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The timing and intensity of investment under ambiguity

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  • Ma, Jinrun
  • Niu, Yingjie

Abstract

This paper extends the classic irreversible-investment problem by incorporating Knightian uncertainty to investigate the effect of ambiguity on a firm’s endogenously determined intensity and timing decisions. Compared to preceding studies, we clarify that the introduction of Knightian uncertainty brings a new trade-off between the option effect and ambiguity effect. Concretely, we find that ambiguity results in a U-shaped pattern of the optimal intensity as well as investment threshold against the volatility of the project. Inheriting from the non-monotonic pattern, an increase in risk can actually shorten the expected exercise time and thereby speed up investment in certain situations. However, an increase in ambiguity via a change in the degree of Knigtian uncertainty unambiguously narrows the intensity and accelerates the investment. Finally, robustness for parameterization is examined in this paper as well.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:ecofin:v:49:y:2019:i:c:p:318-330
    DOI: 10.1016/j.najef.2019.04.015
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    1. Lars Peter Hansen & Thomas J Sargent, 2014. "Robust Control and Model Uncertainty," World Scientific Book Chapters, in: UNCERTAINTY WITHIN ECONOMIC MODELS, chapter 5, pages 145-154, World Scientific Publishing Co. Pte. Ltd..
    2. Gan, Liu & Xia, Xin & Chen, Yifei, 2018. "Investment and financing choices by time-inconsistent managers," The North American Journal of Economics and Finance, Elsevier, vol. 46(C), pages 29-48.
    3. Nishimura, Kiyohiko G. & Ozaki, Hiroyuki, 2007. "Irreversible investment and Knightian uncertainty," Journal of Economic Theory, Elsevier, vol. 136(1), pages 668-694, September.
    4. Avinash K. Dixit & Robert S. Pindyck, 1994. "Investment under Uncertainty," Economics Books, Princeton University Press, edition 1, number 5474.
    5. Wong, Kit Pong, 2007. "The effect of uncertainty on investment timing in a real options model," Journal of Economic Dynamics and Control, Elsevier, vol. 31(7), pages 2152-2167, July.
    6. Zengjing Chen & Larry Epstein, 2002. "Ambiguity, Risk, and Asset Returns in Continuous Time," Econometrica, Econometric Society, vol. 70(4), pages 1403-1443, July.
    7. Sujoy Mukerji & Jean-Marc Tallon, 2001. "Ambiguity Aversion and Incompleteness of Financial Markets," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 68(4), pages 883-904.
    8. Bar-Ilan, Avner & Strange, William C., 1999. "The Timing and Intensity of Investment," Journal of Macroeconomics, Elsevier, vol. 21(1), pages 57-77, January.
    9. Capozza, Dennis & Li, Yuming, 1994. "The Intensity and Timing of Investment: The Case of Land," American Economic Review, American Economic Association, vol. 84(4), pages 889-904, September.
    10. Rama Cont, 2006. "Model Uncertainty And Its Impact On The Pricing Of Derivative Instruments," Mathematical Finance, Wiley Blackwell, vol. 16(3), pages 519-547, July.
    11. Pindyck, Robert S, 1988. "Irreversible Investment, Capacity Choice, and the Value of the Firm," American Economic Review, American Economic Association, vol. 78(5), pages 969-985, December.
    12. Viviani, Jean-Laurent & Lai, Anh-Ngoc & Louhichi, Waël, 2018. "The impact of asymmetric ambiguity on investment and financing decisions," Economic Modelling, Elsevier, vol. 69(C), pages 169-180.
    13. Robert McDonald & Daniel Siegel, 1986. "The Value of Waiting to Invest," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 101(4), pages 707-727.
    14. Sarkar, Sudipto, 2000. "On the investment-uncertainty relationship in a real options model," Journal of Economic Dynamics and Control, Elsevier, vol. 24(2), pages 219-225, February.
    15. Wu, Yaoyao & Yang, Jinqiang & Zou, Zhentao, 2017. "Dynamic corporate investment and liquidity management under model uncertainty," Economics Letters, Elsevier, vol. 155(C), pages 9-13.
    16. Wong, Kit Pong, 2011. "Progressive taxation and the intensity and timing of investment," Economic Modelling, Elsevier, vol. 28(1-2), pages 100-108, January.
    17. Michail Chronopoulos & Verena Hagspiel & Stein-Erik Fleten, 2017. "Stepwise investment and capacity sizing under uncertainty," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 39(2), pages 447-472, March.
    18. Thijssen, Jacco J.J., 2011. "Incomplete markets, ambiguity, and irreversible investment," Journal of Economic Dynamics and Control, Elsevier, vol. 35(6), pages 909-921, June.
    19. Yingjie Niu & Jinqiang Yang & Zhentao Zou, 2019. "Dynamic Agency and Investment Theory under Model Uncertainty," International Review of Finance, International Review of Finance Ltd., vol. 19(2), pages 447-458, June.
    20. Niu, Yingjie & Zhou, Lei & Zou, Zhentao, 2019. "A model of capacity choice under Knightian uncertainty," Economics Letters, Elsevier, vol. 174(C), pages 189-194.
    21. Wong, Kit Pong, 2011. "Progressive taxation and the intensity and timing of investment," Economic Modelling, Elsevier, vol. 28(1), pages 100-108.
    22. Rama Cont, 2006. "Model uncertainty and its impact on the pricing of derivative instruments," Post-Print halshs-00002695, HAL.
    23. 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.
    24. Daniel Ellsberg, 1961. "Risk, Ambiguity, and the Savage Axioms," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 75(4), pages 643-669.
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    Cited by:

    1. Shuang Li & Haijun Wang, 2023. "Robust irreversible investment strategy with ambiguity to jump and diffusion risk," International Review of Finance, International Review of Finance Ltd., vol. 23(3), pages 645-665, September.

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    More about this item

    Keywords

    Knightian uncertainty; Risk; Investment timing; Investment intensity; Expected exercise time;
    All these keywords.

    JEL classification:

    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty
    • E2 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment
    • G3 - Financial Economics - - Corporate Finance and Governance

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