714 & 14.42099 & 18.57990 & 23.88387 & 50.06561 & 28 \\ \hline 9.31727 & 12.17218 & 15.86309 & 20.62369 & 26.74993 & 57.57545 & 29 \\ \hline 10.06266 & 13.26768 & 17.44940 & 22.89230 & 29.95992 & 66.21177 & 30 \\ \hline 10.86767 & 14.46177 & 19.19434 & 25.41045 & 33.55511 & 76.14354 & 31 \\ \hline 11.73708 & 15.76333 & 21.11378 & 28.20560 & 37.58173 & 87.56507 & 32 \\ \hline 12.67605 & 17.18203 & 23.22515 & 31,30821 & 42.09153 & 100.69983 & 33 \\ \hline 13.69013 & 18.72841 & 25.54767 & 34.75212 & 47.14252 & 115.80480 & 34 \\ \hline 14.78534 & 20.41397 & 28.10244 & 38.57485 & 52.79962 & 133.17552 & 35 \\ \hline 15.96817 & 22.25123 & 30.91268 & 42.81808 & 59.13557 & 153.15185 & 36 \\ \hline 17.24563 & 24.25384 & 34,00395 & 47.52807 & 66.23184 & 176.12463 & 37 \\ \hline 18.62528 & 26.43668 & 37.40434 & 52.75616 & 74,17966 & 202.54332 & 38 \\ \hline 20,11530 & 28.81598 & 41.14479 & 58.55934 & 83.08122 & 232.92482 & 39 \\ \hline 21.72452 & 31.40942 & 45.25926 & 65.00087 & 93.05097 & 267.86355 & 40 \\ \hline \end{tabular} TABLE 6.2 Present Value of 1 (Present Value of a Single Sum) PVFn,=(t+n)n1=(1+n)n \begin{tabular}{|c|c|c|c|c|c|c|} \hline Periods & 2% & 2%% & 3% & 4% & 5% & 6% \\ \hline 1 & .98039 & .97561 & .97087 & 96154 & 95238 & .94340 \\ \hline 2 & 96117 & 95181 & 94260 & 92456 & 90703 & 89000 \\ \hline 3 & 94232 & 92860 & 91514 & 88900 & 86384 & 83962 \\ \hline 4 & 92385 & 90595 & 88849 & 85480 & 82270 & .79209 \\ \hline 5 & 90573 & 88385 & 86261 & 82193 & .78353 & .74726 \\ \hline 6 & .88797 & 86230 & .83748 & .79031 & .74622 & .70496 \\ \hline 7 & 87056 & .84127 & 81309 & 75992 & 71068 & .66506 \\ \hline 8 & 85349 & 82075 & 78941 & 73069 & .67684 & 62741 \\ \hline 9 & 83676 & 80073 & .76642 & 70259 & .64461 & 59190 \\ \hline 10 & 82035 & .78120 & .74409 & .67556 & .61391 & .55839 \\ \hline 11 & 80426 & .76214 & 72242 & 64958 & .58468 & 52679 \\ \hline 12 & .78849 & .74356 & .70138 & .62460 & .55684 & 49697 \\ \hline 13 & .77303 & .72542 & 68095 & 60057 & .53032 & 46884 \\ \hline 14 & .75788 & .70773 & .66112 & 57748 & .50507 & 44230 \\ \hline 15 & 74301 & .69047 & .64186 & .55526 & .48102 & .41727 \\ \hline 16 & .72845 & .67362 & .62317 & 53391 & .45811 & .39365 \\ \hline 17 & .71416 & .65720 & 60502 & 51337 & .43630 & .37136 \\ \hline 18 & .70016 & .64117 & 58739 & 49363 & 41552 & 35034 \\ \hline 19 & .68643 & 62553 & .57029 & .47464 & 39573 & 33051 \\ \hline 20 & .67297 & 61027 & .55368 & .45639 & 37689 & .31180 \\ \hline 21 & .65978 & 59539 & 53755 & .43883 & .35894 & 29416 \\ \hline 22 & .64684 & 58086 & 52189 & .42196 & .34185 & 27751 \\ \hline 23 & .63416 & .56670 & 50669 & .40573 & .32557 & 26180 \\ \hline 24 & 62172 & 55288 & 49193 & 39012 & 31007 & 24698 \\ \hline 25 & .60953 & 53939 & 47761 & 37512 & 29530 & .23300 \\ \hline 26 & .59758 & 52623 & .46369 & 36069 & .28124 & 21981 \\ \hline 27 & .58586 & 51340 & .45019 & 34682 & 26785 & 20737 \\ \hline 28 & .57437 & .50088 & .43708 & 33348 & 25509 & .19563 \\ \hline 29 & .56311 & .48866 & .42435 & 32065 & .24295 & .18456 \\ \hline 30 & .55207 & .47674 & 41199 & 30832 & .23138 & .17411 \\ \hline 31 & .54125 & .46511 & 39999 & 29646 & 22036 & -16425 \\ \hline 32 & .53063 & 45377 & 38834 & 28506 & 20987 & .15496 \\ \hline 33 & .52023 & .44270 & 37703 & .27409 & .19987 & .14619 \\ \hline 34 & .51003 & 43191 & 36604 & 26355 & .19035 & .13791 \\ \hline 35 & .50003 & .42137 & .35538 & .25342 & .18129 & .13011 \\ \hline 36 & .49022 & .41109 & .34503 & 24367 & .17266 & .12274 \\ \hline 37 & 48061 & 40107 & .33498 & 23430 & .16444 & 11579 \\ \hline 38 & .47119 & .39128 & 32523 & 22529 & .15661 & .10924 \\ \hline 39 & 46195 & 38174 & 31575 & 21662 & .14915 & .10306 \\ \hline 40 & .45289 & .37243 & 30656 & 20829 & .14205 & .09722 \\ \hline \end{tabular} TABLE 6.1 Future Value of 1 \begin{tabular}{|c|c|c|c|c|c|c|} \hline 8% & 9% & 10% & 11% & 12% & 15% & (n)Periods \\ \hline 1.08000 & 1.09000 & 1.10000 & 1.11000 & 1.12000 & 1.15000 & 1 \\ \hline 1.16640 & 1.18810 & 1.21000 & 1.23210 & 1.25440 & 1.32250 & 2 \\ \hline 1.25971 & 1.29503 & 1.33100 & 1.36763 & 1.40493 & 1.52088 & 3 \\ \hline 1.36049 & 1.41158 & 1.46410 & 1.51807 & 1.57352 & 1.74901 & 4 \\ \hline 1.46933 & 1.53862 & 1.61051 & 1.68506 & 1.76234 & 2.01136 & 5 \\ \hline 1.58687 & 1.67710 & 1.77156 & 1.87041 & 1.97382 & 2.31306 & 6 \\ \hline 1.71382 & 1.82804 & 1.94872 & 2.07616 & 2.21068 & 2.66002 & 7 \\ \hline 1.85093 & 1.99256 & 2.14359 & 2.30454 & 2.47596 & 3.05902 & 8 \\ \hline 1.99900 & 2.17189 & 2.35795 & 2.55803 & 2.77308 & 3.51788 & 9 \\ \hline 2.15892 & 2.36736 & 2.59374 & 2.83942 & 3.10585 & 4.04556 & 10 \\ \hline 2.33164 & 2.58043 & 2.85312 & 3.15176 & 3.47855 & 4.65239 & 11 \\ \hline 2.51817 & 2.81267 & 3.13843 & 3.49845 & 3.89598 & 5.35025 & 12 \\ \hline 2.71962 & 3.06581 & 3.45227 & 3.88328 & 4.36349 & 6.15279 & 13 \\ \hline 2.93719 & 3.34173 & 3.79750 & 4.31044 & 4.88711 & 7.07571 & 14 \\ \hline 3.17217 & 3.64248 & 4.17725 & 4,78459 & 5.47357 & 8.13706 & 15 \\ \hline 3.42594 & 3.97031 & 4,59497 & 5.31089 & 6.13039 & 9.35762 & 16 \\ \hline 3.70002 & 4.32763 & 5.05447 & 5.89509 & 6.86604 & 10.76126 & 17 \\ \hline 3.99602 & 4.71712 & 5.55992 & 6,54355 & 7.68997 & 12.37545 & 18 \\ \hline 4.31570 & 5.14166 & 6.11591 & 7.26334 & 8.61276 & 14.23177 & 19 \\ \hline 4.66096 & 5.60441 & 6.72750 & 8.06231 & 9.64629 & 16.36654 & 20 \\ \hline 5.03383 & 6.10881 & 7.40025 & 8.94917 & 10.80385 & 18.82152 & 21 \\ \hline 5.43654 & 6.65860 & 8.14028 & 9.93357 & 12.10031 & 21.64475 & 22 \\ \hline 5.87146 & 7.25787 & 8.95430 & 11.02627 & 13.55235 & 24.89146 & 23 \\ \hline 6.34118 & 7.91108 & 9.84973 & 12.23916 & 15.17863 & 28.62518 & 24 \\ \hline 6.84847 & 8.62308 & 10.83471 & 13.58546 & 17.00000 & 32.91895 & 25 \\ \hline 7.39635 & 9.39916 & 11,91818 & 15.07986 & 19.04007 & 37.85680 & 26 \\ \hline 7.98806 & 10.24508 & 13.10999 & 16.73865 & 21.32488 & 43.53532 & 27 \\ \hline 8.62711 & 11.16714 & 14.42099 & 18.57990 & 23.88387 & 50.06561 & 28 \\ \hline 9.31727 & 12.17218 & 15,86309 & 20.62369 & 26.74993 & 57.57545 & 29 \\ \hline 10.06266 & 13.26768 & 17.44940 & 22.89230 & 29.95992 & 66.21177 & 30 \\ \hline 10.86767 & 14.46177 & 19.19434 & 25.41045 & 33.55511 & 76.14354 & 31 \\ \hline 11.73708 & 15.76333 & 21.11378 & 28.20560 & 37.58173 & 87.56507 & 32 \\ \hline 12.67605 & 17.18203 & 23.22515 & 31,30821 & 42.09153 & 100.69983 & 33 \\ \hline 13.69013 & 18.72841 & 25.54767 & 34.75212 & 47.14252 & 115.80480 & 34 \\ \hline 14.78534 & 20.41397 & 28.10244 & 38.57485 & 52.79962 & 133.17552 & 35 \\ \hline 15.96817 & 22.25123 & 30.91268 & 42.81808 & 59.13557 & 153.15185 & 36 \\ \hline 17.24563 & 24.25384 & 34.00395 & 47.52807 & 66.23184 & 176.12463 & 37 \\ \hline 18.62528 & 26.43668 & 37.40434 & 52.75616 & 74,17966 & 202.54332 & 38 \\ \hline 20,11530 & 28.81598 & 41.14479 & 58.55934 & 83.08122 & 232.92482 & 39 \\ \hline 21.72452 & 31.40942 & 45.25926 & 65.00087 & 93.05097 & 267.86355 & 40 \\ \hline \end{tabular} \begin{tabular}{|c|c|c|c|c|c|c|} \hline 8% & 9% & 10% & 11% & 12% & 15% & (n)Periods \\ \hline 1.00000 & 1.00000 & 1.00000 & 1.00000 & 1.00000 & 1.00000 & 1 \\ \hline 2.08000 & 2.09000 & 2.10000 & 2.11000 & 2.12000 & 2.15000 & 2 \\ \hline 3.24640 & 3.27810 & 3.31000 & 3,34210 & 3.37440 & 3.47250 & 3 \\ \hline 4.50611 & 4.57313 & 4.64100 & 4.70973 & 4.77933 & 4.99338 & 4 \\ \hline 5.86660 & 5.98471 & 6.10510 & 6.22780 & 6.35285 & 6.74238 & 5 \\ \hline 7.33592 & 7.52334 & 7.71561 & 7.91286 & 8.11519 & 8.75374 & 6 \\ \hline 8.92280 & 9.20044 & 9.48717 & 9.78327 & 10.08901 & 11.06680 & 7 \\ \hline 10.63663 & 11.02847 & 11.43589 & 11.85943 & 12.29969 & 13.72682 & 8 \\ \hline 12.48756 & 13.02104 & 13.57948 & 14,16397 & 14,77566 & 16.78584 & 9 \\ \hline 14.48656 & 15.19293 & 15.93743 & 16.72201 & 17.54874 & 20.30372 & 10 \\ \hline 16.64549 & 17.56029 & 18.53117 & 19.56143 & 20.65458 & 24.34928 & 11 \\ \hline 18.97713 & 20.14072 & 21.38428 & 22.71319 & 24.13313 & 29.00167 & 12 \\ \hline 21.49530 & 22.95339 & 24.52271 & 26.21164 & 28.02911 & 34.35192 & 13 \\ \hline 24.21492 & 26.01919 & 27.97498 & 30.09492 & 32.39260 & 40.504711 & 14 \\ \hline 27.15211 & 29.36092 & 31.77248 & 34.40536 & 37.27972 & 47.58041 & 15 \\ \hline 30,32428 & 33.00340 & 35.94973 & 39.18995 & 42.75328 & 55.71747 & 16 \\ \hline 33.75023 & 36.97371 & 40.54470 & 44,50084 & 48.88367 & 65.07509 & 17 \\ \hline 37.45024 & 41.30134 & 45.59917 & 50.39593 & 55.74972 & 75.83636 & 18 \\ \hline 41.44626 & 46.01846 & 51.15909 & 56.93949 & 63.43968 & 88.21181 & 19 \\ \hline 45.76196 & 51.16012 & 57.27500 & 64.20283 & 72.05244 & 102.44358 & 20 \\ \hline 50.42292 & 56.76453 & 64.00250 & 72.26514 & 81.69874 & 118.81012 & 21 \\ \hline 55.45676 & 62.87334 & 71.40275 & 81.21431 & 92.50258 & 137.63164 & 22 \\ \hline 60.89330 & 69.53194 & 79.54302 & 91,14788 & 104.60289 & 159.27638 & 23 \\ \hline 66.76476 & 76.78981 & 88.49733 & 102.17415 & 118.15524 & 184.16784 & 24 \\ \hline 73.10594 & 84.70090 & 98.34706 & 114.41331 & 133.33387 & 212.79302 & 25 \\ \hline 79,95442 & 93.32398 & 109.18177 & 127.99877 & 150.33393 & 245.71197 & 26 \\ \hline 87.35077 & 102.72314 & 121.09994 & 143.07864 & 169.37401 & 283.56877 & 27 \\ \hline 95.33883 & 112.96822 & 134.20994 & 159.81729 & 190.69889 & 327.10408 & 28 \\ \hline 103.96594 & 124.13536 & 148.63093 & 178.39719 & 214.58275 & 377.16969 & 29 \\ \hline 113.28321 & 136.30754 & 164.49402 & 199.02088 & 241.33268 & 434.74515 & 30 \\ \hline 123.34587 & 149.57522 & 181.94343 & 221.91317 & 271.29261 & 500.95692 & 31 \\ \hline 134.21354 & 164.03699 & 201.13777 & 247.32362 & 304.84772 & 577.10046 & 32 \\ \hline 145.95062 & 179.80032 & 222.25154 & 275.52922 & 342.42945 & 644.66553 & 33 \\ \hline 158.62667 & 196.98234 & 245.47670 & 306.83744 & 384.52098 & 765.36535 & 34 \\ \hline 172.31680 & 215.71076 & 271.02437 & 341.58955 & 431.66350 & 881.17016 & 35 \\ \hline 187.10215 & 236.12472 & 299.12681 & 380,16441 & 484.46312 & 1014.34568 & 36 \\ \hline 203.07032 & 258.37595 & 330.03949 & 422.98249 & 543.59869 & 1167.49753 & 37 \\ \hline 220.31595 & 282.62978 & 364.04343 & 470.51056 & 609.83053 & 1343.62216 & 38 \\ \hline 238.94122 & 309.06646 & 401.44778 & 523.26673 & 684.01020 & 1546.16549 & 39 \\ \hline 259.05652 & 337.88245 & 442.59256 & 581.82607 & 767.09142 & 1779.09031 & 40 \\ \hline \end{tabular} TABLE 6.5 Present va ADn,1=1+11(1+i)n11 rani e a t Fiture Vnlue of 1 (Future Value of a Single Sum) TABLE 6.2 Present Value of 1 \begin{tabular}{|c|c|c|c|c|c|c|} \hline BO & 9% & 10% & 11% & 12% & 15% & Poriods \\ \hline 92593 & 91743 & 90909 & 90090 & B9286 & 86957 & 1 \\ \hline .85734 & 84168 & .82645 & 81162 & 79719 & .75614 & 2 \\ \hline .79383 & .77218 & 75132 & .73119 & .71178 & .65752 & 3 \\ \hline .73503 & .70843 & .68301 & .65873 & 63552 & 57175 & 4 \\ \hline 68058 & 64993 & 62092 & 59345 & .56743 & 49718 & 5 \\ \hline .63017 & .59627 & .56447 & 53464 & 50663 & 43233 & 6 \\ \hline, 58349 & .54703 & .51316 & 48166 & 45235 & 37594 & 7 \\ \hline 54027 & .50187 & 46651 & .43393 & 40388 & 32690 & 8 \\ \hline .50025 & .46043 & .42410 & 39092 & 36061 & 28426 & 9 \\ \hline .46319 & 42241 & 38554 & 35218 & 32197 & 24719 & 10 \\ \hline .42888 & .38753 & 35049 & 31728 & 28748 & 21494 & 11 \\ \hline 39711 & .35554 & 31863 & .28584 & .25668 & 18691 & 12 \\ \hline 36770 & 32618 & 28966 & 25751 & 22917 & 16253 & 13 \\ \hline 34046 & 29925 & .26333 & 23199 & 20462 & .14133 & 14 \\ \hline 31524 & 27454 & 23939 & 20900 & .18270 & .12289 & 15 \\ \hline .29189 & 25187 & .21763 & .18829 & .16312 & .10687 & 16 \\ \hline .27027 & 23107 & .19785 & .16963 & .14564 & 09293 & 17 \\ \hline .25025 & .21199 & 17986 & .15282 & .13004 & .08081 & 18 \\ \hline 23171 & .19449 & .16351 & .13768 & .11611 & 07027 & 19 \\ \hline 21455 & .17843 & .14864 & +12403 & .10367 & 06110 & 20 \\ \hline .19866 & .16370 & .13513 & .11174 & .09256 & .05313 & 21 \\ \hline .18394 & .15018 & .12285 & 10067 & 08264 & .04620 & 22 \\ \hline .17032 & .13778 & .11168 & .09069 & .07379 & .04017 & 23 \\ \hline .15770 & .12641 & .10153 & .08170 & .06588 & .03493 & 24 \\ \hline .14602 & -11597 & .09230 & .07361 & 05882 & .03038 & 25 \\ \hline .13520 & .10639 & .08391 & .06631 & .05252 & .02642 & 26 \\ \hline .12519 & .09761 & .07628 & .05974 & .04689 & 02297 & 27 \\ \hline .11591 & .08955 & .06934 & .05382 & .04187 & .01997 & 28 \\ \hline .10733 & .08216 & .06304 & 04849 & .03738 & 01737 & 29 \\ \hline .09938 & .07537 & 05731 & .04368 & .03338 & .01510 & 30 \\ \hline .09202 & .06915 & .05210 & .03935 & .02980 & .01313 & 31 \\ \hline .08520 & .06344 & .04736 & .03545 & 02661 & 01142 & 32 \\ \hline .07889 & .05820 & .04306 & .03194 & .02376 & .00993 & 33 \\ \hline .07305 & .05340 & .03914 & .02878 & .02121 & .00864 & 34 \\ \hline .06763 & .04899 & .03558 & .02592 & .01894 & .00751 & 35 \\ \hline .06262 & .04494 & .03235 & .02335 & .01691 & .00653 & 36 \\ \hline .05799 & 04123 & .02941 & .02104 & .01510 & .00568 & 37 \\ \hline .05369 & .03783 & .02674 & 01896 & .01348 & .00494 & 38 \\ \hline 04971 & .03470 & .02430 & .01708 & .01204 & .00429 & 39 \\ \hline .04603 & .03184 & .02210 & 01538 & .01075 & .00373 & 40 \\ \hline \end{tabular} TABLE 6.5 Present Value of an Annuity Due of 1 \begin{tabular}{|c|c|c|c|c|c|c|} \hline 8% & 9% & 10% & 11% & 12% & 15% & (p)Periods \\ \hline 1.00000 & 1.00000 & 1.00000 & 1,00000 & 1.00000 & 1.00000 & 1 \\ \hline 1.92593 & 1.91743 & 1.90909 & 1.90090 & 1.89286 & 1.86957 & 2 \\ \hline 2.78326 & 2.75911 & 2.73554 & 2.71252 & 269005 & 2.62571 & 3 \\ \hline 3.57710 & 3.53130 & 3.48685 & 3.44371 & 3.40183 & 3.28323 & 4 \\ \hline 4.31213 & 4.23972 & 4.16986 & 4.10245 & 4.03735 & 3.85498 & 5 \\ \hline 4.99271 & 4.88965 & 4.79079 & 4.60590 & 4.60478 & 4.35216 & 6 \\ \hline 5.62288 & 5.48592 & 5.35526 & 5.23054 & 5.11141 & 4.78448 & 7 \\ \hline 6.20637 & 6.03295 & 5.86842 & 5.71220 & 5.56376 & 5. 16042 & 8 \\ \hline 6.74664 & 6.53482 & 6.33493 & 6.14612 & 5.96764 & 5.48732 & 9 \\ \hline 7.24689 & 6.99525 & 6.75902 & 6.53705 & 6.32825 & 5.77158 & 10 \\ \hline 7.71008 & 7,41766 & 7.14457 & 6.86923 & 6.65022 & 6.01877 & 11 \\ \hline 8.13896 & 7.80519 & 7.49506 & 7.20652 & 6.93770 & 6.23371 & 12 \\ \hline 8.53608 & 8.16073 & 7.81369 & 7.49236 & 7.19437 & 6.42062 & 13 \\ \hline 8. 90378 & 8.48690 & 8. 10336 & 7.74987 & 7.42355 & 6.58315 & 14 \\ \hline 9.24424 & 8.78615 & 8.36669 & 7.98187 & 7.62817 & 6.72448 & 15 \\ \hline 9.55948 & 9.06069 & 8.60608 & 8.19087 & 7.81086 & 6.84737 & 16 \\ \hline 9.85137 & 9.31256 & 8.82371 & 8.37916 & 7.97399 & 6.95424 & 17 \\ \hline 10,12164 & 9.54363 & 9.02155 & 8.54879 & 8.11963 & 7.04716 & 18 \\ \hline 10.37189 & 9.75563 & 9.20141 & 8.70162 & 8.24967 & 7.12797 & 19 \\ \hline 10.60360 & 9.95012 & 9.36492 & 8.83929 & 8.36578 & 7.19823 & 20 \\ \hline 10.81815 & 10.12855 & 9.51356 & 8.96333 & 8.46944 & 7.25933 & 21 \\ \hline 11.01680 & 10.29224 & 9.64869 & 9.07507 & 8.56200 & 7.31246 & 22 \\ \hline 11.20074 & 10.44243 & 9.77154 & 9.17574 & 8.64465 & 7.35866 & 23 \\ \hline 11,37106 & 10.58021 & 9.88322 & 926643 & 8.71843 & 7.39884 & 24 \\ \hline 11.52876 & 10.70661 & 9.98474 & 9.34814 & 8.78432 & 7.43377 & 25 \\ \hline 11.67478 & 10.82258 & 10.07704 & 9.42174 & 8.84314 & 7.46415 & 26 \\ \hline 11.80998 & 10.92897 & 10.16095 & 9.48806 & 8.89566 & 7.49056 & 27 \\ \hline 11.93518 & 11.02658 & 10.23722 & 9.54780 & 8.94255 & 7.51353 & 28 \\ \hline 12.05108 & 11.11613 & 10.30657 & 9.60162 & 8.98442 & 7.53351 & 29 \\ \hline 12.15841 & 11.19828 & 10.36961 & 9.65011 & 9.02181 & 7.55088 & 30 \\ \hline 12.25778 & 11.27365 & 10.42691 & 9.69379 & 9.05518 & 7.56598 & 31 \\ \hline 12.34980 & 11.34280 & 10.47901 & 9.73315 & 9.08499 & 7,57911 & 32 \\ \hline 12.43500 & 11.40624 & 10.52638 & 9.76860 & 9.11159 & 7.59053 & 33 \\ \hline 12.51389 & 11.46444 & 10.56943 & 9.80054 & 9.13535 & 7.60046 & 34 \\ \hline 12.58693 & 11.51784 & 10.60858 & 9.82932 & 9.15656 & 7.60910 & 35 \\ \hline 12.65457 & 11.56682 & 10.64416 & 9.85524 & 9.17550 & 7.61661 & 36 \\ \hline 12.71719 & 11.61176 & 10.67651 & 9.87859 & 9.19241 & 7.62314 & 37 \\ \hline 12.77518 & 11.65299 & 10.70592 & 9.89963 & 9.20751 & 7.62882 & 38 \\ \hline 12.82887 & 11.69082 & 10.73265 & 9.91859 & 9.22099 & 7.63375 & 39 \\ \hline 12.87858 & 11.72552 & 10.75697 & 9.93567 & 9.23303 & 7.63805 & 40 \\ \hline \end{tabular} \begin{tabular}{|c|c|c|c|c|c|c|} \hline (n)Periods & & & 3% & 4% & 5% & 6% \\ \hline 1 & 1.00000 & 1.00000 & 1.00000 & 1.00000 & 1.00000 & 1.00000 \\ \hline 2 & 1.98039 & 1.97561 & 1.97087 & 1.96154 & 1.95238 & 1.94340 \\ \hline 3 & 2.94156 & 2.92742 & 2.91347 & 2.88609 & 2.85941 & 2.83339 \\ \hline 4 & 3.88388 & 3.85602 & 3.82861 & 3.77509 & 3.72325 & 3.67301 \\ \hline 5 & 4.80773 & 4.76197 & 4.71710 & 4.62990 & 4.54595 & 4.46511 \\ \hline 6 & 5.71346 & 5.64583 & 5.57971 & 5.45182 & 5.32948 & 5.21236 \\ \hline 7 & 6.60143 & 6.50813 & 6.41719 & 6.24214 & 6.07569 & 5.91732 \\ \hline 8 & 7.47199 & 7.34939 & 7.23028 & 7.00205 & 6.78637 & 6.58238 \\ \hline 9 & 8.32548 & 8,17014 & 8.01969 & 7.73274 & 7.46321 & 7.20979 \\ \hline 10 & 9.16224 & 8.97087 & 8.78611 & 8.43533 & 8.10782 & 7.80169 \\ \hline 11 & 9.98259 & 9.75206 & 9.53020 & 9.11090 & 8.72173 & 8.36009 \\ \hline 12 & 10.78685 & 10.51421 & 10.25262 & 9.76048 & 9.30641 & 8.88687 \\ \hline 13 & 11.57534 & 11.25776 & 10.95400 & 10.38507 & 9.86325 & 9.38384 \\ \hline 14 & 12.34837 & 11.98319 & 11.63496 & 10.98565 & 10.39357 & 9.85268 \\ \hline 15 & 13.10625 & 12.69091 & 12.29607 & 11.56312 & 10.89864 & 10.29498 \\ \hline 16 & 13.84926 & 13.38138 & 12.93794 & 12.11839 & 11.37966 & 10.71225 \\ \hline 17 & 14.57771 & 14.05500 & 13.56110 & 12.65230 & 11.83777 & 10.7122511.10590 \\ \hline 18 & 15.29187 & 14.71220 & 14.16612 & 13.16567 & 12.27407 & 11.47726 \\ \hline 19 & 15.99203 & 15.35336 & 14.75351 & 13.65930 & 12.68959 & 11.82760 \\ \hline 20 & 16.67846 & 15.97889 & 15.32380 & 14.13394 & 13.08532 & 12.15812 \\ \hline 21 & 17.35143 & 16.58916 & 15.87747 & 14.59033 & 13.46221 & 12.46992 \\ \hline 22 & 18.01121 & 17.18455 & 16.41502 & 15.02916 & 13.82115 & 12.4699212.76408 \\ \hline 23 & 18.65805 & 17.76541 & 16.93692 & 15.45112 & 14.16300 & 12.7040013.04158 \\ \hline 24 & 19.29220 & 18.33211 & 17.44361 & 15.85684 & 14.48857 & 13.30338 \\ \hline 25 & 19.91393 & 18.88499 & 17.93554 & 16.24696 & 14.79864 & 13.55036 \\ \hline 26 & 20.52346 & 19.42438 & 18.41315 & 16.62208 & 15.09394 & 13.78336 \\ \hline 27 & 21.12104 & 19,95061 & 18.87684 & 16,98277 & 15.37519 & 14.00317 \\ \hline 28 & 21.70690 & 20.46401 & 19.32703 & 17.32959 & 15.64303 & 14.21053 \\ \hline 29 & 22.28127 & 20.96489 & 19,76411 & 17.66306 & 15.89813 & 14.40616 \\ \hline 30 & 22.84438 & 21.45355 & 20.18845 & 17.98371 & 16.14107 & 14.59072 \\ \hline 31 & 23.39646 & 21.93029 & 20.60044 & 18.29203 & 16.37245 & 14.76483 \\ \hline 32 & 23.93770 & 22.39541 & 21.00043 & 18.58849 & 16.59281 & 14.92909 \\ \hline 33 & 24.46833 & 22.84918 & 21.38877 & 18.87355 & 16.80268 & 15.08404 \\ \hline 34 & 24.98856 & 23.29188 & 21.76579 & 19.14765 & 17.00255 & 15.23023 \\ \hline 35 & 25.49859 & 23.72379 & 22.13184 & 19.41120 & 17.19290 & 15.36814 \\ \hline 36 & 25.99862 & 24.14516 & 22.48722 & 19.66461 & 17.37419 & 15.49825 \\ \hline 37 & 26.48884 & 24.55625 & 22.83225 & 19.90828 & 17.54685 & 15.62099 \\ \hline 38 & 26.96945 & 24,95732 & 23.16724 & 20.14258 & 17.71129 & 15.73678 \\ \hline 39 & 27.44064 & 25.34860 & 23.49246 & 20.36786 & 17.86789 & 15.84602 \\ \hline 40 & 27.90259 & 25.73034 & 23.80822 & 20.58448 & 18.01704 & 15.94907 \\ \hline \end{tabular} \begin{tabular}{|c|c|c|c|c|c|c|} \hline 8% & x & 10% & 11% & 12% & 15% & Periods \\ \hline .92503 & .91743 & .90009 & .90090 & .89286 & 86957 & 1 \\ \hline 1.78326 & 1.75911 & 1.73554 & 1.71252 & 1.69005 & 1.62571 & 2 \\ \hline 2.57710 & 2.53130 & 2.48685 & 2.44371 & 2.40183 & 2.28323 & 3 \\ \hline 3.31213 & 3.23972 & 3,16986 & 3.10245 & 3.09735 & 2.85498 & 4 \\ \hline 3.99271 & 3,88065 & 3.70070 & 3.69590 & 360478 & 3.35216 & 5 \\ \hline 4.62288 & 4.48592 & 4.35526 & 4.23054 & 4.11141 & 3.78448 & 6 \\ \hline 5.20637 & 5.03295 & 4.86842 & 4.71220 & 4.56376 & 4.16042 & 7 \\ \hline 5.74664 & 5.53482 & 5.33493 & 5.14612 & 4.96764 & 4.48732 & 8 \\ \hline 6.24689 & 5.99525 & 5.75902 & 5.53705 & 5.32825 & 4.77158 & 9 \\ \hline 6.71008 & 6.41766 & 6.14457 & 5.68923 & 5.65022 & 5.01877 & 10 \\ \hline 7,13896 & 6.80519 & 6.49506 & 6.20652 & 5.93770 & 5.23371 & 11 \\ \hline 7.53608 & 7.16073 & 6.81369 & 6.49236 & 6.10437 & 5.42062 & 12 \\ \hline 7.90378 & 7.48690 & 7.10336 & 6.74987 & 6.42355 & 5.58315 & 13 \\ \hline 8.24424 & 7.78615 & 7.36669 & 6.98187 & 6.62817 & 5.72448 & 14 \\ \hline 8.55048 & 8.06069 & 7.60608 & 7.19087 & 6.81086 & 5.84737 & is \\ \hline B.85137 & 8.31256 & 7.82371 & 7.37016 & 6.97399 & 5.95424 & 16 \\ \hline 9.12164 & 8.54363 & 8.02155 & 7.54879 & 7.11963 & 6.04716 & 17 \\ \hline 9.37189 & 8.75563 & 8.20141 & 7.70162 & 7.24967 & 6.12797 & 18 \\ \hline 9.60360 & 8.95012 & 8. 36492 & 7.83929 & 7.36578 & 6.19823 & 19 \\ \hline 9.81815 & 9.12855 & 8.51356 & 7.96333 & 7.46944 & 6.25933 & 20 \\ \hline 10.01680 & 9.29224 & 8.64869 & 8.07507 & 7.56200 & 6.31246 & 21 \\ \hline 10.20074 & 9.44243 & 8.77154 & 8.17574 & 7.64465 & 6.35866 & 22 \\ \hline 10.37106 & 9.58021 & 8.88322 & 8.26643 & 7.71843 & 6.39884 & 23 \\ \hline 10.52876 & 9.70661 & 8. 98474 & 8.34814 & 7.78432 & 6.43377 & 24 \\ \hline 10.67478 & 9.82258 & 9.07704 & 8.42174 & 7.84314 & 6.46415 & 25 \\ \hline 10.80998 & 9.92897 & 9.16095 & 8.48806 & 7.89566 & 6.49056 & 26 \\ \hline 10.93516 & 10.02658 & 9.23722 & 8.54780 & 7.94255 & 6.51353 & 27 \\ \hline 11.05108 & 10.11613 & 9.30657 & 8.60162 & 7.98442 & 6.53351 & 28 \\ \hline 11.15841 & 10.19828 & 9.36961 & 8.65011 & 8.02181 & 6.55088 & 29 \\ \hline 11.25778 & 10.27365 & 9.42691 & 8.69379 & 8.05518 & 6.56598 & 30 \\ \hline 11.34980 & 10.34280 & 9.47901 & 8.73315 & 8.08499 & 6.57911 & 31 \\ \hline 11.43500 & 10.40624 & 9.52638 & 8.76860 & 8.11159 & 6.59053 & 32 \\ \hline 11.51389 & 10.46444 & 9.56943 & 8.80054 & 8.13535 & 6.60046 & 33 \\ \hline 11.58603 & 10.51784 & 9.60858 & 8.82932 & 8. 15656 & 6.60910 & 34 \\ \hline 11,65457 & 10.56682 & 9.64416 & 8.85524 & 8.17550 & 6.61661 & 35 \\ \hline 11.71719 & 10.61176 & 9.67651 & 8.87859 & 8.19241 & 6.62314 & 36 \\ \hline 11.77518 & 10.65299 & 9.70592 & 8.89963 & 8.20751 & 6.628A2 & 37 \\ \hline 11.82887 & 10.69082 & 9.73265 & 8.91859 & 8.22099 & 6.63375 & 38 \\ \hline 11.87858 & 10.72552 & 9.75697 & 8.93567 & 8.23303 & 6.63805 & 39 \\ \hline 11.92461 & 10.75736 & 9.77905 & 8.95105 & 8.24378 & 6.64178 & 40 \\ \hline \end{tabular} rabi E at Futhers Value of 1 (Future Value of a Single Sum) TABLE 6.2 Present Value of 1 (Present Value of a Single Sum) PVFn,=(1+n)n1=(1+n)n \begin{tabular}{|c|c|c|c|c|c|c|} \hline Periods & 2% & 2%% & 3% & 4% & 5% & 6% \\ \hline 1 & .98039 & 97561 & .97087 & 96154 & 95238 & .94340 \\ \hline 2 & .96117 & 95181 & 94260 & 92456 & 90703 & 89000 \\ \hline 3 & 94232 & 92860 & 91514 & 88900 & 86384 & .83962 \\ \hline 4 & 92385 & 90595 & 88849 & 85480 & 82270 & 79209 \\ \hline 5 & 90573 & 88385 & 86261 & 82193 & .78353 & .74726 \\ \hline 6 & .88797 & 86230 & .83748 & .79031 & .74622 & .70496 \\ \hline 7 & 87056 & 84127 & 81309 & 75992 & 71068 & 66506 \\ \hline 8 & 85349 & 82075 & 78941 & 73069 & .67684 & .62741 \\ \hline 8 & 83676 & .80073 & .76642 & 70259 & .64461 & 59190 \\ \hline 10 & 82035 & .78120 & .74409 & .67556 & .61391 & 55839 \\ \hline 11 & 80426 & .76214 & 72242 & .64958 & .58468 & 52679 \\ \hline 12 & .78849 & .74356 & .70138 & 62460 & .55684 & 49697 \\ \hline 13 & .77303 & .72542 & 68095 & 60057 & .53032 & 46884 \\ \hline 14 & .75788 & .70773 & .66112 & 57748 & .50507 & 44230 \\ \hline 15 & 74301 & 69047 & .64186 & 55526 & 48102 & .41727 \\ \hline 16 & .72845 & .67362 & .62317 & 53391 & .45811 & .39365 \\ \hline 17 & .71416 & .65720 & 60502 & 51337 & .43630 & .37136 \\ \hline 18 & 70016 & 64117 & .58739 & 49363 & 41552 & 35034 \\ \hline 19 & 68643 & 62553 & .57029 & .47464 & 39573 & 33051 \\ \hline 20 & .67297 & .61027 & .55368 & 45639 & .37689 & 31180 \\ \hline 21 & .65978 & 59539 & .53755 & .43883 & .35894 & 29416 \\ \hline 22 & .64684 & 58086 & 52189 & 42196 & .34185 & 27751 \\ \hline 23 & .63416 & 56670 & .50669 & .40573 & .32557 & 26180 \\ \hline 24 & 62172 & 55288 & .49193 & 39012 & 31007 & 24698 \\ \hline 25 & .60953 & 53939 & .47761 & 37512 & .29530 & .23300 \\ \hline 26 & .59758 & .52623 & .46369 & 36069 & .28124 & 21981 \\ \hline 27 & 58586 & 51340 & .45019 & 34682 & 26785 & 20737 \\ \hline 28 & .57437 & .50088 & .43708 & 33348 & .25509 & .19563 \\ \hline 29 & 56311 & .48866 & .42435 & .32065 & 24295 & .18456 \\ \hline 30 & .55207 & .47674 & 41199 & 30832 & .23138 & .17411 \\ \hline 31 & .54125 & 46511 & 39999 & 29646 & 22036 & .16425 \\ \hline 32 & 53063 & .45377 & 38834 & 28506 & 20987 & .15496 \\ \hline 33 & 52023 & .44270 & 37703 & .27409 & .19987 & .14619 \\ \hline 34 & .51003 & 43191 & 36604 & 26355 & .19035 & .13791 \\ \hline 35 & 50003 & .42137 & 35538 & .25342 & .18129 & .13011 \\ \hline 36 & 49022 & .41109 & .34503 & 24367 & .17266 & .12274 \\ \hline 37 & 48061 & 40107 & .33498 & 23430 & .16444 & .11579 \\ \hline 38 & .47119 & .39128 & 32523 & 22529 & .15661 & .10924 \\ \hline 39 & .46195 & 38174 & 31575 & 21662 & .14915 & .10306 \\ \hline 40 & 45289 & 37243 & 30656 & 20829 & .14205 & .09722 \\ \hline \end{tabular} \begin{tabular}{|c|c|c|c|c|c|c|} \hline 8% & 9% & 10% & 11% & 12% & 15% & Periods \\ \hline 1.00000 & 1.00000 & 1.00000 & 1.00000 & 1.00000 & 1.00000 & 1 \\ \hline 2.08000 & 2.09000 & 2.10000 & 2.11000 & 2.12000 & 2.15000 & 2 \\ \hline 3.24640 & 3.27810 & 3.31000 & 3,34210 & 3.37440 & 3.47250 & 3 \\ \hline 4.50611 & 4.57313 & 4.64100 & 4.70973 & 4.77933 & 4.99338 & 4 \\ \hline 5.86660 & 5.98471 & 6.10510 & 6.22780 & 6.35285 & 6.74238 & 5 \\ \hline 7.33592 & 7.52334 & 7.71561 & 7.91286 & 8.11519 & 8.75374 & 6 \\ \hline 8.92280 & 9.20044 & 9.48717 & 9.78327 & 10.08901 & 11.06680 & 7 \\ \hline 10.63663 & 11.02847 & 11.43589 & 11.85943 & 12.29969 & 13.72682 & 8 \\ \hline 12.48756 & 13.02104 & 13.57948 & 14.16397 & 14,77566 & 16.78584 & 9 \\ \hline 14.48656 & 15.19293 & 15.93743 & 16.72201 & 17.54874 & 20.30372 & 10 \\ \hline 16.64549 & 17.56029 & 18.53117 & 19.56143 & 20.65458 & 24.34928 & 11 \\ \hline 18.97713 & 20.14072 & 21.38428 & 22.71319 & 24.13313 & 29.00167 & 12 \\ \hline 21.49530 & 22.95339 & 24.52271 & 26.21164 & 28.02911 & 34.35192 & 13 \\ \hline 24.21492 & 26.01919 & 27.97498 & 30.09492 & 32.39260 & 40.504711 & 14 \\ \hline 27.15211 & 29.36092 & 31.77248 & 34.40536 & 37.27972 & 47.58041 & 15 \\ \hline 30,32428 & 33.00340 & 35.94973 & 39.18995 & 42.75328 & 55.71747 & 16 \\ \hline 33.75023 & 36.97371 & 40.54470 & 44.50084 & 48.88367 & 65.07509 & 17 \\ \hline 37.45024 & 41.30134 & 45.59917 & 50.39593 & 55.74972 & 75.83636 & 18 \\ \hline 41,44626 & 46.01846 & 51.15909 & 56.93949 & 63.43968 & 88.21181 & 19 \\ \hline 45.76196 & 51.16012 & 57.27500 & 64.20283 & 72.05244 & 102.44358 & 20 \\ \hline 50.42292 & 56.76453 & 64.00250 & 72.26514 & 81.69874 & 118.81012 & 21 \\ \hline 55.45676 & 62.87334 & 71.40275 & 81.21431 & 92.50258 & 137.63164 & 22 \\ \hline 60.89330 & 69.53194 & 79.54302 & 91,14788 & 104.60289 & 159.27638 & 23 \\ \hline 66.76476 & 76.78981 & 88.49733 & 102.17415 & 118.15524 & 184.16784 & 24 \\ \hline 73.10594 & 84.70090 & 98.34706 & 114.41331 & 133.33387 & 212.79302 & 25 \\ \hline 79,95442 & 93.32398 & 109.18177 & 127.99877 & 150.33393 & 245.71197 & 26 \\ \hline 87.35077 & 102.72314 & 121.09994 & 143.07864 & 169.37401 & 283.56877 & 27 \\ \hline 95.33883 & 112.96822 & 134.20994 & 159.81729 & 190.69889 & 327.10408 & 28 \\ \hline 103.96594 & 124.13536 & 148.63093 & 178.39719 & 214.58275 & 377.16969 & 29 \\ \hline 113.28321 & 136.30754 & 164.49402 & 199.02088 & 241.33268 & 434.74515 & 30 \\ \hline 123.34587 & 149.57522 & 181.94343 & 221.91317 & 271.29261 & 500.95692 & 31 \\ \hline 134.21354 & 164.03699 & 201.13777 & 247.32362 & 304.84772 & 577.10046 & 32 \\ \hline 145.95062 & 179.80032 & 222.25154 & 275.52922 & 342.42945 & 644,66553 & 33 \\ \hline 158.62667 & 196.98234 & 245.47670 & 306.83744 & 384.52098 & 765.36535 & 34 \\ \hline 172.31680 & 215.71076 & 271.02437 & 341.58955 & 431.66350 & 881.17016 & 35 \\ \hline 187.10215 & 236.12472 & 299.12681 & 380.16441 & 484.46312 & 1014.34568 & 36 \\ \hline 203.07032 & 258.37595 & 330.03949 & 422.98249 & 543.59869 & 1167.49753 & 37 \\ \hline 220.31595 & 282.62978 & 364.04343 & 470.51056 & 609.83053 & 1343.62216 & 38 \\ \hline 238.94122 & 309.06646 & 401.44778 & 523.26673 & 684.01020 & 1546,16549 & 39 \\ \hline 259.05652 & 337.88245 & 442.59256 & 581.82607 & 767.09142 & 1779.09031 & 40 \\ \hline \end{tabular} PVF=OAn,1=11(1+1)n1 \begin{tabular}{|c|c|c|c|c|c|c|} \hline (n)eriods & & 2%% & 3% & 4% & 5% & 6% \\ \hline 1 & .98039 & .97561 & .97087 & .96154 & .95238 & .94340 \\ \hline 2 & 1.94156 & 1.92742 & 1.91347 & 1.88609 & 1.85941 & 1.83339 \\ \hline 3 & 2.88388 & 2.85602 & 2.82861 & 2.77509 & 2.72325 & 2.67301 \\ \hline 4 & 3.80773 & 3.76197 & 3.71710 & 3.62990 & 3.54595 & 3,46511 \\ \hline 5 & 4.71346 & 4.64583 & 4.57971 & 4.45182 & 4.32948 & 4.21236 \\ \hline 6 & 5.60143 & 5.50813 & 5.41719 & 5.24214 & 5.07569 & 4.91732 \\ \hline 7 & 6.47199 & 6.34939 & 6.23028 & 6.00205 & 5.78637 & 5.58238 \\ \hline 8 & 7.32548 & 7,17014 & 7.01969 & 6.73274 & 6.46321 & 6.20979 \\ \hline 9 & 8.16224 & 7.97087 & 7.78611 & 7.43533 & 7.10782 & 6.80169 \\ \hline 10 & 8.98259 & 8.75206 & 8.53020 & 8.11090 & 7.72173 & 7.36009 \\ \hline 11 & 9.78685 & 9.51421 & 9.25262 & 8.76048 & 8.30641 & 7.88687 \\ \hline 12 & 10.57534 & 10.25776 & 9.95400 & 9.38507 & 8.86325 & 8.38384 \\ \hline 13 & 11.34837 & 10.98319 & 10.63496 & 9.98565 & 9.39357 & 8.85268 \\ \hline 14 & 12.10625 & 11.69091 & 11.29607 & 10.56312 & 9.89864 & 9.29498 \\ \hline 15 & 12.84926 & 12.38138 & 11.93794 & 11.11839 & 10.37966 & 9.71225 \\ \hline 16 & 13.57777 & 13.05500 & 12.56110 & 11.65230 & 10.83777 & 10,10590 \\ \hline 17 & 14.29187 & 13.71220 & 13.16612 & 12.16567 & 11.27407 & 10.47726 \\ \hline 18 & 14.99203 & 14.35336 & 13.75351 & 12.65930 & 11.68959 & 10.82760 \\ \hline 19 & 15.67846 & 14.97889 & 14.32380 & 13.13394 & 12.08532 & 11.15812 \\ \hline 20 & 16.35143 & 15.58916 & 14.87747 & 13.59033 & 12.46221 & 11.46992 \\ \hline 21 & 17.01121 & 16.18455 & 15.41502 & 14.02916 & 12.82115 & 11.76408 \\ \hline 22 & 17.65805 & 16.76541 & 15.93692 & 14.45112 & 13.16300 & 12.04158 \\ \hline 23 & 18.29220 & 17.33211 & 16.44361 & 14.85684 & 13.48857 & 12.30338 \\ \hline 24 & 18.91393 & 17.88499 & 16,93554 & 15.24696 & 13.79864 & 12.55036 \\ \hline 25 & 19.52346 & 18.42438 & 17.41315 & 15.62208 & 14.09394 & 12.78336 \\ \hline 26 & 20,12104 & 18.95061 & 17.87684 & 15.98277 & 14.37519 & 13.00317 \\ \hline 27 & 20.70690 & 19.46401 & 18.32703 & 16.32959 & 14.64303 & 13.21053 \\ \hline 28 & 21.28127 & 19.96489 & 18.76411 & 16.66306 & 14.89813 & 13.40616 \\ \hline 29 & 21.84438 & 20.45355 & 19.18845 & 16.98371 & 15.14107 & 13.59072 \\ \hline 30 & 22.39646 & 20.93029 & 19.60044 & 17.29203 & 15.37245 & 13.76483 \\ \hline 31 & 22.93770 & 21.39541 & 20.00043 & 17.58849 & 15.59281 & 13.92909 \\ \hline 32 & 23.46833 & 21.84918 & 20.38877 & 17.87355 & 15.80268 & 14.08404 \\ \hline 33 & 23.98856 & 22.29188 & 20.76579 & 18.14765 & 16.00255 & 14.23023 \\ \hline 34 & 24.49859 & 22.72379 & 21.13184 & 18.41120 & 16.19290 & 14,36814 \\ \hline 35 & 24.99862 & 23.14516 & 21,48722 & 18.66461 & 16.37419 & 14.49825 \\ \hline 36 & 25.48884 & 23.55625 & 21.83225 & 18.90828 & 16.54685 & 14.62099 \\ \hline 37 & 25.96945 & 23.95732 & 22.16724 & 19.14258 & 16.71129 & 14.73678 \\ \hline 38 & 26.44064 & 24.34860 & 22,49246 & 19.36786 & 16.86789 & 14.84602 \\ \hline 39 & 26.90259 & 24.73034 & 22.80822 & 19.58448 & 17.01704 & 14.94907 \\ \hline 40 & 27.35548 & 25.10278 & 23.11477 & 19.79277 & 17.15909 & 15.04630 \\ \hline \end{tabular} \begin{tabular}{|c|c|c|c|c|c|c|} \hline 8% & 9x & 10% & 11% & 12% & 15% & Periods \\ \hline .92593 & .91743 & .90909 & .90090 & .89286 & 86957 & 1 \\ \hline 1.78326 & 1.75011 & 1.73554 & 1.71252 & 1.69005 & 1.62571 & 2 \\ \hline 2.57710 & 2.53130 & 2.48685 & 2.44371 & 2.40183 & 2.28323 & 3 \\ \hline 3.31213 & 3.23972 & 3,16986 & 3.10245 & 3.09735 & 2.85498 & 4 \\ \hline 3.99271 & 3.88005 & 3.70070 & 3.69590 & 360478 & 3.35216 & 5 \\ \hline 4.62288 & 4.48592 & 4.35526 & 4.23054 & 4.11141 & 3.78448 & 6 \\ \hline 5.20637 & 5.03295 & 4.86842 & 4.71220 & 4.56376 & 4,16042 & 7 \\ \hline 5.74664 & 5.53482 & 5.33493 & 5.14612 & 4.96764 & 4.48732 & 8 \\ \hline 6.24689 & 5.99525 & 5.75902 & 5.53705 & 5.32825 & 4.77158 & 9 \\ \hline 6.71008 & 6.41766 & 6.14457 & 5.88923 & 5.65022 & 5.01877 & 10 \\ \hline 7,13896 & 6.80519 & 6.49506 & 620652 & 5.93770 & 5.23371 & 11 \\ \hline 7.53608 & 7.16073 & 6.81369 & 6.49236 & 6.10437 & 5.42062 & 12 \\ \hline 7.90378 & 7.48690 & 7,10336 & 6.74967 & 6.42355 & 5.58315 & 13 \\ \hline B.24424 & 7.78615 & 7.36669 & 6.98187 & 6.62817 & 5.72448 & 14 \\ \hline 8. 55948 & 8.06069 & 7.60608 & 7.19087 & 6.81086 & 5.84737 & 15 \\ \hline B. 85137 & 8.31256 & 7.82371 & 7.37016 & 6.97399 & 5.05424 & 16 \\ \hline 9.12164 & 8.54363 & 8.02155 & 7.54879 & 7.11963 & 6.04716 & 17 \\ \hline 9.37189 & 8.75563 & 8.20141 & 7.70162 & 7.24967 & 6.12797 & 18 \\ \hline 9.60360 & 8.95012 & 8. 36492 & 7.83929 & 7.36578 & 6.19823 & 19 \\ \hline 9.81815 & 9.12855 & 8.51356 & 7.96393 & 7.46944 & 6.25933 & 20 \\ \hline 10.01680 & 9.29224 & 8.64869 & 8.07507 & 7.56200 & 6.31246 & 21 \\ \hline 10.20074 & 9.44243 & 8.77154 & Q. 17574 & 7.64465 & 6.35866 & 22 \\ \hline 10.37106 & 9.58021 & 8.88322 & 8.26643 & 7.71843 & 6.39884 & 23 \\ \hline 10.52876 & 9.70661 & 8.98474 & 8. 34814 & 7.78432 & 6.43377 & 24 \\ \hline 10.67478 & 9.82258 & 9.07704 & 8.42174 & 7.84314 & 6.46415 & 25 \\ \hline 10.80998 & 9.92897 & 9.16095 & 8.48806 & 7.89566 & 6.49056 & 26 \\ \hline 10.93516 & 10.02658 & 9.23722 & 8.54780 & 7.94255 & 6.51353 & 27 \\ \hline 11.05108 & 10.11613 & 9.30657 & 8.60162 & 7,98442 & 6.53351 & 28 \\ \hline 11.15841 & 10.19828 & 9.36961 & 8.65011 & 8.02181 & 6.55088 & 29 \\ \hline 11.25778 & 10.27365 & 9.42691 & 8.69379 & 8.05518 & 6.56598 & 30 \\ \hline 11.34980 & 10.34280 & 9.47901 & 8.73315 & 8.08499 & 6.57911 & 31 \\ \hline 11.43500 & 10.40624 & 9.52638 & 8.76860 & 8.11159 & 6.59053 & 32 \\ \hline 11.51389 & 10.46444 & 9.56943 & 8.80054 & 8.13535 & 6.60046 & 33 \\ \hline 11.58693 & 10.51784 & 9.60858 & 8.82932 & B. 15656 & 6.60910 & 34 \\ \hline 11.65457 & 10.56682 & 9.64416 & 8.85524 & 8.17550 & 6.61661 & 35 \\ \hline 11.71719 & 10.61176 & 9.67651 & 8.87859 & 8.19241 & 6.62314 & 36 \\ \hline 11.77518 & 10.65299 & 9.70592 & 8. 89963 & 8.20751 & 6.62882 & 37 \\ \hline 11.82887 & 10.69082 & 9.73265 & 8.01859 & 8.22099 & 6.63375 & 38 \\ \hline 11.87858 & 10.72552 & 9.75697 & 8.93567 & 8.23303 & 6.63805 & 39 \\ \hline 11.92461 & 10.75736 & 9.77905 & 8.95105 & 8.24378 & 6.64178 & 40 \\ \hline \end{tabular} TABLE 6.3 Future Value of an Ordinary Annulty of 1 FVFOAn=i(1+i)n1 (D) Periods 1 2 3 4 5 6 7 8 9 10 6.30812 11 7.43428 8.58297 9.75463 10.94972 2%% 3% 4% 6% 1.00000 1.00000 2.03000 2.04000 1.00000 3.09090 3.12160 4.18363 4.24646 5.30914 5.41632 6. 46841 6.63298 6. 80191 6.97532 7.66246 8.14201 8.39384 9.54911 9.89747 8.89234 9.21423 10.15911 10.58280 11.02656 11.49132 11.46338 12.00611 12.57789 13.18079 12 12.16872 12.48347 12.80780 13.48635 14.20679 15.02581 15.91713 14.97164 13.41209 13.79555 14.19203 16.62684 17.71298 16.86994 15.61779 18.29191 19.59863 18.88214 14 15.97394 16.51895 17.08632 21.57856 21.01507 15 17.29342 17.93193 18.59891 20.02359 23.27597 16 18.63929 19.38022 20.15688 17 20.01207 20.86473 21.76159 21.82453 23.41444 23.69751 23.65749 25.67253 22.38635 25.64541 25.84037 28.21288 28.13238 30.90565 23.9460125,11687 27.67123 30.53900 33.75999 26. 87037 29.77808 33,06595 36.78559 21 25.78332 28.67649 31.96920 35.71925 39.99273 38.50521 43.39229 41.43048 46.99583 44.50200 50.81558 47.72710 54.86451 34.15776 36.45926 41.64591 51.11345 59.15638 54.66913 63.70577 58.40258 68.52811 62.32271 73.63980 66.43885 79.05819 40.56808 47.57542 56.08494 50.00268 59.32834 70.76079 84.80168 75.29883 90.88978 80.06377 97.34316 85.06696104.18376 90.32031 111.43478 36 57.30141 63.27594 77.59831 95.83632 119.12087 66.1742281.70225 101.62814 127.26812 69.1594585.97034 107.70955 135.90421 114.09502145.05846 75.4012695.02552 120.79977 154.76197 154.76197