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How to Manage Inflation Risk in an Asset Allocation Problem : an Algebric Aproximated Solution

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Author Info
Francesco MENONCIN (UNIVERSITE CATHOLIQUE DE LOUVAIN, Institut de Recherches Economiques et Sociales (IRES))

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Abstract

This paper analyses the portfolio problem of an invetsor who wants to maximize the expected utility of his terminal real wealth in an incomplete financial market. The investor must cope with a set of stochastic investment opportunities and inflation risk following a jump-diffusion process. We investigate how the inflation risk affects the optimal portfolio composition and, at this aim, we present an approximated analytical solution to the portfolio choice problem based on the Feynman-Kac representation theorem. Finally, we compare our approximate solution with some exact solutions available in the literature and we find that the main qualitative results are maintained.

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Publisher Info
Paper provided by Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES) in its series Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) with number 2001035.

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Length: 48
Date of creation: 01 Dec 2001
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Handle: RePEc:ctl:louvir:2001035

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Related research
Keywords: asset allocation; inflation risk; Feynan-kac theorem; stochastic investment opportunities;

Find related papers by JEL classification:
G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
C61 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Optimization Techniques; Programming Models; Dynamic Analysis

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  1. Wachter, Jessica A., 2002. "Portfolio and Consumption Decisions under Mean-Reverting Returns: An Exact Solution for Complete Markets," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 37(01), pages 63-91, March. [Downloadable!]
  2. John Y. Campbell, 2000. "Asset Pricing at the Millennium," Harvard Institute of Economic Research Working Papers 1897, Harvard - Institute of Economic Research. [Downloadable!]
    Other versions:
  3. Cox, John C. & Huang, Chi-fu, 1991. "A variational problem arising in financial economics," Journal of Mathematical Economics, Elsevier, vol. 20(5), pages 465-487. [Downloadable!] (restricted)
  4. John Y. Campbell & Luis M. Viceira, 1999. "Consumption And Portfolio Decisions When Expected Returns Are Time Varying," The Quarterly Journal of Economics, MIT Press, vol. 114(2), pages 433-495, May. [Downloadable!] (restricted)
    Other versions:
  5. 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. [Downloadable!] (restricted)
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  6. Merton, Robert C, 1969. "Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 247-57, August. [Downloadable!] (restricted)
  7. Blake, David, 1998. "Pension schemes as options on pension fund assets: implications for pension fund management," Insurance: Mathematics and Economics, Elsevier, vol. 23(3), pages 263-286, December. [Downloadable!] (restricted)
  8. Bellamy, Nadine, 2001. "Wealth optimization in an incomplete market driven by a jump-diffusion process," Journal of Mathematical Economics, Elsevier, vol. 35(2), pages 259-287, April. [Downloadable!] (restricted)
  9. Cox, John C & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1985. "A Theory of the Term Structure of Interest Rates," Econometrica, Econometric Society, vol. 53(2), pages 385-407, March. [Downloadable!] (restricted)
  10. George CHACKO & Luis M. VICEIRA, 1999. "Dynamic Consumption and Portfolio Choice with Stochastic Volatility in Incomplete Markets," FAME Research Paper Series rp11, International Center for Financial Asset Management and Engineering. [Downloadable!]
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  11. Kim, Tong Suk & Omberg, Edward, 1996. "Dynamic Nonmyopic Portfolio Behavior," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 9(1), pages 141-61. [Downloadable!] (restricted)
  12. 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. [Downloadable!] (restricted)
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