• Title/Summary/Keyword: Option values

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A Study on Early Termination Payment Option of BTO PPI Projects (BTO 민간투자사업 해지시지급금 매수청구권 가치에 관한 연구)

  • Shin, Sung-Hwan
    • Korean Journal of Construction Engineering and Management
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    • v.12 no.3
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    • pp.121-130
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    • 2011
  • Real option values of early termination payment for selected BTO PPI projects are studied using binomial models. Two cases of early termination payments are considered; an option with the condition of private participants' default, and an option without the condition. Values vary depending upon parameter values such as revenues, costs, discount rates, debt ratio, and volatility of revenues. For selected projects, the option values without the default condition are estimated as 1%~7% of total project costs, whereas the option values with the default condition are estimated as 0%~1.89% of total project cost. When actual revenues differ from the forecasted revenues, apparently the option values deviate from the values based upon the forecasted revenues. When actual revenues fall short of the forecasted revenues, the option values increase by a large amount whereas the option values decrease by a small amount in the opposite case. This implies that the option values can be quite bigger than the values based upon the forecasted revenue especially when the revenue forecast uncertainty is large. This study is expected to play an important role in improving the early termination payment option policy of the government in PPI projects in Korea.

Option and non-use values of rail services (철도의 선택 및 비사용 가치에 관한 연구)

  • Chang, Justin Su-Eun;Kang, Ji-Hye;Lee, Beom-Shin;Yun, Suk-Kang
    • Journal of Korean Society of Transportation
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    • v.26 no.6
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    • pp.143-154
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    • 2008
  • This paper considers option and non-use values of rail services. The total economic value of a given transport service can be classified into use, option and non-use values, other grouping rules can be applied though. The use value is the consumer's surplus from the actual rides of a specific mode. The option value, on the other hand, can be defined as a traveler's willingness to pay for reserving a travel mode, which is not his or her main choice, as a standby alternative. Finally, the non-use value represents benefits that are not attributable to the actual use or option use, but to the vicarious, altruistic, functional and existing worth of a transport service. A stated preference survey based on a double-bounded dichotomous choice is conducted. A survival model is applied to the data collected. Calculations of trip makers' willingness to pay for option and non-use values are based on the parameters of the estimated survival model. Some suggestions for transport appraisal are also presented.

INVESTMENT EVALUATION OF TRANSPORTATION INFRASTRUTURE PROJECTS USING BINOMIAL REAL OPTION MODEL

  • Qiyu Qian;Xueqing Wang;Charles Y.J. Cheah
    • International conference on construction engineering and project management
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    • 2007.03a
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    • pp.563-572
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    • 2007
  • Transportation infrastructure is critical to economic growth of a country such as China. Careful evaluation of investments in traffic infrastructure projects is therefore pertinent. As traditional evaluation methods do not consider the uncertainty of future cash flows and mobility during project execution, the real option approach is gradually gaining recognition in the context of valuing construction and infrastructure projects. However, many of the cases only evaluate individual options separately although multiple options often exist in a typical large infrastructure project. Using a highway project in China as a case study, this paper first evaluates a deferment option and a growth option embedded in the project. Subsequently, the values are combined using the fuzzy analytical hierarchy process. It is found that the combined value is less than the sum of the two option values. This finding is consistent with the theoretical observations given in past real option literature despite the use of a different approach.

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Barrier Option Pricing with Binomial Trees Applying Generalized Catalan Numbers (이항분포모형에 일반화된 카탈란 수를 적용한 배리어 옵션의 가격 산정)

  • Choi, Seung-il
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.17 no.12
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    • pp.226-231
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    • 2016
  • Binomial trees are used to price barrier options. Since barrier options are path dependent, option values of each node are calculated from binomial trees using backward induction. We use generalized Catalan numbers to determine the number of cases not reaching a barrier. We will generalize Catalan numbers by imposing upper and lower bounds. Reaching a barrier in binomial trees is determined by the difference between the number of up states and down states. If we count the cases that the differences between the up states and down states remain in a specific range, the probability of not reaching a barrier is obtained at a final node of the tree. With probabilities and option values at the final nodes of the tree, option prices are computable by discounting the expected option value at expiry. Without calculating option values in the middle nodes of binomial trees, option prices are computable only with final option values. We can obtain a probability distribution of exercising an option at expiry. Generalized Catalan numbers are expected to be applicable in many other areas.

The Valuation of RFID Using Fuzzy Real Option (퍼지실물옵션을 이용한 RFID 투자가치평가)

  • Lee, Young-Chan;Lee, Seung-Seok
    • Knowledge Management Research
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    • v.9 no.4
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    • pp.113-125
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    • 2008
  • Net present value (NPV) and return on investment (ROI) are commonly used to evaluate investment in new technologies. Sometimes, however, measuring the value of investment in new IT becomes very difficult due to its wide scope of application coupled with embedded options in its adoption. Therefore, comprehensive but easily understandable methodologies are needed to solve the complicated problems resulting from the complexity of new technologies. This paper employs a real option analysis to evaluate RFID adoption in the supply chain. Real options analysis should be a better way to evaluate a disruptive technology like RFID. However, the pure (probabilistic) real option rule characterizes the present value of expected cash flows and the expected costs by a single number, which is not realistic in many cases. To solve the problem, this paper considers the real option rule in a more realistic setting, namely, when the present values of expected cash flows and expected costs are estimated by trapezoidal fuzzy numbers.

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Real Option Valuation of a Wind Power Project Based on the Volatilities of Electricity Generation, Tariff and Long Term Interest Rate (발전량, 가격, 장기금리 변동성을 기초로 한 풍력발전사업의 실물옵션 가치평가)

  • Kim, Youngkyung;Chang, Byungman
    • New & Renewable Energy
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    • v.10 no.1
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    • pp.41-49
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    • 2014
  • For a proper valuation of wind power project, it is necessary to consider volatilities of key parameters such as annual energy production, electricity sales price, and long term interest rate. Real option methodology allows to calculate option values of these parameters. Volatilities to be considered in wind project valuation are 1) annual energy production (AEP) estimation due to meteorological variation and estimation errors in wind speed distribution, 2) changes in system marginal price (SMP), and 3) interest rate fluctuation of project financing which provides refinancing option to be exercised during a loan tenor for commercial scale projects. Real option valuation turns out to be more than half of the sales value based on a case study for a FIT scheme wind project that was sold to a financial investor.

Time-dependent Double Obstacle Problem Arising from European Option Pricing with Transaction Costs

  • Jehan, Oh;Namgwang, Woo
    • Kyungpook Mathematical Journal
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    • v.62 no.4
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    • pp.615-640
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    • 2022
  • In this paper, we investigate a time-dependent double obstacle problem associated with the model of European call option pricing with transaction costs. We prove the existence and uniqueness of a W2,1p,loc solution to the problem. We then characterize the behavior of the free boundaries in terms of continuity and values of limit points.

Black-Scholes Option Pricing with Particle Swarm Optimization (Particle Swarm Optimization을 이용한 블랙 슐츠 옵션가격 결정모형)

  • Lee, Ju-Sang;Lee, Sang-Uk;Jang, Seok-Cheol;Seok, Sang-Mun;An, Byeong-Ha
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2005.05a
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    • pp.753-755
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    • 2005
  • The Black-Scholes (BS) option pricing model is a landmark in contingent claim theory and has found wide acceptance in financial markets. However, it has a difficulty in the use of the model, because the volatility which is a nonlinear function of the other parameters must be estimated. The more accurately investors are able to estimate this value, the more accurate their estimates of theoretical option values will be. This paper proposes a new model which is based on Particle Swarm Optimization (PSO) for finding more precise theoretical values of options in the field of evolutionary computation (EC) than genetic algorithm (GA)or calculus-based search techniques to find estimates of the implied volatility.

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A Study on Valuation of Environmental-friendly and Organic Food Company (친환경 유기농 기업의 가치평가에 관한 연구)

  • Yeo, Dong-Su;Hwang, Jae-Hyun
    • Korean Journal of Organic Agriculture
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    • v.20 no.4
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    • pp.543-561
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    • 2012
  • This work is for reasonable valuation method of environmental-friendly and organic company. Reasonable valuation method is principal for the sound development, the reasonable investment and the growth of stock market. This study proposes valid valuation and method for environmental-friendly and organic company. The author selected 4 companies from certificate list of environmental-friendly and organic food and LOHAS (Lifestyles Of Health And Sustainability) food of Korean standards association. Applying financial audit report of 5 years, the author output 5 variables from each companies by using Growth Option model of Real Option model. And the author valuated companies by adding option value calculated with these variables and residual value discounted with cash flow discounted method. Company values from ROV model were 1.71 time higher than DCF model. This results show that the value of environmental-friendly and organic food company may own high option premium, that is the growth factor.

The Multi-Period Opportunity Cost Model to Evaluate an Option Value based on a Deferral Option (연기옵션을 고려한 옵션가치의 일반적 기회비용 모델)

  • Kim, Gyu-Tai
    • IE interfaces
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    • v.18 no.2
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    • pp.184-192
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    • 2005
  • In recent research there has been intense interest in understanding how real option valuation (ROV) approaches might usefully complement conventional discounted cash flow (DCF) techniques. However, investment decision makers in a real world have been worried about adopting the ROV approaches mainly because of difficulty in technically understanding the theory of the ROV approaches as indicated by many researchers. With this difficulty in mind, we propose the opportunity cost model as another discrete-time model to value a deferral option. The main advantage of observing a real options value in terms of the opportunity cost concept is to provide a technique for practitioners to estimate a wide range of real options values without sticking to a financial option modelling. The fundamental ground for developing the opportunity cost model proposed in this paper lies in the work of dissecting the structure of the real options value into three categories: capital gain, expected opportunity loss, and expected opportunity gain. At the end of the paper, we will present a short illustrative example to demonstrate the applicability of the model.