What is the present value of $8,380to be received at the end of each of19periods, discounted at5% compound interest? (Round factor values to 5 decimal places, e.g. 1.25124 and final answer to 0 decimal places, e.g. 458,581.)

1.FUTURE VALUE OF 1 TABLE. Contains the amounts to which 1 will accumulate if deposited now at a specified rate and left for a specified number of periods (Table 6.1). Table6.1FUTURE VALUE OF 1 (FUTURE VALUE OF A SINGLE SUM) FVFn,i=(1+i)n (n) Periods 1 2 3 4 5% 1.05000 1.10250 1.15763 1.21551 6% 1.06000 1.12360 1.19102 1.26248 1.10408 1.13141 1.15927 1.21665 1.27628 1.12616 1.15969 1.19405 1.26532 1.34010 1.33823 1.41852 7 8 9 10 1.14869 1.17166 1.19509 1.21899 1.18869 1.21840 1.24886 1.28008 1.22987 1.26677 1.30477 1.34392 1.31593 1.36857 1.42331 1.48024 1.40710 1.47746 1.55133 1.62889 1.50363 1.59385 1.68948 1.79085 11 12 13 14 15 16 1.24337 1.26824 1.29361 1.31948 1.34587 1.37279 1.31209 1.34489 1.37851 1.41297 1.44830 1.48451 1.38423 1.42576 1.46853 1.51259 1.55797 1.60471 1.53945 1.60103 1.66507 1.73168 1.80094 1.87298 1.71034 1.79586 1.88565 1.97993 2.07893 2.18287 1.89830 2.01220 2.13293 2.26090 2.39656 2.54035 17 18 19 20 21 22 1.40024 1.42825 1.45681 1.48595 1.51567 1.54598 1.52162 1.55966 1.59865 1.63862 1.67958 1.72157 1.65285 1.70243 1.75351 1.80611 1.86029 1.91610 1.94790 2.02582 2.10685 2.19112 2.27877 2.36992 2.29202 2.40662 2.52695 2.65330 2.78596 2.92526 2.69277 2.85434 3.02560 3.20714 3.39956 3.60354 23 24 25 26 27 28 1.57690 1.60844 1.64061 1.67342 1.70689 1.74102 1.76461 1.80873 1.85394 1.90029 1.94780 1.99650 1.97359 2.03279 2.09378 2.15659 2.22129 2.28793 2.46472 2.56330 2.66584 2.77247 2.88337 2.99870 3.07152 3.22510 3.38635 3.55567 3.73346 3.92013 3.81975 4.04893 4.29187 4.54938 4.82235 5.11169 29 30 1.77584 2.04641 2.35657 3.11865 4.11614 1.81136 2.09757 2.42726 3.24340 4.32194 5.41839 5.74349 5 6 2% 1.02000 1.04040 1.06121 1.08243 2% 1.02500 1.05063 1.07689 1.10381 3% 1.03000 1.06090 1.09273 1.12551 4% 1.04000 1.08160 1.12486 1.16986 Table6.1FUTURE VALUE OF 1 (FUTURE VALUE OF A SINGLE SUM) FVFn,i=(1+i)n (n) Periods 2% 2% 3% 4% 5% 31 1.84759 2.15001 2.50008 3.37313 4.53804 6% 6.08810 32 33 34 35 36 37 1.88454 1.92223 1.96068 1.99989 2.03989 2.08069 4.76494 5.00319 5.25335 5.51602 5.79182 6.08141 6.45339 6.84059 7.25103 7.68609 8.14725 8.63609 38 2.12230 2.55568 3.07478 4.43881 6.38548 9.15425 39 40 8% 1.08000 1.16640 2.16474 2.20804 9% 1.09000 1.18810 2.61957 2.68506 10% 1.10000 1.21000 3.16703 3.26204 11% 1.11000 1.23210 4.61637 4.80102 12% 1.12000 1.25440 6.70475 7.03999 15% 1.15000 1.32250 9.70351 10.28572 (n) Periods 1 2 1.25971 1.36049 1.46933 1.58687 1.71382 1.85093 1.29503 1.41158 1.53862 1.67710 1.82804 1.99256 1.33100 1.46410 1.61051 1.77156 1.94872 2.14359 1.36763 1.51807 1.68506 1.87041 2.07616 2.30454 1.40493 1.57352 1.76234 1.97382 2.21068 2.47596 1.52088 1.74901 2.01136 2.31306 2.66002 3.05902 3 4 5 6 7 8 1.99900 2.15892 2.33164 2.51817 2.71962 2.93719 2.17189 2.36736 2.58043 2.81267 3.06581 3.34173 2.35795 2.59374 2.85312 3.13843 3.45227 3.79750 2.55803 2.83942 3.15176 3.49845 3.88328 4.31044 2.77308 3.10585 3.47855 3.89598 4.36349 4.88711 3.51788 4.04556 4.65239 5.35025 6.15279 7.07571 9 10 11 12 13 14 3.17217 3.42594 3.70002 3.99602 4.31570 3.64248 3.97031 4.32763 4.71712 5.14166 4.17725 4.59497 5.05447 5.55992 6.11591 4.78459 5.31089 5.89509 6.54355 7.26334 5.47357 6.13039 6.86604 7.68997 8.61276 8.13706 9.35762 10.76126 12.37545 14.23177 15 16 17 18 19 4.66096 5.03383 5.43654 5.60441 6.72750 8.06231 9.64629 16.36654 20 6.10881 7.40025 8.94917 10.80385 18.82152 21 6.65860 8.14028 9.93357 12.10031 21.64475 22 2.20376 2.25885 2.31532 2.37321 2.43254 2.49335 2.57508 2.65234 2.73191 2.81386 2.89828 2.98523 3.50806 3.64838 3.79432 3.94609 4.10393 4.26809 Table6.1FUTURE VALUE OF 1 (FUTURE VALUE OF A SINGLE SUM) FVFn,i=(1+i)n (n) Periods 2% 2% 3% 4% 5% 6% 5.87146 7.25787 8.95430 11.02627 13.55235 24.89146 23 6.34118 6.84847 7.39635 7.98806 8.62711 9.31727 7.91108 8.62308 9.39916 10.24508 11.16714 12.17218 9.84973 10.83471 11.91818 13.10999 14.42099 15.86309 12.23916 13.58546 15.07986 16.73865 18.57990 20.62369 15.17863 17.00000 19.04007 21.32488 23.88387 26.74993 28.62518 32.91895 37.85680 43.53532 50.06561 57.57545 24 25 26 27 28 29 10.06266 13.26768 17.44940 22.89230 29.95992 66.21177 30 10.86767 11.73708 12.67605 13.69013 14.78534 14.46177 15.76333 17.18203 18.72841 20.41397 19.19434 21.11378 23.22515 25.54767 28.10244 25.41045 28.20560 31.30821 34.75212 38.57485 33.55511 37.58173 42.09153 47.14252 52.79962 76.14354 87.56507 100.69983 115.80480 133.17552 31 32 33 34 35 15.96817 17.24563 18.62528 20.11530 21.72452 22.25123 24.25384 26.43668 28.81598 31.40942 30.91268 34.00395 37.40434 41.14479 45.25926 42.81808 47.52807 52.75616 58.55934 65.00087 59.13557 66.23184 74.17966 83.08122 93.05097 153.15185 176.12463 202.54332 232.92482 267.86355 36 37 38 39 40 2.PRESENT VALUE OF 1 TABLE. Contains the amounts that must be deposited now at a specified rate of interest to equal 1 at the end of a specified number of periods (Table 6.2). Table6.2PRESENT VALUE OF 1 (PRESENT VALUE OF A SINGLE SUM) PVFn,i=1(1+i)n=(1+i)n (n) Periods 2% 2% 3% 4% 5% 6% 1 2 3 4 5 6 .98039 .96117 .94232 .92385 .90573 .88797 .97561 .95181 .92860 .90595 .88385 .86230 .97087 .94260 .91514 .88849 .86261 .83748 .96154 .92456 .88900 .85480 .82193 .79031 .95238 .90703 .86384 .82270 .78353 .74622 .94340 .89000 .83962 .79209 .74726 .70496 7 8 .87056 .85349 .84127 .82075 .81309 .78941 .75992 .73069 .71068 .67684 .66506 .62741 Table6.2PRESENT VALUE OF 1 (PRESENT VALUE OF A SINGLE SUM) PVFn,i=1(1+i)n=(1+i)n (n) Periods 9 2% .83676 2% .80073 3% .76642 4% .70259 5% .64461 6% .59190 10 11 12 13 14 15 .82035 .80426 .78849 .77303 .75788 .74301 .78120 .76214 .74356 .72542 .70773 .69047 .74409 .72242 .70138 .68095 .66112 .64186 .67556 .64958 .62460 .60057 .57748 .55526 .61391 .58468 .55684 .53032 .50507 .48102 .55839 .52679 .49697 .46884 .44230 .41727 16 .72845 .67362 .62317 .53391 .45811 .39365 17 18 19 20 21 .71416 .70016 .68643 .67297 .65978 .65720 .64117 .62553 .61027 .59539 .60502 .58739 .57029 .55368 .53755 .51337 .49363 .47464 .45639 .43883 .43630 .41552 .39573 .37689 .35894 .37136 .35034 .33051 .31180 .29416 22 23 24 25 26 27 .64684 .63416 .62172 .60953 .59758 .58586 .58086 .56670 .55288 .53939 .52623 .51340 .52189 .50669 .49193 .47761 .46369 .45019 .42196 .40573 .39012 .37512 .36069 .34682 .34185 .32557 .31007 .29530 .28124 .26785 .27751 .26180 .24698 .23300 .21981 .20737 28 29 30 31 32 33 .57437 .56311 .55207 .54125 .53063 .52023 .50088 .48866 .47674 .46511 .45377 .44270 .43708 .42435 .41199 .39999 .38834 .37703 .33348 .32065 .30832 .29646 .28506 .27409 .25509 .24295 .23138 .22036 .20987 .19987 .19563 .18456 .17411 .16425 .15496 .14619 34 35 36 37 38 .51003 .50003 .49022 .48061 .47119 .43191 .42137 .41109 .40107 .39128 .36604 .35538 .34503 .33498 .32523 .26355 .25342 .24367 .23430 .22529 .19035 .18129 .17266 .16444 .15661 .13791 .13011 .12274 .11579 .10924 39 40 8% .46195 .45289 9% .38174 .37243 10% .31575 .30656 11% .21662 .20829 12% .14915 .14205 15% .10306 .09722 (n) Periods Table6.2PRESENT VALUE OF 1 (PRESENT VALUE OF A SINGLE SUM) PVFn,i=1(1+i)n=(1+i)n (n) Periods .92593 2% .91743 2% .90909 3% .90090 4% .89286 5% .86957 6% 1 .85734 .79383 .73503 .68058 .63017 .58349 .84168 .77218 .70843 .64993 .59627 .54703 .82645 .75132 .68301 .62092 .56447 .51316 .81162 .73119 .65873 .59345 .53464 .48166 .79719 .71178 .63552 .56743 .50663 .45235 .75614 .65752 .57175 .49718 .43233 .37594 2 3 4 5 6 7 .54027 .50187 .46651 .43393 .40388 .32690 8 .50025 .46319 .42888 .39711 .36770 .46043 .42241 .38753 .35554 .32618 .42410 .38554 .35049 .31863 .28966 .39092 .35218 .31728 .28584 .25751 .36061 .32197 .28748 .25668 .22917 .28426 .24719 .21494 .18691 .16253 9 10 11 12 13 .34046 .31524 .29189 .27027 .25025 .23171 .29925 .27454 .25187 .23107 .21199 .19449 .26333 .23939 .21763 .19785 .17986 .16351 .23199 .20900 .18829 .16963 .15282 .13768 .20462 .18270 .16312 .14564 .13004 .11611 .14133 .12289 .10687 .09293 .08081 .07027 14 15 16 17 18 19 .21455 .19866 .18394 .17032 .15770 .14602 .17843 .16370 .15018 .13778 .12641 .11597 .14864 .13513 .12285 .11168 .10153 .09230 .12403 .11174 .10067 .09069 .08170 .07361 .10367 .09256 .08264 .07379 .06588 .05882 .06110 .05313 .04620 .04017 .03493 .03038 20 21 22 23 24 25 .13520 .12519 .11591 .10733 .09938 .10639 .09761 .08955 .08216 .07537 .08391 .07628 .06934 .06304 .05731 .06631 .05974 .05382 .04849 .04368 .05252 .04689 .04187 .03738 .03338 .02642 .02297 .01997 .01737 .01510 26 27 28 29 30 .09202 .08520 .07889 .06915 .06344 .05820 .05210 .04736 .04306 .03935 .03545 .03194 .02980 .02661 .02376 .01313 .01142 .00993 31 32 33 Table6.2PRESENT VALUE OF 1 (PRESENT VALUE OF A SINGLE SUM) PVFn,i=1(1+i)n=(1+i)n (n) Periods .07305 2% .05340 2% .03914 3% .02878 4% .02121 5% .00864 6% 34 .06763 .06262 .05799 .05369 .04971 .04603 .04899 .04494 .04123 .03783 .03470 .03184 .03558 .03235 .02941 .02674 .02430 .02210 .02592 .02335 .02104 .01896 .01708 .01538 .01894 .01691 .01510 .01348 .01204 .01075 .00751 .00653 .00568 .00494 .00429 .00373 35 36 37 38 39 40 3.FUTURE VALUE OF AN ORDINARY ANNUITY OF 1 TABLE. Contains the amounts to which periodic rents of 1 will accumulate if the payments (rents) are invested at the end of each period at a specified rate of interest for a specified number of periods (Table 6.3). Table6.3FUTURE VALUE OF AN ORDINARY ANNUITY OF 1 FVF-OAn,i=(1+i)n1i (n) Periods 2% 1 1.00000 2 2.02000 3 3.06040 4 4.12161 2% 1.00000 2.02500 3.07563 4.15252 3% 1.00000 2.03000 3.09090 4.18363 4% 1.00000 2.04000 3.12160 4.24646 5% 1.00000 2.05000 3.15250 4.31013 6% 1.00000 2.06000 3.18360 4.37462 5 6 7 8 9 10 5.20404 6.30812 7.43428 8.58297 9.75463 10.94972 5.25633 6.38774 7.54743 8.73612 9.95452 11.20338 5.30914 6.46841 7.66246 8.89234 10.15911 11.46338 5.41632 6.63298 7.89829 9.21423 10.58280 12.00611 5.52563 6.80191 8.14201 9.54911 11.02656 12.57789 5.63709 6.97532 8.39384 9.89747 11.49132 13.18079 11 12 13 14 15 16 12.16872 13.41209 14.68033 15.97394 17.29342 18.63929 12.48347 13.79555 15.14044 16.51895 17.93193 19.38022 12.80780 14.19203 15.61779 17.08632 18.59891 20.15688 13.48635 15.02581 16.62684 18.29191 20.02359 21.82453 14.20679 15.91713 17.71298 19.59863 21.57856 23.65749 14.97164 16.86994 18.88214 21.01507 23.27597 25.67253 17 20.01207 20.86473 21.76159 23.69751 25.84037 28.21288 18 21.41231 22.38635 23.41444 25.64541 28.13238 30.90565 Table6.3FUTURE VALUE OF AN ORDINARY ANNUITY OF 1 FVF-OAn,i=(1+i)n1i (n) Periods 2% 2% 3% 4% 5% 19 22.84056 23.94601 25.11687 27.67123 30.53900 6% 33.75999 20 21 22 23 24 25 24.29737 25.78332 27.29898 28.84496 30.42186 32.03030 33.06595 35.71925 38.50521 41.43048 44.50200 47.72710 36.78559 39.99273 43.39229 46.99583 50.81558 54.86451 26 33.67091 36.01171 38.55304 44.31174 51.11345 59.15638 27 28 29 30 31 35.34432 37.05121 38.79223 40.56808 42.37944 37.91200 39.85980 41.85630 43.90270 46.00027 40.70963 42.93092 45.21885 47.57542 50.00268 47.08421 49.96758 52.96629 56.08494 59.32834 54.66913 58.40258 62.32271 66.43885 70.76079 63.70577 68.52811 73.63980 79.05819 84.80168 32 33 34 35 36 37 44.22703 46.11157 48.03380 49.99448 51.99437 54.03425 48.15028 50.35403 52.61289 54.92821 57.30141 59.73395 52.50276 55.07784 57.73018 60.46208 63.27594 66.17422 62.70147 66.20953 69.85791 73.65222 77.59831 81.70225 75.29883 80.06377 85.06696 90.32031 95.83632 101.62814 90.88978 97.34316 104.18376 111.43478 119.12087 127.26812 38 39 40 8% 1.00000 2.08000 56.11494 58.23724 60.40198 9% 1.00000 2.09000 62.22730 64.78298 67.40255 10% 1.00000 2.10000 69.15945 72.23423 75.40126 11% 1.00000 2.11000 85.97034 90.40915 95.02552 12% 1.00000 2.12000 107.70955 114.09502 120.79977 15% 1.00000 2.15000 135.90421 145.05846 154.76197 (n) Periods 1 2 3.24640 4.50611 5.86660 7.33592 8.92280 3.27810 4.57313 5.98471 7.52334 9.20044 3.31000 4.64100 6.10510 7.71561 9.48717 3.34210 4.70973 6.22780 7.91286 9.78327 3.37440 4.77933 6.35285 8.11519 10.08901 3.47250 4.99338 6.74238 8.75374 11.06680 3 4 5 6 7 10.63663 11.02847 11.43589 11.85943 12.29969 13.72682 12.48756 13.02104 13.57948 14.16397 14.77566 16.78584 14.48656 15.19293 15.93743 16.72201 17.54874 20.30372 8 9 10 25.54466 27.18327 28.86286 30.58443 32.34904 34.15776 26.87037 28.67649 30.53678 32.45288 34.42647 36.45926 29.77808 31.96920 34.24797 36.61789 39.08260 41.64591 Table6.3FUTURE VALUE OF AN ORDINARY ANNUITY OF 1 FVF-OAn,i=(1+i)n1i (n) Periods 2% 2% 3% 4% 5% 16.64549 17.56029 18.53117 19.56143 20.65458 24.34928 6% 11 18.97713 21.49530 24.21492 27.15211 30.32428 33.75023 29.00167 34.35192 40.50471 47.58041 55.71747 65.07509 12 13 14 15 16 17 37.45024 41.30134 45.59917 50.39593 55.74972 75.83636 18 41.44626 45.76196 50.42292 55.45676 60.89330 63.43968 88.21181 72.05244 102.44358 81.69874 118.81012 92.50258 137.63164 104.60289 159.27638 19 20 21 22 23 66.76476 76.78981 88.49733 102.17415 118.15524 184.16784 73.10594 84.70090 98.34706 114.41331 133.33387 212.79302 79.95442 93.32398 109.18177 127.99877 150.33393 245.71197 87.35077 102.72314 121.09994 143.07864 169.37401 283.56877 95.33883 112.96822 134.20994 159.81729 190.69889 327.10408 103.96594 124.13536 148.63093 178.39719 214.58275 377.16969 24 25 26 27 28 29 113.28321 136.30754 164.49402 199.02088 241.33268 434.74515 123.34587 149.57522 181.94343 221.91317 271.29261 500.95692 134.21354 164.03699 201.13777 247.32362 304.84772 577.10046 145.95062 179.80032 222.25154 275.52922 342.42945 644.66553 158.62667 196.98234 245.47670 306.83744 384.52098 765.36535 172.31680 215.71076 271.02437 341.58955 431.66350 881.17016 30 31 32 33 34 35 20.14072 22.95339 26.01919 29.36092 33.00340 36.97371 46.01846 51.16012 56.76453 62.87334 69.53194 21.38428 24.52271 27.97498 31.77248 35.94973 40.54470 51.15909 57.27500 64.00250 71.40275 79.54302 22.71319 26.21164 30.09492 34.40536 39.18995 44.50084 56.93949 64.20283 72.26514 81.21431 91.14788 24.13313 28.02911 32.39260 37.27972 42.75328 48.88367 187.10215 236.12472 299.12681 380.16441 484.46312 1014.34568 36 203.07032 258.37595 330.03949 422.98249 543.59869 1167.49753 37 220.31595 282.62978 364.04343 470.51056 609.83053 1343.62216 38 238.94122 309.06646 401.44778 523.26673 684.01020 1546.16549 39 259.05652 337.88245 442.59256 581.82607 767.09142 1779.09031 40 4.PRESENT VALUE OF AN ORDINARY ANNUITY OF 1 TABLE. Contains the amounts that must be deposited now at a specified rate of interest to permit withdrawals of 1 at the end of regular periodic intervals for the specified number of periods (Table 6.4). Table6.4PRESENT VALUE OF AN ORDINARY ANNUITY OF 1 PVF-OAn,i=11(1+i)ni (n) Periods 2% 1 .98039 2 1.94156 3 2.88388 4 3.80773 5 6 7 8 9 4.71346 5.60143 6.47199 7.32548 8.16224 2% .97561 1.92742 2.85602 3.76197 3% .97087 1.91347 2.82861 3.71710 4% .96154 1.88609 2.77509 3.62990 5% .95238 1.85941 2.72325 3.54595 6% .94340 1.83339 2.67301 3.46511 4.64583 5.50813 6.34939 7.17014 7.97087 4.57971 5.41719 6.23028 7.01969 7.78611 4.45182 5.24214 6.00205 6.73274 7.43533 4.32948 5.07569 5.78637 6.46321 7.10782 4.21236 4.91732 5.58238 6.20979 6.80169 10 11 12 13 14 15 8.98259 8.75206 8.53020 8.11090 7.72173 7.36009 9.78685 9.51421 9.25262 8.76048 8.30641 7.88687 10.57534 10.25776 9.95400 9.38507 8.86325 8.38384 11.34837 10.98319 10.63496 9.98565 9.39357 8.85268 12.10625 11.69091 11.29607 10.56312 9.89864 9.29498 12.84926 12.38138 11.93794 11.11839 10.37966 9.71225 16 17 18 19 20 21 13.57771 13.05500 12.56110 11.65230 10.83777 10.10590 14.29187 13.71220 13.16612 12.16567 11.27407 10.47726 14.99203 14.35336 13.75351 12.65930 11.68959 10.82760 15.67846 14.97889 14.32380 13.13394 12.08532 11.15812 16.35143 15.58916 14.87747 13.59033 12.46221 11.46992 17.01121 16.18455 15.41502 14.02916 12.82115 11.76408 22 23 24 25 26 27 17.65805 16.76541 15.93692 14.45112 13.16300 12.04158 18.29220 17.33211 16.44361 14.85684 13.48857 12.30338 18.91393 17.88499 16.93554 15.24696 13.79864 12.55036 19.52346 18.42438 17.41315 15.62208 14.09394 12.78336 20.12104 18.95061 17.87684 15.98277 14.37519 13.00317 20.70690 19.46401 18.32703 16.32959 14.64303 13.21053 28 21.28127 19.96489 18.76411 16.66306 14.89813 13.40616 29 21.84438 20.45355 19.18845 16.98371 15.14107 13.59072 Table6.4PRESENT VALUE OF AN ORDINARY ANNUITY OF 1 PVF-OAn,i=11(1+i)ni (n) Periods 2% 2% 3% 4% 5% 6% 30 22.39646 20.93029 19.60044 17.29203 15.37245 13.76483 31 32 33 34 35 36 22.93770 21.39541 20.00043 17.58849 15.59281 13.92909 23.46833 21.84918 20.38877 17.87355 15.80268 14.08404 23.98856 22.29188 20.76579 18.14765 16.00255 14.23023 24.49859 22.72379 21.13184 18.41120 16.19290 14.36814 24.99862 23.14516 21.48722 18.66461 16.37419 14.49825 25.48884 23.55625 21.83225 18.90828 16.54685 14.62099 37 25.96945 23.95732 22.16724 19.14258 16.71129 14.73678 38 39 40 8% .92593 26.44064 24.34860 22.49246 19.36786 16.86789 14.84602 26.90259 24.73034 22.80822 19.58448 17.01704 14.94907 27.35548 25.10278 23.11477 19.79277 17.15909 15.04630 9% 10% 11% 12% 15% (n) Periods .91743 .90909 .90090 .89286 .86957 1 1.78326 2.57710 3.31213 3.99271 4.62288 5.20637 1.75911 2.53130 3.23972 3.88965 4.48592 5.03295 1.73554 2.48685 3.16986 3.79079 4.35526 4.86842 1.71252 2.44371 3.10245 3.69590 4.23054 4.71220 1.69005 2.40183 3.03735 3.60478 4.11141 4.56376 1.62571 2.28323 2.85498 3.35216 3.78448 4.16042 2 3 4 5 6 7 5.74664 6.24689 6.71008 7.13896 7.53608 7.90378 5.53482 5.99525 6.41766 6.80519 7.16073 7.48690 5.33493 5.75902 6.14457 6.49506 6.81369 7.10336 5.14612 5.53705 5.88923 6.20652 6.49236 6.74987 4.96764 5.32825 5.65022 5.93770 6.19437 6.42355 4.48732 4.77158 5.01877 5.23371 5.42062 5.58315 8 9 10 11 12 13 8.24424 8.55948 8.85137 9.12164 9.37189 7.78615 8.06069 8.31256 8.54363 8.75563 7.36669 7.60608 7.82371 8.02155 8.20141 6.98187 7.19087 7.37916 7.54879 7.70162 6.62817 6.81086 6.97399 7.11963 7.24967 5.72448 5.84737 5.95424 6.04716 6.12797 14 15 16 17 18 9.60360 8.95012 8.36492 7.83929 7.36578 6.19823 19 9.81815 9.12855 8.51356 7.96333 7.46944 6.25933 20 10.01680 9.29224 8.64869 8.07507 7.56200 6.31246 21 Table6.4PRESENT VALUE OF AN ORDINARY ANNUITY OF 1 PVF-OAn,i=11(1+i)ni (n) Periods 2% 2% 3% 4% 5% 6% 10.20074 9.44243 8.77154 8.17574 7.64465 6.35866 22 10.37106 10.52876 10.67478 10.80998 10.93516 11.05108 9.58021 8.88322 9.70661 8.98474 9.82258 9.07704 9.92897 9.16095 10.02658 9.23722 10.11613 9.30657 8.26643 8.34814 8.42174 8.48806 8.54780 8.60162 7.71843 7.78432 7.84314 7.89566 7.94255 7.98442 6.39884 6.43377 6.46415 6.49056 6.51353 6.53351 23 24 25 26 27 28 11.15841 10.19828 9.36961 8.65011 8.02181 6.55088 29 11.25778 11.34980 11.43500 11.51389 11.58693 10.27365 9.42691 10.34280 9.47901 10.40624 9.52638 10.46444 9.56943 10.51784 9.60858 8.69379 8.73315 8.76860 8.80054 8.82932 8.05518 8.08499 8.11159 8.13535 8.15656 6.56598 6.57911 6.59053 6.60046 6.60910 30 31 32 33 34 11.65457 11.71719 11.77518 11.82887 11.87858 11.92461 10.56682 9.64416 10.61176 9.67651 10.65299 9.70592 10.69082 9.73265 10.72552 9.75697 10.75736 9.77905 8.85524 8.87859 8.89963 8.91859 8.93567 8.95105 8.17550 8.19241 8.20751 8.22099 8.23303 8.24378 6.61661 6.62314 6.62882 6.63375 6.63805 6.64178 35 36 37 38 39 40 5.PRESENT VALUE OF AN ANNUITY DUE OF 1 TABLE. Contains the amounts that must be deposited now at a specified rate of interest to permit withdrawals of 1 at the beginning of regular periodic intervals for the specified number of periods (Table 6.5). Table6.5PRESENT VALUE OF AN ANNUITY DUE OF 1 PVF-ADn,i=1+11(1+i)n1i (n) Periods 2% 1 1.00000 2 1.98039 3 2.94156 4 3.88388 2% 1.00000 1.97561 2.92742 3.85602 3% 1.00000 1.97087 2.91347 3.82861 4% 1.00000 1.96154 2.88609 3.77509 5% 1.00000 1.95238 2.85941 3.72325 6% 1.00000 1.94340 2.83339 3.67301 5 4.80773 4.76197 4.71710 4.62990 4.54595 4.46511 6 5.71346 5.64583 5.57971 5.45182 5.32948 5.21236 Table6.5PRESENT VALUE OF AN ANNUITY DUE OF 1 PVF-ADn,i=1+11(1+i)n1i (n) Periods 2% 2% 3% 4% 5% 6% 7 6.60143 6.50813 6.41719 6.24214 6.07569 5.91732 8 9 10 11 12 13 7.47199 7.34939 7.23028 7.00205 6.78637 8.32548 8.17014 8.01969 7.73274 7.46321 9.16224 8.97087 8.78611 8.43533 8.10782 9.98259 9.75206 9.53020 9.11090 8.72173 10.78685 10.51421 10.25262 9.76048 9.30641 11.57534 11.25776 10.95400 10.38507 9.86325 6.58238 7.20979 7.80169 8.36009 8.88687 9.38384 14 12.34837 11.98319 11.63496 10.98565 10.39357 9.85268 15 16 17 18 19 13.10625 12.69091 12.29607 11.56312 10.89864 10.29498 13.84926 13.38138 12.93794 12.11839 11.37966 10.71225 14.57771 14.05500 13.56110 12.65230 11.83777 11.10590 15.29187 14.71220 14.16612 13.16567 12.27407 11.47726 15.99203 15.35336 14.75351 13.65930 12.68959 11.82760 20 21 22 23 24 25 16.67846 15.97889 15.32380 14.13394 13.08532 12.15812 17.35143 16.58916 15.87747 14.59033 13.46221 12.46992 18.01121 17.18455 16.41502 15.02916 13.82115 12.76408 18.65805 17.76541 16.93692 15.45112 14.16300 13.04158 19.29220 18.33211 17.44361 15.85684 14.48857 13.30338 19.91393 18.88499 17.93554 16.24696 14.79864 13.55036 26 27 28 29 30 31 20.52346 19.42438 18.41315 16.62208 15.09394 13.78336 21.12104 19.95061 18.87684 16.98277 15.37519 14.00317 21.70690 20.46401 19.32703 17.32959 15.64303 14.21053 22.28127 20.96489 19.76411 17.66306 15.89813 14.40616 22.84438 21.45355 20.18845 17.98371 16.14107 14.59072 23.39646 21.93029 20.60044 18.29203 16.37245 14.76483 32 33 34 35 36 23.93770 22.39541 21.00043 18.58849 16.59281 14.92909 24.46833 22.84918 21.38877 18.87355 16.80268 15.08404 24.98856 23.29188 21.76579 19.14765 17.00255 15.23023 25.49859 23.72379 22.13184 19.41120 17.19290 15.36814 25.99862 24.14516 22.48722 19.66461 17.37419 15.49825 37 38 39 26.48884 24.55625 22.83225 19.90828 17.54685 15.62099 26.96945 24.95732 23.16724 20.14258 17.71129 15.73678 27.44064 25.34860 23.49246 20.36786 17.86789 15.84602 Table6.5PRESENT VALUE OF AN ANNUITY DUE OF 1 PVF-ADn,i=1+11(1+i)n1i (n) Periods 2% 2% 3% 4% 5% 6% 40 27.90259 25.73034 23.80822 20.58448 18.01704 15.94907 8% 1.00000 1.92593 2.78326 3.57710 4.31213 9% 1.00000 1.91743 2.75911 3.53130 4.23972 10% 1.00000 1.90909 2.73554 3.48685 4.16986 11% 1.00000 1.90090 2.71252 3.44371 4.10245 12% 1.00000 1.89286 2.69005 3.40183 4.03735 15% (n) Periods 1.00000 1 1.86957 2 2.62571 3 3.28323 4 3.85498 5 4.99271 4.88965 4.79079 4.69590 4.60478 4.35216 5.62288 6.20637 6.74664 7.24689 7.71008 5.48592 6.03295 6.53482 6.99525 7.41766 5.35526 5.86842 6.33493 6.75902 7.14457 5.23054 5.71220 6.14612 6.53705 6.88923 5.11141 5.56376 5.96764 6.32825 6.65022 4.78448 7 5.16042 8 5.48732 9 5.77158 10 6.01877 11 8.13896 8.53608 8.90378 9.24424 9.55948 9.85137 7.80519 8.16073 8.48690 8.78615 9.06069 9.31256 7.49506 7.81369 8.10336 8.36669 8.60608 8.82371 7.20652 7.49236 7.74987 7.98187 8.19087 8.37916 6.93770 7.19437 7.42355 7.62817 7.81086 7.97399 6.23371 6.42062 6.58315 6.72448 6.84737 6.95424 12 13 14 15 16 17 10.12164 10.37189 10.60360 10.81815 11.01680 11.20074 9.54363 9.02155 9.75563 9.20141 9.95012 9.36492 10.12855 9.51356 10.29224 9.64869 10.44243 9.77154 8.54879 8.70162 8.83929 8.96333 9.07507 9.17574 8.11963 8.24967 8.36578 8.46944 8.56200 8.64465 7.04716 7.12797 7.19823 7.25933 7.31246 7.35866 18 19 20 21 22 23 11.37106. 11.52876 11.67478 11.80998 11.93518 10.58021 9.88322 9.26643 10.70661 9.98474 9.34814 10.82258 10.07704 9.42174 10.92897 10.16095 9.48806 11.02658 10.23722 9.54780 8.71843 8.78432 8.84314 8.89566 8.94255 7.39884 7.43377 7.46415 7.49056 7.51353 24 25 26 27 28 6 12.05108 11.11613 10.30657 9.60162 8.98442 7.53351 29 12.15841 11.19828 10.36961 9.65011 9.02181 7.55088 30 12.25778 11.27365 10.42691 9.69379 9.05518 7.56598 31 Table6.5PRESENT VALUE OF AN ANNUITY DUE OF 1 PVF-ADn,i=1+11(1+i)n1i (n) Periods 2% 2% 3% 4% 5% 6% 12.34980 11.34280 10.47901 9.73315 9.08499 7.57911 32 12.43500 12.51389 12.58693 12.65457 12.71719 12.77518 11.40624 10.52638 9.76860 11.46444 10.56943 9.80054 11.51784 10.60858 9.82932 11.56682 10.64416 9.85524 11.61176 10.67651 9.87859 11.65299 10.70592 9.89963 9.11159 9.13535 9.15656 9.17550 9.19241 9.20751 7.59053 7.60046 7.60910 7.61661 7.62314 7.62882 33 34 35 36 37 38 12.82887 11.69082 10.73265 9.91859 9.22099 7.63375 39 12.87858 11.72552 10.75697 9.93567 9.23303 7.63805 40