• 제목/요약/키워드: European option

검색결과 68건 처리시간 0.027초

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

  • 윤원철;박호정
    • 자원ㆍ환경경제연구
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    • 제14권4호
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    • pp.943-964
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    • 2005
  • 본 연구는 CKLS (1992)와 Nowman and Wang (2001)을 참고하여 다양한 형태의 확률과정 모형들을 추정하였다. 실증분석에서는 1996년 1월부터 2005년 1월까지의 월간 브렌트(Brent) 유가를 대상으로 일반적 적률법(GMM)을 적용하였다. 또한, 시뮬레이션된 시계열자료를 활용하여 유럽행 콜옵션의 가치를 산정하고, 확률과정 모형별로 비교하였다. 실증분석 결과에 의하면, 원유가격의 경우 가격 수준에 따라 변동성이 크게 좌우된다는 것을 알 수 있다. 하지만, 기존 관련 연구의 결과들과 달리 유가의 평균회귀 성향은 약한 것으로 나타났다. 이와 함께, 본 연구에서 채택한 상이한 확률과정 모형에 따라 원유를 기초자산으로 하는 파생상품의 가치가 달라진다는 것을 알 수 있다.

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THE VALUATION OF TIMER POWER OPTIONS WITH STOCHASTIC VOLATILITY

  • MIJIN, HA;DONGHYUN, KIM;SERYOONG, AHN;JI-HUN, YOON
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제26권4호
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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.

ASSET MODEL INVESTED BY SHORT-SAMPLING INTERVALS

  • Kelley, Joe;Oh, Jae-Pill
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제9권1호
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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.

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Transmission of Traffic Information Using a Terrestrial Digital Multimedia Broadcasting System

  • Cho, Sam-Mo;Kim, Geon;Jeong, Young-Ho;Ahn, Chung-Hyun;Lee, Soo-In;Lee, Hyuck-Jae
    • ETRI Journal
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    • 제28권3호
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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.

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유럽주식회사법의 최근 동향에 관한 연구 (Current Development of Company Law in the European Union)

  • 최요섭
    • 법제연구
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    • 제41호
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    • pp.229-260
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    • 2011
  • 유럽연합에서 회사법 통일의 노력은 리스본조약 이전부터 회사법과 관련한 규칙과 지침을 설정했다는 점에서 중요한 의미를 지닌다. 유럽연합 회사법의 법규범은 자체의 규칙을 통해 유럽주식회사라는 개념을 설정하였으며, 공개유한책임회사인 유럽주식회사와 더불어, 2008년 이후에는 중소기업을 위한 폐쇄유한책임회사에 대한 입법도 추진하고 있다. 최근 유럽주식회사법을 근거로 설립된 회사의 수가 증가되면서 발전된 형태의 회사법에 대한 논의가 활발히 진행되고 있으며, 이는 우리나라 회사법 분야에서도 흥미로운 주제가 된다. 기존의 유럽회사법에 관한 국내연구는 전반적인 유럽회사규칙 및 지침에 대한 내용을 소개하고 있으나, 근래에 이루어지고 있는 회원국 법률간 하향경쟁과 이를 통한 회원국의 입법에서의 변화, 그리고 유럽에서의 회사법연구에 대한 최근 논의에 대해서 다시 다루어 볼 필요가 있다. 따라서 이글에서는 유럽연합조약을 통한 설립의 자유와 이를 통한 각 회원국의 법률 간 경쟁과 유럽주식회사규칙의 제정 배경에 대해서 살펴보고 현재 유럽주식회사규칙의 내용을 평가한다.

KOSPI200 옵션의 내재변동성 추정 (An estimation of implied volatility for KOSPI200 option)

  • 최지은;이장택
    • Journal of the Korean Data and Information Science Society
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    • 제25권3호
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    • pp.513-522
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    • 2014
  • 옵션가격의 결정에 있어서 실제 변동성은 사후에 알 수 있는 정보이므로 대용값으로 내재변동성을 가장 많이 사용하는데 본 연구에서는 동일한 기초자산을 가진 옵션의 잔존만기와 행사가격을 이용하여 내재변동성을 추정하고자 한다. KOSPI200 옵션 데이터와 서포트벡터회귀, 나무모형 및 회귀모형을 통해 모형의 설명력을 평균제곱근오차 (RMSE)와 평균절대오차 (MAE)를 사용하여 살펴보았다. 그 결과 서포트벡터회귀와 MART의 성능이 최소제곱회귀보다 우수한 것으로 나타났으며, 서포트벡터회귀와 MART의 성능은 거의 비슷하였다.

VARIABLE TIME-STEPPING HYBRID FINITE DIFFERENCE METHODS FOR PRICING BINARY OPTIONS

  • Kim, Hong-Joong;Moon, Kyoung-Sook
    • 대한수학회보
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    • 제48권2호
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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.

COMMODITY FUTURES TERM STRUCTURE MODEL

  • Choi, Hyeong In;Kwon, Song-Hwa;Kim, Jun Yeol;Jung, Du-Seop
    • 대한수학회보
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    • 제51권6호
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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.

수세정에 의한 바이오가스 중 이산화탄소의 제거 효율 (Water Scrubbing of Carbon Dioxide for Improving Calorific Values of Biogass)

  • 심재훈;홍성구;권순국
    • 한국농공학회:학술대회논문집
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    • 한국농공학회 2005년도 학술발표논문집
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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.

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최소 자산제약 및 인플레이션을 고려한 자산 할당에 관한 연구 (Optimal Asset Allocation with Minimum Performance and Inflation Risk)

  • 임병화
    • 경영과학
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    • 제30권1호
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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.