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HEDGING THE STANDARD OF LIVING VIA
COST OF LIVING INDEX FUTURES
RAINER SCHULZ
Ph.D. Program “Applied Microeconomics”
Humboldt University and Free University, Berlin
SFB 373
rschulz@wiwi.hu-berlin.de
November 2000
Abstract
People dislike inflation because inflation erodes the real value of future nominal income
and wealth. Adjustment of future nominal values via a cost of living index is an appropriate
way to handle the problem of real income risk. Nonetheless an important aspect needs more
discussion: If markets existed in which ’real income risks’ could be traded—would a rational
individual always voluntarily purchase protection against such risk? A model is developed to
shed some light on this aspect. It shows that the optimal behaviour depends—as expected—
on the cost of protection and the risk preferences of the individual.
JEL Codes: D11, D8
Keywords: Cost of Living Index, Futures Markets
1 Introduction
There is an ongoing discussion in many OECD countries about the future of public pension
programs. The existing pension arrangements are far too costly in many countries and future
payments of programs seem to be uncertain. There are several proposals under discussion
to reform the current public pension arrangements. A currently widely debated proposal in
Germany picks up the foreseeable financial restrictions of the public pension plan in the future
and wants to encourage greater “Eigenvorsorge” (i.e., private pension schemes). Even though
I would like to thank Stefano G. Athanasoulis, Irwin L. Collier, Franz Hubert, Fran
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