Skip to main content
Log in

Comparison of Frontier Efficiency Methods: An Application to the U.S. Life Insurance Industry

  • Published:
Journal of Productivity Analysis Aims and scope Submit manuscript

Abstract

The objective of this paper is to provide new information on the performance of efficiency estimation methods by applying a wide range of econometric and mathematical programming techniques to a sample of U.S. life insurers. Average efficiencies differ significantly across methods. The efficiency rankings are well-preserved among the econometric methods; but the rankings are less consistent between the econometric and mathematical programming methods and between the data envelopment analysis and free disposal hull techniques. Thus, the choice of estimation method can have a significant effect on the conclusions of an efficiency study. Most of the insurers in the sample display either increasing or decreasing returns to scale, and stock and mutual insurers are found to be equally efficient after controlling for firm size.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Akella, S. R., and S. I. Greenbaum. (1988). “Savings and Loan Ownership Structure and Expense-Preference.” Journal of Banking and Finance 12, 419–437.

    Google Scholar 

  • Aly, H. Y., R. Grabowski, C. Pasurka, and N. Rangan. (1990). “Technical, Scale, and Allocative Efficiencies in U. S. Banking: An Empirical Investigation.” Review of Economics and Statistics 72, 211–218.

    Google Scholar 

  • Banker, R. D., A. Charnes, and W. W. Cooper. (1984). “Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis.” Management Science 30, 1078–1092.

    Google Scholar 

  • Banker, R. D., R. F. Conrad, and R. P. Strauss. (1986). “AComparative Application of Data Envelopment Analysis and Translog Methods: An Illustrative Study of Hospital Production.” Management Science 32, 30–44.

    Google Scholar 

  • Battese, G. E., and T. J. Coelli. (1988). “Prediction of Firm-Level Technical Efficiencies with a Generalized Frontier Production Function and Panel Data.” Journal of Econometrics 38, 387–399.

    Google Scholar 

  • Bauer, P. W., A. N. Berger, and D. B. Humphrey. (1993). “Efficiency and Productivity Growth in U.S. Banking.” In H. O. Fried, C. A. K. Lovell, and S. S. Schmidt (Eds.), The Measurement of Productive Efficiency. New York: Oxford University Press.

    Google Scholar 

  • Bauer, P. W., A. N. Berger, G. D. Ferrier, and D. B. Humphrey. (1998). “Consistency Conditions for Regulatory Analysis of Financial Institutions: A Comparison of Frontier Efficiency Methods.” Journal of Economics and Business, forthcoming.

  • Berger, A. N. (1993). “‘Distribution-Free’ Estimates of Efficiency of in the U.S. Banking Industry and Tests of the Standard Distributional Assumptions.” Journal of Productivity Analysis 4, 261–292.

    Google Scholar 

  • Berger, A. N., and T. H. Hannan. (1997). “The Efficiency Cost of Market Power in the Banking Industry: A Test of the ‘Quiet Life’ and Related Hypotheses.” Review of Economics and Statistics, forthcoming.

  • Berger, A. N., and D. B. Humphrey. (1997). “Efficiency of Financial Institutions: International Survey and Directions for Future Research.” European Journal of Operational Research 98, 175–212.

    Google Scholar 

  • Berger, A. N., and L. J. Mester. (1997). “Beyond the Black Box: What Explains Differences in the Efficiencies of Financial Institutions?” Journal of Banking and Finance 21, forthcoming.

  • Byrnes, P., R. Färe, and Grosskopf. (1984). “Measuring Productive Efficiency: An Application to Illinois Strip Mines.” Management Science 30, 671–681.

    Google Scholar 

  • Cebenoyan, A. S., E. S. Cooperman, C. A. Register, and S. C. Hudgins. (1993). “The Relative Efficiency of Stock Versus Mutual S&Ls: A Stochastic Cost Frontier Approach.” Journal of Financial Services Research 7, 151–170.

    Google Scholar 

  • Charnes, A., W. W. Cooper, A. Lewin, and L. Seiford (Eds.). (1994). Data Envelopment Analysis: Theory, Methodology, and Applications. Boston: Kluwer Academic Publishers.

    Google Scholar 

  • Charnes, A., W. W. Cooper, and E. Rhodes. (1978). “Measuring the Efficiency of Decision Making Units.” European Journal of Operational Research 2, 429–444.

    Google Scholar 

  • Christensen, L., D. Jorgenson, and L. Lau. (1973). “Transcendental Logarithmic Production Functions.” Review of Economics and Statistics 55, 28–45.

    Google Scholar 

  • Cummins, J. D., and M. A. Weiss. (1993). “Measuring Cost Efficiency in the Property-Liability Insurance Industry.” Journal of Banking and Finance 17, 463–481.

    Google Scholar 

  • Cummins, J. D., and M. A. Weiss. (1998). “Analyzing Firm Performance in the Insurance Industry Using Frontier Efficiency Methods.” In G. Dionne, ed., Handbook of Insurance Economics. Boston: Kluwer Academic Publishers, forthcoming.

    Google Scholar 

  • DeBorger, B., G. D. Ferrier, and K. Kerstens. (1995). “The Choice of a Technical Efficiency Measure on the Free Disposal Hull Reference Technology: A Comparison Using U.S. Banking Data.” Working paper, University of Arkansas, U.S.A.

    Google Scholar 

  • DeBorger, B., and K. Kerstens. (1996). “Cost Efficiency of Belgian Local Governments: A Comparative Analysis of FDH, DEA, and Econometric Approaches.” Regional Science and Urban Economics 26, 145–170.

    Google Scholar 

  • Eisenbeis, R. A., G. D. Ferrier, and S. Kwan. (1997). “The Informativeness of Linear Programming and Econometric Efficiency Scores: An Analysis Using U.S. Banking Data.” Working paper, Bureau of Business and Economic Research, University of Arkansas.

  • Fecher, F., D. Kessler, S. Perelman, and P. Pestieau. (1993). “Productive Performance of the French Insurance Industry.” Journal of Productivity Analysis 4, 77–93.

    Google Scholar 

  • Ferrier, G. D., and C. A. K. Lovell. (1990). “Measuring Cost Efficiency in Banking: Econometric and Linear Programming Evidence.” Journal of Econometrics 46, 229–245.

    Google Scholar 

  • Fried, H. O., C. A. K. Lovell, and P Vanden Eeckaut. (1993). “Evaluating the Performance of U.S. Credit Unions.” Journal of Banking and Finance 17, 251–266.

    Google Scholar 

  • Fukuyama, H. (1997). “Investigating Productive Efficiency and Productivity Change of Japanese Life Insurance Companies.” Pacific-Basin Finance Journal 122.

  • Gardner, L., and M. F. Grace. (1993). “X-Efficiency in the U.S. Life Insurance Industry.” Journal of Banking and Finance 17, 497–510.

    Google Scholar 

  • Giokas, D. (1991). “Bank Branch Operating Efficiency: A Comparative Application of DEA and the Loglinear Model.” OMEGA International Journal of Management Science 19, 549–557.

    Google Scholar 

  • Grace, M. F., and S. G. Timme. (1992). “An Examination of Cost Economies in the United States Life Insurance Industry.” Journal of Risk and Insurance 59, 72–103.

    Google Scholar 

  • Greene, W. H. (1993). “The Econometric Approach to Efficiency Analysis.” In H. O. Fried, C. A. K. Lovell, and S. S. Schmidt (Eds.), The Measurement of Productive Efficiency. New York: Oxford University Press.

    Google Scholar 

  • Greene, W. H. (1990). “A Gamma-Distributed Stochastic Frontier Model.” Journal of Econometrics 13, 141–163.

    Google Scholar 

  • Hasan, I., and W. C. Hunter. (1996). “Efficiency of Japanese Multinational Banks in the U.S.” In A. H. Chen (Ed.), Research in Finance 14, 157–173. Greenwich, CT: JAI Press.

    Google Scholar 

  • Hjalmarsson, L., S. C. Kumbhakar, and A. Heshmati. (1996). “DEA, DFA and SFA: A Comparison.” Journal of Productivity Analysis 7, 303–328.

    Google Scholar 

  • Lewin, A. Y., R. C. Morey, and T. J. Cook. (1982). “Evaluating the Administrative Efficiency of Courts.” Omega 10, 401–411.

    Google Scholar 

  • Lovell, C. A. K. (1993). “Production Frontiers and Productive Efficiency.” In H. O. Fried, C. A. K. Lovell, and S. S. Schmidt (Eds.), The Measurement of Productive Efficiency. New York: Oxford University Press.

    Google Scholar 

  • Mayers, D., and C. W. Smith, Jr. (1981). “Contractual Provisions, Organizational Structure, and Conflict Control in Insurance Markets.” Journal of Business 54, 407–434.

    Google Scholar 

  • Mester, L. J. (1989). “Testing for Expense Preference Behavior: Mutual versus Stock Savings and Loans.” The Rand Journal of Economics 20, 483–498.

    Google Scholar 

  • Resti, A. (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 and Finance 20, 221–250.

    Google Scholar 

  • Schmidt, P., and R. C. Sickles. (1984). “Production Frontiers and Panel Data.” Journal of Business and Economic Statistics 2, 299–326.

    Google Scholar 

  • Seiford, L. M., and R. M. Thrall. (1990). “Recent Development in DEA: The Mathematical Programming Approach to Frontier Analysis.” Journal of Econometrics 46, 7–38.

    Google Scholar 

  • Tulkens, H. (1993). “On FDH Efficiency Analysis: Some Methodological Issues and Applications to Retail Banking, Courts and Urban Transit.” Journal of Productivity Analysis 4, 183–210.

    Google Scholar 

  • Vanden Eeckaut, P., H. Tulkens, and M. A. Jamar. (1993). “Cost Efficiency in Belgian Municipalities.” In H. O. Fried, C. A. K. Lovell, and S. S. Schmidt (Eds.), The Measurement of Productive Efficiency. New York: Oxford University Press.

    Google Scholar 

  • Weiss, M. A. (1986). “Analysis of Productivity at the Firm Level: An Application to Life Insurers.” Journal of Risk and Insurance 53, 49–84.

    Google Scholar 

  • Yuengert, A. M. (1993). “The Measurement of Efficiency in Life Insurance: Estimates of aMixed Normal-Gamma Error Model.” Journal of Banking and Finance 17, 483–496.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Cummins, J.D., Zi, H. Comparison of Frontier Efficiency Methods: An Application to the U.S. Life Insurance Industry. Journal of Productivity Analysis 10, 131–152 (1998). https://doi.org/10.1023/A:1026402922367

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1026402922367

Navigation