• 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.

• Proceedings of the Korean Operations and Management Science Society Conference
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• 2000.04a
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• pp.314-317
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• 2000

금융파생상품인 옵션의 가치평가를 이해하는 데 널리 사용되는 이항분포모형은 다음과 같은 특징을 가지는 것으로 알려져 있다 첫째, 옵션의 가치는 주가의 상승 또는 하락할 확률과는 무관하게 결정된다. 둘째, 옵션의 가치는 투자자의 위험에 대한 태도와는 관계없이 결정된다. 이 논문에서는 옵션의 기초물인 주가가 한기간 후에 상승 또는 하락하는 기본모형에서 옵션의 가치평가가 주가의 변동 확률과 투자자의 위험에 대한 태도와 무관하지 않음을 예제를 통하여 밝히게 될 것이다.

• Korean Journal of Construction Engineering and Management
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• v.15 no.1
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• pp.111-121
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• 2014

The Clean Development Mechanism (CDM) allows New & Renewable Energy projects to make additional income by selling CER's, which represent the amount of Green House Gases(GHG) that is reduced in the project. However, forward contracts used to hedge fluctuating market prices does not allow projects to sell CER's at a premium. As an alternate approach to maximize CER revenue, CER's are modeled as a 'real option', in which CER's are sold only above the desired sales price. Using the Binomial Option Pricing model, the resultant lattices are used to determine whether to sell, defer or abandon the option at individual nodes. Overlaying Pascal's Triangle on the lattices also enabled the calculation of the annual probabilities for deferring CER sales without incurring downside losses. Application to an actual Landfill Gas project showed increased overall NPV, and that CER sales could be deferred at a maximum of 2 years. The proposed framework allows transparency in the analysis and provides valuable and strategical information when making investment decisions related to CER sales of CDM projects.

• Transactions of the Korean hydrogen and new energy society
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• v.25 no.3
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• pp.319-335
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• 2014

This study attempts to suggest an economic analysis model for SNG projects, which can reflect the future uncertainty objectively and applies the real option valuation incorporating the flexible investment decision. Based on this analysis model, net present value and internal rate of return were estimated by using preliminary feasibility study report of SNG project. And economic evaluation of SNG project was performed with real option valuation using binomial option model. Through this, the difference of analysis results between the real option valuation model and the discounted cash flow model were compared and the usefulness of the real option valuation model was confirmed. From the actual proof analysis, it is confirmed that the real option valuation model showed higher SNG project value than the discounted cash flow model did. It was confirmed that by applying the real option valuation model, economic analysis can be performed on not only the current straightforward SNG project, but also various future portfolios having options such as expansion, modification, or decommission.

• 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.

• 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.

• Journal of the Korean Data and Information Science Society
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• v.24 no.4
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• pp.737-753
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• 2013

Interest rate options embedded in life insurance products provide policyholders with minimum guaranteed rates credited to the corresponding surrender values. This paper discusses current low-interest environment and several types of interest rate options embedded in life insurance products. In addition, this paper shows profit structures of the life insurance products and calculates values of the interest rate options under stochastic interest model and the corresponding VaR (value at risk). Finally, some implications are discussed.

• Journal of Korea Port Economic Association
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• v.38 no.2
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• pp.95-107
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• 2022

Shipping companies earn profits through cargo transportation, and therefore, investment decisions to purchase ships are more important than anything else. Nevertheless, the cash flow discount method was mainly used in the economic analysis method, which assumes that all situations are static. This study shows that the real option model is useful in the economic analysis of ship investment. This economic analysis took into account the irreversibility of investment and uncertainty of benefits. In particular, this study used a binary option price determination model among real options. In addition, the simulation was conducted using actual investment data of A shipping company. As a result of the analysis, the investment value of used ships according to the net present value method was analyzed as negative (-), but the investment value in the real option model reflecting the flexibility of decision-making was evaluated as having positive (+) economic feasibility. It was analyzed that economic feasibility is affected by profit volatility and discount rate. Therefore, this study is expected to help shipping companies make more flexible decisions by using the real option model along with the existing net present value method when making ship investment decisions.

• Journal of the Korean Society for Railway
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• v.10 no.2 s.39
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• pp.137-145
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• 2007

In traditional financial theory, the discount cash flow model(DCF or NPV) operates as the basic framework for most analyses. In doing valuation analysis, the conventional view is that the net present value(NPV) of a project is the measure of the present value of expected net cash flows. Thus, investing in a positive(negative) NPV project will increase(decrease) firm value. Recently, this framework has come under some fire for failing to consider the options of the managerial flexibilities. Real option valuation(ROV) considers the managerial flexibility to make ongoing decisions regarding the implementation of investment projects and the deployment of real assets. The appeal of the framework is natural given the high degree of uncertainty that firms face in their technology investment decisions. This paper suggests an algorithm for estimating volatility of logarithmic cash flow returns of real assets based on the Black-Sholes option pricing model, the binomial option pricing model, and the Monte Carlo simulation. This paper uses those models to obtain point estimates of real option value with the G7- HSR350X(high-speed train).

• Korean Journal of Construction Engineering and Management
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• v.17 no.1
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• pp.76-82
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• 2016

Decision-making in construction projects often include options features. Such embedded options are difficult to value properly and many decision makers do not have experience in option analysis. The purpose of this paper is to demonstrate how real option analysis can be used to value capital expenditures on construction materials. We propose a real option framework to evaluate decision-making processes involving the purchase of construction materials. A case study was conducted by evaluating the purchase decision-making of solar cells, a good with high price volatility. Using real option analysis two strategies to improve the financial feasibility of installing a solar panel system were derived. The first strategy involves using a price cap that gives the project manager the right, but not obligation, to buy the modules for a predefined price during the next year. The second strategy is to defer the purchase of the solar cells until future price information becomes clearer. Both of the strategies in the case study were valued using the binominal model. This study will help to improve the financial feasibility of purchasing construction materials with high price volatility by including the value of managerial flexibility.