Mean Reversion with Drift and Real Options in Steel Industry. Other Languages

ID:
7384
Abstract:
Steel is a commodity with significant price volatility and the choice of the stochastic process
that better describes its price performance is a fundamental issue in real options valuation in steel industry projects. As verified with other commodities, it is assumed that steel prices can be led partially by a mean reversion component, but the analysis of some economic issues related to production indicates that steel prices may also have a rising drift component. This, in practical terms, would increase the long term mean with time. This work presents a model that we call Mean Reversion with Drift (MRM-D), in which a deterministic tendency is attached to the long term equilibrium level in order to capture the increase of steel production marginal cost. It then evaluates the implications of using this model in valuation of steel sector projects.
ABNT Citation:
OZORIO, L. M.; BASTIAN-PINTO, C. L.; BAIDYA, T. N.; BRANDÃO, L. E. T. Reversão à Média com Tendência e Opções Reais na Siderurgia.. Revista Brasileira de Finanças, v. 10, n. 2, p. 215-241, 2012.
APA Citation:
Ozorio, L. M., Bastian-pinto, C. L., Baidya, T. N., & Brandão, L. E. T. (2012). Reversão à Média com Tendência e Opções Reais na Siderurgia.. Revista Brasileira de Finanças, 10(2), 215-241.
Permalink:
https://www.spell.org.br/documentos/ver/7384/mean-reversion-with-drift-and-real-options-in-steel-industry-/i/en
Document type:
Artigo
Language:
Português
References:
Aiube, Fernando A. L., Baidya, Tara K. N., & Tito, Edison A. H. 2008. Analysis of Commodity Prices with the Particle Filter. Energy Economics, 30, 597–605.

Al-Harthy, Mansoor H. 2007. Stochastic Oil Price Models: Comparison and Impact. The Engineering Economist, 52, 269–284.

Baker, Malcolm P., Mayfield, E. Scott, & Parsons, John E. 1998. Alternative Models of Uncertain Commodity Prices for Use with Modern Asset Pricing Models. The Energy Journal, 19, 115–148. Bastian-Pinto, Carlos, & Brandão, Luiz Eduardo T. 2007.

Bastian-Pinto, Carlos, Brandao, Luiz Eduardo T., & Hahn, Warren. J. 2009. Flexibility as a Source of Value in the Production of Alternative Fuels: The Ethanol Case. Energy Economics, 31, 411–422.

Bastian-Pinto, Carlos, Brandao, Luiz Eduardo T., & Hahn, Warren J. 2010. A Non-Censored Binomial Model for Mean Reverting Stochastic Processes. Paper presented at the 14th Annual International Conference on Real Options in Rome. Available at: http://www.realoptions.org/,Retrieved 03 October 2009.

Bhattacharya, Sudipto. 1978. Project Valuation with Mean-Reverting Cash Flow Streams. The Journal of Finance, 33, 1317–1331.

Black, Fisher, & Scholes, Myron. 1973. The Pricing of Options and Corporate Liabilities. Journal of Political Economy, 81, 637–654.

Blank, Francis F., Baydia, Tara K. N., & Dias, Marco Antonio G. 2009. Private Infrastructure Investment Through Public Private Partnership: An Application to a Toll Road Highway Concession in Brazil. Paper presented at the 13th Annual International Conference on Real Options at University of Minho, Portugal & University of Santiago de Compostela, Spain.

Brandão, Luiz Eduardo T., & Saraiva, Eduardo C. G. 2008. The Option Value of Government Guarantees in Infrastructure Projects. Construction Management and Economics, 26, 1171–1180.

Brennan, Michael J., & Schwartz, Eduardo S. 1985. Evaluating Natural Resource Investments. The Journal of Business, 58, 135–157.

Cox, John C., Ross, Stephen A., & Rubinstein, Mark. 1979. Option Pricing: A Simplified Approach. Journal of Financial Economics, 7, 229–263.

Dias, Marco Antonio G. 2009. Stochastic Processes with Focus in Petroleum Applications, Part 2 – Mean Reversion Models. Available at: http://www. puc-rio.br/marco.ind/revers.html#mean-rev.

Dias, Marco Antonio G., & Rocha, Katia. 1999. Petroleum Concessions With Extendible Options Using Mean Reversion with Jumps to Model Oil Prices. Paper presented at the 3rd Real Option Conference.

Dixit, Avinash K., & Pindyck, Robert S. 1994. Investment under Uncertainty. Princeton: Princeton University Press.

Geman, H´elyette. 2005. Commodities and Commodity Derivatives: Modeling and Pricing for Agriculturals, Metals and Energy. New York: Wiley Finance.

Gibson, Rajna, & Schwartz, Eduardo S. 1990. Stochastic Convenience Yield and the Pricing of Oil Contingent Claims. Journal of Finance, 45, 959–976.

Greene, William H. 2000. Econometric Analysis. Englewood Cliffs, NJ: Prentice Hall.

Hull, John. 2006. Options, Futures and Other Derivatives. Upper Saddle River, NJ: Prentice Hall. IBS – Instituto Aço Brasil. 2009. Available at: http://www.acobrasil.org. br, Retrieved 03 October 2009.

Irwin, Timothy. 2003. Public Money for Private Infrastructure: Deciding When to Offer Guarantees, Output-Based Subsidies, and Other Fiscal Support. Washington,DC.

Kerr, Roberto B., Martin, Di´ogenes M. L., Perera, Luiz Carlos J., Kimura, Herbert, & Lima, Fabiano G. 2009. Avaliação de Um Investimento Florestal: Uma Abordagem Com Opções Reais Utilizando Diferenças Finitas Totalmente Implicitas e Algoritmo PSOR. Paper presented at the XXXIII Encontro da ANPAD, São Paulo.

McDonald, Robert L., & Siegel, Daniel R. 1985. Investment and the Valuation of Firms When There is an Option to Shut Down. International Economic Review, June, 331–49.

McDonald, Robert L., & Siegel, Daniel R. 1986. The Value of Waiting to Invest. The Quarterly Journal of Economics, 101, 707–728.

Metcalf, Gilbert E., & Hasset, Kevin A. 1995. Investment under Alternative Return Assumptions Comparing Random Walks and Mean Reversion. Journal of Economic Dynamics and Control, 19, 1471–1488.

Modelando Opc¸˜oes de Convers˜ao Com Movimento de Reversão A Média. ` Revista Brasileira de Financ¸as, 5, 97–124.

Paddock, James L., Siegel, Daniel R., & Smith, James L. 1988. Option Valuation of Claims on Real Assets: The Case of Offshore Petroleum Leases. Quarterly Journal of Economics, 103, 479–508.

Pindyck, Robert S. 1999. The Long-Run Evolution of Energy Prices. Energy Journal, 20, 1–27.

Pindyck, Robert S. 2001. The Dynamics of Commodity Spot and Futures Markets: A Primer. Energy Journal, 22, 1–29.

Schwartz, Eduardo S. 1997. The Stochastic Behavior of Commodity Prices: Implications for Valuation and Hedging. The Journal of Finance, 52, 923–973.

Schwartz, Eduardo S., & Smith, James E. 2000. Short-Term Variations and LongTerm Dynamics in Commodity Prices. Management Science, 46, 893–911.

Smith, James E., & McCardle, Kevin F. 1999. Options in the Real World: Lessons Learned in Evaluating Oil and Gas Investments. Operations Research, 47, 1–15.