Submitted:
04 November 2024
Posted:
05 November 2024
You are already at the latest version
Abstract
Keywords:
1. Introduction
2. Theoretical Background and Literature Review
2.1. Theoretical Background
2.1.1. Discounted Cash Flow (DCF) method
- Net Present Value (NPV)
- B/C ratio
2.1.2. Real Option Valuation (ROV)
- The concept of real options
- Real option types
- Binomial option model
2.2. Literature Reviews
3. Case Study
3.1. Project Overview
3.2. Project Valuation Using Discounted Cash Flow (DCF)
3.2.1. Cost Data Collection
| Items | Value | Method | Sources & Reference | |
|---|---|---|---|---|
| Facility Stangard | Generation capacity |
100MW | Floating solar power generation using idle space at sea | Assumed based on actual case data |
| Generation hours (hour) |
3.6 | 10-year average solar radiation | [25] | |
| Energy efficiengy | 85% | Assumed to be 85% | [26] | |
| Reduction rate | 1% | Assumed to be 1% | [26] | |
| Cost Data | Construction cost (thousand USD) | 118,116 | Assumed based on actual case data, verified by experts | - |
| O&M cost (million USD) |
1% | Assumed to be 1% of annual sales | [27] | |
| Benefit Data | SMP (USD/kWh) | 0.1 | Average price of summation of SMP and REC data for last 20 years | [27] |
| REC (USD/kWh) | ||||
| REC weight | 1.2 | Installation on water (over 3000kW) | [27] | |
| Financial Cost | Inflation | 3.5% | Last 30 years average inflation data in South Korea | [27] |
| Discount rate | 5% | Recommended by IEA | [28] | |
| Risk-free interest rate | 5% | Average value of the three-year treasury bonds of the South Korea from 2003 to 2023 | [29] | |
3.2.2. Benefit Data Collection
3.2.3. Project Valuation
3.3. Project Valuation Using Real Option Analysis (ROA)
3.3.1. Volatility Estimation
3.3.2. Expansion Option
- Result
3.3.3. Abandonment Option
- Result

| NPV | 11,863 thousand USD |
| ROV(Abandonment) | 2,946 thousand USD |
4. Discussion
5. Conclusions
Author Contributions
Acknowledgments
Conflicts of Interest
Appendix A
| 1. | ![]() |
| Appendix A. python code(expansion) |
Appendix B

Appendix B. python code(abandonment)
References
- Cuce, E.; et al. Floating PVs in Terms of Power Generation, Environmental Aspects, Market Potential, and Challenges. Sustainability 2022, 14(5), 2626. [Google Scholar] [CrossRef]
- Suh, J.; et al. Comparison of Electric Power Output Observed and Estimated from Floating Photovoltaic Systems: A Case Study on the Hapcheon Dam, Korea. Sustainability 2019, 12(1), 276. [Google Scholar] [CrossRef]
- Di Bari, A. A Real Options Approach to Valuate Solar Energy Investment with Public Authority Incentives: The Italian Case. Energies 2020, 13, 4181. [Google Scholar] [CrossRef]
- Shin, J.; et al. "Analyzing public preferences and increasing acceptability for the Renewable Portfolio Standard in Korea. Energy Economics 2014, 42, 17–26. [Google Scholar] [CrossRef]
- Pema, W. APPLICATION OF DEPRECIATION NET PRESENT VALUE AND INTERNAL RATE OF RETURN IN ENGINEERING PROJECTS A BRIEF LITERATURE REVIEW. Journal of Applied Engineering, Technology and Management 2022, 2(1), 25–30. [CrossRef]
- Arrow, K. et al. Determining Benefits and Costs for Future Generations. Science 2013, 341, 349 - 350. [CrossRef]
- Guthrie, G. Real options analysis as a practical tool for capital budgeting. Pacific Accounting Review 2013, 25, 259–277. [Google Scholar] [CrossRef]
- Armstrong, M.; et al. Incorporating technical uncertainty in real option valuation of oil projects. Journal of Petroleum Science and Engineering 2004, 44, 67–82. [Google Scholar] [CrossRef]
- Zdeněk, Z. Generalised soft binomial American real option pricing model (fuzzy-stochastic approach). Eur. J. Oper. Res 2010, 207, 1096–1103. [Google Scholar] [CrossRef]
- Michailidis, A.; Mattas, K. Using Real Options Theory to Irrigation Dam Investment Analysis: An Application of Binomial Option Pricing Model. Water Resources Management 2007, 21, 1717–1733. [Google Scholar] [CrossRef]
- Hauschild, B.; Reimsbach, D. Modeling sequential R&D investments: a binomial compound option approach. Business Research 2015, 8, 39–59. [Google Scholar] [CrossRef]
- Emmanuel, F. S. et al. Performance Measure of Binomial Model for Pricing American and European Options. Appl. Comput. Math 2014, 3(6-1), 18-30. [CrossRef]
- Rambaud, S.C.; Pérez, A.M.S. The option to expand a project: its assessment with the binomial options pricing model. Operations Research Perspectives 2017, 4, 12–20. [Google Scholar] [CrossRef]
- D. Ashton et al. Binomial basis for linear information dynamics: real options, dividends and the valuation of equity. Accounting and Finance 2005, 45, 323-350. [CrossRef]
- Wang, T.; Dyer, J. Valuing Multifactor Real Options Using an Implied Binomial Tree. Decis. Anal 2010, 7, 185–195. [Google Scholar] [CrossRef]
- Leisen, D.; Reimer, M. Binomial models for option valuation - examining and improving convergence. Applied Mathematical Finance 1995, 3, 319–346. [Google Scholar] [CrossRef]
- Zhang, M.et al. Optimal design of subsidy to stimulate renewable energy investments: The case of China. Renewable & Sustainable Energy Reviews 2017, 71, 873-883. [CrossRef]
- Kim, K.T.; et al. Evaluation of R&D investments in wind power in Korea using real option. Renewable & Sustainable Energy Reviews 2014, 40, 335-347. [CrossRef]
- Walsh, D.; et al. When to invest in carbon capture and storage technology: A mathematical model. Energy Economics 2014, 42, 219–225. [Google Scholar] [CrossRef]
- Biondi, B.; et al. The 2015 European Thyroid Association Guidelines on Diagnosis and Treatment of Endogenous Subclinical Hyperthyroidism. Eur Thyroid J. 2015, 4(3), 149–63. [Google Scholar] [CrossRef]
- Siddiqui, A.; Marnay, C. Distributed Generation Investment by a Microgrid under Uncertainty. Energy 2006, 33, 1729–1737. [Google Scholar] [CrossRef]
- Park, H.; Nam, Y. A Real Options Analysis on Fuel Cell Power Plant considering Mean Reverting Process of Electricity Price, Environmental and Resource Economics Review, 2018, 27(4), 613-637. [CrossRef]
- Maeda, M. and Watts, D. The unnoticed impact of long-term cost information on wind farms’ economic value in the USA. – A real option analysis. Applied Energy 2019, 241, 540-547.
- Qu, J.; Jeon, W. Price and subsidy under uncertainty: Real-option approach to optimal investment decisions on energy storage with solar PV. Energy & Environment 2021, 33, 263 - 282. [CrossRef]
- Korea Meteorological Administration. Acailable online: http://data.kma.go.kr.
- Jordan, D.C.; Kurtz, S.R. Photovoltaic Degradation Rates-an Analytical Review. Progress in Photovoltaics: Research and Applications 2013, 21, 12–29. [Google Scholar] [CrossRef]
- Na, S.; Kim, K.; Jang, W.; Lee, C. Real Options Analysis for Land and Water Solar Deployment in Idle Areas of Agricultural Dam: A Case Study of South Korea. Sustainability 2022, 14, 2297. [Google Scholar] [CrossRef]
- International Energy Agency. Available online: https://www.iea.org/reports/world-energy-investment-2024/overview-and-key-findings.
- Ministry of Economy and Finance Korea Treasury Bond. Available online: https://ktb.moef.go.kr/eng/aucResDetail.do?nttId=634&bbsId=BBSMSTR_000000000004.
- Kodukula, P.; Papudesu, C. Project Valuation Using Real Options: A Practitioner's Guide; J. Ross Publishing: Fort Lauderdale, FL, USA, 2006; ISBN 978-193-215-943-1. [Google Scholar]
- Amram, M.; Kulatilaka, N. Real Options: Managing Strategic Investment in an Uncertain World (Financial Management Association Survey and Synthesis), 1st ed.; Oxford University Press: Oxford, UK, 1998; ISBN 978-087-584-845-7. [Google Scholar]
- Kim, K.; Kim, J.S. Economic Assessment of Flood Control Facilities under Climate Uncertainty: A Case of Nakdong River, South Korea. Sustainability 2018, 10, 308. [Google Scholar] [CrossRef]
- Kim, K.; Ha, S.; Kim, H. Using Real Options for Urban Infrastructure Adaptation under Climate Change. J. Clean. Prod. 2017, 143, 40–50. [Google Scholar] [CrossRef]
- Kim, K.; Jeong, H.; Ha, S.; Bang, S.; Bae, D.H.; Kim, H. Investment Timing Decisions in Hydropower Adaptation Projects Using Climate Scenarios: A Case Study of South Korea. J. Clean. Prod. 2017, 142, 1827–1836. [Google Scholar] [CrossRef]
- Oh, S.; Kim, K.; Kim, H. Investment Decision for Coastal Urban Development Projects Considering the Impact of Climate Change: Case Study of the Great Garuda Project in Indonesia. J. Clean. Prod. 2018, 178, 507–514. [Google Scholar] [CrossRef]
- Kim, K.; Park, T.; Bang, S.; Kim, H. Real Options-Based Framework for Hydropower Plant Adaptation to Climate Change. Eng. Manag. J. 2017, 33, 04016049. [Google Scholar] [CrossRef]



| Option Type | Meaning | Application Field |
|---|---|---|
| Deferral | delay the development timing | Construction, Real estate development, etc |
| Expansion/Contraction | expand or contract the scale | Consumer goods, Fashion Industry, etc. |
| Switching Option | change outputs | Petroleum Industry, Chemical Industry, etc. |
| Growth Option | required for additional investments | Social Infrastructure Investment, etc. |
| Abandonment Option | recover operational scale and asset value | Finance, Aviation, Transportation, etc. |
| Staged Option | decide on scale adjustments or withdrawal | Venture Capital, R&D, etc. |
| Compound Option | multiple options coexist | All industries, related projects |
| Parameter | Description |
|---|---|
| Underlying Asset Value | |
| Strike Price | |
| Volatility | |
| Risk-Free Interest rate | |
| Option Life | |
| Time Step | |
| Up Factor | |
| Down Factor | |
| Risk-Neutral Probability |
| REC weight | Installation type | Capacity(kW) |
|---|---|---|
| 1.2 | Installation on the ground | Below 100 |
| 1.0 | 100 ~ 3,000 | |
| 0.8 | Over 3,000 | |
| 1.5 | Installation on the roof of buildings and facilities | Below 3,000 |
| 1.0 | Over 3,000 | |
|
1.6 1.4 1.2 |
Installation on water | Below 100 100 ~ 3000 Over 3000 |
| 1.0 | For self-consumption | |
| NPV | 11,863 thousand USD |
|---|---|
| B/C | 1.1 % |
| Breakeven Period | 7 year |
| Decision | Go (Low returns) |
| Year | SMP (USD/kWh) | REC (USD/kWh) | |
|---|---|---|---|
| 2024 | 0.08 | 0.04 | |
| 2023 | 0.09 | 0.04 | |
| 2022 | 0.08 | 0.05 | |
| 2021 | 0.08 | 0.06 | |
| 2020 | 0.07 | 0.06 | |
| 2019 | 0.08 | 0.05 | |
| 2018 | 0.08 | 0.08 | |
| 2016 | 0.07 | 0.11 | |
| 2015 | 0.09 | 0.08 | |
| 2014 | 0.12 | 0.09 | |
| 2013 | 0.13 | 0.15 | |
| 2012 | 0.14 | 0.15 | |
| Average | 0.09 | 0.08 |
| Parameter | Value |
|---|---|
| 129,979 thousand USD | |
| 70,870 thousand USD | |
| ET | 210 years |
| 35% | |
| 5% | |
| 1 |
| NPV | 11,863 thousand USD |
| ROV(Expansion) | 93,175 thousand USD |
| Parameter | Value |
|---|---|
| 129,979 thousand USD | |
| 47,246 thousand USD | |
| 10 years | |
| 35% | |
| 5% | |
| 1 |
| DCF | Expansion | Abandonment | |
|---|---|---|---|
|
Value (thousand USD) |
11,863 | 93,175 | 2,946 |
Disclaimer/Publisher’s Note: The statements, opinions and data contained in all publications are solely those of the individual author(s) and contributor(s) and not of MDPI and/or the editor(s). MDPI and/or the editor(s) disclaim responsibility for any injury to people or property resulting from any ideas, methods, instructions or products referred to in the content. |
© 2024 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
