final exam 422/acc
rose.angel13- 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) Periods2%2½%3%4%5%6%11.020001.025001.030001.040001.050001.0600021.040401.050631.060901.081601.102501.1236031.061211.076891.092731.124861.157631.1910241.082431.103811.125511.169861.215511.2624851.104081.131411.159271.216651.276281.3382361.126161.159691.194051.265321.340101.4185271.148691.188691.229871.315931.407101.5036381.171661.218401.266771.368571.477461.5938591.195091.248861.304771.423311.551331.68948101.218991.280081.343921.480241.628891.79085111.243371.312091.384231.539451.710341.89830121.268241.344891.425761.601031.795862.01220131.293611.378511.468531.665071.885652.13293141.319481.412971.512591.731681.979932.26090151.345871.448301.557971.800942.078932.39656161.372791.484511.604711.872982.182872.54035171.400241.521621.652851.947902.292022.69277181.428251.559661.702432.025822.406622.85434191.456811.598651.753512.106852.526953.02560201.485951.638621.806112.191122.653303.20714211.515671.679581.860292.278772.785963.39956221.545981.721571.916102.369922.925263.60354231.576901.764611.973592.464723.071523.81975241.608441.808732.032792.563303.225104.04893251.640611.853942.093782.665843.386354.29187261.673421.900292.156592.772473.555674.54938271.706891.947802.221292.883373.733464.82235281.741021.996502.287932.998703.920135.11169291.775842.046412.356573.118654.116145.41839301.811362.097572.427263.243404.321945.74349311.847592.150012.500083.373134.538046.08810321.884542.203762.575083.508064.764946.45339331.922232.258852.652343.648385.003196.84059341.960682.315322.731913.794325.253357.25103351.999892.373212.813863.946095.516027.68609362.039892.432542.898284.103935.791828.14725372.080692.493352.985234.268096.081418.63609382.122302.555683.074784.438816.385489.15425392.164742.619573.167034.616376.704759.70351402.208042.685063.262044.801027.0399910.285728%9%10%11%12%15%(n) Periods1.080001.090001.100001.110001.120001.1500011.166401.188101.210001.232101.254401.3225021.259711.295031.331001.367631.404931.5208831.360491.411581.464101.518071.573521.7490141.469331.538621.610511.685061.762342.0113651.586871.677101.771561.870411.973822.3130661.713821.828041.948722.076162.210682.6600271.850931.992562.143592.304542.475963.0590281.999002.171892.357952.558032.773083.5178892.158922.367362.593742.839423.105854.04556102.331642.580432.853123.151763.478554.65239112.518172.812673.138433.498453.895985.35025122.719623.065813.452273.883284.363496.15279132.937193.341733.797504.310444.887117.07571143.172173.642484.177254.784595.473578.13706153.425943.970314.594975.310896.130399.35762163.700024.327635.054475.895096.8660410.76126173.996024.717125.559926.543557.6899712.37545184.315705.141666.115917.263348.6127614.23177194.660965.604416.727508.062319.6462916.36654205.033836.108817.400258.9491710.8038518.82152215.436546.658608.140289.9335712.1003121.64475225.871467.257878.9543011.0262713.5523524.89146236.341187.911089.8497312.2391615.1786328.62518246.848478.6230810.8347113.5854617.0000032.91895257.396359.3991611.9181815.0798619.0400737.85680267.9880610.2450813.1099916.7386521.3248843.53532278.6271111.1671414.4209918.5799023.8838750.06561289.3172712.1721815.8630920.6236926.7499357.575452910.0626613.2676817.4494022.8923029.9599266.211773010.8676714.4617719.1943425.4104533.5551176.143543111.7370815.7633321.1137828.2056037.5817387.565073212.6760517.1820323.2251531.3082142.09153100.699833313.6901318.7284125.5476734.7521247.14252115.804803414.7853420.4139728.1024438.5748552.79962133.175523515.9681722.2512330.9126842.8180859.13557153.151853617.2456324.2538434.0039547.5280766.23184176.124633718.6252826.4366837.4043452.7561674.17966202.543323820.1153028.8159841.1447958.5593483.08122232.924823921.7245231.4094245.2592665.0008793.05097267.8635540 - 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) Periods2%2½%3%4%5%6%1.98039.97561.97087.96154.95238.943402.96117.95181.94260.92456.90703.890003.94232.92860.91514.88900.86384.839624.92385.90595.88849.85480.82270.792095.90573.88385.86261.82193.78353.747266.88797.86230.83748.79031.74622.704967.87056.84127.81309.75992.71068.665068.85349.82075.78941.73069.67684.627419.83676.80073.76642.70259.64461.5919010.82035.78120.74409.67556.61391.5583911.80426.76214.72242.64958.58468.5267912.78849.74356.70138.62460.55684.4969713.77303.72542.68095.60057.53032.4688414.75788.70773.66112.57748.50507.4423015.74301.69047.64186.55526.48102.4172716.72845.67362.62317.53391.45811.3936517.71416.65720.60502.51337.43630.3713618.70016.64117.58739.49363.41552.3503419.68643.62553.57029.47464.39573.3305120.67297.61027.55368.45639.37689.3118021.65978.59539.53755.43883.35894.2941622.64684.58086.52189.42196.34185.2775123.63416.56670.50669.40573.32557.2618024.62172.55288.49193.39012.31007.2469825.60953.53939.47761.37512.29530.2330026.59758.52623.46369.36069.28124.2198127.58586.51340.45019.34682.26785.2073728.57437.50088.43708.33348.25509.1956329.56311.48866.42435.32065.24295.1845630.55207.47674.41199.30832.23138.1741131.54125.46511.39999.29646.22036.1642532.53063.45377.38834.28506.20987.1549633.52023.44270.37703.27409.19987.1461934.51003.43191.36604.26355.19035.1379135.50003.42137.35538.25342.18129.1301136.49022.41109.34503.24367.17266.1227437.48061.40107.33498.23430.16444.1157938.47119.39128.32523.22529.15661.1092439.46195.38174.31575.21662.14915.1030640.45289.37243.30656.20829.14205.097228%9%10%11%12%15%(n) Periods.92593.91743.90909.90090.89286.869571.85734.84168.82645.81162.79719.756142.79383.77218.75132.73119.71178.657523.73503.70843.68301.65873.63552.571754.68058.64993.62092.59345.56743.497185.63017.59627.56447.53464.50663.432336.58349.54703.51316.48166.45235.375947.54027.50187.46651.43393.40388.326908.50025.46043.42410.39092.36061.284269.46319.42241.38554.35218.32197.2471910.42888.38753.35049.31728.28748.2149411.39711.35554.31863.28584.25668.1869112.36770.32618.28966.25751.22917.1625313.34046.29925.26333.23199.20462.1413314.31524.27454.23939.20900.18270.1228915.29189.25187.21763.18829.16312.1068716.27027.23107.19785.16963.14564.0929317.25025.21199.17986.15282.13004.0808118.23171.19449.16351.13768.11611.0702719.21455.17843.14864.12403.10367.0611020.19866.16370.13513.11174.09256.0531321.18394.15018.12285.10067.08264.0462022.17032.13778.11168.09069.07379.0401723.15770.12641.10153.08170.06588.0349324.14602.11597.09230.07361.05882.0303825.13520.10639.08391.06631.05252.0264226.12519.09761.07628.05974.04689.0229727.11591.08955.06934.05382.04187.0199728.10733.08216.06304.04849.03738.0173729.09938.07537.05731.04368.03338.0151030.09202.06915.05210.03935.02980.0131331.08520.06344.04736.03545.02661.0114232.07889.05820.04306.03194.02376.0099333.07305.05340.03914.02878.02121.0086434.06763.04899.03558.02592.01894.0075135.06262.04494.03235.02335.01691.0065336.05799.04123.02941.02104.01510.0056837.05369.03783.02674.01896.01348.0049438.04971.03470.02430.01708.01204.0042939.04603.03184.02210.01538.01075.0037340 - 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)n−1i(n) Periods2%2½%3%4%5%6%11.000001.000001.000001.000001.000001.0000022.020002.025002.030002.040002.050002.0600033.060403.075633.090903.121603.152503.1836044.121614.152524.183634.246464.310134.3746255.204045.256335.309145.416325.525635.6370966.308126.387746.468416.632986.801916.9753277.434287.547437.662467.898298.142018.3938488.582978.736128.892349.214239.549119.8974799.754639.9545210.1591110.5828011.0265611.491321010.9497211.2033811.4633812.0061112.5778913.180791112.1687212.4834712.8078013.4863514.2067914.971641213.4120913.7955514.1920315.0258115.9171316.869941314.6803315.1404415.6177916.6268417.7129818.882141415.9739416.5189517.0863218.2919119.5986321.015071517.2934217.9319318.5989120.0235921.5785623.275971618.6392919.3802220.1568821.8245323.6574925.672531720.0120720.8647321.7615923.6975125.8403728.212881821.4123122.3863523.4144425.6454128.1323830.905651922.8405623.9460125.1168727.6712330.5390033.759992024.2973725.5446626.8703729.7780833.0659536.785592125.7833227.1832728.6764931.9692035.7192539.992732227.2989828.8628630.5367834.2479738.5052143.392292328.8449630.5844332.4528836.6178941.4304846.995832430.4218632.3490434.4264739.0826044.5020050.815582532.0303034.1577636.4592641.6459147.7271054.864512633.6709136.0117138.5530444.3117451.1134559.156382735.3443237.9120040.7096347.0842154.6691363.705772837.0512139.8598042.9309249.9675858.4025868.528112938.7922341.8563045.2188552.9662962.3227173.639803040.5680843.9027047.5754256.0849466.4388579.058193142.3794446.0002750.0026859.3283470.7607984.801683244.2270348.1502852.5027662.7014775.2988390.889783346.1115750.3540355.0778466.2095380.0637797.343163448.0338052.6128957.7301869.8579185.06696104.183763549.9944854.9282160.4620873.6522290.32031111.434783651.9943757.3014163.2759477.5983195.83632119.120873754.0342559.7339566.1742281.70225101.62814127.268123856.1149462.2273069.1594585.97034107.70955135.904213958.2372464.7829872.2342390.40915114.09502145.058464060.4019867.4025575.4012695.02552120.79977154.761978%9%10%11%12%15%(n) Periods1.000001.000001.000001.000001.000001.0000012.080002.090002.100002.110002.120002.1500023.246403.278103.310003.342103.374403.4725034.506114.573134.641004.709734.779334.9933845.866605.984716.105106.227806.352856.7423857.335927.523347.715617.912868.115198.7537468.922809.200449.487179.7832710.0890111.06680710.6366311.0284711.4358911.8594312.2996913.72682812.4875613.0210413.5794814.1639714.7756616.78584914.4865615.1929315.9374316.7220117.5487420.303721016.6454917.5602918.5311719.5614320.6545824.349281118.9771320.1407221.3842822.7131924.1331329.001671221.4953022.9533924.5227126.2116428.0291134.351921324.2149226.0191927.9749830.0949232.3926040.504711427.1521129.3609231.7724834.4053637.2797247.580411530.3242833.0034035.9497339.1899542.7532855.717471633.7502336.9737140.5447044.5008448.8836765.075091737.4502441.3013445.5991750.3959355.7497275.836361841.4462646.0184651.1590956.9394963.4396888.211811945.7619651.1601257.2750064.2028372.05244102.443582050.4229256.7645364.0025072.2651481.69874118.810122155.4567662.8733471.4027581.2143192.50258137.631642260.8933069.5319479.5430291.14788104.60289159.276382366.7647676.7898188.49733102.17415118.15524184.167842473.1059484.7009098.34706114.41331133.33387212.793022579.9544293.32398109.18177127.99877150.33393245.711972687.35077102.72314121.09994143.07864169.37401283.568772795.33883112.96822134.20994159.81729190.69889327.1040828103.96594124.13536148.63093178.39719214.58275377.1696929113.28321136.30754164.49402199.02088241.33268434.7451530123.34587149.57522181.94343221.91317271.29261500.9569231134.21354164.03699201.13777247.32362304.84772577.1004632145.95062179.80032222.25154275.52922342.42945644.6655333158.62667196.98234245.47670306.83744384.52098765.3653534172.31680215.71076271.02437341.58955431.66350881.1701635187.10215236.12472299.12681380.16441484.463121014.3456836203.07032258.37595330.03949422.98249543.598691167.4975337220.31595282.62978364.04343470.51056609.830531343.6221638238.94122309.06646401.44778523.26673684.010201546.1654939259.05652337.88245442.59256581.82607767.091421779.0903140 - 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=1−1(1+i)ni(n) Periods2%2½%3%4%5%6%1.98039.97561.97087.96154.95238.9434021.941561.927421.913471.886091.859411.8333932.883882.856022.828612.775092.723252.6730143.807733.761973.717103.629903.545953.4651154.713464.645834.579714.451824.329484.2123665.601435.508135.417195.242145.075694.9173276.471996.349396.230286.002055.786375.5823887.325487.170147.019696.732746.463216.2097998.162247.970877.786117.435337.107826.80169108.982598.752068.530208.110907.721737.36009119.786859.514219.252628.760488.306417.886871210.5753410.257769.954009.385078.863258.383841311.3483710.9831910.634969.985659.393578.852681412.1062511.6909111.2960710.563129.898649.294981512.8492612.3813811.9379411.1183910.379669.712251613.5777113.0550012.5611011.6523010.8377710.105901714.2918713.7122013.1661212.1656711.2740710.477261814.9920314.3533613.7535112.6593011.6895910.827601915.6784614.9788914.3238013.1339412.0853211.158122016.3514315.5891614.8774713.5903312.4622111.469922117.0112116.1845515.4150214.0291612.8211511.764082217.6580516.7654115.9369214.4511213.1630012.041582318.2922017.3321116.4436114.8568413.4885712.303382418.9139317.8849916.9355415.2469613.7986412.550362519.5234618.4243817.4131515.6220814.0939412.783362620.1210418.9506117.8768415.9827714.3751913.003172720.7069019.4640118.3270316.3295914.6430313.210532821.2812719.9648918.7641116.6630614.8981313.406162921.8443820.4535519.1884516.9837115.1410713.590723022.3964620.9302919.6004417.2920315.3724513.764833122.9377021.3954120.0004317.5884915.5928113.929093223.4683321.8491820.3887717.8735515.8026814.084043323.9885622.2918820.7657918.1476516.0025514.230233424.4985922.7237921.1318418.4112016.1929014.368143524.9986223.1451621.4872218.6646116.3741914.498253625.4888423.5562521.8322518.9082816.5468514.620993725.9694523.9573222.1672419.1425816.7112914.736783826.4406424.3486022.4924619.3678616.8678914.846023926.9025924.7303422.8082219.5844817.0170414.949074027.3554825.1027823.1147719.7927717.1590915.046308%9%10%11%12%15%(n) Periods.92593.91743.90909.90090.89286.8695711.783261.759111.735541.712521.690051.6257122.577102.531302.486852.443712.401832.2832333.312133.239723.169863.102453.037352.8549843.992713.889653.790793.695903.604783.3521654.622884.485924.355264.230544.111413.7844865.206375.032954.868424.712204.563764.1604275.746645.534825.334935.146124.967644.4873286.246895.995255.759025.537055.328254.7715896.710086.417666.144575.889235.650225.01877107.138966.805196.495066.206525.937705.23371117.536087.160736.813696.492366.194375.42062127.903787.486907.103366.749876.423555.58315138.244247.786157.366696.981876.628175.72448148.559488.060697.606087.190876.810865.84737158.851378.312567.823717.379166.973995.95424169.121648.543638.021557.548797.119636.04716179.371898.755638.201417.701627.249676.12797189.603608.950128.364927.839297.365786.19823199.818159.128558.513567.963337.469446.259332010.016809.292248.648698.075077.562006.312462110.200749.442438.771548.175747.644656.358662210.371069.580218.883228.266437.718436.398842310.528769.706618.984748.348147.784326.433772410.674789.822589.077048.421747.843146.464152510.809989.928979.160958.488067.895666.490562610.9351610.026589.237228.547807.942556.513532711.0510810.116139.306578.601627.984426.533512811.1584110.198289.369618.650118.021816.550882911.2577810.273659.426918.693798.055186.565983011.3498010.342809.479018.733158.084996.579113111.4350010.406249.526388.768608.111596.590533211.5138910.464449.569438.800548.135356.600463311.5869310.517849.608588.829328.156566.609103411.6545710.566829.644168.855248.175506.616613511.7171910.611769.676518.878598.192416.623143611.7751810.652999.705928.899638.207516.628823711.8288710.690829.732658.918598.220996.633753811.8785810.725529.756978.935678.233036.638053911.9246110.757369.779058.951058.243786.6417840 - 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+1−1(1+i)n−1i(n) Periods2%2½%3%4%5%6%11.000001.000001.000001.000001.000001.0000021.980391.975611.970871.961541.952381.9434032.941562.927422.913472.886092.859412.8333943.883883.856023.828613.775093.723253.6730154.807734.761974.717104.629904.545954.4651165.713465.645835.579715.451825.329485.2123676.601436.508136.417196.242146.075695.9173287.471997.349397.230287.002056.786376.5823898.325488.170148.019697.732747.463217.20979109.162248.970878.786118.435338.107827.80169119.982599.752069.530209.110908.721738.360091210.7868510.5142110.252629.760489.306418.886871311.5753411.2577610.9540010.385079.863259.383841412.3483711.9831911.6349610.9856510.393579.852681513.1062512.6909112.2960711.5631210.8986410.294981613.8492613.3813812.9379412.1183911.3796610.712251714.5777114.0550013.5611012.6523011.8377711.105901815.2918714.7122014.1661213.1656712.2740711.477261915.9920315.3533614.7535113.6593012.6895911.827602016.6784615.9788915.3238014.1339413.0853212.158122117.3514316.5891615.8774714.5903313.4622112.469922218.0112117.1845516.4150215.0291613.8211512.764082318.6580517.7654116.9369215.4511214.1630013.041582419.2922018.3321117.4436115.8568414.4885713.303382519.9139318.8849917.9355416.2469614.7986413.550362620.5234619.4243818.4131516.6220815.0939413.783362721.1210419.9506118.8768416.9827715.3751914.003172821.7069020.4640119.3270317.3295915.6430314.210532922.2812720.9648919.7641117.6630615.8981314.406163022.8443821.4535520.1884517.9837116.1410714.590723123.3964621.9302920.6004418.2920316.3724514.764833223.9377022.3954121.0004318.5884916.5928114.929093324.4683322.8491821.3887718.8735516.8026815.084043424.9885623.2918821.7657919.1476517.0025515.230233525.4985923.7237922.1318419.4112017.1929015.368143625.9986224.1451622.4872219.6646117.3741915.498253726.4888424.5562522.8322519.9082817.5468515.620993826.9694524.9573223.1672420.1425817.7112915.736783927.4406425.3486023.4924620.3678617.8678915.846024027.9025925.7303423.8082220.5844818.0170415.949078%9%10%11%12%15%(n) Periods1.000001.000001.000001.000001.000001.0000011.925931.917431.909091.900901.892861.8695722.783262.759112.735542.712522.690052.6257133.577103.531303.486853.443713.401833.2832344.312134.239724.169864.102454.037353.8549854.992714.889654.790794.695904.604784.3521665.622885.485925.355265.230545.111414.7844876.206376.032955.868425.712205.563765.1604286.746646.534826.334936.146125.967645.4873297.246896.995256.759026.537056.328255.77158107.710087.417667.144576.889236.650226.01877118.138967.805197.495067.206526.937706.23371128.536088.160737.813697.492367.194376.42062138.903788.486908.103367.749877.423556.58315149.244248.786158.366697.981877.628176.72448159.559489.060698.606088.190877.810866.84737169.851379.312568.823718.379167.973996.954241710.121649.543639.021558.548798.119637.047161810.371899.755639.201418.701628.249677.127971910.603609.950129.364928.839298.365787.198232010.8181510.128559.513568.963338.469447.259332111.0168010.292249.648699.075078.562007.312462211.2007410.442439.771549.175748.644657.358662311.37106.10.580219.883229.266438.718437.398842411.5287610.706619.984749.348148.784327.433772511.6747810.8225810.077049.421748.843147.464152611.8099810.9289710.160959.488068.895667.490562711.9351811.0265810.237229.547808.942557.513532812.0510811.1161310.306579.601628.984427.533512912.1584111.1982810.369619.650119.021817.550883012.2577811.2736510.426919.693799.055187.565983112.3498011.3428010.479019.733159.084997.579113212.4350011.4062410.526389.768609.111597.590533312.5138911.4644410.569439.800549.135357.600463412.5869311.5178410.608589.829329.156567.609103512.6545711.5668210.644169.855249.175507.616613612.7171911.6117610.676519.878599.192417.623143712.7751811.6529910.705929.899639.207517.628823812.8288711.6908210.732659.918599.220997.633753912.8785811.7255210.756979.935679.233037.6380540
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