• 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.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.26 no.4
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• pp.296-309
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• 2022

Timer options are one of the contingent claims that, for given the variance budget, its payoff depends on a random maturity in terms of the realized variance unlike the standard European vanilla option with a fixed time maturity. Since it was first launched by Société Générale Corporate and Investment Banking in 2007, the valuation of the timer options under several stochastic environment for the volatility has been conducted by many researches. In this study, we propose the pricing of timer power options combined with standard timer options and the index of the power to the underlying asset for the investors to actualize lower risks and higher returns at the same time under the uncertain markets. By using the asymptotic analysis, we obtain the first-order approximation of timer power options. Moreover, we demonstrate that our solution has been derived accurately by comparing it with the solution from the Monte-Carlo method. Finally, we analyze the impact of the stochastic volatility with regards to various parameters on the timer power options numerically.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.9 no.1
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• pp.31-53
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• 2005

We analyze some real data and, from the background of analysis of data, we define a multi-dimensional jump-type asset model which is derived from short-sampling asset prices. We study some basic properties of this asset model.

• ETRI Journal
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• v.28 no.3
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• pp.364-366
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• 2006

This letter introduces an efficient transmission of traffic information through a terrestrial digital multimedia broadcasting system, which is a multimedia and mobility empowered option of the European digital audio broadcasting system. By adapting Korean characteristic traffic information into the transport protocol expert group messages in the traffic information delivery, a highly efficient traffic information system was implemented and tested in Korea.

• Journal of Legislation Research
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• no.41
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• pp.229-260
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• 2011

European Union (EU) law has been a complex but at the same time fascinating subject of study due to its dynamic evolution. In particular, the Lisbon Treaty which entered into force in December 2009 represents the culmination of a decade of attempts at Treaty reform and harmonisation in diverse sectors. Amongst the EU private law fields, company law harmonisation has been one of the hotly debated issues with regards to the freedom of establishment in the internal market. Due to the significant differences between national provisions on company law, it seemed somewhat difficult to harmonise company law. However, Council Regulation 2157/2001 was legislated in 2001 and now provides the basis for the Statute for a European Company (or Societas Europaea: SE). The Statute is also supplemented by the Council Directive 2001/86 on the involvement of employees. The SE Statute is a legal measure in order to contribute to the internal market, and provides a choice for companies that wish to merge, create a joint subsidiary or convert a subsidiary into an SE. Through this option, the SE became a corporate form which is only available to existing companies incorporated in different Member States in the EU. The important question on the meaning of the SE Statute is whether the distinctive characteristics of the SE make it an attractive option to ensure significant numbers of SE registration. In fact, the outcome that has been made through the SE Statute is an example of regulatory competition. The traditional regulatory competition in the freedom of establishment has been the one between national statutes between Member States. However, this time is not a competition between Member States, which means that the Union has joined the area in competition between legal orders and is now in competition with the systems of company law of the Member States.Key Words : European Union, EU Company Law, Societas Europaea, SE Statute, One-tier System, Two-tier System, Race to the Bottom A quite number of scholars expect that the number of SE will increase significantly. Of course, there is no evidence of regulatory competition that Korea faces currently. However, because of the increasing volume of international trade and expansion of regional economic bloc, it is necessary to consider the example of development of EU company law. Addition to the existing SE Statute, the EU Commission has also proposed a new corporate form, Societas Private Europaea (private limited liable company). All of this development in European company law will help firms make their best choice for company establishment. The Delaware-style development in the EU will foster the race to the bottom, thereby improving the contents of company law. To conclude, the study on the development of European company law becomes important to understand the evolution of company law and harmonisation efforts in the EU.

• Journal of the Korean Data and Information Science Society
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• v.25 no.3
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• pp.513-522
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• 2014

Using the assumption that the price of a stock follows a geometric Brownian motion with constant volatility, Black and Scholes (BS) derived a formula that gives the price of a European call option on the stock as a function of the stock price, the strike price, the time to maturity, the risk-free interest rate, the dividend rate paid by the stock, and the volatility of the stock's return. However, implied volatilities of BS method tend to depend on the stock prices and the time to maturity in practice. To address this shortcoming, we estimate the implied volatility function as a function of the strike priceand the time to maturity for data consisting of the daily prices for KOSPI200 call options from January 2007 to May 2009 using support vector regression (SVR), the multiple additive regression trees (MART) algorithm, and ordinary least squaress (OLS) regression. In conclusion, use of MART or SVR in the BS pricing model reduced both RMSE and MAE, compared to the OLS-based BS pricing model.

• Bulletin of the Korean Mathematical Society
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• v.48 no.2
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• pp.413-426
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• 2011

Two types of new methods with variable time steps are proposed in order to valuate binary options efficiently. Type I changes adaptively the size of the time step at each time based on the magnitude of the local error, while Type II combines two uniform meshes. The new methods are hybrid finite difference methods, namely starting the computation with a fully implicit finite difference method for a few time steps for accuracy then performing a ${\theta}$-method during the rest of computation for efficiency. Numerical experiments for standard European vanilla, binary and American options show that both Type I and II variable time step methods are much more efficient than the fully implicit method or hybrid methods with uniform time steps.

• Bulletin of the Korean Mathematical Society
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• v.51 no.6
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• pp.1791-1804
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• 2014

A new approach to the commodity futures term structure model is introduced. The most salient feature of this model is that, once the interest rate model is given, the commodity futures price volatility is the only quantity that completely determines the model. As a consequence this model enables one to do away with the drudgeries of having to deal with the convenience yield altogether, which has been the most thorny point so far.

• Proceedings of the Korean Society of Agricultural Engineers Conference
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• 2005.10a
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• pp.598-603
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• 2005

Biogas produced from anaerobic digestion processes has about 60% of methane and about 40% of carbon dioxide. Raw biogas can be used in internal combustion engines either spark ignition or diesel engines. Since the gas has relatively low calorific values, engine power also is lower than rated power values. Modified engines or biogas-specific engines have been utilized in order to increase efficiency. Another option is gas cleansing for increasing its calorific values. A couple of European countries adopted this approach in using biogas for one of transportation fuels, such as $CO_2$ scrubbing with water or special solutions. This study reports the results of water scrubbing for reducing $CO_2$ concentration. In 2.5m-high PVC pipe accepting water, $CO_2$ reduction rates were investigated. When flow rate of $CO_2$ and air mixture was about 5 LPM, $CO_2$ concentration was decreased up to 70%. Higher calorific biogas through water scrubbing is expected to be applied to various commercial engines without costly modification.

• Korean Management Science Review
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• v.30 no.1
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• pp.167-181
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• 2013

We investigate the dynamic asset allocation problem under inflation risk when the wealth of an investor is constrained with minimum requirements. To capture the investor's risk preference, the CRRA utility function is considered and he maximizes his expected utility at predetermined date of the refund by participation in the financial market. The financial market is supposed to consist of three kinds of financial instruments which are a risk free asset, a risky asset, and an index bond. The role of an index bond is managing inflation risk represented by price process. The optimal wealth and the optimal asset allocation are derived explicitly by using the method to get the European call option pricing formula. From the numerical results, it is confirmed that the investments on index bond is high when the investor's wealth level is low. However, as his wealth increases, the investments on index bond decreases and he invests on risky asset more. Furthermore, the minimum wealth constraint induces lower investment on risky asset but the effect of the constraints is reduced as the wealth level increases.