Cointegration Approach to Estimating Bilateral Trade Elasticities Between U.S. and Her Trading Partners

Almost all previous authors who estimated the trade elasticities relied upon aggregate trade data. To avoid the aggregation bias, this paper provides estimates of trade elasticities using bilateral data between the United States and her six largest trading partners. Application of cointegration analysis reveals that in many cases, bilateral trade elasticities are large enough to justify real depreciation of the dollar as a mean of improving U.S. trade balance.[F14]     

U.S. import and export elasticities: a panel data approach

This article describes the creation of a new dataset on sectoral-level import and export elasticities in the U.S. between the years 1978 and 2001. It proposes the use of panel data techniques as a means of generating import price indexes, and then using them to measure trade elasticities while instrumenting for the endogeneous variables. In particular, it provides a dataset listing trade elasticities for a broad range of sectors at the North American Industry Classification System 4-digit, and 6-digit and the Harmonized Tariff System 6-digit, and 10-digit levels of industry aggregation. These results are compared to previous estimates in the literature. The resulting estimates can be used in a wide-range of applications in empirical studies of international trade policy, particularly in analyzing the welfare effects of international trade.     

The sensitivity of partially regulated second-best prices to intercommodity cross elasticities of demand

Ramsey prices for multiproduct monopolists with competitive fringe are shown to be sensitive to cross elasticities of demand. The sensitivity increases with size of cross elasticities, and with size of difference between ratios of cross elasticities and of own-price elasticities.     

Conditional and unconditional food demand elasticities in a dynamic multistage demand system

This paper estimates conditional and unconditional demand elasticities in a three stage analysis of consumer demand for food and non-food items in Greece. A dynamic version of the AIDS model is specified and estimated, and full system misspecification tests applied. Correction formulas for price and expenditure elasticities are used to calculate unconditional elasticities from conditional demand sub-systems. All food items rank as price inelastic. Deviations between the calculated conditional and unconditional price and expenditure elasticities are found to be significant, demonstrating the importance of correcting conditional elasticities before they can be used for policy purposes or welfare analyses.     

Adjustment Costs, Firm Responses, and Micro vs. Macro Labor Supply Elasticities: Evidence from Danish Tax Records

We show that the effects of taxes on labor supply are shaped by interactions between adjustment costs for workers and hours constraints set by firms. We develop a model in which firms post job offers characterized by an hours requirement and workers pay search costs to find jobs. We present evidence supporting three predictions of this model by analyzing bunching at kinks using Danish tax records. First, larger kinks generate larger taxable income elasticities. Second, kinks that apply to a larger group of workers generate larger elasticities. Third, the distribution of job offers is tailored to match workers' aggregate tax preferences in equilibrium. Our results suggest that macro elasticities may be substantially larger than the estimates obtained using standard microeconometric methods.     

Elasticities of rate schedule parameters

The rate schedules for services provided by regulated industries are often not defined in terms of simple per-unit charges but as multipart tariffs. For example, in the case of block price rates, the rate parameters are the definition of the block limits and the per-unit charges in each block. The analysis of these rates is complicated by the fact that most econometric models provide only per-unit or marginal-cost-based elasticities. This paper presents a technique for determining the rate schedule elasticities from elasticities for functions of the rate schedule parameters such as per-unit price elasticities. Also presented are methods for determining elasticities for combinations of service characteristics and the price schedule parameter elasticities for an entire service market. Examples are given for block water rates and Hopkinson and time-of-day electricity rates.     

Dynamic elasticities of tax revenue: evidence from the Czech Republic

Tax revenue elasticities with respect to tax bases are key parameters for the modeling of public finances. Yet the existing studies estimating these elasticities for emerging countries disregard the effects of tax reforms on tax revenue, which renders their estimates inconsistent. We introduce a framework for estimating both short- and long-run tax revenue elasticities using quarterly data adjusted for the effects of reforms. Our results suggest that the long-run elasticities in the Czech Republic are 1.4 for wage tax, 0.9 for value added tax, 1.7 for profit tax and 1 for social security contributions. The adjustment process for value added tax and social security contributions is fast, but for the remaining two categories, it is important to distinguish between the short- and long-run elasticities: the initial response of revenue to changes in the bases is weak. In the case of wage tax it takes half a year for the elasticity to surpass unity.     

Are Armington elasticities different across countries and sectors? A European study

CGE models are widely used for policy evaluation and impact analysis especially with respect to trade reforms, tax reforms, energy sector reform and development policy analysis. However, the results of such models are often argued to be sensitive to the choice of exogenous parameters such as trade elasticities. Several authors show that the choice of the so-called Armington elasticities in the demand function has a strong influence on the simulation results. Most existing estimates of Armington elasticities are only for the US. The few studies for other countries find substantially differing results. Nevertheless, many CGE modelers simply adopt the elasticities from other studies disregarding specific country and model characteristics. This paper aims at providing estimated elasticities based on recent data for a larger group of European countries. Using cointegration and panel fixed effects analyses we estimate the first order condition resulting from cost minimization or utility maximization subject to the CES utility or cost function in imports and domestic goods. The results show a rather large variation across sectors and countries and the magnitude is only partly comparable to the US elasticities. Moreover, in a small CGE application we are able to show that changing the elasticity set has a quantitative and even qualitative impact on CGE model results, which confirms the concern that one might end up with biased results due to a misspecification of the elasticities.     

Trade Performances, Product Quality Perceptions, and the Estimation of Trade Price Elasticities

Traditional trade models ignoring the dimension of product quality generally lead to excessively low trade price elasticities. This paper estimates import market share equations including a quality image proxy derived from survey data. The estimation results, based on panel data for the four main EU member states, confirm the part played by product quality perceptions in the estimation of trade price elasticities, at least for highly differentiated products. Introducing the quality image proxy into the models leads to a significant increase in the price elasticities, which thus become superior to unity, in conformity with theoretical elasticities of substitution.     

Long-run estimates of interfuel and interfactor elasticities

Meta-analyses of interfuel and capital-energy elasticities of substitution show that elasticity estimates are dependent on the type of data − time series, panel, or cross-section − and the estimators used. Econometric theory suggests that the between estimator might generate the best estimates of long-run elasticities but no existing estimates of elasticities of substitution have used it. Alternatively, Chirinko et al. argued in favor of estimating long-run elasticities of substitution using a long-run difference estimator. We provide estimates of China’s interfuel and interfactor elasticities of substitution using the between and long-run difference estimators. To address potential omitted variables bias, we add province level inefficiency and national technological change terms to our regression model. The results show that demand for coal and electricity in China is very inelastic, while demand for diesel and gasoline is elastic. With the exception of gasoline and diesel, there are limited substitution possibilities among the fuels. Substitution possibilities are greater between energy and labor than between energy and capital. The results are quite different to some previous studies for China but coincide well with the patterns found in meta-analyses for long-run estimates of elasticities of substitution.     

The changing structure of cost and demand for the U.S. telecommunications industry

This paper formulates a multiproduct structural model to examine the evolution of the structures of production and demand and their dynamic interaction, over an extended period, 1935–1987, in the U.S. telecommunications industry. We estimate the degree of scale economies, cost elasticities, input price elasticities and the determinants of demand for outputs and for various factors of production. The contributions of the quasi-fixed inputs, such as R&D and physical capital, in the evolution of this industry are evaluated. A number of important issues like the changing characteristics of demand for and cost of local and toll services and the variation of price–cost margin over time are examined under different economic conditions, market structures and regulatory environments. We also analyze the effects of the 1984 divestiture of the Bell System on the cost structure, employment and capital formation of the U.S. telecommunications industry.     

General equilibrium models with Morishima elasticities of substitution in production

Analytical general equilibrium (AGE) models are important tools that economists use to answer questions about theory and policy. When a production function has three or more inputs, the traditional modeling technique employs Allen elasticities of substitution to represent general functional forms. This paper builds an analytical general equilibrium model using the Morishima elasticity of substitution (MES). Specifically, an existing model using Allen elasticities is reformulated to employ the MES and the new, closed-form solutions are interpreted with additional insights from the reformulation. Importantly, the special case of constant elasticity of substitution (CES) production follows directly when using Morishima elasticities, but not Allen elasticities. This paper also provides a general technique for switching from Allen to Morishima elasticities in any existing AGE model and demonstrates a one-to-one numerical equivalence regardless of the elasticity measure employed. Replicating prior results, plausible parameter values are applied to the reformulated model to analyze the source-side, distributional effects of a pollution tax and highlight how the Allen and Morishima elasticities differ.     

European Integration and Production in the French Economy

Effects of greater European integration on the French economy are explored with an aggregate cost function. Input direct price elasticities are inelastic, but greatest (absolute value) for capital and lowest for imports. Cross-price elasticities suggest inputs are substitutes and are higher for domestic inputs than domestic input and imports pairs. As trade restrictions fall, effects on domestic input demand may increase as substitution elasticities rise. Inverse output supply price elasticities indicate domestic input prices are relatively important factors affecting consumption goods prices and import prices more important for investment goods. Thus, import price decreases may stimulate investment and growth. (JEL F14 , O10 , O12 )     

The demand for traded and non-traded goods in the U.S.

Annual postwar U.S. data are used to estimate the Rotterdam demand model for traded and non-traded goods. The estimated income elasticity is 1.51 for traded and 0.64 for non-traded goods, while the own-price elasticities are both between −0.3 and −0.2.     

Using Empirical Point Elasticities to Teach Tax Incidence

Using point elasticities rather than using either arc elasticities or slopes of demand and supply curves provides the best method for teaching students about the economic impacts of excise taxes. Not only does a point-elasticity approach simplify theoretical analysis of tax impacts, but it also allows instructors to take advantage of publicly available empirical estimates of demand and supply elasticities to show students how theoretical results can be applied to real-world tax policy issues. To illustrate these advantages, the authors use several available estimates of point elasticities of demand and supply of raw sugar to calculate the economic impacts of a recently proposed penny-per-pound tax on raw cane sugar grown in the Florida Everglades.     

人民币升值能解决美国对华贸易赤字吗?——基于1994～2005年间月度数据的贸易弹性分析

文章以1994年1月到2005年3月的月度数据为样本,用ARDL框架下的协整方法,对中美贸易的收入弹性和实际汇率弹性进行了经验分析。分析后发现:第一,我国对美进出口的收入弹性都是显著的,并且我国对美国出口的收入弹性约为我国从美进口的收入弹性的6倍,但是我国对美进口和出口的实际汇率弹性都是不显著的。因此,文章认为人民币汇率对中美贸易没有显著影响,人民币汇率升值将无法改善美国的对华贸易收支。     

Demand elasticities for food products in Brazil: a two-stage budgeting system

The object of this article is to estimate demand elasticities for a basket of staple food important for providing the caloric needs of Brazilian households. These elasticities are useful in the measurement of the impact of structural reforms on poverty. A two-stage demand system was constructed, based on data from Household Expenditure Surveys (POF) produced by IBGE (The Brazilian Bureau of Statistics) in 1987/88 and 1995/96. We have used panel data to estimate the model, and have calculated income, own-price, and cross-price elasticities for eight groups of goods and services and, in the second stage, for 11 sub groups of staple food products. We estimated those elasticities for the whole sample of consumers and for two income groups.     

International comparisons of expenditure patterns

The linear expenditure system (LES) of Stone (1954) is fitted to an eight-commodity classification of personal consumption expenditures in the national accounts data of 19 countries widely dispersed in the development spectrum. Cross-country comparison of the results reveals some discernible patterns in the variations of price and expenditure elasticities as a function of GNP per head. In particular, Food's own-price and expenditure elasticities are estimated to decline in absolute value as real GNP per head increases. Overall, own-price elasticities and cross-price elasticities with respect to food appear to account for about 80% of total price responsiveness in the fitted system.     

Lottery pricing and price elasticity dispersion in the UK and Canada

We estimate effective price elasticities for different quantiles of the demand distribution of the UK National Lottery and the Canadian Lotto 649. We show that price elasticities vary significantly from draw to draw and have a tendency to increase with lottery participation and jackpot size. Our findings indicate that setting lottery rules on the basis of mean effective price elasticities should be faced with caution because expected profits are negatively related to the evident variation of elasticities among lottery draws. We also simulate alternative active rollover distributions and show that limiting the rollover accumulation by withholding portions and ploughing them back in future nonrollover draws is potentially profitable.     

Using Elasticities to Derive Optimal Income Tax Rates

This paper derives optimal income tax formulas using compensated and uncompensated elasticities of earnings with respect to tax rates. A simple formula for the high income optimal tax rate is obtained as a function of these elasticities and the thickness of the top tail of the income distribution. In the general non-linear income tax problem, this method using elasticities shows precisely how the different economic effects come into play and which are the key relevant parameters in the optimal income tax formulas of Mirrlees. The optimal non-linear tax rate formulas are expressed in terms of elasticities and the shape of the income distribution. These formulas are implemented numerically using empirical earning distributions and a range of realistic elasticity parameters.