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The effects of irreversibility on the timing and intensity of lumpy investment

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  • Wong, Kit Pong

Abstract

This paper examines how changes in irreversibility of investment affect the timing and intensity of lumpy investment. We develop a continuous-time model wherein a firm is endowed with a perpetual option to invest in a project at any time by incurring a partially reversible investment cost at that instant. The amount of the investment cost is directly related to the intensity of investment that is endogenously chosen by the firm at the instant when the investment option is exercised. We show that higher irreversibility of investment induces the firm to raise its optimal investment trigger, thereby deferring the undertaking of the project. Furthermore, we show that changes in irreversibility of investment have no impact on the firm's optimal investment intensity due to two opposing effects that exactly offset each other. Finally, we show that higher irreversibility of investment reduces the value of the investment option and, therefore, makes the firm less valuable.

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  • Wong, Kit Pong, 2010. "The effects of irreversibility on the timing and intensity of lumpy investment," Economic Modelling, Elsevier, vol. 27(1), pages 97-102, January.
  • Handle: RePEc:eee:ecmode:v:27:y:2010:i:1:p:97-102
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    2. Wong, Kit Pong & Yi, Long, 2013. "Irreversibility, mean reversion, and investment timing," Economic Modelling, Elsevier, vol. 30(C), pages 770-775.
    3. Wong, Kit Pong, 2011. "Progressive taxation and the intensity and timing of investment," Economic Modelling, Elsevier, vol. 28(1-2), pages 100-108, January.
    4. Feil, Jan-Henning & Musshoff, Oliver, 2013. "Modelling investment and disinvestment decisions under competition, uncertainty and different market interventions," Economic Modelling, Elsevier, vol. 35(C), pages 443-452.
    5. Zhang, Ran & Xu, Shuang, 2014. "Optimal stopping time with stochastic volatility," Economic Modelling, Elsevier, vol. 41(C), pages 319-328.
    6. Ma, Jinrun & Niu, Yingjie, 2019. "The timing and intensity of investment under ambiguity," The North American Journal of Economics and Finance, Elsevier, vol. 49(C), pages 318-330.
    7. Wong, Kit Pong, 2011. "Progressive taxation and the intensity and timing of investment," Economic Modelling, Elsevier, vol. 28(1), pages 100-108.
    8. Shibata, Takashi & Nishihara, Michi, 2018. "Investment timing, reversibility, and financing constraints," Journal of Corporate Finance, Elsevier, vol. 48(C), pages 771-796.
    9. Cui, Xue & Shibata, Takashi, 2017. "Investment strategies, reversibility, and asymmetric information," European Journal of Operational Research, Elsevier, vol. 263(3), pages 1109-1122.
    10. Davis, Graham A. & Cairns, Robert D., 2017. "The odd notion of “reversible investment”," Journal of Banking & Finance, Elsevier, vol. 81(C), pages 172-180.
    11. Xue Cui & Takashi Shibata, 2018. "Random Shock Uncertainty And Investment Reversibility: Real Option Framework," Bulletin of Economic Research, Wiley Blackwell, vol. 70(2), pages 150-164, April.
    12. Kamoto, Shinsuke, 2015. "Strategic capacity expansion under a potential entry threat," International Review of Economics & Finance, Elsevier, vol. 38(C), pages 157-177.
    13. Zhang, Zhou, 2023. "Competition, investment reversibility, and equity risk premium," Journal of Banking & Finance, Elsevier, vol. 154(C).
    14. Sarkar, Sudipto, 2015. "Price limits and corporate investment: The consumers' perspective," Economic Modelling, Elsevier, vol. 50(C), pages 168-178.
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    16. Kit Pong Wong, 2023. "A regret theory of investment timing under asymmetric information," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 44(3), pages 1669-1677, April.

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