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[{"$f":"IF(YEAR(TODAY())>Hilfe!E1,\"Version ist ungültig\",\"Zukunfts-Simulator\")","v":"Zukunfts-Simulator"}]
[]
["Wussten Sie, dass …"]
[]
["… der DAX® in den Jahren 2000 bis 2003 ca. 70% und in den darauffolgenden Jahren 2008 bis 2009 ca. 50% verloren hatte?"]
["… der DAX® nach sieben Jahren (2007) oder nach sechs Jahren (2013) die alten Höchststände wieder erreicht hatte? "]
["…, dass Sie ca. 7,7% p.a. erwirtschaftet hätten, wenn Sie am absoluten DAX®-Höchstand (2/2000) mit einem Sparvertrag begonnen und bis 2014 gespart hätten?"]
[]
["Aber wie geht es weiter?"]
[]
["Der heutige DAX® steht bei:",null,null,null,16000]
["Niemand kann in die Zukunft schauen. Daher wissen wir heute nicht, ob sich der Aktienindex aufwärts oder abwärts entwickelt. Aus diesem Grund werden verschiedene Kursverläufe per Zufall simuliert, um mögliche Auswirkungen deutlich zu machen. "]
[null,null,null,null,null,null,{"$f":"\"Beispiel- rendite zu Kursverlauf: \"&FIXED(Berechnung!O16*100,2)&\"%\"","v":"Beispiel- rendite zu Kursverlauf: 3,98%"}]
["Für die Simulationen schätzen Sie lediglich drei Dinge: \n\n1) Wie lange soll der Sparvertrag laufen?\n2) Wie tief wird der Kurs des DAX® Ihrer Meinung nach in der Laufzeit maximal fallen?\n3) Wie hoch wird der Kurs des DAX® am Ende des Sparvertrages sein? "]
[]
["Laufzeit",null,null,null,30]
[{"$f":"\"Erwarteter maximaler Rückgang in den \"&E21&\" Jahren\"","v":"Erwarteter maximaler Rückgang in den 30 Jahren"},null,null,null,0.7]
[{"$f":"\"DAX® in \"&FIXED(E21,0)&\" Jahren\"","v":"DAX® in 30 Jahren"},null,null,null,16000]
[null,null,null,null,{"$f":"\"(DAX® heute: \"&FIXED(E16,0)&\" Punkte)\"","v":"(DAX® heute: 16.000 Punkte)"}]
[]
["Zur besseren Einschätzung der möglichen DAX®-Werte bei einer bestimmten jährlichen Wertentwicklung finden Sie hier eine Übersicht: "]
[0.01,0.02,0.03,0.04,0.05,0.06]
[{"$f":"$E$16*(1+A27)^$E$21","v":21565.5826453265},{"$f":"$E$16*(1+B27)^$E$21","v":28981.785345653654},38836.199539034547,51894.360160440679,69151.078002410606,91895.858766612146]
[]
["Da Kurse nicht vorhersehbar sind, werden diese per Zufall simuliert. In der untenstehenden Tabelle sind 60 Wertentwicklungen mit 60 verschiedenen Kursverläufen (die Ihre Vorgaben erfüllen), aufgeführt."]
[]
[]
[{"$f":"\"Mittelwert der 60 Werte bei einem Rückgang von \"&FIXED(E22*100,0)&\"%:\"","v":"Mittelwert der 60 Werte bei einem Rückgang von 70%:"},null,null,null,null,{"$f":"AVERAGE(A40:F49)","v":4.5694794246165973E-2}]
[{"$f":"\"Mittelwert der 60 Werte bei einem Rückgang von \"&FIXED('Berechnung niedrig Rückgang'!M9*100,0)&\"%:\"","v":"Mittelwert der 60 Werte bei einem Rückgang von 30%:"},null,null,null,null,{"$f":"AVERAGE(A52:F61)","v":6.7657762486717137E-3}]
["Wertentwicklung Ihrer DAX®-Prognose:",null,null,null,null,{"$f":"(E23/E16)^(1/E21)-1","v":0}]
[]
["Um deutlich zu machen, dass starke Rückgänge für Sparverträge sehr positiv sind (denn man kann mit dem Cost-Average-Effekt von Sparplänen günstig einsteigen), werden mit den gleichen Zufallskursen die Renditen bei einem schwächeren Rückgang berechnet."]
["Gut zu erkennen ist der Effekt, dass je sicherer Sie bei Sparverträgen investieren (kleinerer Rückgang bei Finanzkrisen), desto geringer ist die Renditeerwartung. Selbstverständlich sollte bei Sparverträgen dafür gesorgt werden, dass zum Ablauf kein Kursturz das Kapital gefährdet. Ein Ablaufmanagement sollte deshalb vereinbart werden!"]
[{"$f":"\" 60 Werte bei einem Rückgang von \"&FIXED(E22*100,0)&\"%:\"","v":" 60 Werte bei einem Rückgang von 70%:"}]
[4.9129217800592803E-2,5.3785977592475748E-2,4.8930291697104028E-2,4.6965745883784264E-2,4.8730687460406992E-2,3.8594441429957244E-2]
[4.8185481041461461E-2,4.3390501303840895E-2,4.2759260437754514E-2,5.2682709410144371E-2,4.8044482826874013E-2,3.8177017730402232E-2]
[4.8641497289290916E-2,3.7939420012995773E-2,5.1531579111501566E-2,4.7614479084729912E-2,5.3202091685840648E-2,4.7332683217960025E-2]
[4.5756662160748696E-2,4.9808742592838795E-2,5.0673627925735515E-2,5.1205107166934029E-2,4.6793914127025271E-2,5.0594699077368563E-2]
[5.4659831865735552E-2,4.3912594758641316E-2,4.6678516985530452E-2,4.801941951458271E-2,4.7993267831486199E-2,4.3148042847807849E-2]
[5.0532924627745675E-2,3.9672436946675979E-2,4.4247167929197889E-2,3.5655503642621281E-2,4.8275984213454151E-2,4.8202280002507522E-2]
[4.3431074494434091E-2,4.5610937962903574E-2,4.7629903417687636E-2,4.4617010962704061E-2,3.3988015925825218E-2,4.3259590237167439E-2]
[4.7432436784363333E-2,4.8223787869105299E-2,4.9630914948087412E-2,4.4222945649977231E-2,4.3110271998527294E-2,5.3773644539525461E-2]
[3.3916450408770046E-2,3.5231547246824625E-2,3.3803831092636752E-2,3.9867339768624652E-2,4.684101345770976E-2,5.4330586250196669E-2]
[3.920537176457984E-2,5.2728682431143314E-2,4.1418440560636663E-2,3.9322122081906642E-2,4.8788586912983586E-2,3.9834858769883089E-2]
[]
[{"$f":"\" 60 Werte bei einem Rückgang von \"&FIXED('Berechnung niedrig Rückgang'!M9*100,0)&\"%:\"","v":" 60 Werte bei einem Rückgang von 30%:"}]
[2.2135332278511045E-3,1.3459654365700001E-2,1.0440226041760838E-2,5.5039498556419836E-3,1.488036201267888E-2,-4.4157101225899805E-4]
[1.1957507032032282E-2,4.7406791433796574E-3,4.5396136492541345E-3,1.5854998020762307E-2,7.6235350538394215E-3,2.7966729717152101E-3]
[1.0511433428840164E-2,-5.6022904105742129E-3,1.1978577940626556E-2,7.253807180609334E-3,1.6465419498027052E-2,1.134355648402708E-2]
[6.8581102657848479E-3,1.1850856408184202E-2,1.3420041717976727E-2,1.34764583699439E-2,1.0153295666974085E-2,1.4945584688435086E-2]
[1.3639224562998074E-2,4.2767723715956317E-3,8.300817190253041E-3,3.3324857110219788E-3,3.1738542427283178E-5,2.4168958731568004E-4]
[1.1158981990297502E-2,5.9498876254638639E-3,7.5205087357112909E-3,-6.4924446901470955E-4,1.2389419761897341E-2,1.3726552551655211E-2]
[3.6716010065192817E-3,4.3633096756553096E-3,1.1192485158320506E-2,3.4082874920881288E-4,-8.7273363918022144E-3,1.3066118211804349E-3]
[7.9777161387286424E-3,1.3169941511532075E-2,9.1560133280149409E-3,9.0292303597000467E-3,-5.2717236522065722E-4,1.4257347557369727E-2]
[-1.6437533476673716E-3,2.5175858044655165E-3,6.9394106947092329E-3,-5.1745284875507006E-3,9.3956467576924753E-3,1.5984366698387563E-2]
[1.0312049769566375E-3,1.4268421959280256E-2,-2.2101286419474739E-3,-1.1720596372839936E-2,1.371535024463668E-2,1.490172322139174E-3]
[]
["Nutzen Sie extreme Kursschwankungen, um bei Sparverträgen Gewinne zu optimieren. Je geringer die Kursschwankungen sind, desto schwächer ist dieser Effekt!"]
[]
["Helvetia schweizerische Lebensversicherungs-AG\nWeißadlergasse 2\n60311 Frankfurt a.M.\nT +49 (0)69 1332-575\n\nAufsichtsratsvorsitzender: Dr. Markus Gemperle\nVorstand: Dipl.-Kfm. Volker Steck (Vors.), Dipl.-Kfm. Burkhard Gierse, Alexander Schorn\nLandesbank Hessen-Thüringen Girozentrale\nKto: 15425036, BLZ: 500 500 00 , IBAN: DE97500500000015425036, BIC: HELADEFFXXX\nRegistergericht Frankfurt a.M. HRB 28138, USt-IdNr. DE 811311232\n"]
["Quelle: Eigene Berechnungen auf Basis Ihrer Angaben und der gesetzlichen Daten.",null,null,null,null,null,{"$f":"Hilfe!E2","v":"Stand 1/2022"}]
["Für die Richtigkeit der Angaben kann keine Gewähr übernommen werden, denn Programm- und Berechnungsfehler sind trotz sorgfältigstem Vorgehen nicht ausgeschlossen.                                                                          "]

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[{"$f":"Berechnung!A1","v":"Monate"},{"$f":"Berechnung!E1","v":"Kurs"},null,"Jahr",2022,null,null,"Zelle aus Monaten",null,{"$f":"Uebersicht!E21*12+1","v":361}]
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[{"$f":"Berechnung!A3","v":2},{"$f":"Berechnung!E3","v":15224.763254519114},null,"Monatsbeitrag",null,null,100]
[{"$f":"Berechnung!A4","v":3},{"$f":"Berechnung!E4","v":15758.199570923831},null,"Volatilität",7.0000000000000007E-2,-7.0000000000000007E-2]
[{"$f":"Berechnung!A5","v":4},{"$f":"Berechnung!E5","v":15012.076557809254}]
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[{"$f":"Berechnung!A8","v":7},{"$f":"Berechnung!E8","v":15672.234663101226},null,{"$f":"\"Dax® in \"&FIXED(Uebersicht!E21,0)&\" Jahren\"","v":"Dax® in 30 Jahren"},null,null,11400,"Rendite"]
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[{"$f":"Berechnung!A11","v":10},{"$f":"Berechnung!E11","v":15366.608743748704},null,{"$f":"'Berechnung niedrig'!M8","v":12800},null,null,{"$f":"'Berechnung niedrig'!O14","v":45333.031161364212},{"$f":"'Berechnung niedrig'!O16","v":1.4867282999341123E-2}]
[{"$f":"Berechnung!A12","v":11},{"$f":"Berechnung!E12","v":15116.587311509706}]
[{"$f":"Berechnung!A13","v":12},{"$f":"Berechnung!E13","v":14891.886365426572}]
[{"$f":"Berechnung!A14","v":13},{"$f":"Berechnung!E14","v":14393.631381810754}]
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[571,0,-6.4988734467288728E-2,26.666666666666657,19140.151248235808,5.2246191110541631E-3,3.3573987006823152,64261.118931689896,57100]
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[573,0,-3.0342454423788884E-2,26.666666666666657,18364.404641157565,5.4453167393123114E-3,3.368131554869056,61853.730758266538,57300]
[574,0,-5.8658513138928142E-2,26.666666666666657,17312.27840987526,5.7762472178681029E-3,3.373907802086924,58410.031198979144,57400]
[575,0,-2.7049530075400396E-2,26.666666666666657,16869.934760218293,5.9277051998929027E-3,3.3798355072868169,57017.604508197903,57500]
[576,0,-3.5675671194513744E-2,26.666666666666657,16293.803830074661,6.1373023170576482E-3,3.3859728096038744,55170.376733652272,57600]
[577,0,-5.8158675661867276E-2,26.666666666666657,15371.293546472274,6.5056333546469865E-3,3.3924784429585215,52146.781996794634,57700]
[578,0,6.7194406782742494E-2,26.666666666666657,16432.617015325082,6.0854579588108127E-3,3.3985639009173325,{"$f":"G579*E579","v":55847.298985883746},57800]
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[581,0,-6.2377913501042187E-2,26.666666666666657,15771.844584191718,6.3404124651488787E-3,3.4167293439372894,53888.124198826263,58100]
[582,0,1.5448750418882717E-2,26.666666666666657,16042.578508162806,6.2334119137467756E-3,3.422962755851036,54913.148741257559,58200]
[583,0,-2.1015995431367951E-3,26.666666666666657,16035.474056511497,6.2361736015776334E-3,3.4291989294526135,54988.830467854386,58300]
[584,0,-4.3305784476226544E-2,26.666666666666657,15366.557118793387,6.507638583381793E-3,3.4357065680359953,52794.981221138718,58400]
[585,0,3.2260757668946531E-2,26.666666666666657,15889.820847746643,6.2933371595678585E-3,3.441999905195563,54692.761851518429,58500]
[586,0,-6.1281206498141588E-2,26.666666666666657,14941.105956317455,6.6929449729066157E-3,3.4486928501684697,51527.285285161546,58600]
[587,0,6.6708243957771821E-2,26.666666666666657,15966.246450622602,6.2632128540205832E-3,3.4549560630224905,55162.679978289882,58700]
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[595,0,-5.2425784526566502E-2,26.666666666666657,16377.844859961708,6.1058094550929705E-3,3.5037457919567347,57383.805009411073,59500]
[596,0,-6.3088678433026429E-2,26.666666666666657,15369.572574074042,6.5063618079193473E-3,3.5102521537646543,53951.075230585564,59600]
[597,0,5.9638858505654181E-2,26.666666666666657,16314.453374338444,6.1295342053748116E-3,3.5163816879700289,57367.845094764547,59700]
[598,0,4.4078221874494686E-2,26.666666666666657,17061.407555850285,5.8611811289690707E-3,3.522242869098998,60094.421100385429,59800]
[599,0,3.5210205769620959E-2,26.666666666666657,17689.748832098328,5.6529915121546793E-3,3.5278958606111526,62407.591680010664,59900]
[600,0,2.8427537347419929E-3,26.666666666666657,{"$f":"MAX(IF(A601=$M$5,$M$8,IF(A601=$M$5/2,$M$2,(E600+D601)*(1+C601))),$M$2)","v":17766.778905090352},5.6284822664928328E-3,3.5335243428776453,62779.345755661794,60000]

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["Monate","Verlust?","Volatilität","Verlust / Gewinn","Kurs","neue Anteile","Gesamtanteile","Anteilguthaben","Beitrag",null,null,"Verlust mtl.",{"$f":"(Uebersicht!E16-Berechnung!M2)/(M5/2)","v":62.222222222222221}]
[1,{"$f":"IF(A2<M11*12/2+1,1,0)","v":1},{"$f":"'Berechnung niedrig Rückgang'!C2","v":2.7316374330955136E-2},{"$f":"IF(B2=1,-$M$1,$M$4)","v":-62.222222222222221},{"$f":"MAX(M7-D2,M2)","v":16062.222222222223},{"$f":"$M$10/E2","v":6.2257885998893191E-3},{"$f":"F2","v":6.2257885998893191E-3},{"$f":"G2*E2","v":100},{"$f":"$M$10*A2","v":100},null,null,"Minimalwert",{"$f":"M7*(1-M9)","v":4800.0000000000009}]
[2,{"$f":"IF(A3<$M$11*12/2+1,1,0)","v":1},{"$f":"'Berechnung niedrig Rückgang'!C3","v":-4.8452296592555302E-2},{"$f":"IF(B3=1,-$M$1,$M$4)","v":-62.222222222222221},{"$f":"MAX(IF(A3=$M$5,$M$8,IF(A3=$M$5/2,$M$2,(E2+D3)*(1+C3))),$M$2)","v":15224.763254519114},{"$f":"$M$10/E3","v":6.5682466340038059E-3},{"$f":"G2+F3","v":1.2794035233893126E-2},{"$f":"G3*E3","v":194.78615750599891},{"$f":"$M$10*A3","v":200},null,null,"max. Gewinn",{"$f":"M8-M2","v":11200}]
[3,{"$f":"IF(A4<$M$11*12/2+1,1,0)","v":1},{"$f":"'Berechnung niedrig Rückgang'!C4","v":3.9284875625936203E-2},{"$f":"IF(B4=1,-$M$1,$M$4)","v":-62.222222222222221},{"$f":"MAX(IF(A4=$M$5,$M$8,IF(A4=$M$5/2,$M$2,(E3+D4)*(1+C4))),$M$2)","v":15758.199570923831},{"$f":"$M$10/E4","v":6.3459026235785547E-3},{"$f":"G3+F4","v":1.913993785747168E-2},{"$f":"G4*E4","v":301.610960533119},{"$f":"$M$10*A4","v":300},null,null,"Gewinn mtl.",{"$f":"M3/(M5/2)","v":62.222222222222221}]
[4,1,{"$f":"'Berechnung niedrig Rückgang'!C5","v":-4.3571723869041332E-2},-62.222222222222221,15012.076557809254,6.6613036254454874E-3,2.5801241482917167E-2,387.33021242807649,400,null,null,"Raten",{"$f":"Uebersicht!E21*12","v":360}]
[5,1,{"$f":"'Berechnung niedrig Rückgang'!C6","v":5.5724263643514391E-2},-62.222222222222221,15782.923960015421,6.3359615907255685E-3,3.2137203073642734E-2,507.21903239887718,500]
[6,1,{"$f":"'Berechnung niedrig Rückgang'!C7","v":2.0198196809336003E-2},-62.222222222222221,16038.231565474018,6.2351013945498206E-3,3.8372304468192557E-2,615.42390476174558,600,null,null,"Dax heute",{"$f":"Uebersicht!E16","v":16000}]
[7,1,{"$f":"'Berechnung niedrig Rückgang'!C8","v":-1.9014428047945772E-2},-62.222222222222221,15672.234663101226,6.3807109930175054E-3,4.4753015461210063E-2,701.37976018948143,700,null,null,"Dax Zukunft",{"$f":"Uebersicht!E23","v":16000}]
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[13,1,{"$f":"'Berechnung niedrig Rückgang'!C14","v":-2.9402740155339641E-2},-62.222222222222221,14393.631381810754,6.9475170891461135E-3,8.4268747932405255E-2,1212.9332947457683,1300,null,null,{"$f":"\"Ablauf in \"&FIXED(Uebersicht!E21,0)&\" Jahren\"","v":"Ablauf in 30 Jahren"},null,null,{"$f":"VLOOKUP(M5,A:I,8)","v":69124.857834758048}]
[14,1,{"$f":"'Berechnung niedrig Rückgang'!C15","v":-6.6261244977439404E-3},-62.222222222222221,14236.447458268991,7.0242242872126607E-3,9.1292972219617921E-2,1299.6876023138011,1400,null,null,{"$f":"\"Beitragsumme über \"&FIXED(Uebersicht!E21,0)&\" Jahren\"","v":"Beitragsumme über 30 Jahren"},null,null,{"$f":"VLOOKUP(Uebersicht!E21*12,Berechnung!A1:I601,9)","v":36000}]
[15,1,{"$f":"'Berechnung niedrig Rückgang'!C16","v":3.0662416030842451E-2},-62.222222222222221,10237.0005,9.7684863842685161E-3,0.10106145860388643,1034.5662022587148,1500,null,null,"Rendite p.a.",null,null,{"$f":"RATE(M5,-M10,0,O14,0,1%)*12","v":3.9773044319072109E-2}]
[16,1,{"$f":"'Berechnung niedrig Rückgang'!C17","v":1.7938671937786151E-2},-62.222222222222221,10357.300287342545,9.6550256558852552E-3,0.11071648425977169,1146.7238742372897,1600]
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[23,1,{"$f":"'Berechnung niedrig Rückgang'!C24","v":-5.9589855087834043E-2},-62.222222222222221,11367.549467310564,8.7969707356513396E-3,0.17359615968033876,1973.3629325013944,2300]
[24,1,{"$f":"'Berechnung niedrig Rückgang'!C25","v":5.3832513286926759E-2},-62.222222222222221,11913.921424222615,8.3935420118422515E-3,0.18198970169218101,2168.2110059783581,2400]
[25,1,{"$f":"'Berechnung niedrig Rückgang'!C26","v":1.9486916591744674E-3},-62.222222222222221,11874.794509382375,8.4211983559790583E-3,0.19041090004816008,2261.0903104184476,2500]
[26,1,{"$f":"'Berechnung niedrig Rückgang'!C27","v":-5.1626989970053105E-2},-62.222222222222221,11202.724736170407,8.9263998138888918E-3,0.19933729986204898,2233.1209000059939,2600]
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[29,1,{"$f":"'Berechnung niedrig Rückgang'!C30","v":-2.3092663043118855E-2},-62.222222222222221,10208.78776633867,9.7954823127706665E-3,0.22820093641223588,2329.6549279122623,2900]
[30,1,{"$f":"'Berechnung niedrig Rückgang'!C31","v":-2.3416670066096101E-2},-62.222222222222221,9908.9667664658537,1.0091869551770244E-2,0.23829280596400612,2361.2354949852329,3000]
[31,1,{"$f":"'Berechnung niedrig Rückgang'!C32","v":6.7507826891840761E-2},-62.222222222222221,10511.476870384608,9.5134110299708117E-3,0.24780621699397692,2604.8093182696975,3100]
[32,1,{"$f":"'Berechnung niedrig Rückgang'!C33","v":6.1258944873383847E-2},-62.222222222222221,11089.364962622114,9.0176489219230011E-3,0.25682386591589995,2848.0135802529408,3200]
[33,1,{"$f":"'Berechnung niedrig Rückgang'!C34","v":-3.771876279661554E-2},-62.222222222222221,10611.212559050327,9.4239936711766059E-3,0.26624785958707653,2825.2126314706547,3300]
[34,1,{"$f":"'Berechnung niedrig Rückgang'!C35","v":-3.4531732359304998E-2},-62.222222222222221,10184.715425855862,9.8186346715324752E-3,0.27606649425860902,2811.6586826376042,3400]
[35,1,{"$f":"'Berechnung niedrig Rückgang'!C36","v":3.0503092933307802E-2},-62.222222222222221,10431.260554540853,9.5865690898180849E-3,0.28565306334842711,2979.721531990207,3500]
[36,1,{"$f":"'Berechnung niedrig Rückgang'!C37","v":1.2889819114658654E-2},-62.222222222222221,10502.693360815179,9.521367192637754E-3,0.29517443054106485,3100.1265319260433,3600]
[37,1,{"$f":"'Berechnung niedrig Rückgang'!C38","v":6.3204444087112538E-3},-62.222222222222221,10506.459556025187,9.5179541182978753E-3,0.30469238465936271,3201.2382164524638,3700]
[38,1,{"$f":"'Berechnung niedrig Rückgang'!C39","v":4.1014719009294792E-3},-62.222222222222221,10487.074079754197,9.5355481652460942E-3,0.31422793282460881,3295.331609459698,3800]
[39,1,{"$f":"'Berechnung niedrig Rückgang'!C40","v":5.7727423593105766E-2},-62.222222222222221,11026.651696607098,9.0689361332388883E-3,0.32329686895784771,3564.8819686018137,3900]
[40,1,{"$f":"'Berechnung niedrig Rückgang'!C41","v":2.8453314248381434E-2},-62.222222222222221,11276.403831773763,8.868075451344503E-3,0.3321649444091922,3745.626051916734,4000]
[41,1,{"$f":"'Berechnung niedrig Rückgang'!C42","v":1.1252387576135427E-2},-62.222222222222221,11340.367927371384,8.8180560490138601E-3,0.34098300045820606,3866.872682175102,4100]
[42,1,{"$f":"'Berechnung niedrig Rückgang'!C43","v":3.8370734954235819E-2},-62.222222222222221,11710.896444776692,8.5390559528516815E-3,0.34952205641105777,4093.2166077952947,4200]
[43,1,{"$f":"'Berechnung niedrig Rückgang'!C44","v":1.7789858994352314E-3},-62.222222222222221,11669.397049743509,8.569423045057669E-3,0.35809147945611541,4178.7116539034814,4300]
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