• Title/Summary/Keyword: option value

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ADAPTIVE NUMERICAL SOLUTIONS FOR THE BLACK-SCHOLES EQUATION

  • Park, H.W.;S.K. Chung
    • Journal of applied mathematics & informatics
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    • v.12 no.1_2
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    • pp.335-349
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    • 2003
  • Almost all business are affected by the weather so that weather derivatives has been traded to hedge weather risk. Since the weather itself is not an asset with a market price, some analysts believe that the Black-Scholes equation could not be used appropriately to price weather derivative options. But some weather derivatives can be considered as an Asian option, we revisit the Black-scholes model. Numerical solution of the Black-Scholes equation has a significant error at the money option or around the money option, it is necessary to adopt adaptive mesh near to the strike value. Here we propose a numerical method with an adaptive grid refinement.

Economic Feasibility of Forest Biomass Thermal Energy Facility Using Real Option Approach (실물옵션법을 이용한 산림 바이오매스 열공급 시설의 투자 분석)

  • An, Hyunjin;Min, Kyungtaek
    • Journal of Korean Society of Forest Science
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    • v.110 no.3
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    • pp.453-461
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    • 2021
  • The energy use of forest biomass is crucial to deal with climate change and achieve the carbon-neutral goal. This study aims to analyze the economic feasibility of forest biomass thermal energy facilities and calculate the optimal subsidy level of heat supply to ensure continued operation of the facilities. To achieve this aim, the net present value approach (NPV) and call option price model are adopted considering wood chip price volatilities. The Forest Energy Self-Sufficient Village Project financed by Korea Forest Service is considered as the research case study. In our analysis, when 50% of the initial investment is given to the subsidies and RECs are applied to only power generation, NPV and IRR are both negative and the investment value using the real option model is also zero. We concluded that some heat subsidies should be acknowledged to keep the facilities operating. Besides, the simulation results reveal reliable economic values when the heating subsidy is priced at KRW 0.0248 per kcal.

Economic Evaluation for Korea Type of 300 MW IGCC Demonstration Plant Technology Development Project (실물옵션을 활용한 한국형 300 MW급 IGCC 실증플랜트 기술개발사업의 경제성 분석)

  • Eom, Su-Jeong;Nam, Young-Sik
    • Journal of Climate Change Research
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    • v.3 no.4
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    • pp.271-280
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    • 2012
  • The study aims to analyze economic viability of Integrated Gasification Combined Cycle, an innovative technology to utilize clean coal effectively and efficiently in the era of energy crisis. The study is conducted to evaluate business value of 300 MW IGCC demonstration plant technology development based on binomial option, in consideration of uncertainty of fuel price. Binomial option is one of the real option valuation methods, which is ideally suited to irreversible decision making under uncertainty. With this analysis, it shows that investment value is higher compared with economic evaluation based on discounted cash flow, since this method can measure quantity. As a result, this study is proved to be economically feasible, which have a positive impact on the next generation of IGCC and the connection with Carbon Capture and Storage.

Valuation and Optimal Timing of the Investment in Next Generation Telecommunication Service Using Real Options (실물옵션을 이용한 차세대 정보통신 투자사업의 가치 평가 및 최적 투자시기 결정)

  • Lim, Kum-Soon;Lee, Deok-Joo;Kim, Ki-Hong;Oh, Hyung-Sik
    • Journal of Korean Institute of Industrial Engineers
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    • v.32 no.3
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    • pp.180-190
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    • 2006
  • We evaluate the economic value and the optimal investment timing of IMT-2000 in Korea, in the perspective of a service provider who owns the business license for IMT-2000, by using the real options analysis. The result clearly shows the project value with options is positive and delaying the investment is more favorable to the provider. Binomial lattice approach, in which we try to describe American call option and sequential compound option, and sensitivity analysis present the optimal decisions according to future states and enable the management to make decision strategically and proactively.

OPTIMAL SURRENDER TIME FOR A VARIABLE ANNUITY WITH A FIXED INSURANCE FEE

  • Jeon, Junkee;Park, Kyunghyun
    • Bulletin of the Korean Mathematical Society
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    • v.58 no.2
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    • pp.349-364
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    • 2021
  • This paper studies the optimal surrender policies for a variable annuity (VA) contract with a surrender option and a fixed insurance fee for guaranteed minimum maturity benefits (GMMB). In our proposed model, a policyholder pays the fixed insurance fee. Based on the integral transform techniques, we derive the analytic integral equations for the optimal surrender boundary and the value function of the VA contract that can be solved numerically by recursive integration method. We provide numerical values for the value function, the optimal surrender boundary, and the expected optimal surrender time.

Evaluating Economic Feasibility of Solar Power Generation Under the RPS System Using the Real Option Pricing Method: Comparison Between Regulated and Non-regulated Power Providers (실물옵션을 활용한 RPS 실시에 따른 태양광 발전의 경제성 평가: 공급의무 발전사와 일반 발전사와의 비교)

  • Kim, Eun-Man;Kim, Myung-Soo
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.26 no.9
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    • pp.690-700
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    • 2013
  • This study reviewed how the changes of the government policy on solar power generation projects affected the annual mandatory quotas of the regulated power providers under the RPS (renewable portfolio standard) system and analysed economic feasibility of the investment for meeting their quotas as compared to the case of non-regulated power providers. The analysis results showed that under the discount rate of 7.5%, which was used for the annual national electricity plans for the recent years, both the regulated and non-regulated power providers achieved economic feasibility under both the NPV (net present value) method and the real option pricing method. It was also shown that higher profitability was attained by non-regulated power providers than by their regulated counterparts, which can be attributable to the fact that regulated providers are required to out-source 50% of the total quota. The results of this study are considered to be useful for establishing a meaningful mid term or long term strategy for the future of solar power generation linked to the current RPS system.

Valuation of New Growth Businesses by Compound Option Model: Comparison of Solar Cell, Automotive Battery, and Bio-Pharmaceutical (국가 신성장사업의 컴파운드 옵션에 의한 가치평가: 태양전지, 자동차용 전지, 바이오제약의 비교)

  • Kwon, Oh-Sang
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.12 no.7
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    • pp.3016-3021
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    • 2011
  • While there is ample information on the investment plans about Korea's selected new growth businesses, it is hard to find any analysis on the valuation of the projects. In this paper, I intend to do a valuation for the three particular technologies, which are solar cell, automotive battery, and bio-pharmaceutical, based on compound option model so that the valuation can capture not only the expected net cash flow but also the value originated from the flexibility of the decision maker. In addition, the real option pricing theory is reviewed and its practical limitations are thoroughly investigated.

VALUATION OF A MULTI-STAGE RAINWATER HARVESTING TANK CONSTRUCTION USING A REAL OPTION APPROACH

  • Byungil Kim;Hyoungkwan Kim;SangHyun Lee
    • International conference on construction engineering and project management
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    • 2013.01a
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    • pp.386-389
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    • 2013
  • Under climate change and urbanization, rainwater harvesting (RWH) systems are emerging as an alternative source of water supply because of growing concern about water sustainability. RWH systems can satisfy the various watering needs and provide the environmental benefits of lessening the damages from flood, drought, and runoff. The economic success of a RWH system is vitally concerned with the determination of the design capacity of storage tank to be built in the system. The design capacity is determined by the factors of average annual rainfall, period of water scarcity, and water price during the whole life-cycles. Despite the high uncertainties inherent in these factors, the current engineering design of RWH system construction often assumes that storage tanks should be built all at once. This assumption implicitly ignores the managerial flexibility in responds to the future as new information comes out-the right to build storage tanks stage by stage depending on the evolution of demand. This study evaluates the value of a multistage storage tank construction using a real option approach. A case study involving a typical RWH system construction in Jeonju, the Republic of Korea is conducted. The managerial flexibility obtained from the real option perspective allows engineers to develop investment strategies to better cope with the issue of water sustainability.

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Market Risk Premium in Korea: Analysis and Policy Implications (한국의 시장위험 프리미엄: 분석과 시사점)

  • Se-hoon Kwon;Sang-Buhm Hahn
    • Asia-Pacific Journal of Business
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    • v.15 no.2
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    • pp.71-88
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    • 2024
  • Purpose - This study provides an overview of existing research and practices related to market risk premiums(MRP), and empirically estimates the MRP in Korea, particularly using the related option prices. We also seek to improve the current MRP practices and explore alternative solutions. Design/methodology/approach - We present the option price-based MRP estimation method, as proposed by Martin (2017), and implement it within the context of the Korean stock market. We then juxtapose these results with those derived from other methods, and compare the characteristics with those of the United States. Findings - We found that the lower limit of the MRP in the Korean stock market shows a much lower value compared to the US. There seems to be the possibility of a market crash, exchange rate volatility, or a lack of option trading data. We investigated the predictive power of the estimated values and discovered that the weighted average of the results of various methodologies using the Principal Component Analysis (PCA) is superior to the individual method's results. Research implications or Originality - It is required to explore various methods of estimating MRP that are suitable for the Korean stock market. In order to improve the estimation methodology based on option prices, it is necessary to develop the methods using the higher-order(third order or above) moments, or consider additional risk factors such as the possibility of a crash.

Estimating Profitability of Private Finance Investment Using Real Option : Quantifying Value of Overturn Share Ratio and Minimum Revenue Guarantee (실물옵션에 의한 민간투자사업 사업타당성 평가 : 초과수익분배비율 및 최소수입보장비율 가치 정량화)

  • Jung, Woo-Yong;Koo, Bon-Sang;Han, Seung-Heon
    • Proceedings of the Korean Institute Of Construction Engineering and Management
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    • 2008.11a
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    • pp.606-609
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    • 2008
  • Traditionally, the feasibility of the private investment is determined by NPV(Net Presented Value) based on DCF(Discounted Cash Flow) and the volume of government's subsidiary without quantifying the effect of overturn share ratio and MRG(Minimum Revenue Guarantee), these variables which can seriously effect on the economic feasibility. One of the most important reasons why these variables are not underestimated is that the quantifying methods are insufficiently or so complicatedly studied to apply practically the real project. Therefore, this study suggests the modified binominal option model to estimate the overturn share ratio and MRG and estimates how much these variables impact the private investment. Also, these results are helpful to estimate how much the government's subsidiary can be reduced.

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