Deriving the Taylor Principle when the Central Bank Supplies Money

Ceri Davies (), Max Gillman and Michal Kejak ()

No E2012/20, Cardiff Economics Working Papers from Cardiff University, Cardiff Business School, Economics Section

Abstract: The paper presents a human-capital-based endogenous growth, cash-in-advance economy with endogenous velocity where exchange credit is produced in a decentralized banking sector, and money is supplied stochastically by the central bank. From this it derives an exact functional form for a general equilibrium Taylor rule . The inflation coefficient is always greater than one when the velocity of money exceeds one,velocity growth enters the equilibrium condition as a separate variable. The paper then successfully estimates the magnitude of the coefficient on inflation from 1000 samples of Monte Carlo simulated data. This shows that it would be spurious to conclude that the central bank has a reaction function with a strong response to inflation in a Taylor principle sense, since it is only meeting fiscal needs through the inflation tax. The paper also estimates several deliberately misspecified models to show how an inflation coefficient of less than one can result from model misspecification. An inflation coefficient greater than one holds theoretically along the balanced growth path equilibrium, making it a sharply robust principle based on the economy s underlying structural parameters.

Keywords: Taylor rule; velocity; forward-looking; misspecification bias (search for similar items in EconPapers)
JEL-codes: E13 E31 E43 E52 (search for similar items in EconPapers)
Pages: 36 pages
Date: 2012-08
New Economics Papers: this item is included in nep-cba, nep-dge, nep-mac and nep-mon
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)

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Working Paper: Deriving the Taylor Principle when the Central Bank Supplies Money (2012)
Working Paper: Deriving the Taylor Principle when the Central Bank Supplies Money (2012)
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