2003
Monde en développement
New Directions in the Modeling and Forecasting of Commodity Markets
Walter C. labys
[(*)]
L’article analyse l’état actuel des recherches économiques et économétriques sur
la modélisation des marchés des matières premières et sur l’influence de ceux-ci
sur les économies en développement. Le recours aux méthodes statistiques
dans ce domaine a été confronté au caractère erratique de l’évolution des
quantités et des prix. Néanmoins, la modélisation et la prévision ont enregistré
des développements très riches au fil des années. Les recherches ont d’abord
porté sur l’offre, la demande et les prix dans le cas de marchés agricoles avant
d’être élargies aux industries des produits minéraux et énergétiques. Les
modèles visaient non seulement à expliquer l’histoire des marchés, mais aussi à
évaluer les politiques concernant les matières premières et à prévoir les prix de
ces produits. L’article offre d’abord une perspective sur les travaux actuels
avant de proposer des axes de recherche pour le futur.Mots-clés :
modèles de matières premières, modèles économétriques, prévision des prix des matières premières, matières premières et développement économique.
This paper reviews the current state of economic and econometric research
dealing with the modeling of commodity markets and their role in economic
development. The application of statistical methods to commodity markets and
prices has been limited because of the erratic behavior of prices and quantities
over time. Nonetheless, a very rich field of modeling and forecasting has grown
over time. This research began with the analysis of agricultural demand, supply
and prices in a market context and later was extended to mineral and energy
industries. These models not only analyzed market history, but also evaluated
commodity policies and forecast commodity prices. This paper first provides a
perspective on the current status of this research and then offers prescriptions
for the future.Keywords :
Commodity models, econometric models, commodity price forecasting, commodities and economic development.
These remarks
[1] concern the current state of economic and econometric
research on the modeling of commodity markets and their role in
economic development. The application of statistical methods to commodity
markets and prices has been limited because of the erratic behavior of prices
and quantities. Nonetheless, a very rich field of modeling and forecasting has
grown over time. Earlier in the century, formal research began on the
relationships between agricultural demand supply and prices in a market
context. This research not only evolved in sophistication but became extended
to mineral and non-fuel mineral or energy commodities. This work not only
analyzed market history, but also evaluated commodity policies and forecast
commodity prices. In this paper I try to provide a perspective on the current
status of this research. Prescriptions are also offered as to how such research
might be directed in the future.
Suggested above is the possibility that commodity market quantities and prices
are often random. This introduces a large amount of risk and uncertainty into
the process of market modeling and forecasting. Of course randomness is
implied generally and the nature of the price fluctuations varies as we observe
them and their likely causes in the long, medium and short run. In the long
term, commodity markets are subject to shocks or changes in trend that range
from natural catastrophes and political/military interventions to structural
market changes. These shocks tend to be irregular in nature and cause abrupt
shifts in prices usually to higher but sometimes to lower levels. Examples
include the impacts of the Korean war, the Vietnam war, the petroleum price
increases of 1973-1978, and the Gulf war. Sometimes the return of a market to
normality is quick; at times the shocks persist; and at other times price changes
University (USA)
reoccur, resulting in a series of consecutive turning points. Methods recently
developed which help as to analyze such trend changes appear in Badillo et al.
(1999), Perron (1989), and Zivot and Andrews ( 1992).
In the medium term, factors that shock commodity markets can also be of a
political or cataclysmic nature, but they tend to be more related to national
economic conditions or to market forces themselves. Fluctuations in market
forces tend to be observed in the demand and supply conditions and underlying
market equilibrium. Fluctuations in national economic conditions, commonly
observed in the form of business cycles, can cause changes in industrial
production and hence mineral demands or in interest rates and ultimately
commodity investments. Variations in weather conditions induce changes in
agricultural supply and hence in product prices. The formal analyses of the
impact of these kinds of shocks has appeared in modeling studies, such as for
example Labys (1973,1998) and Rausser and Hochman (1979).
In the short term, market shocks come primarily from financial factors,
particularly those related to speculation and hedging on commodity futures,
options and other derivative markets. The resulting price behavior has been
termed random, because it reflects the flow of randomly appearing information.
In fact the price behavior can be identified more specifically as being stochastic
or following a nonlinear dynamic or stochastic process (e.g., autoregressive
conditional heteroscedastic), or even a chaotic process. It can also be related
more specifically to financial shocks such as in interest rates or exchange rates.
A substantial literature exists attempting to explain this short-term behavior,
examples of which include Barkoulas et al. (1997,1999), DeCoster et al. (1992),
Holt and Aradhyula ( 1990), Hudson et al. ( 1987), and Teysseire et al. ( 1997).
In summary the described price fluctuations, which vary frequently and
extensively, have made market modeling and forecasting an extremely difficult
task. Linear and nonlinear time series methods which have been applied to
stock prices and financial markets have been employed in commodity price
analysis. Business cycle, econometric and time series methods that have
performed effectively in macroeconometric forecasting have also been applied
in commodity market forecasting, i.e. see Diebold ( 1998). Nonetheless,
commodity market forecasters have become frustrated in their search for
improvements in the performance of these methods. My intention is thus not
only to trace improvements in present research but also to suggest certain new
developments at the frontier of applications.
PRESENT STATE OF RESEARCH
The most comprehensive of commodity market analytical methods stem from
structural models which are soundly based in microeconomic and econometric
theory, but also include other modeling theories, e.g. optimization,
programming, input-output, computable general equilibrium. Because such
structural models trace the interaction between endogenous market variables
such as supply and demand and exogenous variables such as industrial
production, they can explain market behavior and performance. The scientific
process usually involved requires model specification, estimation, and
simulation. Model simulation can replicate the historical behavior of price and
quantity variables over time and/or space; it can provide conditional estimates
of various commodity policy impacts; or it can forecast the variables into the
future. In the case of conditional forecasts, one can forecast endogenous
variables conditional upon forecasts of macroeconomic variables or upon
maintained assumptions concerning the behavior of policy makers. These
models come from a distinguished background of theoretic developments in
agricultural, mineral and energy economics.
The recent analysis of commodity markets has been largely occupied with the
explanation of the temporal or time series behavior of prices. Most of this work
has dealt with tests and models that have investigated linear and nonlinear price
fluctuations based on mean reversion and variance measures. The data of
interest have included spot and futures prices ranging from intraday ticks to
annual averages. Tests applied to these price series include chaos, random walk,
fractional integration, stationarity, hetereogenity, etc. Models constructed range
from ARMA and ARFIMA to GARCH and Neural Networks. Examples are
Barkoulas et al. ( 1997,1999), Cheung and Lai (1993), Cromwell et al. ( 2000),
Dam ( 1998), Deaton and Laroque (1992), DeCoster et al. ( 1992) Kyrtsou et al.
(2002), and Teyssiere et al. (1997).
The most basic type of commodity model from which econometric and
modeling methodologies have developed is the competitive market model.
Such a model initially neglects market imperfections and assumes that
commodity demand and supply interact to produce an equilibrium price
reflecting competitive market conditions. Such a model may consist of a
number of combined regression equations, each explaining separately, a single
market or sector variable. Market models or the equivalent industry models are
applicable to all agricultural, mineral or energy production and use categories.
Their greatest utility is in providing a consistent framework for planning
industrial expansion, forecasting market price movements, and studying the
effects of regulatory policies.
There is no doubt that commodity modeling evolved from agricultural
economics. Discussions of the structural modeling of agricultural markets
appear in Brookfield (1991) or Labys ( 1973). The development of econometric
models suitable for analyzing mineral markets possessing competitive behavior
has evolved more recently. One of the first was the Desai ( 1966) tin model
which explained tin price fluctuations on a world basis. The copper market has
also been subject to several modeling efforts. Most notable, Fisher, Cootner
and Bailey ( 1972) built a world copper model which was recognized as one of
the first major econometric mineral modeling efforts. CRA (1978) later
extended the supply sector of the Fisher, Cootner and Bailey copper model to
include long run adjustments in exploration and discovery as well as subsequent
mining capacity formation. This long run adjustment process was combined
with a short-run inventory adjustment process in a distinctly disequilibrium
form of copper model by Labys (1980a). Such an approach to modeling the
copper market was suggested by Richard (1977) with his continuous time,
differential equation approach. More recent developments on the structural
modeling and forecasting of mineral and energy markets appear in Labys (1999
b).
Applications to energy markets have not been as extensive because of the
difficulties of dealing with regulatory and non-competitive influences on market
behavior. Verleger ( 1993), however, has shown that it can be applied to explain
disruptive shortages. His model links econometric equations for oil spot prices,
consumer demand, and supply shortage conditions. MacAvoy and Pindyck
(1975) have built an econometric model of the natural gas industry which has
been used extensively to analyze the effect on the industry of federal regulation
of the wellhead price of gas and of permissible rates of return for the pipeline
industry. Labys, et al. ( 1979) have modeled the U.S. coal market using this
approach to forecast future levels of coal demand, supply, prices and
inventories. Most recently, Trieu et al. (1994) have reported their modeling of
the world spot uranium market.
The several econometric approaches taken to model noncompetitive market
configurations are essentially similar. For example, the monopoly case involves
one dominant (monopolist) producer and many (perfectly competitive)
consumers. The single producer thus maximizes his own profits given the
aggregate demand function for the commodity of interest and the supply
response of the other firms in the industry. Examples of applications to OPEC
and the crude oil market include Pindyck (1978 a, b) who developed a model to
determine optimal price and quantity paths that would result from cartel
behavior on the part of producer’s organizations in the copper and bauxite
markets.
The analysis of commodity prices independent of other market variables had
been popular long before structural modeling made its appearance. This form
of price analysis which essentially relates to a single economic sector lends itself
well to reduced form or nonstructural equation methods. Recall that most any
structural commodity model consisting usually of a multi-equation market
equilibrium formulation can be reduced to single equations with endogenous
variables appearing on the left-hand side and only exogenous variables on the
right-hand side. This form of model can be specified based on econometric
regression equations or on econometric time series equations. The latter can be
univariate in which a single variable is explained in terms of its past statistical
history or multivariate in which the past statistical history of several variables is
combined. A number of variations exist on the univariate and multivariate
themes. Over time several of these have evolved as being useful for analyzing
and forecasting commodity markets.
The explanation and forecasting of commodity prices using univariate and
multivariate methods depends on whether the researcher is interested in long
run as compared to medium run or short run price behavior. The modeling of
long run behavior involves basic linear or nonlinear trend models as shown
earlier. The explanation of medium run behavior can involve models capable of
generating some form of price cycles; examples include ARIMA, ARFIMA,
exponential smoothing, VAR or structural time series (STS) models. The
deciphering of short run behavior often is concerned with stochastic or random
processes, such as those associated with the discovery of futures price
movements. Empirical applications of these methods to commodity prices is
extensive and can only be briefly reviewed here. A first direction has been to
discover the time series generating processes underlying price behavior using
advanced methods such as spectral analysis, e.g. Labys and Granger (1970).
Today more emphasis has been placed on discovering the order or fractional
order of integration using special testing procedures, e.g. see Barkoulas et al.
(1997,1999).
Another constructive direction that commodity price analysis has followed
concerns commodity price fluctuations in the form of waves and cycles.
Greater attention has been directed concerning macroeconomic influences in
the form of national and international business cycles that come to bear on
commodity markets. The stimulus for this research has come from several
directions. First, macroeconomists have developed better approaches for
defining and explaining “real” business cycles. Some of this work has dealt with
trend-breaks in an attempt to measure structural breaks in major cyclical
upturns and downturns. Second, cyclical identification techniques have
improved. For example, spectral analysis of the periodicity of price cycles has
reemerged in the form of wavelet analysis as discussed in Davidson et al.
(1997). Third, “structural” or “nonobservable component” models were
advanced by Harvey (1985,1989) to directly model the amplitude and
frequency of cycles in a dynamic and stochastic context employed senusoid and
Kalman filter analysis. Examples of application to commodity prices appear in
Labys et al. (1998,1999) and Kouassi et al. (1999). Analysis of the impacts of
business cycles on commodity markets can be found in works of Cashin et al.
(1999 a), Cristini (1999), Fama and French (1988), Labys et al. (1999), Moore
(1988), Davutyan and Roberts (1991), and Saadi (1997).
In an attempt to summarize this and other related research of this period, I
would emphasize that a transition occurred from structural models that
emphasized demand, supply, and other price determinants towards
nonstructural models that explain only the price variable itself. Some of this
transition resulted from advances in the nonstructural modeling of financial
markets. Other influences included advances in the econometric tests and
models that can be employed for this purpose. Not to be forgotten is that the
costs of performing commodity market research can be greatly reduced by only
analyzing price variables. In retrospect, this overemphasis on univariate time
series analysis has left us with a weak heritage, as we attempt to improve
commodity market analysis in the near future.
FRONTIERS OF NEEDED RESEARCH
Our most pressing need is to advance research of commodity markets as a
mechanism. As one matures, one realizes there is (almost) “nothing new under
the sun.” We would hope to return to and, more importantly, supercede the
kinds of commodity market analysis that were proposed in Dynamic Commodity
Models (1973). Today, more than ever, commodity market behavior is
intertwined with an international economic mechanism that includes
globalization and expanded trade as well as interactions with developed and
developing macroeconomies, including related financial institutions. Each of
these linkages demands new frontiers of research.
The challenges presented to commodity price analysts and forecasters have
been discussed and are reflected in the respective structural and nonstructural
forecasting methods which have been reviewed. Among the more difficult
challenges is the considerable uncertainty which pervades the markets :
speculative runs, exogenous shocks, political interventions, and structural
changes. This uncertainty is also related to endogenous instability such as that
caused by price inelasticities, excessive market speculation, and links to business
cycles. Also important are supply-side changes such as those due to
biotechnology or genetic adjustments. Influences on the demand side include
the competitive development of synthetic and engineered materials. On a global
scale, market destabilizing factors range from multinational market power and
government controls to international economic and financial transmission and
feedback effects. Below some new possibilities that could augment commodity
market analysis are presented.
We are just beginning to explore the influences of globalization on commodity
markets. Here globalization is referred to in an economic context that ranges
from financial market integration to labor markets and employment. A good
example of this globalization is that gold can now be traded practically 24 hours
per day as spot and futures exchanges open and close from New York through
London and Sydney until Hong Kong, Tokyo, and again New York. The
importance of such phenomena has been preliminarily explored by Gilbert
(2002) for the case of cocoa and by Labys (2000 a) for the case of crude oil.
Other implications for commodity markets to be investigated include shifts in
trade towards increased transport of processed materials, reduction in pollution
from the redeployment of energy commodities, and greater attention to
geopolitics with respect to crude oil and refined products.
A second important domain of research concerns how commodity market and
price cycles are interrelated with national and international business cycles. The
important economic and econometric results achieved by macroeconomists
dealing with business cycle analysis should be applied and advanced in the case
of commodity markets. Issues of how inflationary adjustments, monetary and
exchange rate policies in the developed economies are linked to commodity
market fluctuations should be more carefully explored, including simultaneous
interreactions. Longer term analysis should be performed relative to periodic
waves, trend-breaks, and regime-switching. Shorter term analysis should be
conducted relative to the impacts of financial market shocks, economic
uncertainty, and geopolitical disruptions. Researchers need more stock-flow
knowledge of longer term investment and capacity adjustment cycles and of
shorter term inventory and stocking cycles. Examples of studies to be advanced
in this area include Badillo et al. ( 1999) or Perron (1989).
Many commodity price decisions are made when outcomes are uncertain. This
uncertainty evolves from the market structure of the industry, the international
instability of commodity markets, environmental problems, changes in
technology and a host of other factors. Uncertainty has only recently been
recognized as a feature in policy analysis and a complexity for commodity
policy modeling. Important advances that deserve attention in policy analysis
and modeling recognize choice under uncertainty. For mineral market
forecasting of this nature, see Torries (1998). The correspondence between
decision making at individual and market levels and the relatively strong
assumptions on the utility functions required also are important.
The theory underlying a commodity price model will suggest the functional
form for the structural equations. The typical relationships are estimated either
in linear form or in a form that is linear in the parameters, for example, loglinear or some other transformation. While these forms generally conform to a
theoretically formulated model, the functional form only broadly approximates
the theoretical specification. This reflects the difficulty and cost of non-linear
estimates when short sample periods are involved. While simplified functional
forms, even linear approximations, may be suitable for many simulations
covering a “normal” period, the difficulty is that the abnormal or extreme
periods are precisely the points when the non-linearities of the model should
become effective.
Short-term price analysis is more related to hedging, speculation and trading on
commodity related futures and derivative markets. Research in this area has
been stimulated by the time series and econometric methods that have been
developed for analyzing and forecasting financial market and price movements,
i.e., see Diebold ( 1998). Some of this work concerns random walks, chaos and
fractile behavior (DeCoster et al., 1992; Frank and Stengos, 1989). Other works
dwell on the possibility that ARFIMA models might better be applied to
forecasting when long memory is present in prices by using a fractional rather
than an integer value for the degree of integration (Barkoulas et al., 1997,1999;
Cheung and Lai, 1993). While this form of model emphasizes nonlinearity in
price means, modeling based on nonlinearity in price variance or volatility has
continued in the form of the variety of autoregressive hetereoscedastic models
e.g., Kouassi et al., 1999).
There is also the need to untangle more carefully the nature of commodity
market structures and the role played therein by different forms of market
interventions such as regulated prices, subsidies, taxes and trade controls. The
potential of multidisciplinary analysis in this area might be limited, unless the
disciplines of quantitative political analysis and of industrial organization
advance in this direction. Attention to market structure in mineral and energy
models has been expanded by Pindyck (1978 a, b), Kolstad ( 1982), Lord (1991),
and others. We have thus seen the embodied structure of the petroleum
market advance from simple monopoly to rather complex forms of oligopoly.
Greater attention to commodity structure appears in Labys (1980b) and Lord
(1991).
A lesser amount of work has taken place regarding the role of market
interventions and disruptions. Commodity models are thus likely to improve in
the direction of offering a more realistic picture of these two related aspects of
market structure.
Another domain of research deals with developing country linkages. Still with
us are problems of commodity export quantity and revenue stabilization
stemming from international commodity price instability. Some research has
commenced as to how to deal better with commodity price derivatives and
financial instruments in the form of commodity risk management (Privolos and
Duncan, 1991 and Claessens and Duncan, 1993). Better understanding is
needed of commodity investment formation, supply control and disruption,
and the impact of import fluctuations on developed economy markets.
A most important research frontier concerns the behavior of the core of the
commodity market mechanism. Here I refer to the recursive and simultaneous
adjustments of commodity markets. Important market variables in this respect
besides prices are production, consumption, inventories, imports and exports.
The shocks that markets receive include not only business cycles on the
demand side and climate cycles on the supply side, but also a variety of random
shocks. This would suggest new investigations of models that are dynamic,
nonlinear, and stochastic in nature. Recent examples include Granger and
Teravista (1993), Labys (1999 b), Labys and Yang ( 1991), and Lord (1991). The
structure of such models should include imperfect competition, government
regulation, and special characteristics. The core of such models should reflect
cyclical and disequilibrium adjustments, such as those occurring when demand
does not equal supply and imports exceed exports. Model applications should
be improved in the direction of employing newer approaches to market and
policy simulation, and model forecasting should embody new probabilistic
approaches for evaluating risk impacts. A basis for further work on forecasting
can be found in Chen and Besseler (1990), Gerlow et al. (1993), and Goodwin
(1994).
Finally, it should not be neglected that all of this research requires improved
sources of data. Practical commodity data research has been neglected to the
point where no current estimates are available of commodity demand and
supply elasticities for most commodities. The stock or inventory data found
today are not as complete as that compiled twenty years ago. Typical but
intransigent data problems need to be conquered, such as short-length series,
missing observation, measurement error and stochastic behavior. Not the least
of problems is decreased public and private expenditures on basic data
collection and publication.
WHERE DO WE GO FROM HERE ?
Improvements in our theoretical and statistical understanding of commodity
market behavior requires that we return to the specification, estimation and
simulation of structural commodity models in which simultaneity and feedback
again play a role. We must move from univariate to multivariate analysis in
which the disequilibrium dynamic interactions between quantity and price
variables are reconsidered.
A more lofty but equally important goal is to pursue research funding and to
establish research institutions that would finally provide a continuity to the
progress of commodity market research. We still are suffering from the inability
of the reconstructionists to fulfill Keynes’ plan. For 50 years, economists have
witnessed a continuity in financial research via the International Monetary
Fund, in economic development research via the World Bank, but no
commodity research via “COMMOD.” Greater available research funding must
be directed to this need if we are ever to develop a more profound
understanding of these extremely complicated and diverse commodity markets.
***
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[(*)]
Professor of Resource Economics and Benedum Distinguished Scholar, West Virginia
[1]
Paper prepared as the inaugural address : The Conference on Primary Commodities and
Development, Groupe d’Analyse des Marchés de Matières Premières, Université Pierre
Mendès-France, Grenoble 2. October 29-30,2002. Editorial assistance provided
by Kathleen Labys