• Title/Summary/Keyword: 옵션가격결정

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Real Option Analysis on Posco A/R CDM Project under CER Price Uncertainty (CER 가격 불확실성을 고려한 A/R CDM 사업의 실물옵션 분석: 포스코 A/R CDM 사업 분석)

  • Hong, Wonkyung;Park, Hojeong
    • Environmental and Resource Economics Review
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    • v.20 no.3
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    • pp.459-487
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    • 2011
  • A/R CDM project has properties such as irreversibility and uncertainty that Real Option Analysis can be applied to its modelling. This study tries to model A/R CDM using Real Option under CER price uncertainty, and conducts empirical test with the Posco A/R CDM Project case. For precise comparison and decision-making, l-CER's expected present value is calculated from the Spot CER price. As a result, the critical value of the project is lower than the expected l-CER price, which means that the decision to invest made by the project owner is profitable. We can also find out that the level and the range of the discount rate, where is applied to, affect the result; the critical value of the project and the decision-making.

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Time to Invest in Real Asset with Option Pricing Theory - Focused on REITs - (옵션가격결정이론에 기반한 실물자산의 투자시기 결정 - 부동산투자신탁회사(REITs)를 중심으로 -)

  • Jun, Jae-Bum;Lee, Sam-Su
    • Korean Journal of Construction Engineering and Management
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    • v.11 no.6
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    • pp.54-64
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    • 2010
  • A firm decides to go to the project based on its investment analysis. However, the cash flows generated from the real project can not be always coincident with what expected as it follows uncertain behavior and the asymmetric payoff caused by the managerial flexibilities involved in the real asset affects the project value. Amongst various managerial flexibilities entailed in most of the real assets, although investment delay has been known to enhance the project value thanks to its ability to provide new market information to management, the related research to select the time to invest have been just few. Therefore, this research aims to show the theoretical framework to decide when to invest reflecting the behaviors of increasing project value and loss recovery cost due to investment delay with option pricing, related financial economic, and variational theories.

Volatilities in the Won-Dollar Exchange Markets and GARCH Option Valuation (원-달러 변동성 및 옵션 모형의 설명력에 대한 고찰)

  • Han, Sang-Il
    • The Journal of the Korea Contents Association
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    • v.13 no.12
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    • pp.369-378
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    • 2013
  • The Korean Won-Dollar exchange markets showed radical price movements in the late 1990s and 2008. Therefore it provides good sources for studying volatility phenomena. Using the GARCH option models, I analysed how the prices of foreign exchange options react volatilities in the foreign exchange spot prices. For this I compared the explanatory power of three option models(Black and Scholes, Duan, Heston and Nandi), using the Won-Dollar OTC option markets data from 2006 to 2013. I estimated the parameters using MLE and calculated the mean square pricing errors. According to the my empirical studies, the pricing errors of Duan, Black and Scholes models are 0.1%. And the pricing errors of the Heston and Nandi model is greatest among the three models. So I would like to recommend using Duan or Black and Scholes model for hedging the foreign exchange risks. Finally, the historical average of spot volatilities is about 14%, so trading the options around 5% may lead to serious losses to sellers.

A Monte-Carlo Least Squares Approach for CO2 Abatement Investment Options Analysis with Linearly Non-Separable Profits of Power Plants (분리불가 이윤함수를 가진 발전사의 온실가스 감축투자 옵션 연구: 몬테카를로 최소자승법)

  • Park, Hojeong
    • Environmental and Resource Economics Review
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    • v.24 no.4
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    • pp.607-627
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    • 2015
  • As observed and experienced in EU ETS, allowance price volatility is one of major concerns in decision making process for $CO_2$ abatement investment. The problem of linearly non-separable profits functions could emerge when one power company holds several power plants with different technology specifications. Under this circumstance, conventional analytical solution for investment option is no longer available, thereby calling for the development of numerical analysis. This paper attempts to develop a Monte-Carlo least squares model to analyze investment options for power companies under emission trading scheme regulations. Stochastic allowance price is considered, and simulation is performed to verify model performance.

Using the Binomial Option Pricing Model for Strategic Sales of CER's to Improve the Economic Feasibility of CDM projects (이항옵션가격 모형을 활용한 CER 판매전략 구축과 이를 통한 CDM 사업 수익성 향상 방안에 관한 연구)

  • Koo, Bonsang;Park, Jong-Ho;Kim, Cheong-Woon
    • 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.

Numerical studies on approximate option prices (근사적 옵션 가격의 수치적 비교)

  • Yoon, Jeongyoen;Seung, Jisu;Song, Seongjoo
    • The Korean Journal of Applied Statistics
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    • v.30 no.2
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    • pp.243-257
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    • 2017
  • In this paper, we compare several methods to approximate option prices: Edgeworth expansion, A-type and C-type Gram-Charlier expansions, a method using normal inverse gaussian (NIG) distribution, and an asymptotic method using nonlinear regression. We used two different types of approximation. The first (called the RNM method) approximates the risk neutral probability density function of the log return of the underlying asset and computes the option price. The second (called the OPTIM method) finds the approximate option pricing formula and then estimates parameters to compute the option price. For simulation experiments, we generated underlying asset data from the Heston model and NIG model, a well-known stochastic volatility model and a well-known Levy model, respectively. We also applied the above approximating methods to the KOSPI200 call option price as a real data application. We then found that the OPTIM method shows better performance on average than the RNM method. Among the OPTIM, A-type Gram-Charlier expansion and the asymptotic method that uses nonlinear regression showed relatively better performance; in addition, among RNM, the method of using NIG distribution was relatively better than others.

Option Pricing Models with Drift and Jumps under L$\acute{e}$vy processes : Beyond the Gerber-Shiu Model (L$\acute{e}$vy과정 하에서 추세와 도약이 있는 경우 옵션가격결정모형 : Gerber-Shiu 모형을 중심으로)

  • Cho, Seung-Mo;Lee, Phil-Sang
    • The Korean Journal of Financial Management
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    • v.24 no.4
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    • pp.1-43
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    • 2007
  • The traditional Black-Scholes model for option pricing is based on the assumption that the log-return of the underlying asset follows a Brownian motion. But this assumption has been criticized for being unrealistic. Thus, for the last 20 years, many attempts have been made to adopt different stochastic processes to derive new option pricing models. The option pricing models based on L$\acute{e}$vy processes are being actively studied originating from the Gerber-Shiu model driven by H. U. Gerber and E. S. W. Shiu in 1994. In 2004, G. H. L. Cheang derived an option pricing model under multiple L$\acute{e}$vy processes, enabling us to adopt drift and jumps to the Gerber-Shiu model, while Gerber and Shiu derived their model under one L$\acute{e}$vy process. We derive the Gerber-Shiu model which includes drift and jumps under L$\acute{e}$vy processes. By adopting a Gamma distribution, we expand the Heston model which was driven in 1993 to include jumps. Then, using KOSPI200 index option data, we analyze the price-fitting performance of our model compared to that of the Black-Scholes model. It shows that our model shows a better price-fitting performance.

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Estimation of Crude Oil Price Dynamics and Option Valuation (원유가격의 동태성 추정과 옵션가치 산정)

  • Yun, Won-Cheol;Park, Hojeong
    • Environmental and Resource Economics Review
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    • v.14 no.4
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    • pp.943-964
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    • 2005
  • This study estimated a wide range of stochastic process models using the frameworks of CKLS (1992) and Nowman and Wang (2001). For empirical analysis, the GMM estimation procedure is adopted for the monthly Brent crude oil prices from January 1996 to January 2005. Using the simulated price series, European call option premiums were calculated and compared each other. The empirical results suggest that the crude oil price has a strong dependency of volatility on the price level. Contrary to the results of previous related studies, it shows a weak tendency of mean reversion. In addition, the models provide different implications for pricing derivatives on crude oil.

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A Study on The Investment of The Secondhand BulkShip Using Real Option Model (실물옵션을 활용한 중고선박 가치평가연구)

  • Lee, Chong-Woo;Jang, Chul-Ho;Choi, Jung-Suk
    • 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.