Price level

Price level
This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Price_level".

A price level is a hypothetical measure of overall prices for some set of goods and services, in a given region during a given interval, normalized relative to some base set. Typically, a price level is approximated with a price index.

content

1 Theoretical foundation
2 Significance
3 See also
4 References

Theoretical foundation

The classical dichotomy is the assumption that there is a relatively clean distinction between overall increases or decreases in prices and underlying, “real” economic variables. Thus, if prices overall increase or decrease, it is assumed that this change can be decomposed as follows:

Given a set $C$ of goods and services, the total value of transactions in $C$ at time $t$ is

$\sum_{c\,\in\, C} (p_{c,t}\cdot q_{c,t})=\sum_{c\,\in\, C} [(P_t\cdot p'_{c,t})\cdot q_{c,t}]=P_t\cdot \sum_{c\,\in\, C} (p'_{c,t}\cdot q_{c,t})$

where

$q_{c,t}\,$ represents the quantity of

c

at time

t

$p_{c,t}\,$ represents the prevailing price of

c

at time

t

p' c, t

represents the “real” price of

c

at time

t

P t

is the price level at time

t

Significance

If, indeed, a price-level component could be distinguished, then it would be possible to measure the difference in overall prices between to regions or intervals. For example, the inflation rate could be measured as

$\frac{P_{t_1}-P_{t_0}}{t_1 -t_0}$

and “real” economic growth or contraction could be distinguished from mere price changes by deflating GDP or some other measure.

$\frac{(GDP)_{t_1}}{P_{t_1}}-\frac{(GDP)_{t_0}}{P_{t_0}}$

References

McCulloch, James Huston; Money and Inflation: A Monetarist Approach 2e, Harcourt Brace Jovanovich / Academic Press, 1982.
Mises, Ludwig Heinrich Edler von; Human Action: A Treatise on Economics (1949), Ch. XVII “Indirect Exchange”, §4. “The Determination of the Purchasing Power of Money”.

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Contents

Theoretical foundation

Significance

See also

References