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Investment under Uncertainty - the Case of Repeated Investment Options


  • Nikolaj Malchow-Moeller
  • Bo Jellesmark Thorsen

    () (Department of Economics, University of Aarhus, Denmark)


This paper considers optimal investment behaviour when investment options evolve deterministically or stochastically over time and investments are irreversible and indivisible. It extends the standard investment-under-uncertainty set-up with a single investment option to the case of repeated options. Analytical solutions are derived for the deterministic case and for the case of a geometric Brownian motion. It is argued that when investment options are repeated, the simple net-present-value rule in general fares better as an investment criterion than the rule derived from the single-option approach. Furthermore, sensitivity analyses reveal that the effects of parameter changes are very different when using the repeated-options approach instead of the single-option approach.

Suggested Citation

  • Nikolaj Malchow-Moeller & Bo Jellesmark Thorsen, "undated". "Investment under Uncertainty - the Case of Repeated Investment Options," Economics Working Papers 2000-15, Department of Economics and Business Economics, Aarhus University.
  • Handle: RePEc:aah:aarhec:2000-15

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    References listed on IDEAS

    1. Cuoco, Domenico & Liu, Hong, 2000. "Optimal consumption of a divisible durable good," Journal of Economic Dynamics and Control, Elsevier, vol. 24(4), pages 561-613, April.
    2. Effrosyni Diamantoudi & Licun Xue, 2003. "Farsighted stability in hedonic games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 21(1), pages 39-61, August.
    3. Elliott, Graham & Jansson, Michael, 2003. "Testing for unit roots with stationary covariates," Journal of Econometrics, Elsevier, vol. 115(1), pages 75-89, July.
    4. Nikolaj Malchow-Moeller & Bo Jellesmark Thorsen, "undated". "A Dynamic Agricultural Household Model with Uncertain Income and Irreversible and Indivisible Investments under Credit Constraints," Economics Working Papers 2000-7, Department of Economics and Business Economics, Aarhus University.
    5. Hindy, Ayman & Huang, Chi-fu, 1993. "Optimal Consumption and Portfolio Rules with Durability and Local Substitution," Econometrica, Econometric Society, vol. 61(1), pages 85-121, January.
    6. Jamsheed Shorish, "undated". "Quasi-Static Macroeconomic Systems," Economics Working Papers 2000-3, Department of Economics and Business Economics, Aarhus University.
    7. Niels Haldrup & Peter Lildholdt, 2005. "Local power functions of tests for double unit roots," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 59(2), pages 159-179.
    8. Rosholm, Michael & Svarer, Michael, 2001. "Structurally dependent competing risks," Economics Letters, Elsevier, vol. 73(2), pages 169-173, November.
    9. 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.
    10. Licun Xue, "undated". "A Notion of Consistent Rationalizability - Between Weak and Pearce's Extensive Form Rationalizability," Economics Working Papers 2000-4, Department of Economics and Business Economics, Aarhus University.
    11. Caballero, Ricardo J, 1993. "Durable Goods: An Explanation for Their Slow Adjustment," Journal of Political Economy, University of Chicago Press, vol. 101(2), pages 351-384, April.
    12. Robert McDonald & Daniel Siegel, 1986. "The Value of Waiting to Invest," The Quarterly Journal of Economics, Oxford University Press, vol. 101(4), pages 707-727.
    13. Mauer, David C. & Ott, Steven H., 1995. "Investment under Uncertainty: The Case of Replacement Investment Decisions," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 30(04), pages 581-605, December.
    14. Xue, Licun, 2002. "Stable agreements in infinitely repeated games," Mathematical Social Sciences, Elsevier, vol. 43(2), pages 165-176, March.
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    More about this item


    Geometric Brownian motion; indivisibility; investment; irreversibility; repeated options; replacement; stochastic processes; technology; uncertainty;

    JEL classification:

    • D1 - Microeconomics - - Household Behavior
    • D9 - Microeconomics - - Micro-Based Behavioral Economics
    • O3 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights
    • Q12 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Agriculture - - - Micro Analysis of Farm Firms, Farm Households, and Farm Input Markets


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