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Real options and the universal bad news principle

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  • Svetlana Boyarchenko
  • Sergei Levendorskii

Abstract

A general framework for pricing of real options in continuous time for wide classes of payoff streams that are monotone functions of a Levy process is provided. Exercise rules are formulated in terms of statistics of record-setting low payoffs and can be viewed as an extension of Bernanke's bad news principle. To illustrate the framework, we solve analytically the following problems: a capital expansion program when the underlying price exhibits mean reverting features; an entry decision with an option to exit, and a new technology adoption. The effects of industry specific and idiosyncratic risks are separated. The third model is driven by two factors: one describes the dynamics of the frontier technology, the other incorporates non-technological uncertainty. The former factor follows a process with upward jumps. The impact of these factors on new technology adoption is analyzed.
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Suggested Citation

  • Svetlana Boyarchenko & Sergei Levendorskii, 2004. "Real options and the universal bad news principle," Levine's Bibliography 122247000000000430, UCLA Department of Economics.
  • Handle: RePEc:cla:levrem:122247000000000430
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    File URL: http://econwpa.wustl.edu:8089/eps/fin/papers/0405/0405011.pdf
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    References listed on IDEAS

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    1. Angus Deaton & Guy Laroque, 1992. "On the Behaviour of Commodity Prices," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 59(1), pages 1-23.
    2. 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.
    3. Abel, Andrew B. & Eberly, Janice C., 1999. "The effects of irreversibility and uncertainty on capital accumulation," Journal of Monetary Economics, Elsevier, vol. 44(3), pages 339-377, December.
    4. Svetlana Boyarchenko & Sergei Levendorskii, 2004. "Universal bad news principle and pricing of options on dividend-paying assets," Papers cond-mat/0404108, arXiv.org.
    5. Lander, Diane M. & Pinches, George E., 1998. "Challenges to the Practical Implementation of Modeling and Valuing Real Options," The Quarterly Review of Economics and Finance, Elsevier, vol. 38(3, Part 2), pages 537-567.
    6. Davis, Graham A., 1996. "Investment under uncertainty : Avinash K Dixit and Robert S Pindyck Princeton University Press, Princeton, NJ, 1994, xiv + 468 pp (hardcover), ISBN 0-691-03410-9," Resources Policy, Elsevier, vol. 22(3), pages 218-218, September.
    7. Svetlana Boyarchenko, 2004. "Irreversible Decisions and Record-Setting News Principles," American Economic Review, American Economic Association, vol. 94(3), pages 557-568, June.
    8. Darrell Duffie & Jun Pan & Kenneth Singleton, 2000. "Transform Analysis and Asset Pricing for Affine Jump-Diffusions," Econometrica, Econometric Society, vol. 68(6), pages 1343-1376, November.
    9. Svetlana I Boyarchenko & Sergei Z Levendorskii, 2002. "Non-Gaussian Merton-Black-Scholes Theory," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 4955, January.
    10. Seung-Ryong Yang & B. Wade Brorsen, 1992. "Nonlinear Dynamics of Daily Cash Prices," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 74(3), pages 706-715.
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    Cited by:

    1. Boyarchenko, Svetlana & Levendorskii[caron], Sergei, 2007. "Optimal stopping made easy," Journal of Mathematical Economics, Elsevier, vol. 43(2), pages 201-217, February.
    2. Flavia Barsotti, 2012. "Optimal Capital Structure with Endogenous Default and Volatility Risk," Working Papers - Mathematical Economics 2012-02, Universita' degli Studi di Firenze, Dipartimento di Scienze per l'Economia e l'Impresa.

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    More about this item

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • G31 - Financial Economics - - Corporate Finance and Governance - - - Capital Budgeting; Fixed Investment and Inventory Studies

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