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A characterisation of the mechanisms transforming capital investment into productive capacity in mining projects with long lead-times

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Listed:
  • Maryke C. Rademeyer

    (The University of the Witwatersrand)

  • Richard C. A. Minnitt

    (The University of the Witwatersrand)

  • Rosemary M. S. Falcon

    (Genmin Laboratory The University of the Witwatersrand)

Abstract

In the development of mining projects, there is a period in between commitment of finance and production commencement. Risks are present in various aspects of development such that production start-up could be delayed, thereby affecting the value of the project. This paper demonstrates the application of convolution in the capital investment problem for projects with long lead-times as a means of characterising the relationship between capital invested and the materialisation of capacity for production to begin. The system is functionally similar to that of a causal linear time-invariant system in signal processing. We find that the filter for capital projects, affecting the rate at which capacity becomes available for use, can be approximated by a straight-line function with positive gradient on bounded support contained in the positive time domain. The deterministic version is derived and evaluated, and uncertainty is simulated in the stochastic version, where variance results from the presence of a random process in the form of a standard Brownian motion.

Suggested Citation

  • Maryke C. Rademeyer & Richard C. A. Minnitt & Rosemary M. S. Falcon, 2020. "A characterisation of the mechanisms transforming capital investment into productive capacity in mining projects with long lead-times," Mineral Economics, Springer;Raw Materials Group (RMG);Luleå University of Technology, vol. 33(3), pages 349-357, October.
    • Handle: RePEc:spr:minecn:v:33:y:2020:i:3:d:10.1007_s13563-019-00213-3
    DOI: 10.1007/s13563-019-00213-3
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    References listed on IDEAS

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    1. Pindyck, Robert S., 1993. "Investments of uncertain cost," Journal of Financial Economics, Elsevier, vol. 34(1), pages 53-76, August.
    2. Rademeyer, Maryke C. & Minnitt, Richard C.A. & Falcon, Rosemary M.S., 2019. "A mathematical optimisation approach to modelling the economics of a coal mine," Resources Policy, Elsevier, vol. 62(C), pages 561-570.
    3. Tobin, James, 1969. "A General Equilibrium Approach to Monetary Theory," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 1(1), pages 15-29, February.
    4. Savolainen, Jyrki, 2016. "Real options in metal mining project valuation: Review of literature," Resources Policy, Elsevier, vol. 50(C), pages 49-65.
    5. Costa Lima, Gabriel A. & Suslick, Saul B., 2006. "Estimating the volatility of mining projects considering price and operating cost uncertainties," Resources Policy, Elsevier, vol. 31(2), pages 86-94, June.
    6. Nourali, Hamidreza & Osanloo, Morteza, 2019. "Mining capital cost estimation using Support Vector Regression (SVR)," Resources Policy, Elsevier, vol. 62(C), pages 527-540.
    7. Elizabeth Olmstead Teisberg, 1993. "Capital Investment Strategies under Uncertain Regulation," RAND Journal of Economics, The RAND Corporation, vol. 24(4), pages 591-604, Winter.
    8. M. I. Kamien & E. Muller, 1976. "Optimal Control with Integral State Equations," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 43(3), pages 469-473.
    9. Dale W. Jorgenson, 1996. "Investment - Vol. 1: Capital Theory and Investment Behavior," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100568, April.
    10. Abel, Andrew B, 1983. "Optimal Investment under Uncertainty," American Economic Review, American Economic Association, vol. 73(1), pages 228-233, March.
    11. J. P. Gould, 1968. "Adjustment Costs in the Theory of Investment of the Firm," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 35(1), pages 47-55.
    12. Foo, Nam & Bloch, Harry & Salim, Ruhul, 2018. "The optimisation rule for investment in mining projects," Resources Policy, Elsevier, vol. 55(C), pages 123-132.
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