Valuing flexibility: The case of an Integrated Gasification Combined Cycle power plant

In this paper we analyze the choice between two technologies for producing electricity. In particular, the firm has to decide whether and when to invest either in a Natural Gas Combined Cycle (NGCC) power plant or in an Integrated Gasification Combined Cycle (IGCC) power plant, which may burn either coal or natural gas. Instead of assuming that fuel prices follow standard geometric Brownian motions, here they are assumed to show mean reversion, specifically to follow an inhomogeneous geometric Brownian motion. First we consider the opportunity to invest in a NGCC power plant. We derive the optimal investment rule as a function of natural gas price and the remaining life of the right to invest. In addition, the analytical solution for a perpetual option to invest is obtained. Then we turn to the IGCC power plant. We analyse the valuation of an operating plant when there are switching costs between modes of operation, and the choice of the best operation mode. This serves as an input to evaluate the option to invest in this plant. Finally we derive the value of an opportunity to invest either in a NGCC or IGCC power plant, i.e. to choose between an inflexible and a flexible technology, respectively. Depending on the opportunity's time to maturity, we derive the pairs of coal and gas prices for which it is optimal to invest in NGCC, in IGCC, or simply not to invest. Numerical computations involve the use of one- and two-dimensional binomial lattices that support a mean-reverting process for coal and gas prices. Basic parameter values are taken from an actual IGCC power plant currently in operation. Sensitivity of some results with respect to the underlying stochastic process for fuel price is also checked.

[1]  H. He,et al.  Investments in flexible production capacity , 1992 .

[2]  Nalin Kulatilaka,et al.  The value of flexibility: The case of a dual-fuel industrial steam boiler , 1993 .

[3]  L. Trigeorgis,et al.  Project flexibility, agency, and competition : new developments in the theory and application of real options , 2000 .

[4]  Gonzalo Cortazar,et al.  Implementing a stochastic model for oil futures prices , 2003 .

[5]  Medha M. Joshi,et al.  Integrated gasification combined cycle--a review of IGCC technology , 1996 .

[6]  Petter Bjerksund,et al.  Managing Investment Opportunities under Price Uncertainty: From "Last Chance" to "Wait and See" Strategies , 1990 .

[7]  Eduardo S. Schwartz.  The stochastic behavior of commodity prices: Implications for valuation and hedging , 1997 .

[8]  John Parsons,et al.  Alternative Models of Uncertain Commodity Prices for Use with Modern Asset Pricing Methods , 1998 .

[9]  Yu-Fu Chen,et al.  Working Time and Employment Under Uncertainty , 2002, SSRN Electronic Journal.

[10]  Sudipto Sarkar,et al.  The effect of mean reversion on investment under uncertainty , 2003 .

[11]  Irene A. Stegun,et al.  Handbook of Mathematical Functions. , 1966 .

[12]  Michael J. P. Selby,et al.  Stochastic Models and Option Values: Applications to Resources, Environment and Investment Problems. , 1992 .

[13]  A. Kemna.  Case studies on real options , 1993 .

[14]  Neil D. Pearson,et al.  Flexibility versus Commitment in Personnel Management , 2001 .

[15]  鍛治 篤,et al.  書架 「フィナンシャル エンジニアリング」デリバティブ取引とリスク管理の総体系 第5版(OPTIONS,FUTURES,AND OTHER DERIVATIVES 5th Edition) ジョン ハル[著] 三菱証券商品開発本部[訳] 金融財政事情研究会 , 2005 .

[16]  Ehud I. Ronn.  Real Options and Energy Management , 2002 .

[17]  G. Metcalf,et al.  Investment Under Alternative Return Assumptions: Comparing Random Walks and Mean Reversion , 1995 .

[18]  Olivier Herbelot.  Option valuation of flexible investments : the case of environmental investments in the electric power industry , 1992 .

[19]  H. Jacoby,et al.  Reversion, Timing Options, and Long-Term Decision-Making , 1993 .

[20]  D. Siegel,et al.  Option Valuation of Claims on Real Assets: The Case of Offshore Petroleum Leases , 1988 .

[21]  M. Insley.  A Real Options Approach to the Valuation of a Forestry Investment , 2002 .

[22]  S. Bhattacharya.  PROJECT VALUATION WITH MEAN-REVERTING CASH FLOW STREAMS , 1978 .

[23]  Neil D. Pearson,et al.  Option Value, Uncertainty, and the Investment Decision , 2002 .

[24]  Nalin Kulatilaka,et al.  Valuing the flexibility of flexible manufacturing systems , 1988 .

[25]  L. Trigeorgis.  Real Options: Managerial Flexibility and Strategy in Resource Allocation , 1996 .

[26]  Eduardo S. Schwartz,et al.  Investment Under Uncertainty. , 1994 .

[27]  David C. Shimko.  Finance in Continuous Time: A Primer , 1995 .