Lösungen Zinseszinsen

von Oliver und Moritz G.

1. K₀= 50.000 €                                   K_n= 50.000  (1 + 0,055)⁵

        i= 5,5%                                          K_n= 50.000  1,055⁵

       n= 5 Jahre                                      K_n= 65.348 €

2. K₀= 5.000 €                                      5.796,37 = 5.000  (1 + 0,03)ⁿ    / : 5.000

        i= 3%                                             1,159274 = 1,03ⁿ                                   / log

     K_n= 5.796,37                                   n= log 1,159274 : log 1,03

                                                   n= 5 Jahre

3.  K₀= 2.400 €                                     5.942,31 = 2.400  (1 + i)⁸        / : 2.400

        n= 8 Jahre                                     2,476 = (1 + i)⁸                                    / ⁸

     K_n= 5.942,31                                    1,12 = 1 + i                               / -1

                                                                i= 0,12 -> 12%