Beschreibung und Formeln zur Rentenrechnung
\(\displaystyle R_n=r·q·\frac{q^n-1}{q-1}\)
\(\displaystyle R_n=r·s_n\)
\(\displaystyle R_n=r·\frac{q^n-1}{q-1}\)
\(\displaystyle R_n=r·s_n\)
\(\displaystyle R_0=r·\frac{1}{q^{n-1}}·\frac{q^n-1}{q-1}\)
\(\displaystyle R_0=r·a_n\)
\(\displaystyle R_0=r·\frac{1}{q^{n}}·\frac{q^n-1}{q-1}\)
\(\displaystyle R_0=r·a_n\)
\(\displaystyle r=\overline{r}·n+\overline{r}·i·f\)
Fristemmittel \(f\)
vorschüssig:\(\frac{n+1}{2}\)
nachschüssig:\(\frac{n-1}{2}\)
\(\displaystyle {q_{konf}}=\sqrt[{X}]{q_{rel}} = \sqrt[X]{1+\frac{i}{m}}\)
\(\displaystyle R_n' =r·q·\frac{q^n-t^n}{q-t}\)
\(\displaystyle R_0=r·\frac{1}{q^{n-1}}·\frac{q^n-t^n}{q-t}\)
\(\displaystyle R_n=r·\frac{q^n-t^n}{q-t}\)
\(\displaystyle R_n=r·\frac{1}{q^n}·\frac{q^n-t^n}{q-t}\)
\(\displaystyle t=(1±u)\)
\(t > 1\) progressive Rente
\(t = 1\) konstante Rente
\(t < 1\) degressive Rente
\(\displaystyle R_0 =\frac{r·q}{q-1}\)
\(\displaystyle R_0=\frac{r·q}{i}\)
\(\displaystyle R_0=\frac{r·100·q}{p}\)
\(\displaystyle R_0=\frac{r}{q-1}\)
\(\displaystyle R_0=\frac{r}{i}\)
\(\displaystyle R_0=\frac{100·r}{p}\)