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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
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    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

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