Exact aggregation of consumer demand systems

This paper is divided into two parts which deal with closely connected issues. The first section of the paper explores the structure of consumer demand systems necessary and sufficient for exact aggregation. The second section addresses a related empirical question: what, if anything, do the restrictions imposed on exactly aggregable demand systems buy the econometrician engaged in estimating integrable consumer demands? In particular, if the objective of an empirical exercise is to estimate the demand systems of individual utility maximizing consumers and only aggregate expenditure information and information on the income and demographic composition of the population are available, then under what conditions can the parameters of the estimated aggregate expenditure system be used to uniquely identify the parameters of the underlying individual demand systems?     

Currency substitution and economic monetary aggregates: The U.S. Case

Existing analyses of currency substitution rely on the assumption that domestic monetary assets are perfect substitutes for each other. The present paper examines empirically the currency substitution hypothesis using Divisia monetary aggregates which relax the perfect substitutability assumption used in earlier work. The empirical results support the hypothesis of currency substitution for the United States.     

The Antonelli Versus Hicks Elasticity of Complementarity and Inverse Input Demand Systems

A true measure of input substitution associated with exogenous changes in input quantities requires that the output level be held constant. To this effect, this study presents the Antonelli elasticity of complementarity characterised by the distance function. The more common Hicks elasticity of complementarity assumes that marginal cost is constant and hence does not capture pure substitution effects. The two elasticities of complementarity are related to inverse demand systems and are shown to be equivalent under constant returns to scale. A framework for estimating the Antonelli elasticity from the uncompensated demand system is presented. Estimation results reveal substantial bias of input substitutability with the use of Hicks' measure.     

Trade distance functions and the derivation of inverse demand for imports

This article introduces a new representation of trade preferences termed as the trade distance function, which measures the maximum amount by which import quantities must be deflated or inflated to reach the indifference surface. The properties of this function are discussed and employed to derive systems of inverse demand for imported goods. We illustrate its usefulness by proposing two new parametric forms of trade distance functions. While the trade distance function directly yields Hicksian inverse demand functions of imports, they usually lack closed-form representations in terms of observable variables. This problem, however, need not hinder estimation and could be solved by using the numerical inversion estimation method. Results generally indicate that the suggested modelling and estimation methods are operationally, implying that the trade distance function approach is a promising tool of the empirical analysis of import demands subjected to tight theoretical conditions.     

Corporate retained earnings and personal sector saving: a test of the life-cycle hypothesis of saving

The dynamic personal saving function proposed by Swamy (1968) nests in a common framework, the life-cycle hypothesis (LCH) and the Houthakker-Taylor (1970) model of saving. Having accounted for a limitation of the generality of the Swamy result, which regards the role of corporate retention in the two models, the Swamy framework is used to test the LCH implication of perfect substitutability between personal saving and corporate retained earnings using UK data for the 1951–83 period. The empirical results cast doubt on the perfect substitution hypothesis.     

Substitution,Income, and Intertemporal Effects In Currency-Substitution Models*

Empirical studies which aim to determine the extent of international currency substitution typically focus on the coefficient associated with the anticipated rate of depreciation of the domestic currency or on the foreign interest rate in the domestic money demand equation. an intertemporal optimizing model is used to obtain a money demand function which shows that the anticipated exchange-rate change and the foreign interest rate capture an income effect and an intertemporal income or substitution effect. Using these theoretical results, the findings from empirical studies are examined to show circumstances in which international currency substitutability may have been overstated or understated.     

Nontraded goods,uncertainty, and equilibration in the United States' economy

This paper examines 1) the empirical significance of nontraded goods by estimating the Hicksian gross substitutability between traded goods and goods in the United States' economy at large, and 2) structural changes in the speed of the substitution. The results suggest that the substitutability is substantial, but significantly less than perfect; that the period of price equilibration has been dramatically protracted in recent years, but the ultimate magnitude of the adjustment has not changed; and that exchange rate uncertainty and general price uncertainty appear to explain the protraction, with the latter the more significant factor.     

Fiscal policy simulations – a comparison of UK models

The problem of endowing large applied general equilibrium models with numerical values for parameters is formidable. For example, a complete set of own- and cross-price elasticities of demands for the MONASH model of the Australianeconomy involves in excess of 50000 items. Invoking the minimal assumptions that demand is generated by utility maximization reduces the load to about 26000 - obviously still a number much too large for unrestrained econometric estimation. To obtain demand systems estimates for a dozen or so generic commodities at a top level of aggregation (categories like ‘food’, ‘clothing and footwear’, etc.), typically Johansen's lead has been followed, and directly additive preferences imposed upon the underlying utility function. With the move beyond one-step linearized solutions of applied general equilibrium models, the functional form of the demand system adopted becomes an issue. The most celebrated of the additive-preference demand systems, the linear expenditure system (LES), has one drawback for empirical work; namely, the constancy of marginal budget shares (MBSs) - a liability shared with the Rotterdam system. To get around this, Theil and Clements used Holbrook Working's Engel specification in conjunction with additive preferences; unfortunately both Working's formulation and Deaton and Muellbauer's AIDS have the problem that, under large changes in real incomes, budget shares can stray outside the [0, 1] interval. It was such behaviour that led Cooper and McLaren to devise systems with better regularity properties. These systems, however, are not globally compatible with any additive preference system. In this paper we specify, and estimate, at the six-commodity level, an implicitly directly additive-preference demand system which allows MBSs to vary as a function of total real expenditure and which is globally regular throughout that part of the the price-expenditure space in which the consumer is at least affluent enough to meet subsistence requirements.     

信贷约束与农户非正规金融选择

本文考察来自正规金融机构的信贷约束对农户选择非正规金融的影响。基于农户调研,本文首先辨别农户受到的各种信贷约束,并将其与农户融资成本相结合,构建农户融资的理论模型。实证研究采用双变量Probit模型比较各种信贷约束对选择非正规金融的影响。研究发现：供给型和需求型信贷约束都显著地促进农户选择非正规金融。需求型信贷约束中,风险约束较大程度地促进农户通过非正规金融渠道融资。研究结论对制定农村金融政策将提供重要参考。     

A structural model of cost pass-through: the case of the US yogurt retailing

We provide a structural framework for retail cost pass-through based on a neoclassical inverse demand model and retail profit maximization conditions. Unlike previous literature where game-theoretic structures are imposed on cost pass-through, our framework allows for estimating cost pass-through and the degree of market competition simultaneously. Further, our model incorporates potential cross-brand effects representing demand substitution and strategic complementarity effects. Our model supplements the traditional reduced-form approach to pass-through and is applicable in environments, where the lack of brand-level cost data renders reduced-form analysis infeasible. The empirical value of our model is illustrated in an econometric analysis of retail pass-through for national and store brand yogurt. Our results indicate that: (1) market competition has a positive impact on own-brand cost pass-through, especially for national brands, and (2) overlooking cross-brand effects results in biased own-brand pass-through estimates. Finally, we provide a graphical illustration of the relationship between cost pass-through and market competition.     

The role of capital flows in the adjustment of money demand: The case of Finland

The paper models the dual role of money balances as a short-run buffer stock and an asset with a well-specified long-run demand function. The analysis is carried out in an open economy framework. Consequently, there will be an offset to monetary policy in the form of induced capital movements, but in our model, it will be distributed over time even under perfect substitutability of financial claims. Estimates for the parameters of the demand for money function are obtained from a capital flow equation using both unrestricted (OLS) and restricted (nonlinear) estimation methods. The results provide strong evidence in favour of the shock-absorption theory for the adjustment of money demand under money supply changes.     

Inverse demand systems and choice of functional form

Barten (Empirical Economics 18 (1993) 129) recently advocated estimation of a synthetic demand system that mechanically nests four other popular differential demand models. This paper follows a similar strategy, but in the context of four inverse share-equation demand systems: The Inverse Translog Demand System (ITLDS); the Inverse Almost Ideal Demand System (IAIDS); the Inverse Lewbel Demand System (ILDS); and the Inverse Non-Separable Linear Expenditure System (INLES). Each of these specifications is artificially nested in a Hybrid Inverse Demand System (HIDS). An empirical application to three categories of quarterly U.S. meat demand data over the period 1961-1996 indicates the HIDS is a preferred specification.     

Household demand for fats and oils: two-step estimation of a censored demand system

A censored system of household fat and oil demand equations is estimated with a two-step procedure, using cross-sectional data from the 1987–1988 US Nationwide Food Consumption Survey. Own price and total expenditure elasticities are close to unity and there is no evidence of gross substitutability. Compensated elasticities suggest net substitution among the products considered.     

Commodity Rates of Interest and Intertemporal Substitution in Commodity Demand and Consumption

This paper examines the role of commodity own rates of interest in intertemporal analysis of consumer behaviour and presents a disaggregate analysis of intertemporal substitution in commodity demand and consumption. Commodity rates of interest are defined from the Euler equations implied by the intertemporal consumer choice problem. The relationship between commodity own rates and the real interest rate is derived, and the conditions for equality of commodity own rates are discussed. The intertemporal commodity substitution elasticities are characterised using commodity rates of interest, and the intertemporal substitution elasticity of consumption is derived from its constituent commodity demands. Evidence from estimation of the demand system and the consumption function reveals high intertemporal substitution for consumer goods as well as consumption.     

Effective global regularity and empirical modelling of direct, inverse, and mixed demand systems

Abstract .  This paper utilizes the notion of 'effective global regularity' and the intuition stemming from Cooper and McLaren (1996)'s General Exponential Form to develop a family of 'composite' (product and ratio) direct, inverse and mixed demand systems. Apart from having larger regularity regions, the resulting specifications are also of potentially arbitrary rank, which can better approximate non-linear Engel curves. We also make extensive use of duality theory and a numerical inversion estimation method to rectify the endogeneity problem encountered in the estimation of the mixed demand systems. We illustrate the techniques by estimating different types of demand systems for Japanese quarterly meat and fish consumption.     

Testing separability of public consumption in household decisions

In this paper we propose a sequential strategy, based on the microeconomic approach of the demand theory, in order to test for separability between private and public consumption. The aim of the present work is to verify, using a conditional almost ideal demand system, whether the different components of public consumption exert conditioning effects on the allocative structure of private spending. The empirical estimation of the model and the separability tests are developed for both a demand system in five functional categories of private spending, and for a demand system in six categories, where the private expenditures on those goods and services which can also be offered by the public sector are enclosed in a single functional category. The results of the separability tests, obtained using UK data for the 1974–2000 period, show that public individual consumption plays an important role in modifying consumer choices, while public collective consumption does not affect private consumption behaviours. The relationships between the different components of private spending and public individual consumption are both of substitutability and complementarity; in particular, we find that public individual consumption and the corresponding private expenditures on ‘Health, education, recreation and social protection’ are complements.     

Consumer demand functions,Spain, 1958–1964

Barten's maximum likelihood method (European Economic Review, Fall 1969) is used to estimate demand systems for Spain, under the assumptions of constant elasticities and constant marginal budget shares, respectively. It is shown in which sense the second assumption gives “better” results. In both cases, the homogeneity restriction is rejected, using the maximum likelihood ratio test. But once homogeneity is imposed, the symmetry restriction cannot be rejected.     

Welfare analysis in a two-stage inverse demand model: an application to harvest changes in the Chesapeake Bay

Like many agricultural commodities, fish and shellfish are highly perishable and producers cannot easily adjust supply in the short run to respond to changes in demand. In these cases it is more appropriate to conduct welfare analysis using inverse demand models that take quantities as given and allow prices to adjust to clear the market. One challenge faced by economists conducting demand analysis is how to limit the number of commodities in the analysis while accounting for the relevant substitutability and complementarity among goods. A common approach in direct demand modeling is to assume weak separability of the utility function and apply a multi-stage budgeting approach. This approach has not, however, been applied to an inverse demand system or the associated welfare analysis. This paper develops a two-stage inverse demand model and derives the total quantity flexibilities which describe how market clearing prices respond to supply changes in other commodity groups. The model provides the means to estimate consumer welfare impacts of an increase in finfish and shellfish harvest from the Chesapeake Bay while recognizing that harvests from other regions are potential substitutes. Comparing the two-stage results with single-stage analysis of the same data shows that ignoring differentiation of harvests from different regions, or the availability of substitutes not affected by a supply shock, can bias welfare estimates.     

Life-cycle earnings,cohort size effects and social security: a quantitative exploration

One of the features of the large overlapping generations model pioneered by Auerbach and Kotlikoff (1987) Dynamic Fiscal Policy is that individuals with different experience levels are perfect substitutes in production. This paper replaces this assumption with a labor market characterized by imperfect substitutability between less and more experienced workers. By comparing the quantitative properties of both cases in a calibrated model for Spain, it is found that in the model economy with imperfect substitution, the effects of aging on the financial viability of the pension system are less severe than in the standard model economy with perfect substitution.     

Using the cost function to generate Marshallian demand systems

Limited data means that prior structure is needed when working with large demand systems. The cost function is a convenient vehicle for generating demand systems incorporating such structure. While the cost function directly yields Hicksian demand functions they will not usually have an explicit representation as Marshallian demand equations i.e. in terms of the observable variables. With fast hardware and modern software, however, this need not hinder the estimation of the (implied) Marshallian demand equations. This paper develops the formal theory for using cost functions in this context, and reports on initial trials on the operational feasibility of the method. First version received: September 1997/final version accepted: July 1999