Modified-Decoupled Net Present Value: The Intersection of Valuation and Time scaling of Risk in Energy Sector

Document Type: Research Article


1 Faculty of Industrial Engineering, K.N.Toosi University of Technology, Tehran, Iran

2 Faculty of Industrial Engineering, K.N.Toosi University of Technology, Tehran,Iran


Although the practical importance of investment analysis in long-term energy investments is well understood, choosing the proper method has always been a dilemma. In this regard, classic evaluation methods, with a history of almost a century, are mostly favored, but using them in the valuation of long-lasting energy projects has particular shortcomings, nevertheless. The drawbacks mainly stem from two structural problems: a) reflecting risk in rate of return instead of cash flow thus summing up risk and time value of money in a single parameter, b) generalizing the predefined rate of return to all project life time regardless of changing nature of risk. To overcome such drawbacks, a new easy-to-implement method termed Modified-Decoupled Net Present Value (M-DNPV) is proposed that intercepts coupling of risk and time value of money by deducting the risky portion of expected cash flows. To cover the dynamic nature of risk and as a buffer against uncertainty, it is suggested to attribute measured risks to investment lifespan using an "uncertainty coefficient”. Finally, the ability of the new method is shown through a complicated energy investment: an Iranian Petroleum Contract (IPC).


Baker, R., and Fox, R. (2003). Capital investment appraisal: a new risk premium model. International Transactions in Operational Research, 10(2), 115-126.
Bekaert, G., Harvey, C. R., Lundblad, C. T., and Siegel, S. (2014). Political risk spreads. Journal of International Business Studies, 471–493.
Bekaert, G., Harvey, C. R., Lundblad, C. T., and Siegel, S. (2016). Political risk and international valuation. Journal of Corporate Finance, 1-23.
Bhattacharya, S. (1978). Project Valuation with Mean-Reverting Cash-Flow Streams. Journal of Finance, 1317-1331.
Block , S. (2007). Are real options actually used in the real world? Engineering Economist, 52(3), 255-267.
Booker, J. M., and Rossb, T. J. (2011). An evolution of uncertainty assessment and quantification. Scientia Iranica, 18(3), 669–676.
Carmichael. (2016). Adjustments within discount rates to cater for uncertainty—Guidelines. The Engineering Economist, 1-14. doi:10.1080/0013791X.2016.1245376
Chiara, N., and Garvin, M. J. (2008). Variance models for project financial risk analysis with applications to greenfield BOT highway projects. Construction Management and Economics, 26(9), 925-939.
Chiaroni, D., Chiesa, M., Chiesa, V., Franzò, S., Frattini, F., and Toletti, G. (2016). Introducing a new perspective for the economic evaluation of industrial energy efficiency technologies: An empirical analysis in Italy. Sustainable Energy Technologies and Assessments, 15(Supplement C), 1-10. doi:
Damodaran, A. (2012). Investment valuation-tools and techniques for determining the value of any asset (pp. 67). Hoboken-New Jersey: John Wiley and Sons.
Dean, J. (1951). Capital Budgeting. Columbia University Press.
Ernst, and Young. Global Limited (2015). Spotlight on oil and gas megaprojects. Retrieved from$FILE/EY-spotlight-on-oil-and-gas-megaprojects.pdf
Espinoza, R. (2014). Separating project risk from the time value of money: A step toward integration of risk management and valuation of infrastructure investments. International Journal of Project Management.
Espinoza, R., and Morris, J. W. F. (2013). Decoupled NPV: a simple, improved method to value. Construction Management and Economics.
Fama, E. F. (1977). Risk-Adjusted Discount Rates and Capital Budgeting Under Uncertainty. Journal of Financial Economics, 3-24.
Fisher, I. (1930). The theory of interest: Kelley and Millman.
Fox, R. (2011). A brief critical history of NPV. Paper presented at the British Accounting Association Conference, Blackpool.
Galway, L. A. (2004). Quantitative risk analysis for project management: a critical review. Working Paper No. WR112-RC, RAND Corporation, Santa Monica.
Ghandi, A., and Lawel, C.-Y. C. L. (2015). On the rate of return  and risk factors to international oil companies in Iran's Buy-back service contracts.
Ghandi, A., and Lin, C.-Y. C. (2014). Oil and gas service contracts around the world: A review. Energy Strategy Reviews, 63-71.
Halliwell, L. J. (2001). A critique of risk-adjusted discounting. Paper presented at the 32nd International Actuarial Studies in Non-Life Insurance Colloquium, Washington,DC.
Hanafizadeh, P., and Latif, V. (2011). Robust net present value. Mathematical and Computer Modelling, 233-242.
Knight, F. (1921). Risk, Uncertainty, and Profit.
Liou, F. M., and Huang, C. P. (2008). Automated approach to negotiations of BOT contracts with the consideration of project risk. Journal of Construction Engineering and Management Science, 134(1), 18-24.
Lo, A. W., and MacKinlay, A. C. (1988). Stock Market Prices Do Not Follow Random Walks: Evidence from a Simple Specification Test The Review of Financial Studies, 1(1), 41-66.
Mian, M. A. (2011). Project Economics and Decision Analysis, Volume 1. Tulsa, Oklahoma: PennWell Corporation.
Miller, L. T., and Park, C. S. (2002). Decision Making Under Uncertainty—Real Options to the Rescue? The Engineering Economist, 47(2), 105-150.
Myers, S., and Turnbul, S. (1977). Capital Budgeting and the Capital Asset Pricing Model: Good News and Bad news. Journal of Finance, 321-333.
PMBOK. (2013). PMBOK Guide – Fifth Edition (pp. 309-354). Pennsylvania: Project Management Institute, Inc.
Pritchard, C. L. (2015). Risk Management-Concepts and Guidance,Fifth Edition-PMP, PMI-RMP, EVP: Taylor and Francis Group.
Robichek, A., and Myers, S. (1966 ). Conceptual problems in the use of risk‐adjusted discount rates. The Journal of Finance, 727–730.
Schmalensee, R. (1981). Risk and Return on Long-Lived Tangible Asset. Jownal of Financial Economic, 185-205.
SHANA (2010). Share of Soroush and Norouz in Increasing Irans Oil Output [Press release]. Retrieved from
Sharpe, W. F. (1964). Capital asset prices: A theory fo market equilibrium under conditions of risk. The Journal of Finance, 19(3), 425-442.
Shimbar, A., and Ebrahimi, S. B. (2017). The application of DNPV to unlock foreign direct investment in waste-to-energy in developing countries. Energy, 132, 186-193.
Shiravi, A., and Ebrahimi, S. N. (2006). Exploration and development of Iran’s oilfields through buyback. Natural Resources, 199-206.
Shiravi, A., and Majd, F. A. (2015). Foreign investment in Iran’s upstream oil and gas operations: a legal perspective. The Journal of World Energy Law and Business.
Van Groenendaal, W. J. H., and Mazraati, M. (2006). A critical review of Iran’s buyback contracts. Energy Policy, 3709-3718.
Wang, J.-N., Yeh, J.-H., and Cheng, N. Y.-P. (2011). How accurate is the square-root-of-time rule in scaling tail risk: A global study. Journal of Banking and Finance, 35(5), 1158-1169.
Ye, S., and Tiong, R. L. (2000). NPV-at-risk method in infrastructure project investment evaluation. Journal of Construction Engineering and Management, 126(3), 227-233.