IDEAS home Printed from https://ideas.repec.org/a/eee/proeco/v204y2018icp123-134.html
   My bibliography  Save this article

A note on the linear and annuity class of depreciation methods

Author

Listed:
  • Jennergren, L. Peter

Abstract

Depreciation methods are used for allocating acquisition costs of long-lived assets to individual years that benefit from those assets, e. g., in connection with product pricing and regulation of public utilities. The following depreciation methods are sometimes mentioned together in the literature: Nominal linear, real linear, nominal annuity, and real annuity. All are shown to be special cases of one generic formula. For that reason, they are referred to collectively as the linear and annuity class of depreciation methods. The members of this class are ranked (to the extent possible) by their book values. Such a ranking indicates the relative depreciation rates of the class members, and also relative savings due to tax-deductible depreciation. Two applications of members of the linear and annuity class are discussed, to product pricing in classical equilibrium theory, and to incentives for undertaking an investment project. The essential insight from this note is that it is meaningful to group the members of the linear and annuity class into one well-defined class of depreciation methods.

Suggested Citation

  • Jennergren, L. Peter, 2018. "A note on the linear and annuity class of depreciation methods," International Journal of Production Economics, Elsevier, vol. 204(C), pages 123-134.
  • Handle: RePEc:eee:proeco:v:204:y:2018:i:c:p:123-134
    DOI: 10.1016/j.ijpe.2018.05.004
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0925527318301981
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.ijpe.2018.05.004?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Yard, Stefan, 2004. "Costing fixed assets in Swedish municipalities: Effects of changing calculation methods," International Journal of Production Economics, Elsevier, vol. 87(1), pages 1-15, January.
    2. Rogerson, William P, 1992. "Optimal Depreciation Schedules for Regulated Utilities," Journal of Regulatory Economics, Springer, vol. 4(1), pages 5-33, March.
    3. Lindblom, Ted & Sjögren, Stefan, 2009. "Increasing goal congruence in project evaluation by introducing a strict market depreciation schedule," International Journal of Production Economics, Elsevier, vol. 121(2), pages 519-532, October.
    4. Kevin Davis, 2006. "Access Regime Design and Required Rates of Return: Pitfalls in Adjusting for Inflation and Tax Effects," Journal of Regulatory Economics, Springer, vol. 29(1), pages 103-122, January.
    5. Wakeman, Lee MacDonald, 1980. "Optimal tax depreciation," Journal of Accounting and Economics, Elsevier, vol. 2(3), pages 213-237, December.
    6. Magni, Carlo Alberto, 2016. "Capital depreciation and the underdetermination of rate of return: A unifying perspective," Journal of Mathematical Economics, Elsevier, vol. 67(C), pages 54-79.
    7. Jan Keil, 2016. "Depreciated Depreciation Methods? Alternatives to Sraffa’s Take on Fixed Capital," Review of Political Economy, Taylor & Francis Journals, vol. 28(4), pages 566-589, October.
    8. D. J. Johnstone, 2003. "Replacement Cost Asset Valuation and Regulation of Energy Infrastructure Tariffs," Abacus, Accounting Foundation, University of Sydney, vol. 39(1), pages 1-41, February.
    9. Joseph C. Hartman & Chin Hon Tan, 2014. "Equipment Replacement Analysis: A Literature Review and Directions for Future Research," The Engineering Economist, Taylor & Francis Journals, vol. 59(2), pages 136-153, April.
    10. Buttler, Hans-Jurgen & Beckmann, Martin J, 1980. "Design Parameters in Housing Construction and the Market for Urban Housing," Econometrica, Econometric Society, vol. 48(1), pages 201-225, January.
    11. Küpper, Hans-Ulrich & Pedell, Burkhard, 2016. "Which asset valuation and depreciation method should be used for regulated utilities? An analytical and simulation-based comparison," Utilities Policy, Elsevier, vol. 40(C), pages 88-103.
    12. Schmalensee, Richard, 1989. "An Expository Note on Depreciation and Profitability under Rate-of-Return Regulation," Journal of Regulatory Economics, Springer, vol. 1(3), pages 293-298, September.
    13. Sidney Davidson & David F. Drake, 1961. "Capital Budgeting and the "Best" Tax Depreciation Method," The Journal of Business, University of Chicago Press, vol. 34, pages 442-442.
    14. Kellie Curry Raper & H. Alan Love & C. Richard Shumway, 2007. "Distinguishing the Source of Market Power," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 89(1), pages 78-90.
    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. Mengjie Zhang & Lei Wang & Huanhuan Feng & Luwei Zhang & Xiaoshuan Zhang & Jun Li, 2020. "Modeling Method for Cost and Carbon Emission of Sheep Transportation Based on Path Optimization," Sustainability, MDPI, vol. 12(3), pages 1-23, 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. Küpper, Hans-Ulrich & Pedell, Burkhard, 2016. "Which asset valuation and depreciation method should be used for regulated utilities? An analytical and simulation-based comparison," Utilities Policy, Elsevier, vol. 40(C), pages 88-103.
    2. Jennergren, L. Peter, 2017. "A Note on the Linear and Annuity Class of Depreciation Methods," SSE Working Paper Series in Business Administration 2017:1, Stockholm School of Economics.
    3. Graeme Guthrie, 2006. "Regulating Infrastructure: The Impact on Risk and Investment," Journal of Economic Literature, American Economic Association, vol. 44(4), pages 925-972, December.
    4. Guthrie, Graeme, 2006. "Regulating Infrastructure: The Impact on Risk and Investment," Working Paper Series 18946, Victoria University of Wellington, The New Zealand Institute for the Study of Competition and Regulation.
    5. repec:vuw:vuwscr:18946 is not listed on IDEAS
    6. Graeme Guthrie, 2006. "Regulating Infrastructure: The Impact on Risk and Investment," Journal of Economic Literature, American Economic Association, vol. 44(4), pages 925-972, December.
    7. Guthrie, Graeme, 2020. "Regulation, welfare, and the risk of asset stranding," The Quarterly Review of Economics and Finance, Elsevier, vol. 78(C), pages 273-287.
    8. Kulp, Alison & Hartman, Joseph C., 2011. "Optimal tax depreciation with loss carry-forward and backward options," European Journal of Operational Research, Elsevier, vol. 208(2), pages 161-169, January.
    9. De Waegenaere, A.M.B. & Wielhouwer, J.L., 2008. "Dynamic Tax Depreciation Strategies," Discussion Paper 2008-87, Tilburg University, Center for Economic Research.
    10. Adkins, Roger & Paxson, Dean, 2013. "The effect of tax depreciation on the stochastic replacement policy," European Journal of Operational Research, Elsevier, vol. 229(1), pages 155-164.
    11. Schober, Dominik & Weber, Christoph, 2015. "Refinancing under yardstick regulation with investment cycles: The case of long-lived electricity network assets," ZEW Discussion Papers 15-065, ZEW - Leibniz Centre for European Economic Research.
    12. De Waegenaere, A.M.B. & Wielhouwer, J.L., 2008. "Dynamic Tax Depreciation Strategies," Other publications TiSEM 53102e34-40e3-4c31-a426-9, Tilburg University, School of Economics and Management.
    13. Berg, Menachem & Waegenaere, Anja De & Wielhouwer, Jacco L., 2001. "Optimal tax depreciation with uncertain future cash-flows," European Journal of Operational Research, Elsevier, vol. 132(1), pages 197-209, July.
    14. Kent Fellows, "undated". "Capital Input Decisions under Rate of Return Regulation," Working Papers 2014-37, Department of Economics, University of Calgary, revised 06 Nov 2014.
    15. Kidokoro, Yukihiro, 1998. "Rate of return regulation and rate base valuation," Regional Science and Urban Economics, Elsevier, vol. 28(5), pages 629-654, September.
    16. Dominik Schober, 2013. "Refinancing under Yardstick Regulation with Investment Cycles–The Case of Long-Lived Electricity Network Assets," EWL Working Papers 1321, University of Duisburg-Essen, Chair for Management Science and Energy Economics, revised Jun 2013.
    17. Berg, M. & De Waegenaere, A.M.B. & Wielhouwer, J.L., 1996. "Optimal Tax Reduction by Depreciation : A Stochastic Model," Discussion Paper 1996-102, Tilburg University, Center for Economic Research.
    18. Berg, M. & De Waegenaere, A.M.B. & Wielhouwer, J.L., 1996. "Optimal Tax Reduction by Depreciation : A Stochastic Model," Other publications TiSEM e0cfb53a-86e6-4bd8-992d-e, Tilburg University, School of Economics and Management.
    19. Magni, Carlo Alberto, 2015. "Investment, financing and the role of ROA and WACC in value creation," European Journal of Operational Research, Elsevier, vol. 244(3), pages 855-866.
    20. Nicholas Pawsey & Lin Crase, 2013. "The Mystique of Water Pricing and Accounting," Economic Papers, The Economic Society of Australia, vol. 32(3), pages 328-339, September.
    21. W. Erwin Diewert & Kevin J. Fox, 2016. "Sunk costs and the measurement of commercial property depreciation," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 49(4), pages 1340-1366, November.

    More about this item

    Keywords

    Depreciation; Nominal; Real; Linear; Annuity; Book value; Capital service cost; Depreciation rate; Accelerated depreciation; Incentives;
    All these keywords.

    JEL classification:

    • M41 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Accounting - - - Accounting

    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:eee:proeco:v:204:y:2018:i:c:p:123-134. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/ijpe .

    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.