subjekt wrong!home-mathe- Home ∙ Kurz-erklaert.de

... hier werden jährliche Ein- und Auszahlungen vorgenommen!

... ohne Anfangskapital:

Die Zahlungen oder Entnahmen in der Rentenrechnung kann entweder nachschüssig am Ende oder vorschüssig am Beginn eines Jahres, d.h. die Rate r wird verzinst (· q), sein:

Bei der Endwertformel wird der Betrag der Ein- oder Auszahlungen (Entnahmen) für mehrere Jahre n bestimmt:

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... mit Anfangskapital:

Die Kombinierte Zinseszins-Rentenformel nimmt man her, wenn ein Anfangskapital vorhanden ist und gleichmäßige jährliche Ein- oder Auszahlungen verrechnet werden.

Die Kombinierte Zinseszins-/Rentenformel

Kapitalmehrung (+)    ... jährliche Einzahlung

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Kapitalminderung ()    ... jährliche Auszahlung

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Kn: Kapital nach n Jahren

Ko: Anfangskapital

n: Zeit in Jahren

q: Zinsfaktor (Wachstumsfaktor)

r: Rente (jährliche Ein- / Auszahlungen)

 

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In der Formel gibt es 5 verschiedene Variablen, demzufolge gibt es auch 5 Aufgabenszenarien.

Bei den Aufgaben müssen jeweils 4 Werte gegeben sein und der 5. Wert wird gesucht und berechnet.