Valorización de opciones reales: modelo Ornstein-Uhlenbeck

Authors

  • Álvaro Tresierra Tanaka Universidad de Piura, Perú
  • Claudia Marilia Carrasco Montero Universidad de Piura, Perú

Keywords:

Ornstein-Uhlenbeck, Brownian movement, Mean reversion, Real options, Gold

Abstract

This study has as its main objective to develop an analysis of decision making under uncertainty using the real options application in the evaluation of investments in mining projects. It is also proposed to study the behaviour of gold prices, for the specific case of Peru, using historic prices and based on the commodity prices process. The Ornstein-Uhlenbeck model has been used for this. The main result is that to evaluate projects using the real options approach allows to evaluate –in their real magnitude– the financial benefits associated with an investment project, as it takes into account the trinomial of profitability-risk-flexibility. The assessment method using real options makes it possible to structure strategic thinking.

Doi: https://doi.org/10.1016/j.jefas.2016.07.​001

Downloads

Download data is not yet available.

References

Berger, Ofek y Swary (1996). Investor valuation of the abandonment option. Journal of Financial Economics, 42(2), 257–287.

Black y Scholes (1973). The pricing of options and corporate liabilities. The Journal of Political Economy, 81, 637–654. No. 3 (mayo - junio, The University of Chicago Press

Brenan, M. J. y Schwartz, E. S. (1985). Evaluatting natural resource investments. The Journal of Business, 58(2), 135–157.

Cobb, B. R. y Charnes, J. M. (2004). Real options volatility estimation with correlated inputs. The Engineering Economist, (49), 119–137.

Copeland y Antikarov (2001). Real options: A practitioner’s guide. Texere, 372 páginas.

Cortázar, G. y Schwartz, E. S. (2003). Implementing a stochastic model for oil futures prices. Energy Economics, 25, 215–238.

Cox y Ross (1976). The valuation of options for alternative stochastic processes. Journal of Financial Economics, 3, 145–166.

Cox, Ross y Rubinstein (1979). Option pricing: a simplified approach. Journal of Financial Economics, 7, 229–263.

Diario gestión (2012). La producción minera caería en el 2012 por tercer ano˜ seguido. Consultado el 29 de agosto de 2012. http://gestion.pe/2012/06/19/economia/produccion-mineria-caeria-2.012-tercer-ano-seguido-2005524.

Gibson y Schwartz (1990). Stochastic convenience yield and the pricing of oil contingent claims. The Journal of Finance, 45(3), 959–976 (julio).

Heath, Jarrow y Morton (1992). Bond pricing and the term structure of interest rates: A new methodology for contingent claims valuation. Econometrica, 60, 77–105. No. 1, (enero).

Herath, H. S. B. y Park, C. S. (2002). Multi-stage capital investment opportunities as compound real options. The Engineering Economist, (47), 1–27.

Kulatilaka y Marcus (1992). Project valuation under uncertainty: When does DCF fail? Journal of Applied Corporate Finance, 5(3), 92–100.

Laughton y Jacoby (1993). Short-term shocks, reversion, and long-term, decision–making.

Lucía y Schwartz (2002). Electricity prices and power derivatives: Evidence from the Nordic Power Exchange. In Review of Derivatives Research. Kluwer Academic Publishers.

Manoliu, M. y Tompaidis, S. (2002). Energy futures prices: Term structure models with Kalman filter estimation. Applied Mathematical Finance, 9, 21–43.

Mardones, J. (1993). Option valuation of real assets: Application to a copper mine with operating flexibility. Resources Policy, 19, 51–65.

Mauer, D. C. y Ott, S. H. (1995). Investment under uncertainty the case of replacement investment decisions. The Journal of Financial and Quantitative Analysis, 30,581–605.

McDonald y Siegel (1985). The value of waiting to invest. Oxford Journals. Social Sciences. Quarterly Journal of Economics, 101(4), 707–727.

Merton y Robert, C. (1973). Theory of rational option pricing. The Bell Journal of Economics and Management Science, 4(1), 141–183 (primavera).

Milla, C. (2005). Modelos estocásticos de precios de commodities y estimación conjunta de la dinámica de dos commodities mediante el filtro de Kalman. Tesis de Magíster en Ciencias de la Ingeniería, Escuela de Ingeniería, Pontificia Universidad Católica de Chile.

Munn, J.(2002). Real options analysis: Tools and techniques for valuing strategic investments and decisions. John Wiley and Sons.

Ornstein y Uhlenbeck (1930). On the theory of the Brownian motion. Phisical Review (Vol. 36). University of Michigan, Ann Arbor and Phisisch Laboratorium Der R. U. Utrecht.

Oro y Finanzas (2012). Diario digital del mercado del oro. Varios bancos rebajan sus pronósticos para el precio del oro. Consultado el 29 de agosto de 2012. http://www.oroyfinanzas.com/2012/07/varios-bancosrebajan-pronostico-preciooro/.

Palm, S. K. y Pearson, N. D. (1986). Option pricing: A new approach to mine valuation. pp. 61–79. Canadian Institute of Mining, Metallurgy and Petroleum Bulletin.,mayo.

Schwartz, E. S. (1997). The stochastic behavior of commodity prices: Implications for valuation and hedging. The Journal of Finance, 52(3), 923–973.

Schwartz y Smith (2000). Short-term variations and long-term dynamics in commodity prices. Management Science, 46(7), 893–911, julio.

Trigeorgis, L. y Mason, S. P. (1987). Valuing managerial flexibility’. Midl Corporate Finance Journal, 5(1), 14–21

Published

2016-12-01

How to Cite

Tresierra Tanaka, Álvaro ., & Carrasco Montero, . C. M. . (2016). Valorización de opciones reales: modelo Ornstein-Uhlenbeck. Journal of Economics, Finance and Administrative Science, 21(41), 56–62. Retrieved from https://revistas.esan.edu.pe/index.php/jefas/article/view/138