Estimation of scale and scope economies in multiproduct banking: evidence from the Fourier flexible functional form with panel data

An empirical study is conducted on scale and scope economies for Taiwan's banking industry with panel data using a Fourier flexible cost function developed by Gallant and a translog cost function, both of which take economic efficiency into account. It is found that the Fourier form is more appropriate than the traditional translog form in fitting the data, and that various efficiency measures computed using the Fourier function are compatible with each other, while those computed using the translog function are not. The Fourier evidence shows that sample banks continue to enjoy economies of scale, and exhibit scope diseconomies, which indicates that greater product diversification can reduce banking costs through product-mix economies. Banks may benefit from further diversifying their line of financial services.     

Economies of scale and scope in Flemish secondary schools

This study estimates a multiproduct translog cost function for the entire population of 1011 Flemish secondary schools in order to determine the degree of ray and product specific (dis)economies of scale as well as the degree of (dis)economies of scope. Three types of schools and seven major study fields can be distinguished. Student loads in these study fields are used as outputs produced by the schools. Evidence is found for ray economies of scale for the three types of schools, even at output levels of 300% of the actual means. Although the cost elasticities of six out of seven outputs are close to zero, most of the values indicating the degree of product specific economies of scale are negative (suggesting diseconomies of scale). However, this can be explained by the considerable scope effects which are incorporated in the definition of the product specific economies of scale.     

Cost structure and technological change of local public transport: the Kaohsiung City Bus case

This study has developed a translog cost function for the Kaohsiung City Bus (KCB) to analyse its cost structure and economic characteristics, based on monthly data over the time period from January 1996 to December 2000. The empirical results reveal that economies of density in the provision of bus services in Kaohsiung do prevail. The estimated marginal cost, which is less than the average cost but greater than the current bus fare, indicates that the subsidy is necessary. Due to the existence of returns to density (RTD), the KCB could obtain cost-saving benefits by extending its output scale. The KCB production technology is also not neutral. The effects of technological change on the KCB costs suggest that over the period 1996–2000 technological progress did lead to cost saving; the pure productivity growth rate increased from 0.45% in 1998 to 3% in 2000.     

我国财产保险公司范围经济效应的实证检验与真伪性分析

我国自1996年实施产寿分业经营以来,保险公司数量急剧增加,财险业务中车险的比重不断上升,呈现出“一险独大”的市场状况。运用超越对数成本函数,对国内20家具有代表性的财险公司2005-2012年的范围经济状况进行检验发现,以保费为基础的检验结果与以总资产为基础的检验结果存在着很大差异,意味着我国财险公司的范围经济效应存在着“真伪性”。对此,通过对财务数据、业务结构、业务规模等数据的分析,鉴别了我国财险公司范围经济效应的“真、伪”性。     

A cost-based analysis of scale economies in the French auto industry

This paper examines cost relationships in the French automobile industry using a translog cost function with domestic capital and labor and domestic and foreign intermediate goods inputs. The findings suggest scale economies at lower output levels, but diseconomies at mean and maximum output levels. Cross price elasticity estimates implied all input pairs except capital and foreign parts and labor and domestic parts are substitutes. Except for foreign components, direct price elasticity estimates were inelastic. Thus, further integration of Europe and reduction of foreign input prices may substantially increase their quantity demanded and decrease the demand for domestic labor and parts.     

Are Municipal Electricity Distribution Utilities Natural Monopolies?

The purpose of this study is to analyse the cost structure of the Swiss electricity distribution utilities in order to assess economies of scale and density and the desirability of competition in the distribution of electric power. A translog cost function was estimated using panel data for a sample of 39 municipal utilities over the period 1988–1991. The results indicate the existence of economies of density for most output levels and the existence of economies of scale only for small and medium-sized electric utilities. The empirical evidence suggests that franchised monopolies, rather than side-by-side competition, is the most efficient form of production organization in the electric power distribution industry. Further, the majority of the utilities analysed do not operate at an optimal service territory size. Therefore, the consolidation of small utilities whose service territories are adjacent is likely to reduce costs.     

Economies of scale in the Australian tourism industry

The measurement of economies of scale in the tourism industry has not been done to this point, as tourism is not a specific industry according to international statistical standards. Among many industries related to tourism, four sectors (accommodation, transport, retail trade and recreational services) across six states and two territories from 1997 to 2007 are studied as they contribute nearly 70% of tourism output in Australia. By comparing regression results from the Cobb–Douglas (C–D) production function and the translog production function, we find that there is evidence of increasing returns in transport, retail trade and recreational services at the industry level. However, accommodation is characterized by constant returns to scale at the industry level. As accommodation is responsible for the biggest share of tourism output, this suggests that overall the tourism sector is not characterized by increasing returns. We also find that the degrees of returns to scale from the C–D and translog production functions are different and that the imposition of input share also influences the empirical results. Both of these factors stress the importance of model specification to the measurement of economies of scale.     

State regulation and university behavior

The impact of state regulation on the economic behavior of American public research universities is studied, using a unique sample of data on costs, outputs and regulation measures for 98 institutions. The university cost structure is modeled by a multiple output translog cost function, explicitly allowing for the impact of state regulation. Regulating non-faculty salary expenditures and the spending of non-state revenues decreases costs, while regulating faculty salary expenditures increases costs, given the same output levels. The results are interpreted in terms of the principal-agent relationship of state regulators and universities. Efficiency gains and losses depend on the relative accuracy of state information on the production process.     

Is money an omitted variable in the production function? Some further results

In recent years, numerous studies have emphasized the role of real balances in the production function in terms of money being useful: as an intermediate good; as liquid reserves for investment; and also serving as a link between aggregate supply and the nominal interest rate. In this paper we report new Canadian empirical evidence regarding the important role of money in the production process of aggregate manufacturing industries based on a flexible translog cost function approach. In general, our results support the hypothesis that money is an important factor in the production function and that there are potential supply side effects of a change in the interest rate.     

A translogarithmic cost function approach: Greece, 1953–1977

In this paper we use a two-output three-input specification to model the aggregate Greek economy. We use a translog joint cost function in lieu of its primal dual production function. Output consists of consumption and investment goods produced by the primary inputs and imports classified as a third agent of production. It is found that the cost minimizing input-mix is independent of the composition of output, that traditional functions are inappropriate in modeling Greek technology, and that the three factor inputs are substitutes for each other. Policies concerning the intensity of domestic inputs' use and the BOP are discussed.     

Trade liberalization and the Mexican steel industry

The impact of the North American Free Trade Agreement (NAFTA) on the competitive positions of Mexican and U.S. steel producers is investigated employing a translog cost function with four inputs (capital, labor, domestic intermediate goods, and foreign intermediate goods) to examine scale characteristics and input substitution in Mexican steel production. Results are consistent with diseconomies of scale at high levels of output and with substitute relationships between all input pairs except labor and domestic intermediate goods. Thus, output growth will likely result in cost reductions for Mexican producers only if the industry reaps significant benefits from substitution of foreign inputs for domestic. Recent increases in Mexico's imports of finished steel have much exceeded those of steel industry inputs, and it therefore does not seem likely that a Mexican cost advantage over steel producers in the United States will soon emerge as a result of economies of scale.     

Farm price responsiveness and the choice of functional form: An application to rice cultivation in West Malaysia

The estimated responsiveness of farmers to changes in the prices of output or inputs is in general very sensitive to the econometric model used. Using cross-section survey data for farms in marginal rice-growing districts in West Malaysia price elasticities based on estimated input demand equations derived from a quadratic restricted profit function were found to be superior to those derived from translog or Cobb-Douglas production functions or from a translog restricted profit function. The Cobb-Douglas production function is restrictive and should be used sparingly. Restricted profit functions are only believable if the available price data are of high quality.     

Testing the Induced Innovation Hypothesis in a Cointegrating Regression Model

This study proposes a method for testing the induced innovation hypothesis using a cointegrating regression model. An error correction model of the share equations derived from a translog cost function model is used for the estimation. Cointegration among the variables ensures the existence of the innovation possibility curve. An error correction term of the model represents the technological change process. A difference in the elasticities of factor substitution along the isoquant curve and the innovation possibility curve implies the induced technological innovation. An empirical application is also carried out using time-series data of rice production in Japan.
JEL Classification Numbers: O33, Q10, C32.     

The CES‐‐Translog Production Function, Returns to Scale and AES

The translog functional form imposes no a priori restrictions on the substitution possibilities between the factor inputs, by relaxing the assumption of strong separability, and the CES–translog cost function specification allows for testing homothetic technology with Hicks‐neutral technical change. In this paper an n ‐factor CES–translog production function is presented which develops the parameters to directly assess scale effects from those due to technology in the production structure. In addition, by applying Shephard's lemma it was possible to derive the input demand functions, as well as the partial elasticities of substitution and the cross‐partial price elasticities of demand for a generalized CES–translog production structure.     

Outsourcing, Imports and Labour Demand

This paper examines the effects of purchased services and imported intermediate materials on the labour demand for different skills in German manufacturing sectors. We derive and estimate a factor demand system based on the generalised Box–Cox cost function nesting both the normalised quadratic and the translog functional form. We find that the impacts of output and capital growth are more important in explaining the demand for heterogeneous labour than substitution effects between labour and non–labour inputs. Similarly, the increasing use of both imported materials and purchased services is a consequence of output growth rather than input substitution.
JEL classification : J 23; O 33     

Inter-factor Substitution,economies of scale and technical change: Evidence from Canadian industries

This paper explores the causes of inter-temporal variations in factor intensities and total factor productivity (TFP) in Canadian industries. For this purpose, we estimated translog cost function at the sector level allowing for non-homotheticity and non-neutral technical progress. Our empirical results suggest that about 15 to 20 per cent of the post-1973 slowdown in TFP is due to the inter-industry shifts in factor inputs. The remaining productivity slowdown could be attributed to the world wide slowdown in aggregate demand (lower capacity utilization rates) and the substantial increase in the relative price of energy and raw materials.     

BOD7 production function of the Finnish pulp and paper industry

Traditional neoclassical production theory analyzes the relationship in a production process between inputs and outputs which have a positive market value for the producer. The externalities of production, which have nonpositive market values, are discarded or included as the cost in a cost function. This paper studies the relationship between biological oxygen demand (BOD) emissions, an output of nonpositive value, and traditional factors of production, that is, investments, labor, output, and raw materials. An emissions production function is theoretically presented and empirically estimated with data from the Finnish pulp and paper industry. The approach is based on the observation that it is the minimization of effluents rather than, or together with, the maximization of yields, that increasingly defines the technological frontier of production processes. The empirical function estimation demonstrates the validity of the proposed novel modeling approach.     

Labour and capital saving technical change in telecommunications

The Australian telecommunications sector is being improved and extended through substantial recent investment in intelligent technology such as digital switching, fibre optics, satellite and cellular transmission, and the Internet. These technologies are being progressively integrated with technology from the broadcasting, computer and electronics industries, providing a unified information infrastructure for information transmission and processing. Technological progress embodied in new equipment has the effect of increasing the efficiency of the factors of production. Such efficiency increases can be biased towards a particular factor. For instance, the impact of labour-augmenting technical change is a decline in the cost of labour per unit of production. When such biases are apparent the relativity between the costs of labour and capital per unit of production is changed. In the longer term, technical change can impact on the rate of employment growth and also on the rate of capital accumulation. In this study the Australian telecommunications cost structure is examined for the period 1919 to 1988. To measure labour saving and capital saving technical change a translog cost model is estimated. Multiproduct telecommunications cost studies typically employ the translog cost model (Evans and Heckman, 1984; Roöller, 1990a; 1990b; Shin and Ying, 1992; McKenzie and Small, 1997). The translog model places no a priori restrictions on substitution possibilities among the factors of production, and allows scale economies to vary with the level of output.     

Estimation des Économies D'échelle et de gamme dans de petites coopératives de services financiers: le cas des caisses populaires acadiennes

This study uses accounting data stemming from 80 credit unions affiliated to the "Fédération des caisses populaires acadiennes" to estimate a multi-product translog cost function with the aim to test for the presence of scale and scope economies. The cost model relies on the production approach and the financial services are gathered in four categories of products. The model is completed by three inputs and one control variable, the latter being used to capture the heterogeneity of costs arising from the average wealth of membership. Since the estimated output elasticity of the total cost, 0.89, is statistically less than one, the models detect quite important scale economies. As to scope economies, they are present but the coefficients are weakly significant.