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Real Options Analysis for Commodity Based Mining Enterprises with Compound and Barrier Features

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  • Otto Konstandatos
  • Timothy Kyng

Abstract

Traditional project evaluations rely mainly on Net Present Value methodology, and largely ignore the flexibilities available to the sponsor to vary the project after initiation. Real Options Analysis remedies this by applying option pricing theory to more fully evaluate investment decisions. Through several hypothetical gold-mining examples, we illustrate the economic valuation of multi-stage investment decisions as simple or compound options, possibly with barrier option features. Barrier options are common in foreign exchange markets, and also arise in our analysis. The decision to delay commencement contingent on commodity prices rising requires an up-and-in type barrier option, whereas the risk of project nationalization may be modeled by adding an up-and-out barrier feature. Other barrier option features also arise in a Real Options context. We apply recently developed valuation methods for compound and barrier exotic options to several gold-mining examples, and present closed form valuation formulae which we numerically implement using Excel spreadsheet software.

Suggested Citation

  • Otto Konstandatos & Timothy Kyng, 2012. "Real Options Analysis for Commodity Based Mining Enterprises with Compound and Barrier Features," Accounting and Finance Research, Sciedu Press, vol. 1(2), pages 216-216, November.
    • Handle: RePEc:jfr:afr111:v:1:y:2012:i:2:p:216
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    References listed on IDEAS

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    1. Geske, Robert, 1979. "The valuation of compound options," Journal of Financial Economics, Elsevier, vol. 7(1), pages 63-81, March.
    2. Robert C. Merton, 2005. "Theory of rational option pricing," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 8, pages 229-288, World Scientific Publishing Co. Pte. Ltd..
    3. Harrison, J. Michael & Pliska, Stanley R., 1981. "Martingales and stochastic integrals in the theory of continuous trading," Stochastic Processes and their Applications, Elsevier, vol. 11(3), pages 215-260, August.
    4. Merton, Robert C, 1998. "Applications of Option-Pricing Theory: Twenty-Five Years Later," American Economic Review, American Economic Association, vol. 88(3), pages 323-349, June.
    5. Peter Buchen, 2004. "The pricing of dual-expiry exotics," Quantitative Finance, Taylor & Francis Journals, vol. 4(1), pages 101-108.
    6. Lee, Meng-Yu & Yeh, Fang-Bo & Chen, An-Pin, 2008. "The generalized sequential compound options pricing and sensitivity analysis," Mathematical Social Sciences, Elsevier, vol. 55(1), pages 38-54, January.
    7. J. Michael Harrison & Stanley R. Pliska, 1981. "Martingales and Stochastic Integrals in the Theory of Continous Trading," Discussion Papers 454, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    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. Pendharkar, Parag C., 2010. "Valuing interdependent multi-stage IT investments: A real options approach," European Journal of Operational Research, Elsevier, vol. 201(3), pages 847-859, March.
    10. Cox, John C. & Ross, Stephen A. & Rubinstein, Mark, 1979. "Option pricing: A simplified approach," Journal of Financial Economics, Elsevier, vol. 7(3), pages 229-263, September.
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    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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