Tracking exchange rate management in Latin America

Published date01 April 2015
DOIhttp://doi.org/10.1016/j.rfe.2015.02.004
AuthorCésar Carrera
Date01 April 2015
Tracking exchange rate management in Latin America
César Carrera
BancoCentral de Reserva del Perú(BCRP), Jr. Miroquesada441, Lima, Peru
UniversidadPeruana de CienciasAplicadas (UPC), Peru
abstractarticle info
Availableonline 13 March 2015
JEL classication:
C16
F31
F41
Keywords:
Exchangerate
Forex
Benford'sLaw
Internationalreserves
FX intervention
One wayto track exchange-rate deviationsfrom its long-runvalue is to examine numericalpatterns in exchange
rates to see if those patterns appear to have been subjected to some degree of policy management.We apply
Benford's Law to exchangerates in Latin American countries, computing and comparingthe distribution of ex-
change-rateobserved values with those of Benford'sLaw. For most cases we nd that the exchange rate for the
US dollar does not satisify Benford'sLaw, however this law holds when the euro is considered. This result may
be explained by the factthat these countries are characterized forhaving different degrees of dollarizationand
interventionin the US dollar forexmarket while there is almostno policy interventionin the euro forex market.
Ourapproach is an alternativeview of how these characteristicsplaya role inducingdeviationswith respect to an
implied equilibrium exchangerate.
© 2015 ElsevierInc. All rights reserved.
1. Introduction
Understanding the implications of how countriesmanage their cur-
rency is critical to a full appr eciation of the challenges for central
bankers in Latin America. The exchange rate is a key variable for any
open economy becauseit reects trading and nancial conditions. The
value of exportsand imports, as well as capital market ows,is subject
to thevolatility of the exchangerate. The variabilityof the exchangerate
is also intrinsically linkedto a country's short-terminterest rate and in-
ternationalreservepolicies and is importantfor the determinationof in-
terestrate parity conditions.In a nancial crisisin which currencies lose
value relative to the US dollar, exchange rate management issues can
come to the forefront. Moreover,in a few cases, Latin Americanecono-
mies have experienced a phenomenon called dollarization (common
use of the dollar rather than domestic currency for transactions), and
some smaller economies have fully replaced their domestic currency
and now use U.S.dollars instead.
In this research, we are interested in monitoringthe relative degree
of exchange rate management using numer ical pattern analysis. We
note that the forex (FX) market is the world's largest and most liquid
market,with trillions of dollarsbeing traded on any given daybetween
millions of parties all around th e world in many currencies. Latin
American central banks, as in the rest of the world, however,conduct
most of theirreserve activityin US dollars relative tothe local currency.
And even though currency diversication is slowly increasingin reserve
managementactivities, ourresearch focuses rst on US dollar exc hange
rates, withsome later observations relative to the euro.
Our approach is to study the numerical patterns present in actual
exchange rates and to look for deviation s that are suggestive of ex-
change rate management activiti es. This approach is in contrast to
manystudies, as we will look beyondjust the accumulationor depletion
of a centralbank's internationalreserves. Specically, we want to estab-
lish a basecase of freely-oating exchang e rates based on Benford'sLaw.
Benford'sLaw (the law of the rst digit or the law of the leadingdigits)
refers to the frequency distribution of digits in many sources of data.
Under this law, the larger the digit the lessfrequent this digit is likely
to be the rst digit. The implied distribution of rst digits can be de-
scribed on a logarithmic weakly mon otonic distribution. Benford's
Law can also be extended for the expected distribution for the second
digitand beyond. For this law tohold, data have to be distributedacross
multiple orders of magnitude ( for example, the list of numbers that
represents the populations of U.S . cities). This law does not hold
if there is any cutoff that exclude s a portion of the underlying data
above a maximum or belowa minimum value (for example, cities de-
ned as a settlementwith a population between 30,000and 99,000).
To anticipate some of thehighlights of our results, we nd denite
deviationsfrom the freely-oatingbase case using Benford's Law for se-
lected Latin American currencies relative to the US dollar, suggesting
varying degrees of currency management. The numericalpatterns for
Reviewof Financial Economics 25 (2015)3541
I would like to thank Phillipe Bachetta, La wrence Christiano, Thomas Wu, Adrian
Armas, Diego Winkelried , Soa and Catherine Carrera, Nelson Ramirez- Rondan, and
Hilda Guay for their valua ble comments and suggestions. Yrasema D ioses and Maria
Robles providedexcellent research assistance. The pointsof view expressed throughout
this document are the author's own and are not necessarily shared by the institutions
with whichhe is currently afliated.
E-mailaddresses: cesar.carrer a@bcrp.gob.pe,pcefccar@upc.edu.pe.
http://dx.doi.org/10.1016/j.rfe.2015.02.004
1058-3300/©2015 Elsevier Inc. All rightsreserved.
Contents listsavailable at ScienceDirect
Review of Financial Economics
journal homepage: www.elsevier.com/locate/rfe

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