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Optimal portfolio‐consumption choice under stochastic inflation with nominal and indexed bonds

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  • Ying‐Yin Chou
  • Nan‐Wei Han
  • Mao‐Wei Hung

Abstract

This research solves the intertemporal portfolio choice problems with and without interim consumption under stochastic inflation. We assume a one‐factor nominal interest rate and a one‐factor expected inflation rate, implying a two‐factor real interest rate in the economy. In contrast to other related research which adopts the one‐factor real interest rate model, the inflation‐indexed bond is not a redundant asset class even in a complete market. The infinitely risk‐averse investor would prefer to invest all her wealth in inflation‐indexed bonds maturing at the investment horizon. We also show that, with the two‐factor real interest rate model, the consumption‐wealth ratio is not determined by the real interest rate alone. The investor's consumption–wealth ratio is also affected by the nominal interest rate and expected inflation rate levels. The capital market is calibrated to U.S. stocks, bonds, and inflation data. The optimal weights show that aggressive investors hold more nominal bonds in order to earn the inflation risk premiums, while conservative investors concentrate on indexed bonds to hedge against the inflation risk. Copyright © 2011 John Wiley & Sons, Ltd.

Suggested Citation

  • Ying‐Yin Chou & Nan‐Wei Han & Mao‐Wei Hung, 2011. "Optimal portfolio‐consumption choice under stochastic inflation with nominal and indexed bonds," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 27(6), pages 691-706, November.
  • Handle: RePEc:wly:apsmbi:v:27:y:2011:i:6:p:691-706
    DOI: 10.1002/asmb.886
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    References listed on IDEAS

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    Cited by:

    1. Huiling Wu, 2016. "Optimal Investment-Consumption Strategy under Inflation in a Markovian Regime-Switching Market," Discrete Dynamics in Nature and Society, Hindawi, vol. 2016, pages 1-17, July.
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    3. Li, Shaoyu & Wei, Lijia & Xu, Zhiwei, 2017. "Dynamic asset allocation and consumption under inflation inequality: The impacts of inflation experiences and expectations," Economic Modelling, Elsevier, vol. 61(C), pages 113-125.
    4. Escobar, Marcos & Ferrando, Sebastian & Rubtsov, Alexey, 2016. "Portfolio choice with stochastic interest rates and learning about stock return predictability," International Review of Economics & Finance, Elsevier, vol. 41(C), pages 347-370.

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