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A comparison of pricing models for mineral rights: Copper mine in China

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  • Xiao, Chang
  • Florescu, Ionut
  • Zhou, Jinsheng

Abstract

Purchasing mineral rights to allow a corporation to extract minerals is a large investment and potentially very profitable. Generally, the assessment and valuation process is conducted by an official organization at the nation's governmental level. From a corporation perspective it is thus crucial to calculate an accurate value of the right to exploit a mineral product or what we call “mineral right”. In this work we compare three valuation methods and we compare their results in case of pricing a copper mine in China. We explain and apply the official valuation method based on a simple Discounted Cash Flow (DCF). We present what we believe is a more accurate valuation based on the term structure of future mineral prices: the so called modified Discounted Cash Flow (mDCF) method. Finally, we contrast with a method based on real options which considers the mineral right as a swaption. We implement two real options models: the classical Black model and a more modern Miltersen and Schwartz model. We highlight and discuss differences and commonalities between the three valuation methods. Finally, we make a recommendation for future financial reporting based what we learn from the three methods.

Suggested Citation

  • Xiao, Chang & Florescu, Ionut & Zhou, Jinsheng, 2020. "A comparison of pricing models for mineral rights: Copper mine in China," Resources Policy, Elsevier, vol. 65(C).
    • Handle: RePEc:eee:jrpoli:v:65:y:2020:i:c:s0301420719300236
    DOI: 10.1016/j.resourpol.2019.101546
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    1. Dal Bianco, Marcos & Camacho, Maximo & Perez Quiros, Gabriel, 2012. "Short-run forecasting of the euro-dollar exchange rate with economic fundamentals," Journal of International Money and Finance, Elsevier, vol. 31(2), pages 377-396.
    2. José Manuel Campa & Linda S. Goldberg, 2005. "Exchange Rate Pass-Through into Import Prices," The Review of Economics and Statistics, MIT Press, vol. 87(4), pages 679-690, November.
    3. Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1992. "Waiting to Invest: Investment and Uncertainty," The Journal of Business, University of Chicago Press, vol. 65(1), pages 1-29, January.
    4. Ng, Andrew C.Y., 2009. "On a dual model with a dividend threshold," Insurance: Mathematics and Economics, Elsevier, vol. 44(2), pages 315-324, April.
    5. Haque, Md. Aminul & Topal, Erkan & Lilford, Eric, 2014. "A numerical study for a mining project using real options valuation under commodity price uncertainty," Resources Policy, Elsevier, vol. 39(C), pages 115-123.
    6. 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.
    7. Islam Amer, 2014. "Modelling foreign exchange rate exposure," Journal of Economic and Administrative Sciences, Emerald Group Publishing Limited, vol. 30(2), pages 96-120, November.
    8. Lucio Sarno, 2005. "Viewpoint: Towards a solution to the puzzles in exchange rate economics: where do we stand?," Canadian Journal of Economics, Canadian Economics Association, vol. 38(3), pages 673-708, August.
    9. 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.
    10. Titman, Sheridan, 1985. "Urban Land Prices under Uncertainty," American Economic Review, American Economic Association, vol. 75(3), pages 505-514, June.
    11. Moyen, Nathalie & Slade, Margaret & Uppal, Raman, 1996. "Valuing risk and flexibility : A comparison of methods," Resources Policy, Elsevier, vol. 22(1-2), pages 63-74.
    12. Albrecher, Hansjörg & Badescu, Andrei & Landriault, David, 2008. "On the dual risk model with tax payments," Insurance: Mathematics and Economics, Elsevier, vol. 42(3), pages 1086-1094, June.
    13. Cheryl L. Faucett & Nathaniel Schenker & Jeremy M. G. Taylor, 2002. "Survival Analysis Using Auxiliary Variables Via Multiple Imputation, with Application to AIDS Clinical Trial Data," Biometrics, The International Biometric Society, vol. 58(1), pages 37-47, March.
    14. Steve Ross, 2015. "The Recovery Theorem," Journal of Finance, American Finance Association, vol. 70(2), pages 615-648, April.
    15. Miles, James A. & Ezzell, John R., 1980. "The Weighted Average Cost of Capital, Perfect Capital Markets, and Project Life: A Clarification," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 15(3), pages 719-730, September.
    16. Miltersen, Kristian R. & Schwartz, Eduardo S., 1998. "Pricing of Options on Commodity Futures with Stochastic Term Structures of Convenience Yields and Interest Rates," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 33(1), pages 33-59, March.
    17. Myers, Stewart C., 1977. "Determinants of corporate borrowing," Journal of Financial Economics, Elsevier, vol. 5(2), pages 147-175, November.
    18. Brennan, Michael J & Schwartz, Eduardo S, 1985. "Evaluating Natural Resource Investments," The Journal of Business, University of Chicago Press, vol. 58(2), pages 135-157, April.
    19. Bogdan Rębiasz & Bartłomiej Gaweł & Iwona Skalna, 2017. "Valuing managerial flexibility. An application of real-option theory to steel industry investments," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 27(2), pages 91-111.
    20. Ionuţ Florescu & Frederi Viens, 2008. "Stochastic Volatility: Option Pricing using a Multinomial Recombining Tree," Applied Mathematical Finance, Taylor & Francis Journals, vol. 15(2), pages 151-181.
    21. Cortazar, Gonzalo & Schwartz, Eduardo S., 2003. "Implementing a stochastic model for oil futures prices," Energy Economics, Elsevier, vol. 25(3), pages 215-238, May.
    22. Waqar Ali Asad, Mohammad & Dimitrakopoulos, Roussos, 2012. "Optimal production scale of open pit mining operations with uncertain metal supply and long-term stockpiles," Resources Policy, Elsevier, vol. 37(1), pages 81-89.
    23. Black, Fischer, 1976. "The pricing of commodity contracts," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 167-179.
    24. 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.
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    1. He Zhu & Xing Gao & Ying Lin & Yijing He, 2022. "Land-Development-Right Pricing Based on Spatial Characteristics in Urban Local Function Regeneration," Land, MDPI, vol. 11(12), pages 1-25, November.

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