Verwaltungsvorschriften / AAWU

F.

Bundesministerium der Finanzen

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Ab-/Aufzinsungsfaktoren

Tabelle 1.1: Abzinsungsfaktoren

Jahre123456789101112131415
Kalkula- tionszinssatz
2,0%0,98040,96120,94230,92380,90570,88800,87060,85350,83680,82030,80430,78850,77300,75790,7430
2,1%0,97940,95930,93960,92020,90130,88280,86460,84680,82940,81230,79560,77930,76320,74750,7322
2,2%0,97850,95740,93680,91660,89690,87760,85870,84020,82210,80440,78710,77020,75360,73740,7215
2,3%0,97750,95550,93410,91310,89250,87250,85280,83370,81490,79660,77870,76120,74410,72730,7110
2,4%0,97660,95370,93130,90950,88820,86740,84700,82720,80780,78890,77040,75230,73470,71750,7006
2,5%0,97560,95180,92860,90600,88390,86230,84130,82070,80070,78120,76210,74360,72540,70770,6905
2,6%0,97470,95000,92590,90240,87960,85730,83550,81440,79370,77360,75400,73490,71630,69810,6804
2,7%0,97370,94810,92320,89890,87530,85230,82990,80800,78680,76610,74600,72640,70730,68870,6706
2,8%0,97280,94630,92050,89540,87100,84730,82420,80180,77990,75870,73800,71790,69840,67940,6609
2,9%0,97180,94440,91780,89190,86680,84240,81860,79560,77310,75140,73020,70960,68960,67020,6513
3,0%0,97090,94260,91510,88850,86260,83750,81310,78940,76640,74410,72240,70140,68100,66110,6419
3,1%0,96990,94080,91250,88500,85840,83260,80760,78330,75980,73690,71480,69330,67240,65220,6326
3,2%0,96900,93890,90980,88160,85430,82780,80210,77730,75320,72980,70720,68520,66400,64340,6235
3,3%0,96810,93710,90720,87820,85020,82300,79670,77130,74660,72280,69970,67730,65570,63470,6145
3,4%0,96710,93530,90460,87480,84610,81820,79130,76530,74010,71580,69230,66950,64750,62620,6056
3,5%0,96620,93350,90190,87140,84200,81350,78600,75940,73370,70890,68490,66180,63940,61780,5969
3,6%0,96530,93170,89930,86810,83790,80880,78070,75360,72740,70210,67770,65420,63140,60950,5883
3,7%0,96430,92990,89670,86470,83390,80410,77540,74780,72110,69540,67060,64660,62360,60130,5799
3,8%0,96340,92810,89410,86140,82990,79950,77020,74200,71490,68870,66350,63920,61580,59320,5715
3,9%0,96250,92630,89160,85810,82590,79490,76510,73630,70870,68210,65650,63180,60810,58530,5633
4,0%0,96150,92460,88900,85480,82190,79030,75990,73070,70260,67560,64960,62460,60060,57750,5553
4,1%0,96060,92280,88640,85150,81800,78580,75480,72510,69650,66910,64270,61740,59310,56980,5473
4,2%0,95970,92100,88390,84830,81410,78130,74980,71950,69050,66270,63600,61040,58580,56210,5395
4,3%0,95880,91920,88130,84500,81020,77680,74470,71400,68460,65640,62930,60340,57850,55470,5318
4,4%0,95790,91750,87880,84180,80630,77230,73980,70860,67870,65010,62270,59650,57130,54730,5242
4,5%0,95690,91570,87630,83860,80250,76790,73480,70320,67290,64390,61620,58970,56430,54000,5167
4,6%0,95600,91400,87380,83540,79860,76350,72990,69780,66710,63780,60970,58290,55730,53280,5094
4,7%0,95510,91220,87130,83220,79480,75910,72510,69250,66140,63170,60340,57630,55040,52570,5021
4,8%0,95420,91050,86880,82900,79100,75480,72020,68720,65580,62570,59710,56970,54360,51870,4950
4,9%0,95330,90880,86630,82580,78730,75050,71540,68200,65020,61980,59080,56320,53690,51190,4879
5,0%0,95240,90700,86380,82270,78350,74620,71070,67680,64460,61390,58470,55680,53030,50510,4810
5,1%0,95150,90530,86140,81960,77980,74200,70600,67170,63910,60810,57860,55050,52380,49840,4742
5,2%0,95060,90360,85890,81650,77610,73770,70130,66660,63370,60230,57260,54430,51740,49180,4675
5,3%0,94970,90190,85650,81340,77240,73360,69660,66160,62830,59660,56660,53810,51100,48530,4609
5,4%0,94880,90020,85400,81030,76880,72940,69200,65660,62290,59100,56070,53200,50470,47890,4544
5,5%0,94790,89850,85160,80720,76510,72520,68740,65160,61760,58540,55490,52600,49860,47260,4479
5,6%0,94700,89680,84920,80420,76150,72110,68290,64670,61240,57990,54920,52000,49250,46630,4416
5,7%0,94610,89510,84680,80110,75790,71710,67840,64180,60720,57440,54350,51420,48640,46020,4354
5,8%0,94520,89340,84440,79810,75430,71300,67390,63700,60200,56900,53780,50840,48050,45420,4293
5,9%0,94430,89170,84200,79510,75080,70900,66950,63220,59690,56370,53230,50260,47460,44820,4232
6,0%0,94340,89000,83960,79210,74730,70500,66510,62740,59190,55840,52680,49700,46880,44230,4173

Tabelle 1.2: Aufzinsungsfaktoren

Jahre123456789101112131415
Kalkula- tionszinssatz
2,0%1,02001,04041,06121,08241,10411,12621,14871,17171,19511,21901,24341,26821,29361,31951,3459
2,1%1,02101,04241,06431,08671,10951,13281,15661,18091,20571,23101,25681,28321,31021,33771,3658
2,2%1,02201,04451,06751,09091,11491,13951,16451,19021,21631,24311,27051,29841,32701,35621,3860
2,3%1,02301,04651,07061,09521,12041,14621,17251,19951,22711,25531,28421,31371,34401,37491,4065
2,4%1,02401,04861,07371,09951,12591,15291,18061,20891,23791,26771,29811,32921,36111,39381,4272
2,5%1,02501,05061,07691,10381,13141,15971,18871,21841,24891,28011,31211,34491,37851,41301,4483
2,6%1,02601,05271,08001,10811,13691,16651,19681,22791,25991,29261,32621,36071,39611,43241,4696
2,7%1,02701,05471,08321,11251,14251,17331,20501,23761,27101,30531,34051,37671,41391,45211,4913
2,8%1,02801,05681,08641,11681,14811,18021,21331,24721,28211,31801,35501,39291,43191,47201,5132
2,9%1,02901,05881,08951,12111,15371,18711,22151,25701,29341,33091,36951,40921,45011,49221,5354
3,0%1,03001,06091,09271,12551,15931,19411,22991,26681,30481,34391,38421,42581,46851,51261,5580
3,1%1,03101,06301,09591,12991,16491,20101,23831,27661,31621,35701,39911,44251,48721,53331,5808
3,2%1,03201,06501,09911,13431,17061,20801,24671,28661,32781,37021,41411,45931,50601,55421,6040
3,3%1,03301,06711,10231,13871,17631,21511,25521,29661,33941,38361,42921,47641,52511,57541,6274
3,4%1,03401,06921,10551,14311,18201,22211,26371,30671,35111,39701,44451,49361,54441,59691,6512
3,5%1,03501,07121,10871,14751,18771,22931,27231,31681,36291,41061,46001,51111,56401,61871,6753
3,6%1,03601,07331,11191,15201,19341,23641,28091,32701,37481,42431,47561,52871,58371,64071,6998
3,7%1,03701,07541,11521,15641,19921,24361,28961,33731,38681,43811,49131,54651,60371,66301,7246
3,8%1,03801,07741,11841,16091,20501,25081,29831,34771,39891,45201,50721,56451,62391,68561,7497
3,9%1,03901,07951,12161,16541,21081,25801,30711,35811,41101,46611,52321,58271,64441,70851,7751
4,0%1,04001,08161,12491,16991,21671,26531,31591,36861,42331,48021,53951,60101,66511,73171,8009
4,1%1,04101,08371,12811,17441,22251,27261,32481,37911,43571,49451,55581,61961,68601,75511,8271
4,2%1,04201,08581,13141,17891,22841,28001,33371,38981,44811,50901,57231,63841,70721,77891,8536
4,3%1,04301,08781,13461,18341,23431,28741,34271,40051,46071,52351,58901,65731,72861,80291,8805
4,4%1,04401,08991,13791,18801,24021,29481,35181,41131,47331,53821,60591,67651,75031,82731,9077
4,5%1,04501,09201,14121,19251,24621,30231,36091,42211,48611,55301,62291,69591,77221,85191,9353
4,6%1,04601,09411,14441,19711,25221,30981,37001,43301,49891,56791,64001,71551,79441,87691,9632
4,7%1,04701,09621,14771,20171,25821,31731,37921,44401,51191,58291,65731,73521,81681,90221,9916
4,8%1,04801,09831,15101,20631,26421,32491,38841,45511,52491,59811,67481,75521,83951,92782,0203
4,9%1,04901,10041,15431,21091,27021,33251,39771,46621,53811,61341,69251,77541,86241,95372,0494
5,0%1,05001,10251,15761,21551,27631,34011,40711,47751,55131,62891,71031,79591,88561,97992,0789
5,1%1,05101,10461,16091,22011,28241,34781,41651,48871,56471,64451,72831,81651,90912,00652,1088
5,2%1,05201,10671,16431,22481,28851,35551,42601,50011,57811,66021,74651,83731,93292,03342,1391
5,3%1,05301,10881,16761,22951,29461,36321,43551,51161,59171,67601,76491,85841,95692,06062,1698
5,4%1,05401,11091,17091,23411,30081,37101,44511,52311,60531,69201,78341,87971,98122,08822,2009
5,5%1,05501,11301,17421,23881,30701,37881,45471,53471,61911,70811,80211,90122,00582,11612,2325
5,6%1,05601,11511,17761,24351,31321,38671,46441,54641,63301,72441,82101,92292,03062,14432,2644
5,7%1,05701,11721,18091,24821,31941,39461,47411,55811,64691,74081,84001,94492,05582,17302,2968
5,8%1,05801,11941,18431,25301,32561,40251,48391,56991,66101,75731,85931,96712,08122,20192,3296
5,9%1,05901,12151,18761,25771,33191,41051,49371,58191,67521,77401,87871,98952,10692,23122,3629
6,0%1,06001,12361,19101,26251,33821,41851,50361,59381,68951,79081,89832,01222,13292,26092,3966

Barwert/Endwertfaktoren

Tabelle 2.1: Barwertfaktoren

Jahre123456789101112131415
Kalkula- tionszinssatz
2,0%0,98041,94162,88393,80774,71355,60146,47207,32558,16228,98269,786810,575311,348412,106212,8493
2,1%0,97941,93872,87833,79854,69985,58266,44727,29408,12348,93589,731410,510711,273912,021512,7537
2,2%0,97851,93592,87273,78934,68625,56386,42257,26278,08498,88939,676410,446611,200211,937612,6591
2,3%0,97751,93312,86713,78024,67275,54526,39807,23178,04668,84329,621910,383111,127211,854512,5655
2,4%0,97661,93022,86163,77114,65925,52666,37367,20088,00868,79759,567810,320211,054811,772312,4729
2,5%0,97561,92742,85603,76204,64585,50816,34947,17017,97098,75219,514210,257810,983211,690912,3814
2,6%0,97471,92462,85053,75294,63255,48986,32537,13977,93348,70709,461010,195910,912211,610312,2908
2,7%0,97371,92182,84503,74394,61925,47156,30137,10947,89628,66239,408310,134610,841911,530612,2012
2,8%0,97281,91902,83953,73494,60605,45336,27757,07937,85928,61799,356010,073910,772311,451612,1125
2,9%0,97181,91622,83413,72604,59285,43526,25387,04947,82258,57399,304110,013710,703311,373512,0247
3,0%0,97091,91352,82863,71714,57975,41726,23037,01977,78618,53029,25269,954010,635011,296111,9379
3,1%0,96991,91072,82323,70824,56675,39936,20696,99027,74998,48689,20169,894810,567311,219511,8520
3,2%0,96901,90792,81783,69944,55375,38156,18366,96087,71408,44389,15109,836210,500211,143611,7671
3,3%0,96811,90522,81243,69064,54075,36376,16046,93177,67838,40119,10089,778110,433811,068511,6830
3,4%0,96711,90242,80703,68184,52795,34616,13746,90277,64298,35879,05099,720510,367910,994111,5998
3,5%0,96621,89972,80163,67314,51515,32866,11456,87407,60778,31669,00169,663310,302710,920511,5174
3,6%0,96531,89702,79633,66444,50235,31116,09186,84547,57278,27488,95269,606710,238110,847611,4359
3,7%0,96431,89422,79103,65574,48965,29376,06926,81697,53808,23348,90399,550610,174110,775411,3553
3,8%0,96341,89152,78573,64714,47695,27646,04676,78877,50368,19238,85579,494910,110710,704011,2755
3,9%0,96251,88882,78043,63854,46445,25926,02436,76067,46938,15148,80799,439810,047910,633211,1965
4,0%0,96151,88612,77513,62994,45185,24216,00216,73277,43538,11098,76059,38519,985610,563111,1184
4,1%0,96061,88342,76983,62144,43935,22515,97996,70507,40168,07078,71349,33099,924010,493711,0410
4,2%0,95971,88072,76463,61294,42695,20825,95796,67757,36808,03078,66679,27719,862910,425010,9645
4,3%0,95881,87802,75943,60444,41465,19135,93616,65017,33477,99118,62049,22389,802310,357010,8887
4,4%0,95791,87532,75423,59594,40225,17465,91436,62297,30167,95188,57459,17109,742310,289610,8138
4,5%0,95691,87272,74903,58754,39005,15795,89276,59597,26887,91278,52899,11869,682910,222810,7395
4,6%0,95601,87002,74383,57914,37785,14135,87126,56907,23627,87408,48379,06669,623910,156710,6661
4,7%0,95511,86732,73863,57084,36565,12485,84986,54237,20377,83558,43899,01519,565610,091310,5934
4,8%0,95421,86472,73353,56254,35355,10835,82856,51587,17167,79738,39448,96419,507710,026410,5214
4,9%0,95331,86202,72843,55424,34155,09205,80746,48947,13967,75948,35028,91359,45049,962210,4502
5,0%0,95241,85942,72323,54604,32955,07575,78646,46327,10787,72178,30648,86339,39369,898610,3797
5,1%0,95151,85682,71823,53774,31755,05955,76556,43727,07637,68448,26308,81359,33739,835710,3099
5,2%0,95061,85422,71313,52954,30565,04345,74476,41137,04497,64738,21998,76419,28159,773310,2408
5,3%0,94971,85152,70803,52144,29385,02745,72406,38567,01387,61058,17718,71529,22629,711510,1723
5,4%0,94881,84892,70303,51324,28205,01145,70346,36006,98297,57398,13468,66669,17149,650310,1046
5,5%0,94791,84632,69793,50524,27034,99555,68306,33466,95227,53768,09258,61859,11719,589610,0376
5,6%0,94701,84372,69293,49714,25864,97975,66266,30936,92177,50168,05088,57089,06339,52969,9712
5,7%0,94611,84112,68793,48904,24704,96405,64246,28426,89147,46588,00938,52359,00999,47019,9055
5,8%0,94521,83852,68293,48104,23544,94845,62236,25926,86137,43037,96828,47658,95709,41129,8404
5,9%0,94431,83602,67803,47314,22384,93285,60236,23446,83147,39517,92748,43008,90469,35289,7760
6,0%0,94341,83342,67303,46514,21244,91735,58246,20986,80177,36017,88698,38388,85279,29509,7122

Tabelle 2.2: Korrekturfaktoren für Barwerte (i = Zinssatz p/100)

Sofern die laufenden Zahlungen nicht zum Ende des Jahres fällig sind, kann dies durch Multiplikation des Barwertes mit einem Korrekturfaktor berücksichtigt werden:

FälligkeitKorrekturfaktorz. B. 6 %
zu Beginn eines Jahres zu Beginn eines Vierteljahres Mitte jedes Vierteljahres Ende jedes Vierteljahres Beginn jeden Monats Ende jeden Monats1 +i 1 + 5/8i 1 + 1/2i 1 + 3/8i 1 + 13/24i 1 + 11/24i1,06 1,0375 1,03 1,0225 1,0325 1,0275

Tabelle 2.3: Endwertfaktoren

Mit dem Endwertfaktor wird eine betragsgleiche laufende jährliche Zahlung auf ein zukünftiges Jahr hin aufgezinst

Jahre123456789101112131415
Kalkula- tionszinssatz
2,0%1,00002,02003,06044,12165,20406,30817,43438,58309,754610,949712,168713,412114,680315,973917,2934
2,1%1,00002,02103,06344,12785,21456,32407,45688,61349,794210,999912,230913,487814,771016,081217,4189
2,2%1,00002,02203,06654,13395,22496,33987,47938,64399,834011,050412,293513,563914,862316,189317,5455
2,3%1,00002,02303,06954,14015,23546,35587,50198,67459,874011,101112,356413,640614,954416,298317,6732
2,4%1,00002,02403,07264,14635,24586,37177,52478,70529,914211,152112,419813,717815,047116,408217,8020
2,5%1,00002,02503,07564,15255,25636,38777,54748,73619,954511,203412,483513,795615,140416,519017,9319
2,6%1,00002,02603,07874,15875,26686,40387,57038,76719,995111,254912,547613,873815,234516,630618,0630
2,7%1,00002,02703,08174,16495,27746,41997,59328,798210,035811,306812,612013,952615,329316,743218,1952
2,8%1,00002,02803,08484,17125,28806,43607,61628,829510,076711,358812,676914,031815,424716,856618,3286
2,9%1,00002,02903,08784,17745,29856,45227,63938,860810,117811,411212,742114,111715,520916,971018,4632
3,0%1,00002,03003,09094,18365,30916,46847,66258,892310,159111,463912,807814,192015,617817,086318,5989
3,1%1,00002,03103,09404,18995,31986,48477,68578,924010,200611,516812,873814,272915,715417,202618,7358
3,2%1,00002,03203,09704,19615,33046,50107,70908,955710,242311,570012,940314,354415,813717,319718,8740
3,3%1,00002,03303,10014,20245,34116,51737,73248,987610,284211,623513,007114,436315,912717,437919,0133
3,4%1,00002,03403,10324,20875,35186,53377,75599,019610,326211,677313,074314,518916,012517,556919,1539
3,5%1,00002,03503,10624,21495,36256,55027,77949,051710,368511,731413,142014,602016,113017,677019,2957
3,6%1,00002,03603,10934,22125,37326,56667,80309,083910,411011,785813,210014,685616,214317,798019,4387
3,7%1,00002,03703,11244,22755,38396,58327,82679,116310,453611,840413,278514,769816,316317,920019,5830
3,8%1,00002,03803,11544,23385,39476,59977,85059,148810,496511,895313,347414,854616,419018,043019,7286
3,9%1,00002,03903,11854,24015,40556,61637,87449,181510,539511,950613,416714,939916,522618,166919,8754
4,0%1,00002,04003,12164,24655,41636,63307,89839,214210,582812,006113,486415,025816,626818,291920,0236
4,1%1,00002,04103,12474,25285,42726,64977,92239,247110,626312,061913,556515,112316,731918,417920,1730
4,2%1,00002,04203,12784,25915,43806,66647,94649,280110,669912,118113,627015,199316,837718,544920,3238
4,3%1,00002,04303,13084,26555,44896,68327,97069,313310,713812,174513,698015,287016,944318,672920,4759
4,4%1,00002,04403,13394,27185,45986,70007,99489,346610,757812,231213,769415,375217,051718,802020,6293
4,5%1,00002,04503,13704,27825,47076,71698,01929,380010,802112,288213,841215,464017,159918,932120,7841
4,6%1,00002,04603,14014,28465,48176,73388,04369,413610,846612,345513,913415,553417,268919,063320,9402
4,7%1,00002,04703,14324,29095,49266,75088,06819,447310,891312,403213,986115,643517,378719,195521,0977
4,8%1,00002,04803,14634,29735,50366,76788,09269,481110,936212,461114,059215,734117,489319,328821,2566
4,9%1,00002,04903,14944,30375,51466,78488,11739,515010,981312,519314,132815,825317,600719,463221,4169
5,0%1,00002,05003,15254,31015,52566,80198,14209,549111,026612,577914,206815,917117,713019,598621,5786
5,1%1,00002,05103,15564,31655,53676,81918,16689,583311,072112,636814,281216,009617,826119,735221,7417
5,2%1,00002,05203,15874,32305,54786,83628,19179,617711,117812,695914,356116,102617,940019,872921,9062
5,3%1,00002,05303,16184,32945,55886,85358,21679,652211,163712,755414,431516,196318,054720,011622,0723
5,4%1,00002,05403,16494,33585,57006,87078,24189,686811,209912,815214,507316,290618,170320,151522,2397
5,5%1,00002,05503,16804,34235,58116,88818,26699,721611,256312,875414,583516,385618,286820,292622,4087
5,6%1,00002,05603,17114,34875,59226,90548,29219,756511,302812,935814,660216,481218,404120,434722,5791
5,7%1,00002,05703,17424,35525,60346,92288,31749,791511,349612,996614,737416,577418,522320,578122,7510
5,8%1,00002,05803,17744,36175,61466,94038,34289,826711,396613,057614,815016,674318,641420,722622,9245
5,9%1,00002,05903,18054,36815,62586,95788,36839,862011,443913,119114,893116,771818,761320,868223,0995
6,0%1,00002,06003,18364,37465,63716,97538,39389,897511,491313,180814,971616,869918,882121,015123,2760

Amtliches Werk (§ 5 UrhG) · Aufbereitung © Nulegal GmbH, CC BY 4.0