DBJ Discussion Paper Series, No.0906 A Pure Theory of Aggregate Price Determination Masayuki Otaki (Institute of Social Science, University of Tokyo) June 2010 Discussion Papers are a series of preliminary materials in their draft form. No quotations, reproductions or circulations should be made without the written consent of the authors in order to protect the tentative characters of these papers. Any opinions, findings, conclusions or recommendations expressed in these papers are those of the authors and do not reflect the views of the Institute. A Pure Theory of Aggregate Price Determinationy Masayuki Otaki Institute of Social Science, University of Tokyo 7-3-1 Hongo Bukyo-ku, Tokyo 113-0033, Japan. E-mail:
[email protected] Phone: +81-3-5841-4952 Fax: +81-3-5841-4905 yThe author thanks Hirofumi Uzawa for his profound and fundamental lessons about “The General Theory of Employment, Interest and Money.” He is also very grateful to Masaharu Hanazaki for his constructive discussions. Abstract This article considers aggregate price determination related to the neutrality of money. When the true cost of living can be defined as the function of prices in the overlapping generations (OLG) model, the marginal cost of a firm solely depends on the current and future prices. Further, the sequence of equilibrium price becomes independent of the quantity of money. Hence, money becomes non-neutral. However, when people hold the extraneous be- lief that prices proportionately increase with money, the belief also becomes self-fulfilling so far as the increment of money and the true cost of living are low enough to guarantee full employment.