In: Inflation: Causes and Effects ISBN: 978-1-60741-823-8
Editor: Leon V. Schwartz, pp. - © 2009 Nova Science Publishers, Inc.
Chapter 3
THE NONPARAMETRIC TIME-DETRENDED
FISHER EFFECT
Heather L. R. Tierney
ABSTRACT
This paper uses frontier nonparametric VARs techniques to investigate whether the
Fisher Effect holds in the U.S. The Fisher Effect is examined taking into account
structural breaks and nonlinearities between nominal interest rates and inflation, which
are trend-stationary in the two samples examined. The nonparametric time-detrended test
for the Fisher Effect is formed from the cumulative orthogonal dynamic multiplier ratios
of inflation to nominal interest rates. If the Fisher Effect holds, this ratio statistically
approaches one as the horizon goes to infinity. The nonparametric techniques developed
in this paper conclude that the Fisher Effect holds for both samples examined.
Keywords: Fisher Effect, nonparametrics, dynamic multipliers, monetary policy, trend-
stationarity.
JEL Classification Code: E40, E52, E58
1. INTRODUCTION
The dynamics of nominal interest rates and inflation are fundamental forces at the core of
economic and financial decisions. The Fisher Effect, which relates these two variables, has
several consequences on market rationality and efficiency, option pricing, portfolio
allocation, monetary policy, and international trade just to name a few illustrations.
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The Fisher Effect is a theoretical proposition based on the Fisher Equation, which defines nominal interest rates as
being equal to the ex ante real interest rate plus expected inflation. According to the Fisher Effect in the long
run, the real interest rate is constant, which means that there should be a long run one-to-one relationship
between inflation and nominal interest rates that is referred to as the Fisher Hypothesis.