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Probabilistic Cash Flow-Based Optimal Investment Timing Using Two-Color Rainbow Options Valuation for Economic Sustainability Appraisement

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  • Yonggu Kim

    (Graduate School of Engineering Mastership, Pohang University of Science and Technology, 77, Cheongam-ro, Nam-gu, Pohang-si 37673, Korea)

  • Keeyoung Shin

    (Technical Research Laboratories, POSCO, 6261, Donghaean-ro, Nam-gu, Pohang-si 37859, Korea)

  • Joseph Ahn

    (Graduate School of Engineering Mastership, Pohang University of Science and Technology, 77, Cheongam-ro, Nam-gu, Pohang-si 37673, Korea)

  • Eul-Bum Lee

    (Graduate School of Engineering Mastership, Pohang University of Science and Technology, 77, Cheongam-ro, Nam-gu, Pohang-si 37673, Korea)

Abstract

This research determines the optimal investment timing using real options valuation to support decision-making for economic sustainability assessment. This paper illustrates an option pricing model using the Black-Scholes model applied to a case project to understand the model performance. Applicability of the project to the model requires two Monte Carlo simulations to satisfy a Markov process and a Wiener process. The position of project developers is not only the seller of products, but it is also the buyer of raw materials. Real options valuation can be influenced by the volatility of cash outflow, as well as the volatility of cash inflow. This study suggests two-color rainbow options valuation to overcome this issue, which is demonstrated for a steel plant project. The asymmetric results of the case study show that cash outflow (put option) influences the value of the steel plant project more than cash inflow (call option) does of which the discussion of the results is referred to a sensitivity analysis. The real options valuation method proposed in this study contributes to the literature on applying the new model, taking into consideration that investors maximize project profitability for economic sustainable development.

Suggested Citation

  • Yonggu Kim & Keeyoung Shin & Joseph Ahn & Eul-Bum Lee, 2017. "Probabilistic Cash Flow-Based Optimal Investment Timing Using Two-Color Rainbow Options Valuation for Economic Sustainability Appraisement," Sustainability, MDPI, vol. 9(10), pages 1-16, October.
  • Handle: RePEc:gam:jsusta:v:9:y:2017:i:10:p:1781-:d:113882
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    References listed on IDEAS

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    Cited by:

    1. Yonggu Kim & Eul-Bum Lee, 2018. "A Probabilistic Alternative Approach to Optimal Project Profitability Based on the Value-at-Risk," Sustainability, MDPI, vol. 10(3), pages 1-24, March.
    2. Min-Sung Kim & Eul-Bum Lee & In-Hye Jung & Douglas Alleman, 2018. "Risk Assessment and Mitigation Model for Overseas Steel-Plant Project Investment with Analytic Hierarchy Process—Fuzzy Inference System," Sustainability, MDPI, vol. 10(12), pages 1-17, December.
    3. Kyeongseok Kim & Ji-Sung Kim, 2018. "Economic Assessment of Flood Control Facilities under Climate Uncertainty: A Case of Nakdong River, South Korea," Sustainability, MDPI, vol. 10(2), pages 1-17, January.
    4. Yijuan Liang & Xiuchuan Xu, 2019. "Variance and Dimension Reduction Monte Carlo Method for Pricing European Multi-Asset Options with Stochastic Volatilities," Sustainability, MDPI, vol. 11(3), pages 1-21, February.
    5. Jae-Il Yoo & Eul-Bum Lee & Jin-Woo Choi, 2018. "Balancing Project Financing and Mezzanine Project Financing with Option Value to Mitigate Sponsor’s Risks for Overseas Investment Projects," Sustainability, MDPI, vol. 10(5), pages 1-21, May.
    6. Dong-Hyun Kim & Eul-Bum Lee & In-Hyeo Jung & Douglas Alleman, 2019. "The Efficacy of the Tolling Model’s Ability to Improve Project Profitability on International Steel Plants," Energies, MDPI, vol. 12(7), pages 1-18, March.

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