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Risk, uncertainty and option exercise

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  • Jianjun Miao

    (Department of Economics, Boston University)

Abstract

Many economic decisions can be described as an option exercise or optimal stopping problem under uncertainty. Motivated by experimental evidence such as the Ellsberg Paradox, we follow Knight (1921) and distinguish risk from uncertainty. To afford this distinction, we adopt the multiple-priors utility model. We show that the impact of ambiguity on the option exercise decision depends on the relative degrees of ambiguity about continuation payoffs and termination payoffs. Consequently, ambiguity may accelerate or delay option exercise. We apply our results to firm investment and exit problems, and show that the myopic NPV rule can be optimal for an agent having an extremely high degree of ambiguity aversion.

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Paper provided by EconWPA in its series Finance with number 0410013.

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Date of creation: 16 Oct 2004
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Handle: RePEc:wpa:wuwpfi:0410013

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Citations

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Cited by:
  1. In-Koo Cho & Kenneth Kasa, 2013. "An Escape Time Interpretation of Robust Control," Working Papers dp13-07, CRABE, Department of Economics, Simon Fraser University.
  2. Massimo Guidolin & Francesca Rinaldi, 2011. "Ambiguity in Asset Pricing and Portfolio Choice: A Review of the Literature," Working Papers 417, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
  3. Jianjun Miao & Neng Wang, 2004. "Investment, Hedging, and Consumption Smoothing," Finance 0407014, EconWPA.
  4. Ling, Aifan & Sun, Jie & Yang, Xiaoguang, 2014. "Robust tracking error portfolio selection with worst-case downside risk measures," Journal of Economic Dynamics and Control, Elsevier, vol. 39(C), pages 178-207.
  5. Zimper, Alexander, 2012. "Asset pricing in a Lucas fruit-tree economy with the best and worst in mind," Journal of Economic Dynamics and Control, Elsevier, vol. 36(4), pages 610-628.
  6. So, Leh-chyan, 2013. "Are Real Options “Real”? Isolating Uncertainty from Risk in Real Options Analysis," MPRA Paper 52493, University Library of Munich, Germany.
  7. Zengwu Wang, 2010. "Irreversible Investment of the Risk- and Uncertainty-averse DM under k-Ignorance: The Role of BSDE," Annals of Economics and Finance, Society for AEF, vol. 11(2), pages 313-335, November.
  8. Jianjun Miao, 2004. "A Note on Consumption and Savings under Knightian Uncertainty," Annals of Economics and Finance, Society for AEF, vol. 5(2), pages 299-311, November.
  9. Tamini, Lota Dabio, 2012. "Optimal quality choice under uncertainty on market development," Working Papers 148589, Structure and Performance of Agriculture and Agri-products Industry (SPAA).
  10. Takanori Adachi & Takao Asano, 2011. "Entrepreneurial Choice and Knightian Uncertainty with Borrowing Constraints," KIER Working Papers 803, Kyoto University, Institute of Economic Research.
  11. Jianjun Miao, 2003. "Consumption and Saving under Knightian Uncertainty," Boston University - Department of Economics - The Institute for Economic Development Working Papers Series dp-134, Boston University - Department of Economics.
  12. Tamini, Lota D., 2012. "Optimal quality choice under uncertainty on market development," MPRA Paper 40845, University Library of Munich, Germany.
  13. Ulrich, Maxim, 2013. "Inflation ambiguity and the term structure of U.S. Government bonds," Journal of Monetary Economics, Elsevier, vol. 60(2), pages 295-309.
  14. Paul Viefers, 2012. "Should I Stay or Should I Go?: A Laboratory Analysis of Investment Opportunities under Ambiguity," Discussion Papers of DIW Berlin 1228, DIW Berlin, German Institute for Economic Research.

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