====== Preisindex der Lebenshaltung ======

===== Preisniveau =====

Das Preisniveau einer Periode {{http://apps.rkcsd.com/latex2png.php/P_t.png?nolink|P_t}} ergibt sich in Abhängigkeit der Gütermengen {{http://apps.rkcsd.com/latex2png.php/x_i.png?nolink|x_i}} und -preise {{http://apps.rkcsd.com/latex2png.php/p_i.png?nolink|p_i}}:

{{http://apps.rkcsd.com/latex2png.php/P_t=%5Cfrac%7B%5Csum_i%20p_i%5Et%5Ctimes%20x_i%5Et%7D%7B%5Csum_i%20x_i%5Et%7D.png?nolink|P_t=\frac<\sum_i p_i^t\times x_i^t><\sum_i x_i^t>}}

===== Inflation =====

Die Inflationsrate {{http://apps.rkcsd.com/latex2png.php/\pi.png?nolink|\pi}} einer Berichtsperiode {{http://apps.rkcsd.com/latex2png.php/t.png?nolink|t}} bezogen auf eine Basisperiode null ergibt sich mithilfe des Preisniveaus {{http://apps.rkcsd.com/latex2png.php/P.png?nolink|P}} zu:

{{http://apps.rkcsd.com/latex2png.php/%5Cpi_%7B0t%7D=%20%5Cbigg%5B%5C%20%5Cfrac%7B%5Csum_i%20p_i%5Et%5Ctimes%20x_i%5Et%7D%7B%5Csum_i%20p_i%5E0%5Ctimes%20x_i%5E0%7D%5Ctimes%5Cfrac%7B%5Csum_i%20x_i%5E0%7D%7B%5Csum%20%7B_i%20x_i%5Et%7D%7D~%20%5Cbigg%5D%5C%20%5Ctimes%20~100.png?nolink|\pi_<0t>= \bigg[\ \frac<\sum_i p_i^t\times x_i^t><\sum_i p_i^0\times x_i^0>\times\frac<\sum_i x_i^0><\sum <_i x_i^t>>~ \bigg]\ \times ~100}}

===== Preisindizes von Paasche und Laspeyres =====

==== Laspeyres ====

{{http://apps.rkcsd.com/latex2png.php/P_%5Ctextbf%7BL%7D=%5Cfrac%7B%5Csum_i%20p_i%5Et%20%5Ctimes%20x_i%5E0%7D%7B%5Csum_i%20p_i%5E0%5Ctimes%20x_i%5E0%7D.png?nolink|P_\textbf<L>=\frac<\sum_i p_i^t \times x_i^0><\sum_i p_i^0\times x_i^0>}}

==== Paasche ====

{{http://apps.rkcsd.com/latex2png.php/P_%5Ctextbf%7BP%7D=%5Cfrac%7B%5Csum_i%20p_i%5Et%20%5Ctimes%20x_i%5Et%7D%7B%5Csum_i%20p_i%5E0%5Ctimes%20x_i%5Et%7D.png?nolink|P_\textbf<P>=\frac<\sum_i p_i^t \times x_i^t><\sum_i p_i^0\times x_i^t>}}