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Practical guide to real options in discrete time

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  • Svetlana Boyarchenko

    (The University of Texas at Austin)

  • Sergei Levendorskii

    (The University of Texas at Austin)

Abstract

Continuous time models in the theory of real options give explicit formulas for optimal exercise strategies when options are simple and the price of an underlying asset follows a geometric Brownian motion. This paper suggests a general, computationally simple approach to real options in discrete time. Explicit formulas are derived even for embedded options. Discrete time processes reflect the scarcity of observations in the data, and may account for fat tails and skewness of probability distributions of commodity prices. The method of the paper is based on the use of the expected present value operators.

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File URL: http://128.118.178.162/eps/fin/papers/0405/0405016.pdf
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Bibliographic Info

Paper provided by EconWPA in its series Finance with number 0405016.

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Length: 28 pages
Date of creation: 11 May 2004
Date of revision:
Handle: RePEc:wpa:wuwpfi:0405016

Note: Type of Document - pdf; pages: 28
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Web page: http://128.118.178.162

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Keywords: Real options; embedded options; expected present value operators;

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References

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  1. Thomas F. Cooley & Vincenzo Quadrini, 1999. "Financial Markets and Firm Dynamics," Working Papers 99-14, New York University, Leonard N. Stern School of Business, Department of Economics.
  2. Deaton, Angus & Laroque, Guy, 1992. "On the Behaviour of Commodity Prices," Review of Economic Studies, Wiley Blackwell, vol. 59(1), pages 1-23, January.
  3. Andrew B. Abel & Janice B. Eberly, . "The Effects of Irreversibility and Uncertainty on Capital Accumulation," Rodney L. White Center for Financial Research Working Papers 21-95, Wharton School Rodney L. White Center for Financial Research.
  4. Svetlana Boyarchenko, 2004. "Irreversible Decisions and Record-Setting News Principles," American Economic Review, American Economic Association, vol. 94(3), pages 557-568, June.
  5. Peter Carr & Liuren Wu, 2002. "The Finite Moment Log Stable Process and Option Pricing," Finance 0207012, EconWPA.
  6. S. I. Boyarchenko & S. Z. Levendorskii, 2002. "Pricing of perpetual Bermudan options," Quantitative Finance, Taylor & Francis Journals, vol. 2(6), pages 432-442.
  7. Steven J. Davis & John C. Haltiwanger & Scott Schuh, 1998. "Job Creation and Destruction," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262540932, December.
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Cited by:
  1. Detert, Neal & Kotani, Koji, 2013. "Real options approach to renewable energy investments in Mongolia," Energy Policy, Elsevier, vol. 56(C), pages 136-150.
  2. Svetlana Boyarchenko & Sergei Levendorskii, 2005. "Discount factors ex post and ex ante, and discounted utility anomalies," Microeconomics 0510013, EconWPA, revised 17 Nov 2005.
  3. Svetlana Boyarchenko & Sergey Levendorskiy, 2004. "Optimal stopping made easy," Finance 0410016, EconWPA.
  4. Jukka Lempa, 2006. "On Infinite Horizon Optimal Stopping of General Random Walk," Discussion Papers 3, Aboa Centre for Economics.
  5. Luis Alvarez & Teppo Rakkolainen, 2009. "Optimal payout policy in presence of downside risk," Computational Statistics, Springer, vol. 69(1), pages 27-58, March.
  6. Boyarchenko, Svetlana & Levendorskii, Sergei, 2010. "Optimal stopping in Levy models, for non-monotone discontinuous payoffs," MPRA Paper 27999, University Library of Munich, Germany.
  7. Jukka Lempa, 2008. "On infinite horizon optimal stopping of general random walk," Computational Statistics, Springer, vol. 67(2), pages 257-268, April.
  8. Luis Alvarez & Teppo Rakkolainen, 2010. "Investment timing in presence of downside risk: a certainty equivalent characterization," Annals of Finance, Springer, vol. 6(3), pages 317-333, July.
  9. Svetlana Boyarchenko & Sergei Levendorskii, 2005. "A theory of endogenous time preference, and discounted utility anomalies," Microeconomics 0506005, EconWPA.
  10. Fernando A. C. C. Fonte & Dalila B. M. M. Fontes, 2007. "Optimal investment timing using Markov jump price processes," FEP Working Papers 245, Universidade do Porto, Faculdade de Economia do Porto.
  11. Boyarchenko, Svetlana & Levendorskii, Sergei, 2008. "Exit problems in regime-switching models," Journal of Mathematical Economics, Elsevier, vol. 44(2), pages 180-206, January.
  12. Svetlana Boyarchenko & Sergei Levendorskii, 2005. "American options: the EPV pricing model," Annals of Finance, Springer, vol. 1(3), pages 267-292, 08.

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