Real Option Valuation of Flexibility in Operation and Maintenance Contracts of Water Pipelines Based on Reliability Analysis
Publication: Journal of Infrastructure Systems
Volume 26, Issue 1
Abstract
Pitting corrosion of buried cast iron water pipelines causes damage that cannot be easily detected without advanced monitoring tools. Structural reliability analysis can be used to account for the inherent environmental and mechanical uncertainties of these infrastructures and accurate prediction of their life-cycle performance. In this study, the probabilistic performance of corrosion-affected water pipeline, in terms of the extent of damage, is forecasted using a reliability-based power law model. This performance indicator follows a lognormal process that in turn can be modeled as the underlying geometric Brownian motion with drift for the valuation of maximum expense limit and minimum revenue guarantee clauses of an operation & maintenance (O&M) contract. Binomial trees have been constructed to evaluate the corresponding American real options. This quantitative performance indicator can be used instead of condition state to determine subjectively and qualitatively the severity and extent of damage. Therefore, the merit of this novel integrated analysis is that the valuation of contractual flexibilities is based on accurate reliability-based analysis. It is hoped that the proposed methodology sheds new light onto the development of advanced asset management systems that enable O&M contractual parties a risk-informed negotiation of the contract terms.
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Data Availability Statement
The following data and code generated during the study are available from the corresponding author by request:
1.
MATLAB codes that used to simulate the extent of damage and water loss.
2.
EXCEL spreadsheet that is used to ROV.
References
Adedeji, K., Y. Hamam, B. Abe, and A. Abu-Mahfouz. 2017. “Leakage detection and estimation algorithm for loss reduction in water piping networks.” Water 9 (10): 773. https://doi.org/10.3390/w9100773.
Brandao, L. E. T., and E. Saraiva. 2008. “The option value of government guarantees in infrastructure projects.” Constr. Manage. Econ. 26 (11): 1171–1180. https://doi.org/10.1080/01446190802428051.
Charoenpornpattana, S., T. Minato, and S. Nakahama. 2002. “Government supports as bundle of real options in built-operate-transfer highways projects.” In Proc., 7th Annual Int. Conf. on Real Options. Nicosia, Cyprus: Univ. of Cyprus.
Cheah, C. Y., and J. Liu. 2006. “Valuing governmental support in infrastructure projects as real options using Monte Carlo simulation.” Constr. Manage. Econ. 24 (5): 545–554. https://doi.org/10.1080/01446190500435572.
Chiara, N., M. J. Garvin, and J. Vecer. 2007. “Valuing simple multiple-exercise real options in infrastructure projects.” J. Infrastruct. Syst. 13 (2): 97–104. https://doi.org/10.1061/(ASCE)1076-0342(2007)13:2(97).
Cole, I. S., and D. Marney. 2012. “The science of pipe corrosion: A review of the literature on the corrosion of ferrous metals in soils.” Corros. Sci. 56 (Mar): 5–16. https://doi.org/10.1016/j.corsci.2011.12.001.
Crundwell, F. 2008. Finance for engineers: Evaluation and funding of capital projects. New York: Springer.
Dailami, M., and M. Klein. 1999. Government support to private infrastructure projects in emerging markets, 107–111. Washington, DC: World Bank.
De Neufville, R., S. Scholtes, and T. Wang. 2006. “Real options by spreadsheet: Parking garage case example.” J. Infrastruct. Syst. 12 (2): 107–111. https://doi.org/10.1061/(ASCE)1076-0342(2006)12:2(107).
Estes, A. C., and D. M. Frangopol. 2005. “Load rating versus reliability analysis.” J. Struct. Eng. 131 (5): 843–847. https://doi.org/10.1061/(ASCE)0733-9445(2005)131:5(843).
Farley, M., and R. Liemberger. 2005. “Developing a non-revenue water reduction strategy: Planning and implementing the strategy.” Water Sci. Technol. Water Supply 5 (1): 41–50. https://doi.org/10.2166/ws.2005.0006.
Firouzi, A., and M. Vahdatmanesh. 2019. “Applicability of financial derivatives for hedging material price risk in highway construction.” J. Constr. Eng. Manage. 145 (5): 04019023. https://doi.org/10.1061/(ASCE)CO.1943-7862.0001639.
Firouzi, A., W. Yang, and C.-Q. Li. 2018. “Efficient solution for calculation of upcrossing rate of nonstationary Gaussian process.” J. Eng. Mech. 144 (4): 04018015. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001420.
Frangopol, D. M., and M. Liu. 2007. “Maintenance and management of civil infrastructure based on condition, safety, optimization, and life-cycle cost.” Struct. Infrastruct. Eng. 3 (1): 29–41. https://doi.org/10.1080/15732470500253164.
Garvin, M. J. 2005. “Real options analysis: Can it improve infrastructure development decisions?” In Proc., Construction Research Congress 2005: Broadening Perspectives, 1–12. Reston, VA: ASCE.
Gatti, S. 2008. Project finance in theory and practice: Designing, structuring, and financing private and public projects. Cambridge, MA: Academic Press.
Guthrie, G. A. 2009. Real options in theory and practice. New York: Oxford University Press.
Hadzilacos, T., D. Kalles, N. Preston, P. Melbourne, L. Camarinopoulos, M. Eimermacher, V. Kallidromitis, S. Frondistou-Yannas, and S. Saegrov. 2000. “UtilNets: A water mains rehabilitation decision-support system.” Comput. Environ. Urban Syst. 24 (3): 215–232. https://doi.org/10.1016/S0198-9715(99)00058-7.
Huang, Y. L., and S. P. Chou. 2006. “Valuation of the minimum revenue guarantee and the option to abandon in BOT infrastructure projects.” Constr. Manage. Econ. 24 (4): 379–389. https://doi.org/10.1080/01446190500434997.
Huang, Y.-L., and C.-C. Pi. 2013. “Real-option valuation of build-operate-transfer infrastructure projects under performance bonding.” J. Constr. Eng. Manage. 140 (5): 04013068. https://doi.org/10.1061/(ASCE)CO.1943-7862.0000821.
Jin, X.-H., and G. Zhang. 2011. “Modelling optimal risk allocation in PPP projects using artificial neural networks.” Int. J. Project Manage. 29 (5): 591–603. https://doi.org/10.1016/j.ijproman.2010.07.011.
Li, C. Q., A. Firouzi, and W. Yang. 2017. “Prediction of pitting corrosion–induced perforation of ductile iron pipes.” J. Eng. Mech. 143 (8): 04017048. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001258.
Li, Y. 2004. Effect of spatial variability on maintenance and repair decisions for concrete structures. Delft, Netherlands: Delft University Press.
Martins, J., R. C. Marques, and C. O. Cruz. 2015. “Real options in infrastructure: Revisiting the literature.” J. Infrastruct. Syst. 21 (1): 04014026. https://doi.org/10.1061/(ASCE)IS.1943-555X.0000188.
Mayer, Z., and V. Kazakidis. 2007. “Decision making in flexible mine production system design using real options.” J. Constr. Eng. Manage. 133 (2): 169–180. https://doi.org/10.1061/(ASCE)0733-9364(2007)133:2(169).
Myers, S. C. 1977. “Determinants of corporate borrowing.” J. Finance Econ. 5 (2): 147–175. https://doi.org/10.1016/0304-405X(77)90015-0.
Ng, F. P., and H. C. Björnsson. 2004. “Using real option and decision analysis to evaluate investments in the architecture, construction and engineering industry.” Constr. Manage. Econ. 22 (5): 471–482. https://doi.org/10.1080/01446190310001649074.
Park, T., B. Kim, and H. Kim. 2012. “Impact of deterioration and negotiation on sewer system O&M contracts from the real option perspective.” Water Resour. Manage. 26 (10): 2973–2989. https://doi.org/10.1007/s11269-012-0059-4.
Park, T., B. Kim, and H. Kim. 2013. “Real option approach to sharing privatization risk in underground infrastructures.” J. Constr. Eng. Manage. 139 (6): 685–693. https://doi.org/10.1061/(ASCE)CO.1943-7862.0000636.
Pritchard, P. J., J. W. Mitchell, and J. C. Leylegian. 2016. Fox and McDonald’s introduction to fluid mechanics, binder ready version. Hoboken, NJ: Wiley.
Rajeev, P., J. Kodikara, D. Robert, P. Zeman, and B. Rajani. 2014. “Factors contributing to large diameter water pipe failure.” Water Asset Manage. Int. 10 (3): 9–14.
Rose, S. 1998. “Valuation of interacting real options in a tollroad infrastructure project.” Q. Rev. Econ. Finance 38 (3): 711–723. https://doi.org/10.1016/S1062-9769(99)80098-2.
Scarf, P., R. Cottis, and P. Laycock. 1992. “Extrapolation of extreme pit depths in space and time using the r deepest pit depths.” J. Electrochem. Soc. 139 (9): 2621–2627. https://doi.org/10.1149/1.2221275.
Shan, L., M. J. Garvin, and R. Kumar. 2010. “Collar options to manage revenue risks in real toll public-private partnership transportation projects.” Constr. Manage. Econ. 28 (10): 1057–1069. https://doi.org/10.1080/01446193.2010.506645.
Sheikh, A., J. Boah, and D. Hansen. 1990. “Statistical modeling of pitting corrosion and pipeline reliability.” Corrosion 46 (3): 190–197. https://doi.org/10.5006/1.3585090.
Stephens, M. L., M. F. Lambert, and A. R. Simpson. 2013. “Determining the internal wall condition of a water pipeline in the field using an inverse transient.” J. Hydraul. Eng. 139 (3): 310–324. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000665.
Stewart, M. G., and J. A. Mullard. 2007. “Spatial time-dependent reliability analysis of corrosion damage and the timing of first repair for RC structures.” Eng. Struct. 29 (7): 1457–1464. https://doi.org/10.1016/j.engstruct.2006.09.004.
Stewart, M. G., and Q. Suo. 2009. “Extent of spatially variable corrosion damage as an indicator of strength and time-dependent reliability of RC beams.” Eng. Struct. 31 (1): 198–207. https://doi.org/10.1016/j.engstruct.2008.08.011.
Suttinon, P., A. M. Bhatti, and S. Nasu. 2012. “Option games in water infrastructure investment.” J. Water Resour. Plann. Manage. 138 (3): 268–276. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000168.
World Bank. 2016. “Water and wastewater operations and maintenance agreement—Example 1 | public private partnership.” Accessed June 2, 2019. https://ppp.worldbank.org/public-private-partnership/library/water-and-wastewater-operations-and-maintenance-agreement-example-1.
Xiong, W., and X. Zhang. 2016. “The real option value of renegotiation in public–private partnerships.” J. Constr. Eng. Manage. 142 (8): 04016021. https://doi.org/10.1061/(ASCE)CO.1943-7862.0001130.
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©2019 American Society of Civil Engineers.
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Received: May 26, 2018
Accepted: Jun 20, 2019
Published online: Dec 7, 2019
Published in print: Mar 1, 2020
Discussion open until: May 7, 2020
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