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A Two Factor Model for Water Prices and Its Implications for Evaluating Real Options and Other Water Price Derivatives

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  • Chi H. Truong

Abstract

type="main" xml:lang="fr"> Les processus stochastiques à un seul facteur utilisés pour déterminer le prix de l'eau pourraient ne pas permettre de bien illustrer les impacts pertinents des chocs temporaires et des chocs permanents sur le prix de l'eau. Dans le présent article, nous avons proposé un cadre de modélisation à deux facteurs afin d'inclure les impacts de ces chocs. Nous avons utilisé le modèle pour analyser la règle d'investissement optimal lorsqu'un processus complexe de détermination du prix de l'eau s'applique. Les résultats indiquent que le fait d'ignorer les facteurs de long terme sur le prix de l'eau, comme dans les modèles à un seul facteur, peut entraîner un exercice prématuré de l'option réelle et entraîner une valeur actualisée nette (VAN) de l'investissement négative lorsque le prix de l'eau à long terme est faible. Le cadre de modélisation, qui donne lieu à des solutions analytiques pour déterminer la valeur des options européennes, contribue aussi à faciliter l'apparition imminente d'instruments dérivés pour la détermination du prix de l'eau sur les marchés de l'eau.

Suggested Citation

  • Chi H. Truong, 2014. "A Two Factor Model for Water Prices and Its Implications for Evaluating Real Options and Other Water Price Derivatives," Canadian Journal of Agricultural Economics/Revue canadienne d'agroeconomie, Canadian Agricultural Economics Society/Societe canadienne d'agroeconomie, vol. 62(1), pages 23-45, March.
  • Handle: RePEc:bla:canjag:v:62:y:2014:i:1:p:23-45
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    1. Angus Deaton & Guy Laroque, 1992. "On the Behaviour of Commodity Prices," Review of Economic Studies, Oxford University Press, vol. 59(1), pages 1-23.
    2. Longstaff, Francis A & Schwartz, Eduardo S, 2001. "Valuing American Options by Simulation: A Simple Least-Squares Approach," The Review of Financial Studies, Society for Financial Studies, vol. 14(1), pages 113-147.
    3. Boyle, Phelim P & Evnine, Jeremy & Gibbs, Stephen, 1989. "Numerical Evaluation of Multivariate Contingent Claims," The Review of Financial Studies, Society for Financial Studies, vol. 2(2), pages 241-250.
    4. Robert S. Pindyck, 1999. "The Long-Run Evolutions of Energy Prices," The Energy Journal, International Association for Energy Economics, vol. 0(Number 2), pages 1-27.
    5. John Quiggin, 2006. "Repurchase of renewal rights: a policy option for the National Water Initiative ," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 50(3), pages 425-435, September.
    6. Broadie, Mark & Glasserman, Paul, 1997. "Pricing American-style securities using simulation," Journal of Economic Dynamics and Control, Elsevier, vol. 21(8-9), pages 1323-1352, June.
    7. Murat Isik, 2006. "Implications of alternative stochastic processes for investment in agricultural technologies," Applied Economics Letters, Taylor & Francis Journals, vol. 13(1), pages 21-27.
    8. Hull, John & White, Alan, 1990. "Valuing Derivative Securities Using the Explicit Finite Difference Method," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 25(1), pages 87-100, March.
    9. Janis M. Carey & David Zilberman, 2002. "A Model of Investment under Uncertainty: Modern Irrigation Technology and Emerging Markets in Water," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 84(1), pages 171-183.
    10. J. J. McCall, 1970. "Economics of Information and Job Search," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 84(1), pages 113-126.
    11. Geske, Robert & Johnson, Herb E, 1984. "The American Put Option Valued Analytically," Journal of Finance, American Finance Association, vol. 39(5), pages 1511-1524, December.
    12. Neal, Derek, 1999. "The Complexity of Job Mobility among Young Men," Journal of Labor Economics, University of Chicago Press, vol. 17(2), pages 237-261, April.
    13. Richard E. Howitt, 1995. "Malleable Property Rights and Smooth-Pasting Conditions," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 77(5), pages 1192-1198.
    14. McDonald, Robert L & Siegel, Daniel R, 1985. "Investment and the Valuation of Firms When There Is an Option to Shut Down," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 26(2), pages 331-349, June.
    15. Heaney, Anna & Dwyer, Gavan & Beare, Stephen & Peterson, Deborah C. & Pechey, Lili, 2006. "Third-party effects of water trading and potential policy responses," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 50(3), pages 1-17, September.
    16. Anastasios Michailidis & Konstadinos Mattas, 2007. "Using Real Options Theory to Irrigation Dam Investment Analysis: An Application of Binomial Option Pricing Model," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 21(10), pages 1717-1733, October.
    17. Longstaff, Francis A & Schwartz, Eduardo S, 2001. "Valuing American Options by Simulation: A Simple Least-Squares Approach," University of California at Los Angeles, Anderson Graduate School of Management qt43n1k4jb, Anderson Graduate School of Management, UCLA.
    18. Wu, JunJie & Mapp, Harry P., Jr. & Bernardo, Daniel J., 1994. "A Dynamic Analysis Of The Impact Of Water Quality Policies On Irrigation Investment And Crop Choice Decisions," Journal of Agricultural and Applied Economics, Southern Agricultural Economics Association, vol. 26(2), pages 1-20, December.
    19. Jovanovic, Boyan, 1979. "Job Matching and the Theory of Turnover," Journal of Political Economy, University of Chicago Press, vol. 87(5), pages 972-990, October.
    20. Trigeorgis, Lenos, 1991. "A Log-Transformed Binomial Numerical Analysis Method for Valuing Complex Multi-Option Investments," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 26(3), pages 309-326, September.
    21. 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.
    22. Eberly, Janice C. & Van Mieghem, Jan A., 1997. "Multi-factor Dynamic Investment under Uncertainty," Journal of Economic Theory, Elsevier, vol. 75(2), pages 345-387, August.
    23. Anna Heaney & Gavan Dwyer & Stephen Beare & Deborah Peterson & Lili Pechey, 2006. "Third-party effects of water trading and potential policy responses ," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 50(3), pages 277-293, September.
    24. Kenneth A. Baerenklau & Keith C. Knapp, 2007. "Dynamics of Agricultural Technology Adoption: Age Structure, Reversibility, and Uncertainty," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 89(1), pages 190-201.
    25. Hahn, Warren J. & Dyer, James S., 2008. "Discrete time modeling of mean-reverting stochastic processes for real option valuation," European Journal of Operational Research, Elsevier, vol. 184(2), pages 534-548, January.
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