Study of the Optimum Level of Financial Participation in Risky Projects for Oil and Gas Exploration and Production

R. Motta, Lorena Alves Damacena Basílio
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Abstract

In this paper it is presented how the application of the Decision Tree technique (DT) with different Utility Functions (UF) and the Certainty Equivalent concept (CE) can reveal the optimal level of financial participation (OLFP) of a given decision maker in risky projects for oil and gas exploration and production. The decision whether or not to participate in an upstream project may lead to either a one-company contract orand association of several companies, with the aim of distributing the risk to levels tolerated. With this in view, this article will apply the Decision Tree (DT) with five types of Utility Functions (UF) with their respective Certainty Equivalents (CE), and discuss the different results obtained, according to the type of UF used: exponential, hyperbolic tangent, logarithmic, square root and linear, the latter being used for the case of risk indifference and the others for decision makers with risk aversion. Each company has its particularities in deciding whether or not to participate in an oil and gas exploration and production project, such as the level os risk aversion or its estimate of reserves available for the next years, given the present production. Each utility function has a distinct behavior and each one of them is presented and discussed some utility functions suiting best each decision maker profile. Additionally, the application of different attitudes towards risk in the successive phases of an upstream project is discussed, as well as Multi-Attribute Utility Theory (MAUT), which can take advantage of the five types of utility function, each one capable of representing a different dimension of the same project (e.g. economic, polytical, environmental, technological, financial). Softwares were used to obtain the graphical and numerical results presented. The results obtained are easily replicable. The novelty is an analysis that compares in detail the use of five utility functions in the study of the optimal level of financial participation in oil and gas exploration projects with risks in a clear and replicable way, applying the results obtained to the profiles of decision makers and explaining certain behaviors in the acquisition and development of oil and gas fields by companies.
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油气勘探生产风险项目中财务参与的最佳水平研究
本文介绍了如何应用具有不同效用函数(UF)的决策树技术(DT)和确定性等效概念(CE)来揭示给定决策者在油气勘探和生产风险项目中的最优财务参与水平(OLFP)。是否参与上游项目的决定可能导致一个公司合同或几个公司的联合,目的是将风险分配到可容忍的水平。鉴于此,本文将运用决策树(DT)与五种类型的效用函数(UF)及其各自的确定性当量(CE),并根据使用的UF类型:指数型,双曲正切型,对数型,平方根型和线性型,讨论得到的不同结果,后者用于风险无差异的情况,其他用于风险厌恶的决策者。每家公司在决定是否参与石油和天然气勘探和生产项目时都有自己的特点,比如风险规避程度,或者根据目前的产量估计未来几年的可用储量。每个效用函数都有不同的行为,并给出了最适合每种决策者的效用函数。此外,讨论了在上游项目的连续阶段中对风险的不同态度的应用,以及多属性效用理论(MAUT),它可以利用五种类型的效用函数,每一种都能够代表同一项目的不同维度(例如经济、政治、环境、技术、金融)。利用软件进行了图形化和数值化处理。所得到的结果很容易复制。新颖之处在于,该分析以一种清晰可复制的方式,详细比较了五种效用函数在研究具有风险的油气勘探项目中财务参与的最佳水平时的使用情况,并将所获得的结果应用于决策者的概况,并解释了公司在油气田收购和开发中的某些行为。
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