International Journal of Economics and Management Engineering                                                                                   
International Journal of Economics and Management Engineering(IJEME)
ISSN:2225-742X(Print)       ISSN:2226-7344(Online)
Editor-in-Chief: Prof. Jeffrey E. Jarrett (USA)
Valuation of a Typical Nigerian Crude Oil Reserve Using Real Option Analysis
Full Paper(PDF, 699KB)
Real options analysis is a valuable tool in asset valuation; however, its application in evaluating oil and gas reserves is yet to be widely accepted, though many investigators have presented its potential advantages. This paper demonstrates the applicability and importance of real options analysis in the valuation of a typical Nigerian crude oil reserve. The cost data utilized represent real data for a typical Nigerian oil field. An improved version of the Black and Scholes (BS) model was developed by eliminating the assumption of a constant volatility. Crude oil price data from 1987 to 2012 were analysed with the volatilities of the return on crude oil price computed, and a time series model was developed which replicates this pattern of volatility. This was achieved by the use of a GARCH (General Autoregressive Conditional Heteroskedacity) model. The project was evaluated using the traditional NPV valuation method, the original BS model and the BS model with non-constant volatility. The results obtained using these methods were then compared. The real options valuation method provided the most accurate and reliable estimate of crude oil reserves using the BS model, which incorporates option values for various levels of volatility.
Keywords:Real Options; Valuation; Volatility; Net Present Value; Uncertainty; Crude Oil Reserves
Author: FALODE Olugbenga Adebanjo1, OSHINIBOSI Yetunde Aderonke1
1.Department of Petroleum Engineering, University of Ibadan, Ibadan, Nigeria
  1. Black, F. and Scholes, M., “The Pricing of Options and Corporate Liabilities,” Journal of Political Economy, vol. 81, pp. 637-654, May-June 1973.
  2. Dixit, A. K. and Pindyck, R. S., “Investment under Uncertainty”, Princeton University Press, Princeton, N. J., 1994.
  3. Schulyer, J.R., “Best Practices in Project Evaluation and influence on Company Performance”, Journal of Petroleum Technology, pp. 818-823, August 1997.
  4. Zettl, M., “Valuing exploration and production projects by means of option pricing theory,” paper SPE 62968 presented at the 2002 SPE Annual Technical Conference, Dallas, October 1-4.
  5. Vivian O.O., “Valuation of investments in Oil and Gas: A Real Options Approach”, Providence College, Providence, Rhode island, USA, pp. 1-3, 2002.
  6. Yao,Y.H., “A Case Study for Comparison of Different Real Option Approaches in Petroleum Investments”, paper SPE 101031 presented at the 2006 SPE Asia Pacific oil & Gas Conference and Exhibition, Adelaide, Australia, September 11-13.
  7. Leurhman, T.A., “What’s It worth? A General Manager’s Guide to Valuation”, Harvard Business Review, pp. 132-142, May-June 1997.
  8. Leurhman, T.A., “Investment Opportunities as Real Options: getting Started on the Numbers”, Harvard Business Review, vol. 76, iss. 4, p. 10, p. 12, p. 51 (AN 780213), July-August 1998.
  9. Smith, J.E. and McCardle, K.F., “Options in real World: Lessons Learned in Evaluating Oil and Gas Investments”, Duke University, 1998a, b & c.
  10. Luenberger, D., Investment Science, Oxford Press, 1997.
  11. John T. H, Derek. M and Shashidhar. R; “SmartWell® Valuation Using Real Option Analysis”, Well Dynamics, Inc., USA, 2008
  12. Chaudhury, M. and Jason Z. W, “A Comparative Study of GARCH (1,1) and Black-Scholes Option Prices”, A seminar presented at the 1995 Northern Finance Association Meetings in London, Ontario and the 1996 Financial Management Association Meetings in New Orleans, Louisiana.
  13. Shittu O.I, Yaya, O.S, and Oguntade, E.S, “Modeling volatility of stock returns on the Nigerian stock exchange,” Glob. J. Math. Stat., vol. 1, no. 2, pp. 87-94, 2009.