IDEAS home Printed from https://ideas.repec.org/p/hal/journl/hal-03679700.html
   My bibliography  Save this paper

Long-term investment with stochastic interest and inflation rates: The need for inflation-indexed bonds

Author

Listed:
  • Farid Mkaouar
  • Jean-Luc Prigent

    (THEMA - Théorie économique, modélisation et applications - CNRS - Centre National de la Recherche Scientifique - CY - CY Cergy Paris Université)

  • Ilyes Abid

    (autre - AUTRES)

Abstract

We examine the long term investment problem, under stochastic interest and inflation rates and within financial market incompleteness. Four basic financial assets are available on the financial market: a money market account (the cash), a real consumption good, a financial stock index and a bond with constant maturity. In this incomplete framework, we provide the general solution of the expected utility maximization. We compute the monetary loss from not having access to an inflation-indexed bond, in order to be hedged against the inflation risk. We show that this latter one usually reaches high levels (more than 1% per year). Thus, the magnitude of such costs reaches those of management fees or transaction costs. They highlight the significant value of introducing inflation-indexed bonds in the financial markets.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Farid Mkaouar & Jean-Luc Prigent & Ilyes Abid, 2017. "Long-term investment with stochastic interest and inflation rates: The need for inflation-indexed bonds," Post-Print hal-03679700, HAL.
    • Handle: RePEc:hal:journl:hal-03679700
    DOI: 10.1016/j.econmod.2016.12.017
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Hoang, Thi Hong Van & Lahiani, Amine & Heller, David, 2016. "Is gold a hedge against inflation? New evidence from a nonlinear ARDL approach," Economic Modelling, Elsevier, vol. 54(C), pages 54-66.
    2. Darrell Duffie & Chi-Fu Huang, 2005. "Implementing Arrow-Debreu Equilibria By Continuous Trading Of Few Long-Lived Securities," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 4, pages 97-127, World Scientific Publishing Co. Pte. Ltd..
    3. Jérôme B. Detemple & Ren Garcia & Marcel Rindisbacher, 2003. "A Monte Carlo Method for Optimal Portfolios," Journal of Finance, American Finance Association, vol. 58(1), pages 401-446, February.
    4. Isabelle Bajeux-Besnainou & James V. Jordan & Roland Portait, 2001. "An Asset Allocation Puzzle: Comment," American Economic Review, American Economic Association, vol. 91(4), pages 1170-1179, September.
    5. Chesang, Laban K. & Naraidoo, Ruthira, 2016. "Parameter uncertainty and inflation dynamics in a model with asymmetric central bank preferences," Economic Modelling, Elsevier, vol. 56(C), pages 1-10.
    6. Cartea, Álvaro & Saúl, Jonatan & Toro, Juan, 2012. "Optimal portfolio choice in real terms: Measuring the benefits of TIPS," Journal of Empirical Finance, Elsevier, vol. 19(5), pages 721-740.
    7. Ameur, H. Ben & Prigent, J.L., 2013. "Optimal portfolio positioning under ambiguity," Economic Modelling, Elsevier, vol. 34(C), pages 89-97.
    8. Canner, Niko & Mankiw, N Gregory & Weil, David N, 1997. "An Asset Allocation Puzzle," American Economic Review, American Economic Association, vol. 87(1), pages 181-191, March.
    9. Marie Briere & Ombretta Signori, 2012. "Inflation-hedging portfolios: Economic regimes matter," ULB Institutional Repository 2013/253373, ULB -- Universite Libre de Bruxelles.
    10. Carl Chiarella & Chih-Ying Hsiao & Willi Semmler, 2007. "Intertemporal Investment Strategies Under Inflation Risk," Research Paper Series 192, Quantitative Finance Research Centre, University of Technology, Sydney.
    11. Nicole El Karoui & Monique Jeanblanc-Picqué, 1998. "Optimization of consumption with labor income," Finance and Stochastics, Springer, vol. 2(4), pages 409-440.
    12. Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December.
    13. Hunter, Delroy M. & Simon, David P., 2005. "Are TIPS the "real" deal?: A conditional assessment of their role in a nominal portfolio," Journal of Banking & Finance, Elsevier, vol. 29(2), pages 347-368, February.
    14. Lioui, Abraham & Poncet, Patrice, 2001. "On optimal portfolio choice under stochastic interest rates," Journal of Economic Dynamics and Control, Elsevier, vol. 25(11), pages 1841-1865, November.
    15. André Palma & Jean-Luc Prigent, 2009. "Standardized versus customized portfolio: a compensating variation approach," Annals of Operations Research, Springer, vol. 165(1), pages 161-185, January.
    16. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
    17. Pennacchi, George G, 1991. "Identifying the Dynamics of Real Interest Rates and Inflation: Evidence Using Survey Data," The Review of Financial Studies, Society for Financial Studies, vol. 4(1), pages 53-86.
    18. Vasicek, Oldrich Alfonso, 1977. "Abstract: An Equilibrium Characterization of the Term Structure," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(4), pages 627-627, November.
    19. Paul A. Samuelson, 2011. "Lifetime Portfolio Selection by Dynamic Stochastic Programming," World Scientific Book Chapters, in: Leonard C MacLean & Edward O Thorp & William T Ziemba (ed.), THE KELLY CAPITAL GROWTH INVESTMENT CRITERION THEORY and PRACTICE, chapter 31, pages 465-472, World Scientific Publishing Co. Pte. Ltd..
    20. Michael J. Brennan & Yihong Xia, 2000. "Stochastic Interest Rates and the Bond-Stock Mix," Review of Finance, European Finance Association, vol. 4(2), pages 197-210.
    21. repec:dau:papers:123456789/9296 is not listed on IDEAS
    22. Campbell, John Y. & Viceira, Luis M., 2002. "Strategic Asset Allocation: Portfolio Choice for Long-Term Investors," OUP Catalogue, Oxford University Press, number 9780198296942.
    23. de Palma, André & Prigent, Jean-Luc, 2008. "Utilitarianism and fairness in portfolio positioning," Journal of Banking & Finance, Elsevier, vol. 32(8), pages 1648-1660, August.
    24. Marie Brière & Ombretta Signori, 2009. "Do Inflation‐Linked Bonds Still Diversify?," European Financial Management, European Financial Management Association, vol. 15(2), pages 279-297, March.
    25. repec:dau:papers:123456789/7741 is not listed on IDEAS
    26. Cass, David & Stiglitz, Joseph E., 1970. "The structure of investor preferences and asset returns, and separability in portfolio allocation: A contribution to the pure theory of mutual funds," Journal of Economic Theory, Elsevier, vol. 2(2), pages 122-160, June.
    27. Darrell Duffie & Rui Kan, 1996. "A Yield‐Factor Model Of Interest Rates," Mathematical Finance, Wiley Blackwell, vol. 6(4), pages 379-406, October.
    28. Cvitanic, Jaksa & Goukasian, Levon & Zapatero, Fernando, 2003. "Monte Carlo computation of optimal portfolios in complete markets," Journal of Economic Dynamics and Control, Elsevier, vol. 27(6), pages 971-986, April.
    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. Spyros Papathanasiou & Dimitris Kenourgios & Drosos Koutsokostas & Georgios Pergeris, 2023. "Can treasury inflation-protected securities safeguard investors from outward risk spillovers? A portfolio hedging strategy through the prism of COVID-19," Journal of Asset Management, Palgrave Macmillan, vol. 24(3), pages 198-211, May.

    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. Farid Mkaouar & Jean-Luc Prigent & Ilyes Abid, 2019. "A Diffusion Model for Long-Term Optimization in the Presence of Stochastic Interest and Inflation Rates," Computational Economics, Springer;Society for Computational Economics, vol. 54(1), pages 367-417, June.
    2. Farid Mkouar & Jean-Luc Prigent, 2014. "Long-Term Investment with Stochastic Interest and Inflation Rates Incompleteness and Compensating Variation," Working Papers 2014-301, Department of Research, Ipag Business School.
    3. André Palma & Jean-Luc Prigent, 2009. "Standardized versus customized portfolio: a compensating variation approach," Annals of Operations Research, Springer, vol. 165(1), pages 161-185, January.
    4. Charles-Olivier Amédée-Manesme & Fabrice Barthélémy & Philippe Bertrand & Jean-Luc Prigent, 2019. "Mixed-asset portfolio allocation under mean-reverting asset returns," Annals of Operations Research, Springer, vol. 281(1), pages 65-98, October.
    5. André de Palma & Nathalie Picard & Jean-Luc Prigent, 2009. "Prise en compte de l'attitude face au risque dans le cadre de la directive MiFID," Working Papers hal-00418892, HAL.
    6. Brennan, Michael J. & Xia, Yihong, 2000. "Dynamic Asset Allocation under Inflation," University of California at Los Angeles, Anderson Graduate School of Management qt8p95456t, Anderson Graduate School of Management, UCLA.
    7. Larsen, Linda Sandris & Munk, Claus, 2012. "The costs of suboptimal dynamic asset allocation: General results and applications to interest rate risk, stock volatility risk, and growth/value tilts," Journal of Economic Dynamics and Control, Elsevier, vol. 36(2), pages 266-293.
    8. Gerrard, Russell & Kyriakou, Ioannis & Nielsen, Jens Perch & Vodička, Peter, 2023. "On optimal constrained investment strategies for long-term savers in stochastic environments and probability hedging," European Journal of Operational Research, Elsevier, vol. 307(2), pages 948-962.
    9. Lin, Wen-chang & Lu, Jin-ray, 2012. "Risky asset allocation and consumption rule in the presence of background risk and insurance markets," Insurance: Mathematics and Economics, Elsevier, vol. 50(1), pages 150-158.
    10. Duffie, Darrell, 2003. "Intertemporal asset pricing theory," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, edition 1, volume 1, chapter 11, pages 639-742, Elsevier.
    11. Lioui, Abraham & Tarelli, Andrea, 2019. "Macroeconomic environment, money demand and portfolio choice," European Journal of Operational Research, Elsevier, vol. 274(1), pages 357-374.
    12. Björn Bick & Holger Kraft & Claus Munk, 2013. "Solving Constrained Consumption-Investment Problems by Simulation of Artificial Market Strategies," Management Science, INFORMS, vol. 59(2), pages 485-503, June.
    13. Boyle, Phelim & Imai, Junichi & Tan, Ken Seng, 2008. "Computation of optimal portfolios using simulation-based dimension reduction," Insurance: Mathematics and Economics, Elsevier, vol. 43(3), pages 327-338, December.
    14. LuisM. Viceira & John Y. Campbell, 2001. "Who Should Buy Long-Term Bonds?," American Economic Review, American Economic Association, vol. 91(1), pages 99-127, March.
    15. Munk, Claus & Sorensen, Carsten & Nygaard Vinther, Tina, 2004. "Dynamic asset allocation under mean-reverting returns, stochastic interest rates, and inflation uncertainty: Are popular recommendations consistent with rational behavior?," International Review of Economics & Finance, Elsevier, vol. 13(2), pages 141-166.
    16. Lioui, Abraham & Poncet, Patrice, 2004. "General equilibrium real and nominal interest rates," Journal of Banking & Finance, Elsevier, vol. 28(7), pages 1569-1595, July.
    17. Li, Kai, 2019. "Portfolio selection with inflation-linked bonds and indexation lags," Journal of Economic Dynamics and Control, Elsevier, vol. 107(C), pages 1-1.
    18. Ahmad Telfah, "undated". "" Do Financial Planners Take Financial Crashes In Their Advice: Dynamic Asset Allocation Under Thick Tails And Fast Volatility Updating," API-Working Paper Series 0604, Arab Planning Institute - Kuwait, Information Center.
    19. Lioui, Abraham, 2007. "The asset allocation puzzle is still a puzzle," Journal of Economic Dynamics and Control, Elsevier, vol. 31(4), pages 1185-1216, April.
    20. Isabelle Bajeux-Besnainou & James V. Jordan & Roland Portait, 2001. "An Asset Allocation Puzzle: Comment," American Economic Review, American Economic Association, vol. 91(4), pages 1170-1179, September.

    More about this item

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

    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:hal:journl:hal-03679700. 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: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    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.