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Optimal Consumption and Portfolio Rules with Durability and Local Substitution

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  • Hindy, Ayman
  • Huang, Chi-fu
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    Abstract

    A model of optimal consumption and portfolio choice that captures the notions of local substitution and irreversible purchases of durable goods is studied. Necessary and sufficient conditions for a consumption and portfolio policy to be optimal are provided. A closed-form solution of the optimal consumption and portfolio policy is given. The optimal consumption policy consists of a possible initial "gulp" of consumption, or a period of no consumption, followed.by a process of accumulated consumption with singular sample paths. The equilibrium risk premium in a representative investor economy with a single physical production technology is computed. Copyright 1993 by The Econometric Society.

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    Bibliographic Info

    Article provided by Econometric Society in its journal Econometrica.

    Volume (Year): 61 (1993)
    Issue (Month): 1 (January)
    Pages: 85-121

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    Handle: RePEc:ecm:emetrp:v:61:y:1993:i:1:p:85-121

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    Cited by:
    1. Yeung Lewis Chan & Leonid Kogan, 2001. "Catching Up with the Joneses: Heterogeneous Preferences and the Dynamics of Asset Prices," NBER Working Papers 8607, National Bureau of Economic Research, Inc.
    2. Yang, Yunhong, 2000. "Existence of optimal consumption and portfolio rules with portfolio constraints and stochastic income, durability and habit formation," Journal of Mathematical Economics, Elsevier, vol. 33(2), pages 135-153, March.
    3. Paul Ehling, 2004. "Consumption, Portfolio Policies and Dynamic Equilibrium in the Presence of Preference for Ownership," Econometric Society 2004 North American Winter Meetings 311, Econometric Society.
    4. Martins-da-Rocha, Victor Filipe & Riedel, Frank, 2008. "On Equilibrium Prices in Continuous Time," Economics Working Papers (Ensaios Economicos da EPGE) 672, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
    5. José Penalva, 2000. "Full insurance, asymmetric information and genetic testing," Economics Working Papers 461, Department of Economics and Business, Universitat Pompeu Fabra.
    6. Hindy, Ayman & Huang, Chi-fu & Zhu, Steven H., 1997. "Optimal consumption and portfolio rules with durability and habit formation," Journal of Economic Dynamics and Control, Elsevier, vol. 21(2-3), pages 525-550.
    7. Peter Bank & Frank Riedel, 2003. "Optimal Dynamic Choice of Durable and Perishable Goods," Bonn Econ Discussion Papers bgse29_2003, University of Bonn, Germany.
    8. Gomes, Francisco J & Michaelides, Alexander, 2003. "Portfolio Choice with Internal Habit Formation: A Life-Cycle Model with Uninsurable Labour Income Risk," CEPR Discussion Papers 3868, C.E.P.R. Discussion Papers.
    9. Yeung Lewis Chan & Leonid Kogan, . "Catching Up with the Joneses: Heterogeneous Preferences and the Dynamics of Asset Prices," Rodney L. White Center for Financial Research Working Papers 14-00, Wharton School Rodney L. White Center for Financial Research.
    10. Domenico Cuoco & Hong Liu, . "Optimal Consumption of a Divisible Durable Good," Rodney L. White Center for Financial Research Working Papers 20-98, Wharton School Rodney L. White Center for Financial Research.
    11. Jérôme B. Detemple & Christos I. Giannikos, 1995. "Asset and Commodity Prices with Multiattribute Durable Goods," CIRANO Working Papers 95s-47, CIRANO.
    12. Nikolaj Malchow-Moeller & Bo Jellesmark Thorsen, . "Investment under Uncertainty - the Case of Repeated Investment Options," Economics Working Papers 2000-15, School of Economics and Management, University of Aarhus.
    13. Damgaard, Anders & Fuglsbjerg, Brian & Munk, Claus, 2003. "Optimal consumption and investment strategies with a perishable and an indivisible durable consumption good," Journal of Economic Dynamics and Control, Elsevier, vol. 28(2), pages 209-253, November.
    14. Aase, Knut K., 2000. "An equilibrium asset pricing model based on Lévy processes: relations to stochastic volatility, and the survival hypothesis," Insurance: Mathematics and Economics, Elsevier, vol. 27(3), pages 345-363, December.
    15. Jin, Xing & Deng, Shuhui, 1997. "Existence and uniqueness of optimal consumption and portfolio rules in a continuous-time finance model with habit formation and without short sales," Journal of Mathematical Economics, Elsevier, vol. 28(2), pages 187-205, September.
    16. Hindy, Ayman & Huang, Chi-fu & Zhu, Steven H., 1997. "Numerical analysis of a free-boundary singular control problem in financial economics," Journal of Economic Dynamics and Control, Elsevier, vol. 21(2-3), pages 297-327.

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