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Optimal Entry and Exit Decisions Under Uncertainty and the Impact of Mean Reversion

Author

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  • Jostein Tvedt

    (BI Norwegian Business School
    The Institute of Transport Economics)

Abstract

This paper derives an entrepreneur’s optimal switching between an idle and an active state under stochastic mean reverting output prices. The paper suggests a new categorisation of the effects of mean reversion. Mean reversion affects valuation and optimal entry and exit thresholds via the variance of output prices and expected future cashflows. High variance increases the value of optionality and enhances hysteresis effects. Changes to the expected cashflow path affect the attractiveness of the active relative to the idle state. In addition, changes to the moments affect the implicit risk discounting rate and thereby valuation and the optimal switching strategy.

Suggested Citation

  • Jostein Tvedt, 2022. "Optimal Entry and Exit Decisions Under Uncertainty and the Impact of Mean Reversion," SN Operations Research Forum, Springer, vol. 3(4), pages 1-21, December.
  • Handle: RePEc:spr:snopef:v:3:y:2022:i:4:d:10.1007_s43069-022-00161-9
    DOI: 10.1007/s43069-022-00161-9
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    References listed on IDEAS

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    1. John Y. Campbell & Luis M. Viceira, 1999. "Consumption and Portfolio Decisions when Expected Returns are Time Varying," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(2), pages 433-495.
    2. Avinash K. Dixit & Robert S. Pindyck, 1994. "Investment under Uncertainty," Economics Books, Princeton University Press, edition 1, number 5474.
    3. Eduardo Schwartz & James E. Smith, 2000. "Short-Term Variations and Long-Term Dynamics in Commodity Prices," Management Science, INFORMS, vol. 46(7), pages 893-911, July.
    4. Metcalf, Gilbert E. & Hassett, Kevin A., 1995. "Investment under alternative return assumptions Comparing random walks and mean reversion," Journal of Economic Dynamics and Control, Elsevier, vol. 19(8), pages 1471-1488, November.
    5. Lund Diderik, 1993. "The Lognormal Diffusion Is Hardly an Equilibrium Price Process for Exhaustible Resources," Journal of Environmental Economics and Management, Elsevier, vol. 25(3), pages 235-241, November.
    6. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    7. Dias, José Carlos & Shackleton, Mark B., 2011. "Hysteresis effects under CIR interest rates," European Journal of Operational Research, Elsevier, vol. 211(3), pages 594-600, June.
    8. David G. Laughton & Henry D. Jacoby, 1993. "Reversion, Timing Options, and Long-Term Decision-Making," Financial Management, Financial Management Association, vol. 22(3), Fall.
    9. Kim, Tong Suk & Omberg, Edward, 1996. "Dynamic Nonmyopic Portfolio Behavior," The Review of Financial Studies, Society for Financial Studies, vol. 9(1), pages 141-161.
    10. Dixit, Avinash K, 1989. "Entry and Exit Decisions under Uncertainty," Journal of Political Economy, University of Chicago Press, vol. 97(3), pages 620-638, June.
    11. Tsekrekos, Andrianos E., 2010. "The effect of mean reversion on entry and exit decisions under uncertainty," Journal of Economic Dynamics and Control, Elsevier, vol. 34(4), pages 725-742, April.
    12. Tsekrekos, Andrianos E. & Yannacopoulos, Athanasios N., 2016. "Optimal switching decisions under stochastic volatility with fast mean reversion," European Journal of Operational Research, Elsevier, vol. 251(1), pages 148-157.
    13. Dixit, Avinash & Pindyck, Robert S & Sodal, Sigbjorn, 1999. "A Markup Interpretation of Optimal Investment Rules," Economic Journal, Royal Economic Society, vol. 109(455), pages 179-189, April.
    14. Sødal, Sigbjørn & Koekebakker, Steen & Aadland, Roar, 2008. "Market switching in shipping -- A real option model applied to the valuation of combination carriers," Review of Financial Economics, Elsevier, vol. 17(3), pages 183-203, August.
    15. Schwartz, Eduardo S, 1997. "The Stochastic Behavior of Commodity Prices: Implications for Valuation and Hedging," Journal of Finance, American Finance Association, vol. 52(3), pages 923-973, July.
    16. James E. Smith & Kevin F. McCardle, 1999. "Options in the Real World: Lessons Learned in Evaluating Oil and Gas Investments," Operations Research, INFORMS, vol. 47(1), pages 1-15, February.
    17. Sarkar, Sudipto, 2003. "The effect of mean reversion on investment under uncertainty," Journal of Economic Dynamics and Control, Elsevier, vol. 28(2), pages 377-396, November.
    18. H. Dharma Kwon, 2010. "Invest or Exit? Optimal Decisions in the Face of a Declining Profit Stream," Operations Research, INFORMS, vol. 58(3), pages 638-649, June.
    19. Bhattacharya, Sudipto, 1978. "Project Valuation with Mean-Reverting Cash Flow Streams," Journal of Finance, American Finance Association, vol. 33(5), pages 1317-1331, December.
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