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Collateralized borrowing and life-cycle portfolio choice

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Author Info
Paul Willen
Felix Kubler

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Abstract

We examine the effects of collateralized borrowing in a realistically parameterized life-cycle portfolio choice problem. We provide basic intuition in a two-period model and then solve a multi-period model computationally. Our analysis provides insights into life-cycle portfolio choice relevant for researchers in macroeconomics and finance. In particular, we show that standard models with unlimited borrowing at the riskless rate dramatically overstate the gains to holding equity when compared with collateral-constrained models. Our results do not depend on the specification of the collateralized borrowing regime: The gains to trading equity remain relatively small even with the unrealistic assumption of unlimited leverage. We argue that our results strengthen the role of borrowing constraints in explaining the portfolio participation puzzle, that is, why most investors do not own stock.

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Paper provided by Federal Reserve Bank of Boston in its series Public Policy Discussion Paper with number 06-4.

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Date of creation: 2006
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Handle: RePEc:fip:fedbpp:06-4

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Keywords: Margin accounts ; Investments ; Securities;

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Steven J Davis & Felix Kubler & Paul Willen, 2006. "Borrowing Costs and the Demand for Equity over the Life Cycle," The Review of Economics and Statistics, MIT Press, vol. 88(2), pages 348-362, 06. [Downloadable!] (restricted)
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  2. Cox, John C. & Huang, Chi-fu, 1989. "Optimal consumption and portfolio policies when asset prices follow a diffusion process," Journal of Economic Theory, Elsevier, vol. 49(1), pages 33-83, October. [Downloadable!] (restricted)
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  4. Nicole El Karoui & Monique Jeanblanc-Picqué, 1998. "Optimization of consumption with labor income," Finance and Stochastics, Springer, vol. 2(4), pages 409-440. [Downloadable!] (restricted)
  5. Poterba, J.M. & Samwick, A.A., 1996. "Stock Ownership Patterns, Stock Market Fluctuations, and Consumption," Working papers 96-2, Massachusetts Institute of Technology (MIT), Department of Economics.
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  6. Sanford J. Grossman & Jean-Juc Vila, . "Optimal Dynamic Trading with Leverage Constraints," Rodney L. White Center for Financial Research Working Papers 36-89, Wharton School Rodney L. White Center for Financial Research.
  7. Jérôme Detemple & Angel Serrat, 2003. "Dynamic Equilibrium with Liquidity Constraints," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 16(2), pages 597-629. [Downloadable!] (restricted)
  8. Francisco Gomes & Alexander Michaelides, 2005. "Optimal Life-Cycle Asset Allocation: Understanding the Empirical Evidence," Journal of Finance, American Finance Association, vol. 60(2), pages 869-904, 04. [Downloadable!] (restricted)
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  9. Annette Vissing-Jorgensen, 2002. "Towards an Explanation of Household Portfolio Choice Heterogeneity: Nonfinancial Income and Participation Cost Structures," NBER Working Papers 8884, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  10. Rui Yao, 2005. "Optimal Consumption and Portfolio Choices with Risky Housing and Borrowing Constraints," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 18(1), pages 197-239. [Downloadable!] (restricted)
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  16. Hua He and Neil D. Pearson., 1989. "Consumption and Portfolio Policies with Incomplete Markets and Short-Sale Constraints: The Infinite Dimensional Case," Research Program in Finance Working Papers RPF-191, University of California at Berkeley.
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  17. Samuelson, Paul A, 1969. "Lifetime Portfolio Selection by Dynamic Stochastic Programming," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 239-46, August. [Downloadable!] (restricted)
  18. Tauchen, George & Hussey, Robert, 1991. "Quadrature-Based Methods for Obtaining Approximate Solutions to Nonlinear Asset Pricing Models," Econometrica, Econometric Society, vol. 59(2), pages 371-96, March. [Downloadable!] (restricted)
  19. Heaton, John & Lucas, Deborah, 1997. "Market Frictions, Savings Behavior, And Portfolio Choice," Macroeconomic Dynamics, Cambridge University Press, vol. 1(01), pages 76-101, January. [Downloadable!]
  20. Cuoco, Domenico, 1997. "Optimal Consumption and Equilibrium Prices with Portfolio Constraints and Stochastic Income," Journal of Economic Theory, Elsevier, vol. 72(1), pages 33-73, January. [Downloadable!] (restricted)
  21. Deaton, Angus, 1991. "Saving and Liquidity Constraints," Econometrica, Econometric Society, vol. 59(5), pages 1221-48, September. [Downloadable!] (restricted)
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  22. John H. Cochrane & Lars Peter Hansen, 1992. "Asset Pricing Explorations for Macroeconomics," NBER Chapters, in: NBER Macroeconomics Annual 1992, Volume 7, pages 115-182 National Bureau of Economic Research, Inc. [Downloadable!]
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  23. Pierre-Olivier Gourinchas & Jonathan A. Parker, 2002. "Consumption Over the Life Cycle," Econometrica, Econometric Society, vol. 70(1), pages 47-89, January. [Downloadable!] (restricted)
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  24. Vila, Jean-Luc & Zariphopoulou, Thaleia, 1997. "Optimal Consumption and Portfolio Choice with Borrowing Constraints," Journal of Economic Theory, Elsevier, vol. 77(2), pages 402-431, December. [Downloadable!] (restricted)
  25. Grossman, Sanford J. & Vila, Jean-Luc, 1992. "Optimal Dynamic Trading with Leverage Constraints," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 27(02), pages 151-168, June. [Downloadable!]
  26. 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)
  27. He, Hua & Pearson, Neil D., 1991. "Consumption and portfolio policies with incomplete markets and short-sale constraints: The infinite dimensional case," Journal of Economic Theory, Elsevier, vol. 54(2), pages 259-304, August. [Downloadable!] (restricted)
  28. Peter Fortune, 2003. "Margin requirements across equity-related instruments: how level is the playing field?," New England Economic Review, Federal Reserve Bank of Boston, pages 31-50. [Downloadable!]
  29. Xavier Gabaix & Arvind Krishnamurthy & Olivier Vigneron, 2007. "Limits of Arbitrage: Theory and Evidence from the Mortgage-Backed Securities Market," Journal of Finance, American Finance Association, vol. 62(2), pages 557-595, 04. [Downloadable!] (restricted)
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Full references

Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Raffaele Miniaci & Sergio Pastorello, 2008. "Mean-Variance Econometric Analysis of Household Portfolios," Working Papers 0807, University of Brescia, Department of Economics. [Downloadable!]
  2. Henrekson, Magnus & Sanandaji, Tino, 2008. "Entrepreneurship and the Theory of Taxation," Working Paper Series 732, Research Institute of Industrial Economics, revised 19 Aug 2009. [Downloadable!]
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