An option pricing model with three stochastic variables and its application to risky projects

Segol, G (1990) An option pricing model with three stochastic variables and its application to risky projects. PhD thesis, Golden Gate University, USA.

Abstract

An option-pricing model with three stochastic variables is formulated to represent the problem, faced by an electric utility, of continuing the construction of a partially completed nuclear power plant, or converting it to a fossil-fuel plant. The three stochastic variables in this case are the operating costs of the nuclear and the fossil-fuel facilities, and the remaining construction cost. A numerical solution of the resulting three-dimensional partial differential equation is obtained using the Hopscotch algorithm, and applied to a typical construction project, using reasonable values (industry averages) as input data. This research extends the works of Brennan and Schwartz;$\sp1$ Paddock, Siegel, and Smith;$\sp2$ McDonald and Siegel;$\sp3$ and Majd and Pindyck,$\sp4$ who demonstrated the merits of the option-pricing methodology for capital budgeting. ftn$\sp1$Michael J. Brennan and Eduardo S. Schwartz, "Evaluating Natural Resource Investments," Journal of Business 58, no. 2 (1985):135-57. $\sp2$James L. Paddock, Daniel R. Siegel, and James L. Smith, "Option Valuation of Claims on Real Assets: The Case of Offshore Petroleum Leases," Working paper MIT-EL 83-005WP (revised), Massachusetts Institute of Technology, September 1987. $\sp3$Robert L. McDonald and Daniel R. Siegel, "The Value of Waiting to Invest," Quarterly Journal of Economics 101 (November 1986):707-27. $\sp4$Saman Majd and Robert S. Pindyck, "Time to Build, Option Value, and Investment Decisions," Journal of Financial Economics 18 (1987):7-27.

Item Type: Thesis (Doctoral)
Uncontrolled Keywords: budgeting; capital budgeting; construction cost; investment; nuclear power; pricing
Index terms: investment decision, option, electric utility, operating cost, partial differential equation, natural resource, construction cost, capital budgeting, pricing, lease, methodology, construction project, budgeting, journal, nuclear power
Subjects: environmental resource management, economic analysis, research dissemination and communication, budgeting, research methods, land economics, production management, financial and cost management, energy systems, mathematical modelling, decision analysis, financial management
Topics: Urban Studies, Research Practice, Cost Management, Business Strategy, Sustainability, Risk Management, Project Management, Engineering Principles
Descriptive scope: 4 PCTA

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