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Real Options and Threshold Strategies

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  • Vadim Arkin
  • Alexander Slastnikov

Abstract

The paper considers an investment timing problem appearing in real options theory. Present values from an investment project are modeled by general diffusion process. We prove necessary and sufficient conditions under which an optimal investment time is induced by threshold strategy. We study also the conditions of optimality of threshold strategy (over all threshold strategies) and discuss the connection between solutions to investment timing problem and to free-boundary problem.

Suggested Citation

  • Vadim Arkin & Alexander Slastnikov, 2015. "Real Options and Threshold Strategies," Papers 1511.00468, arXiv.org.
    • Handle: RePEc:arx:papers:1511.00468
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    References listed on IDEAS

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    1. Luis H. R. Alvarez, 2001. "Reward functionals, salvage values, and optimal stopping," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 54(2), pages 315-337, December.
    2. Avinash K. Dixit & Robert S. Pindyck, 1994. "Investment under Uncertainty," Economics Books, Princeton University Press, edition 1, number 5474.
    3. 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.
    4. 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.
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