Minimum revenue guarantees valuation in PPP projects under a mean reverting process

Zapata Quimbayo, C A; Mejía Vega, C A and Marques, N L (2019) Minimum revenue guarantees valuation in PPP projects under a mean reverting process. Construction Management and Economics, 37(3), pp. 121-138. ISSN 01446193

Abstract

Minimum revenue guarantees, where the government assumes a portion of the traffic risk to guarantee a minimum level of revenue and profitability to the investors, is a standard risk mitigation mechanism for Public-Private Partnership contracts. Typically, valuation models for these guarantees assume that traffic volume follows a geometric Brownian motion under the Real Options Approach. However, this is often done without testing whether this assumption is reasonable or not. In this article, statistical tests are applied to check the validity of this assumption and show how toll road traffic can be modelled under alternate models, such as Mean Reverting processes, if the geometric Brownian motion assumption is rejected. In that sense, this approach is applied to the case of a toll road concession in Colombia where a Mean Reverting process is used to model the traffic. Finally, it is showed that this model is a valid tool for defining the fair value of the minimum amount of revenue secured by the government.

Item Type: Article
Uncontrolled Keywords: government guarantees; real options analysis; stochastic process
Index terms: risk mitigation, real option, real options analysis, guarantee, testing, Colombia, fair value, partnership, validity, toll, revenue, profitability, investor, statistical test
Subjects: design economy, professional practice, contract structure, economic analysis, sociology, partnership management, financial risk, Geography, evaluation and assessment methods, transportation engineering, statistical analysis
Topics: Business Strategy, Research Practice, Geographical Context, Cost Management, Stakeholder Management, Procurement, Design Practice, Engineering Principles
Descriptive scope: 3 PCA

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