Preisindex fuer Zeitreihen mit unterschiedlichen Basis/Price index for periods of time with different basis

English version
In the following table we have the consumer price index for period 1996-2003.
What was the relative growth of the prices from 1998-2003?

Deutsch Version
In der nachstehenden Tabelle haben wir der Verbraucherpreisindex eines Landes in der Periode 1996-2003.
Um wie viel Prozent sind die Preise 1998-2003 gestiegen?

Problem aus Statistik Unterricht Maria-N

Jahr 1996 1997 1998 1999 2000 2001 2002 2003
P 96,i 100 101.3 103.2 104.1 104.8 106.9
Jahr 2001 2002 2003
P 00,i 100 102 103.4

In order to find out the price index for the period 1998-2003, that is- P 98,03 we first have to find out price index P 96,03=(P 96.01*P 00,03)/P 00,01=(106.9*103.4)/100=110.5.
After this the table looks like this:

Year/Jahr 1996 1997 1998 1999 2000 2001 2002 2003
P 96,i 100 101.3 103.2 104.1 104.8 106.9 109.1 110.5

Jahr 2001 2002 2003
P 00,i 100 102 103.4

P 98,03=(P96,03/P 96,98)*100=(110.5/103.2)*100=107.1

Prices are in 2003 comparing to 1998 7.1% higher (in average).
Preisen stiegen von 1998 bis 2003 um 7.1 Prozent durchschnittlich.

Back to top