IDEAS home Printed from https://ideas.repec.org/a/bla/manchs/v71y2003i3p341-362.html
   My bibliography  Save this article

Estimation of Technical and Allocative Inefficiency Using Fourier Flexible Cost Frontiers for Taiwan's Banking Industry

Author

Listed:
  • Tai‐Hsin Huang
  • Mei‐Hui Wang

Abstract

We construct a Fourier flexible functional form which can globally approximate the unknown true function, taking into account both technical inefficiency and allocative inefficiency components to avoid possible specification error. Empirical results suggest that technical inefficiency alone raises a bank's cost about 12 per cent on average, that allocative inefficiency alone raises an average bank's cost 15.8 per cent, and that the cost rises due to allocative inefficiency decrease over time. Translog evidence on economic efficiency suggests a much higher cost savings when achieving both technical and allocative efficiency than does the Fourier flexible function.

Suggested Citation

  • Tai‐Hsin Huang & Mei‐Hui Wang, 2003. "Estimation of Technical and Allocative Inefficiency Using Fourier Flexible Cost Frontiers for Taiwan's Banking Industry," Manchester School, University of Manchester, vol. 71(3), pages 341-362, June.
    • Handle: RePEc:bla:manchs:v:71:y:2003:i:3:p:341-362
    DOI: 10.1111/1467-9957.00350
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/1467-9957.00350
    Download Restriction: no
    File URL: https://libkey.io/10.1111/1467-9957.00350?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Ivaldi, Marc, et al, 1996. "Comparing Fourier and Translog Specifications of Multiproduct Technology: Evidence from an Incomplete Panel of French Farmers," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(6), pages 649-667, Nov.-Dec..
    2. Pulley, Lawrence B & Humphrey, David B, 1993. "The Role of Fixed Costs and Cost Complementarities in Determining Scope Economies and the Cost of Narrow Banking Proposals," The Journal of Business, University of Chicago Press, vol. 66(3), pages 437-462, July.
    3. Mester, Loretta J., 1993. "Efficiency in the savings and loan industry," Journal of Banking & Finance, Elsevier, vol. 17(2-3), pages 267-286, April.
    4. Pulley, Lawrence B & Braunstein, Yale M, 1992. "A Composite Cost Function for Multiproduct Firms with an Application to Economies of Scope in Banking," The Review of Economics and Statistics, MIT Press, vol. 74(2), pages 221-230, May.
    5. Berger, Allen N. & Leusner, John H. & Mingo, John J., 1997. "The efficiency of bank branches," Journal of Monetary Economics, Elsevier, vol. 40(1), pages 141-162, September.
    6. Lau, Lawrence J & Yotopoulos, Pan A, 1971. "A Test for Relative Efficiency and Application to Indian Agriculture," American Economic Review, American Economic Association, vol. 61(1), pages 94-109, March.
    7. Atkinson, Scott E & Cornwell, Christopher, 1994. "Parametric Estimation of Technical and Allocative Inefficiency with Panel Data," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 35(1), pages 231-243, February.
    8. Tai-Hsin Huang, 2000. "Estimating X-Efficiency in Taiwanese Banking Using a Translog Shadow Profit Function," Journal of Productivity Analysis, Springer, vol. 14(3), pages 225-245, November.
    9. Berger, Allen N. & Humphrey, David B., 1991. "The dominance of inefficiencies over scale and product mix economies in banking," Journal of Monetary Economics, Elsevier, vol. 28(1), pages 117-148, August.
    10. Berger, Allen N. & Mester, Loretta J., 1997. "Inside the black box: What explains differences in the efficiencies of financial institutions?," Journal of Banking & Finance, Elsevier, vol. 21(7), pages 895-947, July.
    11. Tai-Hsin Huang & Mei-Hui Wang, 2001. "Measuring scale and scope economies in multiproduct banking? A stochastic frontier cost function approach," Applied Economics Letters, Taylor & Francis Journals, vol. 8(3), pages 159-162.
    12. Humphrey, David B & Pulley, Lawrence B, 1997. "Banks' Responses to Deregulation: Profits, Technology, and Efficiency," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 29(1), pages 73-93, February.
    13. Berger, Allen N. & Hancock, Diana & Humphrey, David B., 1993. "Bank efficiency derived from the profit function," Journal of Banking & Finance, Elsevier, vol. 17(2-3), pages 317-347, April.
    14. Berger, Allen N. & Humphrey, David B., 1997. "Efficiency of financial institutions: International survey and directions for future research," European Journal of Operational Research, Elsevier, vol. 98(2), pages 175-212, April.
    15. Berg, Sigbjorn Atle & Kim, Moshe, 1994. "Oligopolistic Interdependence and the Structure of Production in Banking: An Empirical Evaluation," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 26(2), pages 309-322, May.
    16. Gallant, A. Ronald & Souza, Geraldo, 1991. "On the asymptotic normality of Fourier flexible form estimates," Journal of Econometrics, Elsevier, vol. 50(3), pages 329-353, December.
    17. Lovell, C A Knox & Sickles, Robin C, 1983. "Testing Efficiency Hypotheses in Joint Production: A Parametric Approach," The Review of Economics and Statistics, MIT Press, vol. 65(1), pages 51-58, February.
    18. Gallant, A. Ronald, 1982. "Unbiased determination of production technologies," Journal of Econometrics, Elsevier, vol. 20(2), pages 285-323, November.
    19. J. Cummins & Hongmin Zi, 1998. "Comparison of Frontier Efficiency Methods: An Application to the U.S. Life Insurance Industry," Journal of Productivity Analysis, Springer, vol. 10(2), pages 131-152, October.
    20. Gallant, A. Ronald, 1981. "On the bias in flexible functional forms and an essentially unbiased form : The fourier flexible form," Journal of Econometrics, Elsevier, vol. 15(2), pages 211-245, February.
    21. Glass, J C & McKillop, Donal G & Hyndman, N, 1995. "Efficiency in the Provision of University Teaching and Research: An Empirical Analysis of UK Universities," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 10(1), pages 61-72, Jan.-Marc.
    22. Berger, Allen N. & DeYoung, Robert, 1997. "Problem loans and cost efficiency in commercial banks," Journal of Banking & Finance, Elsevier, vol. 21(6), pages 849-870, June.
    23. Tai‐Hsin Huang, 1999. "A Parametric Estimation of Bank Efficiencies Using a Flexible Profit Function with Panel Data," Australian Economic Papers, Wiley Blackwell, vol. 38(4), pages 422-445, December.
    24. Atkinson, Scott E & Halvorsen, Robert, 1980. "A Test of Relative and Absolute Price Efficiency in Regulated Utilities," The Review of Economics and Statistics, MIT Press, vol. 62(1), pages 81-88, February.
    25. Elbadawi, Ibrahim & Gallant, A Ronald & Souza, Geraldo, 1983. "An Elasticity Can Be Estimated Consistently without A Priori Knowledge of Functional Form," Econometrica, Econometric Society, vol. 51(6), pages 1731-1751, November.
    26. Mitchell, Karlyn & Onvural, Nur M, 1996. "Economies of Scale and Scope at Large Commercial Banks: Evidence from the Fourier Flexible Functional Form," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 28(2), pages 178-199, May.
    27. Tai–Hsin Huang & Mei–Hui Wang, 2002. "Comparison of Economic Efficiency Estimation Methods: Parametric and Non–parametric Techniques," Manchester School, University of Manchester, vol. 70(5), pages 682-709, September.
    28. Ferrier, Gary D. & Lovell, C. A. Knox, 1990. "Measuring cost efficiency in banking : Econometric and linear programming evidence," Journal of Econometrics, Elsevier, vol. 46(1-2), pages 229-245.
    29. Kim, H Youn, 1986. "Economies of Scale and Economies of Scope in Multiproduct Financial Institutions: Further Evidence from Credit Unions: A Note," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 18(2), pages 220-226, May.
    30. McAllister, Patrick H. & McManus, Douglas, 1993. "Resolving the scale efficiency puzzle in banking," Journal of Banking & Finance, Elsevier, vol. 17(2-3), pages 389-405, April.
    31. Bauer, Paul W. & Berger, Allen N. & Ferrier, Gary D. & Humphrey, David B., 1998. "Consistency Conditions for Regulatory Analysis of Financial Institutions: A Comparison of Frontier Efficiency Methods," Journal of Economics and Business, Elsevier, vol. 50(2), pages 85-114, March.
    32. Chalfant, James A. & Gallant, A. Ronald, 1985. "Estimating substitution elasticities with the Fourier cost function : Some Monte Carlo results," Journal of Econometrics, Elsevier, vol. 28(2), pages 205-222, May.
    33. Kumbhakar, Subal C, 1991. "The Measurement and Decomposition of Cost-Inefficiency: The Translog Cost System," Oxford Economic Papers, Oxford University Press, vol. 43(4), pages 667-683, October.
    34. Atkinson, Scott E & Halvorsen, Robert, 1984. "Parametric Efficiency Tests, Economies of Scale, and Input Demand in U.S. Electric Power Generation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 25(3), pages 647-662, October.
    35. Berg, Sigbjorn Atle & Kim, Moshe, 1998. "Banks as Multioutput Oligopolies: An Empirical Evaluation of the Retail and Corporate Banking Markets," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 30(2), pages 135-153, May.
    36. repec:bla:ausecp:v:38:y:1999:i:4:p:422-45 is not listed on IDEAS
    37. Atkinson, Scott E. & Cornwell, Christopher, 1993. "Measuring technical efficiency with panel data : A dual approach," Journal of Econometrics, Elsevier, vol. 59(3), pages 257-261, October.
    38. Berger, Allen N. & Hunter, William C. & Timme, Stephen G., 1993. "The efficiency of financial institutions: A review and preview of research past, present and future," Journal of Banking & Finance, Elsevier, vol. 17(2-3), pages 221-249, April.
    39. repec:bla:scandj:v:92:y:1990:i:3:p:437-51 is not listed on IDEAS
    40. Bauer, Paul W., 1990. "Recent developments in the econometric estimation of frontiers," Journal of Econometrics, Elsevier, vol. 46(1-2), pages 39-56.
    41. Atkinson, Scott E & Cornwell, Christopher, 1994. "Estimation of Output and Input Technical Efficiency Using a Flexible Form and Panel Data," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 35(1), pages 245-255, February.
    42. Resti, Andrea, 1997. "Evaluating the cost-efficiency of the Italian Banking System: What can be learned from the joint application of parametric and non-parametric techniques," Journal of Banking & Finance, Elsevier, vol. 21(2), pages 221-250, February.
    43. White, Halbert, 1980. "Using Least Squares to Approximate Unknown Regression Functions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 21(1), pages 149-170, February.
    44. Murray, John D & White, Robert W, 1983. "Economies of Scale and Economies of Scope in Multiproduct Financial Institutions: A Study of British Columbia Credit Unions," Journal of Finance, American Finance Association, vol. 38(3), pages 887-902, June.
    45. Kumbhakar, Subal C., 1997. "Modeling allocative inefficiency in a translog cost function and cost share equations: An exact relationship," Journal of Econometrics, Elsevier, vol. 76(1-2), pages 351-356.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Francesco Aiello & Graziella Bonanno, 2018. "On The Sources Of Heterogeneity In Banking Efficiency Literature," Journal of Economic Surveys, Wiley Blackwell, vol. 32(1), pages 194-225, February.
    2. Francesco Aiello & Graziella Bonanno, 2016. "Efficiency in banking: a meta-regression analysis," International Review of Applied Economics, Taylor & Francis Journals, vol. 30(1), pages 112-149, January.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Mai, Nhat Chi, 2015. "Efficiency of the banking system in Vietnam under financial liberalization," OSF Preprints qsf6d, Center for Open Science.
    2. Bernardo Maggi & Stefania P. S. Rossi, 2003. "An efficiency analysis of banking systems: a comparison of European and United States large commercial banks using different functional forms," Vienna Economics Papers 0306, University of Vienna, Department of Economics.
    3. Berger, Allen N. & Humphrey, David B., 1997. "Efficiency of financial institutions: International survey and directions for future research," European Journal of Operational Research, Elsevier, vol. 98(2), pages 175-212, April.
    4. Tai-Hsin Huang & Chung-Hua Shen & Kuan-Chen Chen & Shen-Ju Tseng, 2011. "Measuring technical and allocative efficiencies for banks in the transition countries using the Fourier flexible cost function," Journal of Productivity Analysis, Springer, vol. 35(2), pages 143-157, April.
    5. Williams, Jonathan, 2004. "Determining management behaviour in European banking," Journal of Banking & Finance, Elsevier, vol. 28(10), pages 2427-2460, October.
    6. Altunbas, Y. & Gardener, E. P. M. & Molyneux, P. & Moore, B., 2001. "Efficiency in European banking," European Economic Review, Elsevier, vol. 45(10), pages 1931-1955, December.
    7. Tai-hsin Huang & Mei-hui Wang, 2004. "Comparisons of Economic Inefficiency Between Output and Input Measures of Technical Inefficiency Using the Fourier Flexible Cost Function," Journal of Productivity Analysis, Springer, vol. 22(1), pages 123-142, July.
    8. Yingzhuo Yu & Cesar Escalante & Xiaohui Deng & Jack Houston & Lewell Gunter, 2011. "Analysing scale and scope specialization efficiencies of US agricultural and nonagricultural banks using the Fourier flexible functional form," Applied Financial Economics, Taylor & Francis Journals, vol. 21(15), pages 1103-1116.
    9. Berger, Allen N. & Demsetz, Rebecca S. & Strahan, Philip E., 1999. "The consolidation of the financial services industry: Causes, consequences, and implications for the future," Journal of Banking & Finance, Elsevier, vol. 23(2-4), pages 135-194, February.
    10. Bernardo Maggi & Marco Guida, 2011. "Modelling non-performing loans probability in the commercial banking system: efficiency and effectiveness related to credit risk in Italy," Empirical Economics, Springer, vol. 41(2), pages 269-291, October.
    11. Wheelock, David C. & Wilson, Paul W., 2001. "New evidence on returns to scale and product mix among U.S. commercial banks," Journal of Monetary Economics, Elsevier, vol. 47(3), pages 653-674, June.
    12. Mohanty, Sunil K. & Lin, Winston T. & Lin, Hong-Jen, 2013. "Measuring cost efficiency in presence of heteroskedasticity: The case of the banking industry in Taiwan," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 26(C), pages 77-90.
    13. repec:zbw:bofitp:2000_007 is not listed on IDEAS
    14. Hasan, Iftekhar & Marton, Katherin, 2003. "Development and efficiency of the banking sector in a transitional economy: Hungarian experience," Journal of Banking & Finance, Elsevier, vol. 27(12), pages 2249-2271, December.
    15. Chu, Sing Fat & Lim, Guan Hua, 1998. "Share performance and profit efficiency of banks in an oligopolistic market: evidence from Singapore," Journal of Multinational Financial Management, Elsevier, vol. 8(2-3), pages 155-168, September.
    16. Dairo Estrada & Poldy Osorio, 2004. "Effects of Financial Capital on Colombian Banking Efficiency," Revista ESPE - Ensayos sobre Política Económica, Banco de la Republica de Colombia, vol. 22(47), pages 162-201, December.
    17. Guohua Feng & Apostolos Serletis, 2009. "Efficiency and productivity of the US banking industry, 1998-2005: evidence from the Fourier cost function satisfying global regularity conditions," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 24(1), pages 105-138.
    18. Tai-Hsin Huang & Kuan-Chen Chen & Chien-Hsiu Lin & Ming-Tai Chung, 2014. "Consistent estimation of technical and allocative efficiencies for a semiparametric stochastic cost frontier with shadow input prices," Journal of Productivity Analysis, Springer, vol. 41(2), pages 307-320, April.
    19. Berger, Allen N. & Mester, Loretta J., 1997. "Inside the black box: What explains differences in the efficiencies of financial institutions?," Journal of Banking & Finance, Elsevier, vol. 21(7), pages 895-947, July.
    20. José Luis Carreño & Gino Loyola & Yolanda Portilla, 2010. "Eficiencia Bancaria en Chile: un Enfoque de Frontera de Beneficios," Working Papers Central Bank of Chile 603, Central Bank of Chile.
    21. Daniel Gropper & Steven Caudill & T. Beard, 1999. "Estimating Multiproduct Cost Functions Over Time Using a Mixture of Normals," Journal of Productivity Analysis, Springer, vol. 11(3), pages 201-218, June.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:bla:manchs:v:71:y:2003:i:3:p:341-362. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://edirc.repec.org/data/semanuk.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.