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A Monte Carlo Method for Optimal Portfolios

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Author Info
Jérôme B. Detemple (Boston University, School of Management and CIRANO,)
René Garcia (Université de Montréal, Department of Economics and CIRANO,)
Marcel Rindisbacher (University of Toronto, Rotman School of Management and CIRANO)

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Abstract

This paper proposes a new simulation-based approach for optimal portfolio allocation in realistic environments with complex dynamics for the state variables and large numbers of factors and assets. A first illustration involves a choice between equity and cash with nonlinear interest rate and market price of risk dynamics. Intertemporal hedging demands significantly increase the demand for stocks and exhibit low volatility. We then analyze settings where stock returns are also predicted by dividend yields and where investors have wealth-dependent relative risk aversion. Large-scale problems with many assets, including the Nasdaq, SP500, bonds, and cash, are also examined. Copyright 2003 by the American Finance Association.

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Publisher Info
Article provided by American Finance Association in its journal The Journal of Finance.

Volume (Year): 58 (2003)
Issue (Month): 1 (02)
Pages: 401-446
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Handle: RePEc:bla:jfinan:v:58:y:2003:i:1:p:401-446

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  1. Michael W. Brandt & Amit Goyal & Pedro Santa-Clara & Jonathan Storud, 2004. "A Simulation Approach to Dynamic Portfolio Choice with an Application to Learning About Return Predictability," NBER Working Papers 10934, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  2. Massimo Guidolin & Stuart Hyde, 2008. "Equity portfolio diversification under time-varying predictability and comovements: evidence from Ireland, the US, and the UK," Working Papers 2008-005, Federal Reserve Bank of St. Louis. [Downloadable!]
  3. Yacine Aït-Sahalia & Michael W. Brandt, 2008. "Consumption and Portfolio Choice with Option-Implied State Prices," NBER Working Papers 13854, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  4. Lorenzo Garlappi & Georgios Skoulakis, 2009. "Numerical Solutions to Dynamic Portfolio Problems: The Case for Value Function Iteration using Taylor Approximation," Computational Economics, Springer, vol. 33(2), pages 193-207, March. [Downloadable!] (restricted)
  5. Basak, Suleyman & Chabakauri, Georgy, 2009. "Dynamic Mean-Variance Asset Allocation," CEPR Discussion Papers 7256, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
  6. Dumas, Bernard J & Kurshev, Alexander & Uppal, Raman, 2007. "Equilibrium Portfolio Strategies in the Presence of Sentiment Risk and Excess Volatility," CEPR Discussion Papers 6455, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
  7. Adrien Verdelhan, 2005. "A Habit-Based Explanation of the Exchange Rate Risk Premium," Boston University - Department of Economics - Working Papers Series WP2005-032, Boston University - Department of Economics. [Downloadable!]
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  8. Bernard Dumas & Alexander Kurshev & Raman Uppal, 2007. "Equilibrium Portfolio Strategies in the Presence of Sentiment Risk and Excess Volatility," NBER Working Papers 13401, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  9. Massimo Guidolin & Allan Timmerman, 2006. "Asset allocation under multivariate regime switching," Working Papers 2005-002, Federal Reserve Bank of St. Louis. [Downloadable!]
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  10. Massimo Guidolin & Allan Timmerman, 2006. "International asset allocation under regime switching, skew and kurtosis preferences," Working Papers 2005-034, Federal Reserve Bank of St. Louis. [Downloadable!]
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  11. Doriana Ruffino & Jonathan Treussard, 2006. "Optimal Age-Based Portfolios with Stochastic Investment Opportunity Sets," Boston University - Department of Economics - Working Papers Series WP2006-041, Boston University - Department of Economics. [Downloadable!]
  12. Francesco Menoncin, . "Risk management for an internationally diversified portfolio," Working Papers ubs0404, University of Brescia, Department of Economics. [Downloadable!]
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  13. Fabio Trojani & Roberto G. Ferretti, 2005. "General Analytical Solutions For Mertons'S-Type Consumption-Investment Problems," University of St. Gallen Department of Economics working paper series 2005 2005-02, Department of Economics, University of St. Gallen. [Downloadable!]
  14. 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_v1, HAL. [Downloadable!]
  15. Asger Lunde & Allan Timmermann, 2005. "Completion time structures of stock price movements," Annals of Finance, Springer, vol. 1(3), pages 293-326, 08. [Downloadable!] (restricted)
  16. Zvi Bodie & Jonathan Treussard & Paul Willen, 2007. "The theory of life-cycle saving and investing," Public Policy Discussion Paper 07-3, Federal Reserve Bank of Boston. [Downloadable!]
  17. Ferstl, Robert & Weissensteiner, Alex, 2009. "Asset-Liability Management under time-varying Investment Opportunities," MPRA Paper 15068, University Library of Munich, Germany, revised 25 May 2009. [Downloadable!]
  18. Alois Geyer & Michael Hanke & Alex Weissensteiner, 2009. "A stochastic programming approach for multi-period portfolio optimization," Computational Management Science, Springer, vol. 6(2), pages 187-208, May. [Downloadable!] (restricted)
  19. Doriana Ruffino, 2007. "Resuscitating The Businessman Risk: A Rationale For Familiarity-Based Portfolios," Boston University - Department of Economics - Working Papers Series WP2007-037, Boston University - Department of Economics. [Downloadable!]
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