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Optimal Housing, Consumption, and Investment Decisions over the Life Cycle

Author

Listed:
  • Holger Kraft

    () (Department of Finance, Goethe University Frankfurt am Main, 60323 Frankfurt am Main, Germany)

  • Claus Munk

    () (School of Economics and Management and Department of Mathematical Sciences, Aarhus University, Aarhus DK-8000, Denmark)

Abstract

We derive explicit solutions to life-cycle utility maximization problems involving stock and bond investment, perishable consumption, and the rental and ownership of residential real estate. Prices of houses, stocks and bonds, and labor income are correlated. Because of a positive correlation between house prices and labor income, young individuals want little exposure to house price risk and tend to rent their home. Later in life the desired housing investment increases and will eventually reach and exceed the desired consumption, suggesting that the individual should buy his home--and either additional housing units (for renting out) or house price-linked financial assets. In the final years, preferences shift back to home rental. The derived strategies are still useful if housing positions are only reset infrequently. Our results suggest that markets for real estate investment trusts or other house price-linked contracts lead to nonnegligible welfare gains. This paper was accepted by Wei Xiong, finance.

Suggested Citation

  • Holger Kraft & Claus Munk, 2011. "Optimal Housing, Consumption, and Investment Decisions over the Life Cycle," Management Science, INFORMS, vol. 57(6), pages 1025-1041, June.
  • Handle: RePEc:inm:ormnsc:v:57:y:2011:i:6:p:1025-1041
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    File URL: http://dx.doi.org/10.1287/mnsc.1110.1336
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    References listed on IDEAS

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    1. John Y. Campbell & João F. Cocco, 2003. "Household Risk Management and Optimal Mortgage Choice," The Quarterly Journal of Economics, Oxford University Press, pages 1449-1494.
    2. Grossman, Sanford J & Laroque, Guy, 1990. "Asset Pricing and Optimal Portfolio Choice in the Presence of Illiquid Durable Consumption Goods," Econometrica, Econometric Society, vol. 58(1), pages 25-51, January.
    3. John Cotter & Richard Roll, 2010. "A Comparative Anatomy of REITs and Residential Real Estate Indexes: Returns, Risks and Distributional Characteristics," Working Papers 201008, Geary Institute, University College Dublin.
    4. Martin Browning & Thomas F. Crossley, 2001. "The Life-Cycle Model of Consumption and Saving," Journal of Economic Perspectives, American Economic Association, pages 3-22.
    5. Todd Sinai & Nicholas S. Souleles, 2005. "Owner-Occupied Housing as a Hedge Against Rent Risk," The Quarterly Journal of Economics, Oxford University Press, pages 763-789.
    6. Lars Nielsen & Maria Vassalou, 2006. "The instantaneous capital market line," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 28(3), pages 651-664, August.
    7. Pierre-Olivier Gourinchas & Jonathan A. Parker, 2002. "Consumption Over the Life Cycle," Econometrica, Econometric Society, vol. 70(1), pages 47-89, January.
    8. Joao F. Cocco, 2005. "Portfolio Choice in the Presence of Housing," Review of Financial Studies, Society for Financial Studies, vol. 18(2), pages 535-567.
    9. Bodie, Zvi & Merton, Robert C. & Samuelson, William F., 1992. "Labor supply flexibility and portfolio choice in a life cycle model," Journal of Economic Dynamics and Control, Elsevier, vol. 16(3-4), pages 427-449.
    10. Thomas Davidoff & Jeffrey R. Brown & Peter A. Diamond, 2005. "Annuities and Individual Welfare," American Economic Review, American Economic Association, vol. 95(5), pages 1573-1590, December.
    11. 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.
    12. Eugene F. Fama & Kenneth R. French, 2002. "The Equity Premium," Journal of Finance, American Finance Association, vol. 57(2), pages 637-659, April.
    13. Kraft, Holger & Steffensen, Mogens, 2008. "Optimal Consumption and Insurance: A Continuous-time Markov Chain Approach," ASTIN Bulletin: The Journal of the International Actuarial Association, Cambridge University Press, vol. 38(01), pages 231-257, May.
    14. Thurow, Lester C, 1969. "The Optimum Lifetime Distribution of Consumption Expenditures," American Economic Review, American Economic Association, vol. 59(3), pages 324-330, June.
    15. Munk, Claus & Sørensen, Carsten, 2010. "Dynamic asset allocation with stochastic income and interest rates," Journal of Financial Economics, Elsevier, vol. 96(3), pages 433-462, June.
    16. Luis M. Viceira, 2001. "Optimal Portfolio Choice for Long-Horizon Investors with Nontradable Labor Income," Journal of Finance, American Finance Association, vol. 56(2), pages 433-470, April.
    17. Otto Van Hemert, 2010. "Household Interest Rate Risk Management," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 38(3), pages 467-505.
    18. Gary Hansen & Selahattin Imrohoroglu, 2008. "Consumption over the Life Cycle: The Role of Annuities," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 11(3), pages 566-583, July.
    19. Bullard, James & Feigenbaum, James, 2007. "A leisurely reading of the life-cycle consumption data," Journal of Monetary Economics, Elsevier, vol. 54(8), pages 2305-2320, November.
    20. Joao F. Cocco, 2005. "Consumption and Portfolio Choice over the Life Cycle," Review of Financial Studies, Society for Financial Studies, vol. 18(2), pages 491-533.
    21. Marjorie Flavin & Takashi Yamashita, 2002. "Owner-Occupied Housing and the Composition of the Household Portfolio," American Economic Review, American Economic Association, vol. 92(1), pages 345-362, March.
    22. Jun Liu, 2007. "Portfolio Selection in Stochastic Environments," Review of Financial Studies, Society for Financial Studies, vol. 20(1), pages 1-39, January.
    23. Rui Yao, 2005. "Optimal Consumption and Portfolio Choices with Risky Housing and Borrowing Constraints," Review of Financial Studies, Society for Financial Studies, vol. 18(1), pages 197-239.
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    Citations

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    Cited by:

    1. Maj-Britt Nordfang & Mogens Steffensen, 2017. "Portfolio Optimization and Mortgage Choice," Journal of Risk and Financial Management, MDPI, Open Access Journal, vol. 10(1), pages 1-21, January.
    2. Torben Andersen & Mikkel Hermansen, 2014. "Durable consumption, saving and retirement," Journal of Population Economics, Springer;European Society for Population Economics, vol. 27(3), pages 825-840, July.
    3. Marekwica, Marcel & Schaefer, Alexander & Sebastian, Steffen, 2013. "Life cycle asset allocation in the presence of housing and tax-deferred investing," Journal of Economic Dynamics and Control, Elsevier, vol. 37(6), pages 1110-1125.
    4. Lerbs, Oliver & Hiller, Norbert, 2015. "Aging and Urban House Prices," Annual Conference 2015 (Muenster): Economic Development - Theory and Policy 113136, Verein für Socialpolitik / German Economic Association.
    5. Marianna Brunetti & Elena Giarda & Costanza Torricelli, 2012. "Is financial fragility a matter of illiquidity? An appraisal for Italian households," Centro Studi di Banca e Finanza (CEFIN) (Center for Studies in Banking and Finance) 12061, Universita di Modena e Reggio Emilia, Dipartimento di Economia "Marco Biagi".
    6. Raimond Maurer & Olivia S. Mitchell & Ralph Rogalla & Tatjana Schimetschek, 2014. "Will They Take the Money and Work? An Empirical Analysis of People's Willingness to Delay Claiming Social Security Benefits for a Lump Sum," NBER Working Papers 20614, National Bureau of Economic Research, Inc.
    7. Björn Bick & Holger Kraft & Claus Munk, 2013. "Solving Constrained Consumption-Investment Problems by Simulation of Artificial Market Strategies," Management Science, INFORMS, pages 485-503.
    8. Fischer, Marcel & Kraft, Holger & Munk, Claus, 2013. "Asset allocation over the life cycle: How much do taxes matter?," Journal of Economic Dynamics and Control, Elsevier, vol. 37(11), pages 2217-2240.
    9. Hiller, Norbert & Lerbs, Oliver W., 2016. "Aging and urban house prices," Regional Science and Urban Economics, Elsevier, vol. 60(C), pages 276-291.
    10. Branger, Nicole & Hansis, Alexandra, 2015. "Earning the right premium on the right factor in portfolio planning," Journal of Banking & Finance, Elsevier, vol. 59(C), pages 367-383.
    11. Marekwica, Marcel & Stamos, Michael Z., 2010. "Optimal life cycle portfolio choice with housing market cycles," CFS Working Paper Series 2010/21, Center for Financial Studies (CFS).
    12. Sheng Guo & William Hardin, 2014. "Wealth, Composition, Housing, Income and Consumption," The Journal of Real Estate Finance and Economics, Springer, vol. 48(2), pages 221-243, February.
    13. Chen, An & Vellekoop, Michel, 2017. "Optimal investment and consumption when allowing terminal debt," European Journal of Operational Research, Elsevier, vol. 258(1), pages 385-397.
    14. Zeng, Yan & Wu, Huiling & Lai, Yongzeng, 2013. "Optimal investment and consumption strategies with state-dependent utility functions and uncertain time-horizon," Economic Modelling, Elsevier, vol. 33(C), pages 462-470.

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