IDEAS home Printed from https://ideas.repec.org/a/vrs/founma/v9y2017i1p99-110n8.html
   My bibliography  Save this article

Does Macaulay Duration Provide The Most Cost-Effective Immunization Method – A Theoretical Approach

Author

Listed:
  • Zaremba Leszek

    (Academy of Finance and Business Vistula, Institute of Finance, Warsaw, Poland)

Abstract

In the following, we offer a theoretical approach that attempts to explain (Comments 1-3) why and when the Macaulay duration concept happens to be a good approximation of a bond’s price sensitivity. We are concerned with the basic immunization problem with a single liability to be discharged at a future time q. Our idea is to divide the class K of all shifts a(t) of a term structure of interest rates s(t) into many classes and then to find a sufficient and necessary condition a given bond portfolio, dependent on a class of shifts, must satisfy to secure immunization at time q against all shifts a(t) from that class. For this purpose, we introduce the notions of dedicated duration and dedicated convexity. For each class of shifts, we show how to choose from a bond market under consideration a portfolio with maximal dedicated convexity among all immunizing portfolios. We demonstrate that the portfolio yields the maximal unanticipated rate of return and appears to be uniquely determined as a barbell strategy (portfolio) built up with 2 zero-coupon bearing bonds with maximal and respective minimal dedicated durations. Finally, an open problem addressed to researchers performing empirical studies is formulated.

Suggested Citation

  • Zaremba Leszek, 2017. "Does Macaulay Duration Provide The Most Cost-Effective Immunization Method – A Theoretical Approach," Foundations of Management, Sciendo, vol. 9(1), pages 99-110, February.
    • Handle: RePEc:vrs:founma:v:9:y:2017:i:1:p:99-110:n:8
    DOI: 10.1515/fman-2017-0008
    as

    Download full text from publisher

    File URL: https://doi.org/10.1515/fman-2017-0008
    Download Restriction: no
    File URL: https://libkey.io/10.1515/fman-2017-0008?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. Ravi Bansal & Hao Zhou, 2002. "Term Structure of Interest Rates with Regime Shifts," Journal of Finance, American Finance Association, vol. 57(5), pages 1997-2043, October.
    2. Fisher, Lawrence & Weil, Roman L, 1971. "Coping with the Risk of Interest-Rate Fluctuations: Returns to Bondholders from Naive and Optimal Strategies," The Journal of Business, University of Chicago Press, vol. 44(4), pages 408-431, October.
    3. Zheng, H. & Thomas, L.C. & Allen, D.E., 2001. "The Duration Derby: A Comparison of Duration Based Strategies in Asset Liability Management," Papers 01-176, University of Southampton - Department of Accounting and Management Science.
    4. Harry Zheng, 2007. "Macaulay durations for nonparallel shifts," Annals of Operations Research, Springer, vol. 151(1), pages 179-191, April.
    Full references (including those not matched with items on IDEAS)

    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. George G. Kaufman, 1980. "Duration, Planning Period, And Tests Of The Capital Asset Pricing Model," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 3(1), pages 1-9, March.
    2. Bansal, Ravi & Miller, Shane & Song, Dongho & Yaron, Amir, 2021. "The term structure of equity risk premia," Journal of Financial Economics, Elsevier, vol. 142(3), pages 1209-1228.
    3. Mehmet Pasaogullari & Simeon Tsonevy, 2011. "The term structure of inflation compensation in the nominal yield curve," Working Papers (Old Series) 1133, Federal Reserve Bank of Cleveland.
    4. Victor Lapshin, 2019. "A Nonparametric Approach to Bond Portfolio Immunization," Mathematics, MDPI, vol. 7(11), pages 1-12, November.
    5. H. Bertholon & A. Monfort & F. Pegoraro, 2008. "Econometric Asset Pricing Modelling," Journal of Financial Econometrics, Oxford University Press, vol. 6(4), pages 407-458, Fall.
    6. Shaw, Charles, 2020. "Regimes, Non-Linearities, and Price Discontinuities in Indian Energy Stocks," MPRA Paper 104798, University Library of Munich, Germany.
    7. Constantino Hevia & Martín Sola & Ivan Petrella, 2022. "Bond risk premia, priced regime shifts, and macroeconomic fundamentals," Department of Economics Working Papers 2022_03, Universidad Torcuato Di Tella.
    8. Massimo Guidolin & Manuela Pedio, 2019. "Forecasting and Trading Monetary Policy Effects on the Riskless Yield Curve with Regime Switching Nelson†Siegel Models," Working Papers 639, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    9. Casper de Vries & Xuedong Wang, 2015. "Inflation, Endogenous Market Segmentation and the Term Structure of Interest Rates," Tinbergen Institute Discussion Papers 15-066/VI, Tinbergen Institute.
    10. Bulkley, George & Giordani, Paolo, 2011. "Structural breaks, parameter uncertainty, and term structure puzzles," Journal of Financial Economics, Elsevier, vol. 102(1), pages 222-232, October.
    11. Ronald H. Lange, 2013. "Monetary policy reactions and the exchange rate: a regime-switching structural VAR for Canada," International Review of Applied Economics, Taylor & Francis Journals, vol. 27(5), pages 612-632, September.
    12. Ramos, Sofia B. & Veiga, Helena, 2011. "Risk factors in oil and gas industry returns: International evidence," Energy Economics, Elsevier, vol. 33(3), pages 525-542, May.
    13. Groh, Alexander P. & Gottschalg, Oliver, 2009. "The opportunity cost of capital of US buyouts," IESE Research Papers D/780, IESE Business School.
    14. repec:hal:spmain:info:hdl:2441/5221 is not listed on IDEAS
    15. Jens Hilscher & Alon Raviv & Ricardo Reis, 2022. "Inflating Away the Public Debt? An Empirical Assessment," The Review of Financial Studies, Society for Financial Studies, vol. 35(3), pages 1553-1595.
    16. Frank Asche, Atle Oglend, and Petter Osmundsen, 2017. "Modeling UK Natural Gas Prices when Gas Prices Periodically Decouple from the Oil Price," The Energy Journal, International Association for Energy Economics, vol. 0(Number 2).
    17. Wilson, Jack W. & Jones, Charles P., 1988. "Returns On Stocks, Bonds, And Commercial Paper: Long-Term Construction, Analysis, And Comparisons," Department of Economics and Business - Archive 259430, North Carolina State University, Department of Economics.
    18. Buraschi, Andrea & Jiltsov, Alexei, 2005. "Inflation risk premia and the expectations hypothesis," Journal of Financial Economics, Elsevier, vol. 75(2), pages 429-490, February.
    19. Kaya, Huseyin, 2013. "Forecasting the yield curve and the role of macroeconomic information in Turkey," Economic Modelling, Elsevier, vol. 33(C), pages 1-7.
    20. Bank for International Settlements, 2006. "The recent behaviour of financial market volatility," BIS Papers, Bank for International Settlements, number 29.
    21. Lim, Terence & Lo, Andrew W. & Merton, Robert C. & Scholes, Myron S., 2006. "The Derivatives Sourcebook," Foundations and Trends(R) in Finance, now publishers, vol. 1(5–6), pages 365-572, April.

    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:vrs:founma:v:9:y:2017:i:1:p:99-110:n:8. 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: Peter Golla (email available below). General contact details of provider: https://www.sciendo.com .

    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.