Engineering Valuation Based on Small Samples

  • Cho, Jin-Hyung (Dept. of Industrial & Systems Engineering, Kumoh National Institute of Technology) ;
  • Lee, Sae-Jae (Dept. of Industrial & Systems Engineering, Kumoh National Institute of Technology) ;
  • Seo, Bo-Chul (Dept. of Industrial & Systems Engineering, Kumoh National Institute of Technology)
  • Published : 2006.03.31

Abstract

Box-Cox model and T-factor method have been widely used to measure economic depreciations for industrial property. The Box-Cox model which combines economic efficiency with depreciation pattern is here extended to the reliability function. To do so a Rayleigh distribution which has been used to estimate the reliability of current assets was chosen as an efficiency curve of marginal productivity. Such an approach provides the possibility to classify the efficiency curves into four categories. It is also possible to analyze the types of depreciation curves. Therefore, the power family of a non-linear Box-Cox model could be set at certain constant values, then the model can be transformed into a linear model to estimate the economic depreciation rates by utilizing the reliability function. Estimating the resultant linear regression equation requires minimal number of observations, while at the same time facilitating the test of hypothesis on depreciation rates.

Keywords

References

  1. Kwak Tae-won 'Depreciation Method and Taxation on Capital Income,' Korea Development Institute, 1985
  2. Kim Jae-won, Cho Jin-hyung, Kim Yong-sup, 'Capital Structure of Korean Manufacturing according to Industry and Size.' Korea Development Institute, 1984(Unpublished)
  3. Park Kyung-soo Reliability Engineering and Maintenance Theory, Hee Joong Dang, 1989
  4. Cho Jin-hyung, 'Investigation on Time-series Trend of Capital Stock according to Industry Size,' The Proceeding of Treatises, Kumoh National University of Technology, Vol. 4, 1983
  5. Cho Jin-hyung, 'Study on Substantive Depreciation Curve in S. Korean Manufacturing according to asset types,' The Proceeding of Engineering Management Society, Vol. 13 Issue 22, 1990
  6. Cho Jin-hyung, Kim Sung-jip, 'Study on Measurement Method of Economic Depreciation,' The Proceeding of Engineering Management Society, Vol.19, Issue 39, 1996
  7. Joo Hak-joong, Kim Yong-sup, and Yoon Joo-hyun, 'Statistics on S. Korean Industrial stocks: 1960-1977,' 1982
  8. Hyun Jin-kwon, 'Calculation of Economic Depreciation Using Market Price Data,' S. Korean Tax Research Institute, 1994
  9. American Gas Association & Edision Electric Institute, An Appraisal of Methods for Estimating Service Lives of Utility Properties, AGA & EEI, 1942
  10. Beidleman, K., Valuation of Used Capital Assets, Accounting Association, 1973
  11. Bhat, U., Elements of Applied Stochastic Processes, John Wiley & Sons, Inc., 1972
  12. Cowles, H. and A. Elfar, 'Valuation of Industrial Property : A Proposed Model,' Engineering Economist, Vol.23, No.3, 1978
  13. Cowles, H. and M. Whelan, 'Estimation of Declining Operation Returns,' Engineering Economist, Vol.31, No.2, 1986
  14. Coughlan, J. and W. Stand, Depreciations, The Roland Press Company, 1969
  15. Elfar, A., 'Valuations of Machinery and Equipment for Industrial Properties,' Ph. D. dissertation(unpublished), Iowa State University, 1976
  16. Fitch, W. C., F. K. Wolf, and B. H. Bissinger, The. Estimation of Depreciation, DPI, 1982
  17. Hanke, S. and S. Walters, 'Recent Controversies in the Valuation of Utility Property,' Public Utilities Fortnightly, July, 1988
  18. Heathfield, D. and S. Wibe, An Introduction to Cost and Production Functions, Macmillan, 1987
  19. Hulten, C. and F. Wykoff, 'Economic Depreciation and the Taxation of Structures in the United States Manufacturing Industries : An Empirical Analysis,' The Measurement of Capital,' edited by D. Usher, The University of Chicago Press, 1980
  20. Hulten C.(editor), Depreciation, Inflation and Taxation of Income from Capital, The Urban Institute Press, 1981
  21. Jones, P., J. Zydiak and W. Hopp, 'Stationary Dual Prices and Depreciation,' Mathematical Programming, Vol.41, No.3, 1988
  22. Marston, A., R. Winfrey and J. Hempstead, Engineering Valuation and Depreciation, Iowa State University Press, 1982
  23. Riggs, J., Engineering Economics, McGraw-Hill, 1987
  24. Young, A. and J. Musgrave, 'Estimation of Capital Stock in the United States,' The Measurement of Capital, edited by D. Usher, The University of Chicago Press, 1980
  25. Ward, H., The Measurement of Capital, OECD, 1976
  26. Whelan, M., 'The Estimation of Declining Operation Returns for Industry Property,' Ph. D. dissertation(unpublished), Iowa State Univ., 1981