• 재무관리연구
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• 제24권3호
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• pp.91-131
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• 2007

본 연구는 한국유가증권시장에서 사이드카가 차익거래와 비차익거래 종목의 주가, 변동성, 그리고 유동성에 미치는 영향을 분석하였다. 선물시장의 급등락으로부터 현물시장을 보호하려는 목적을 갖는 사이드카는 현재 모든 프로그램매매를 대상으로 하고 있으나, 현재의 제도가 바람직한지에 대해서는 논란의 여지가 있다. 사이드카가 프로그램매매 유형별로 차별적인 효과를 갖는지를 검증하기 위해 프로그램매매를 지수차익거래와 비차익거래로 나누어 사이드카가 주가, 변동성, 그리고 유동성에 미치는 영향을 분석한 결과는 사이드카가 지수차익거래와 비차익거래에 미치는 영향에 뚜렷한 차이가 없음을 보인다. 보다 구체적인 분석을 위해 가상사이드카 표본을 구성하고 실제사이드카와 가상사이드카가 차익거래와 비차익거래에 미치는 효과를 분석하였다. 가상사이드카를 이용한 분석결과는 앞서의 결과가 사이드카 발동이라는 특별한 상황의 발생전후에 시장의 주문이 한 방향으로 몰리는 일시적인 현상에 의해 부분적으로 설명될 수 있음을 보여주며, 사이드카 발동은 비차익거래에 비해 차익거래에 상대적으로 큰 영향을 미치고 비차익거래는 큰 영향을 받지 않음을 보여준다. 이는 비차익거래까지를 포함하는 모든 프로그램매매를 적용대상으로 하는 한국유가증권시장의 사이드카 제도에 대한 재검토가 필요함을 말해주는 것이다.

• Journal of applied mathematics & informatics
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• 제8권3호
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• pp.1001-1007
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• 2001

In this paper, we show the existence of securities protfolio in security model with influx and find the non-arbitrage class of protfolios.

• KIEE International Transactions on Power Engineering
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• 제5A권4호
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• pp.311-321
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• 2005

A competitive generating company (GENCO) could maximize its payoff by optimizing its generation assets. This paper considers the GENCO's arbitrage problem using price-based unit commitment (PBUC). The GENCO could consider arbitrage opportunities in purchases from qualifying facilities (QFs) as well as simultaneous trades with spots markets for energy, ancillary services, emission, and fuel. Given forecasted hourly market prices for each market, the GENCO's generating asset arbitrage problem is formulated as a mixed integer program (MIP) and solved by a branch-and-cut algorithm. A GENCO with 54 thermal and 12 combined-cycle units is considered for analyzing the proposed formulation. The proposed case studies illustrate the significance of simultaneous arbitrage by applying PBUC to multi-commodity markets.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제14권4호
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• pp.249-273
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• 2010

Often in practice, the implied volatility of an option is calculated to find the option price tomorrow or the prices of, nearby' options. To show that one does not need to adhere to the Black- Scholes formula in this scheme, Figlewski has provided a new pricing formula and has shown that his, alternating passive model' performs as well as the Black-Scholes formula [8]. The Figlewski model was modified by Henderson et al. so that the formula would have no static arbitrage [10]. In this paper, we show how to construct a huge class of such static no arbitrage pricing functions, making use of distortions, coherent risk measures and the pricing theory in incomplete markets by Carr et al. [4]. Through this construction, we provide a more elaborate static no arbitrage pricing formula than Black-Sholes in the above scheme. Moreover, using our pricing formula, we find a volatility curve which fits with striking accuracy the synthetic data used by Henderson et al. [10].

• Journal of Electrical Engineering and Technology
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• 제13권1호
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• pp.51-59
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• 2018

Despite the advantages of energy arbitrage using energy storage systems (ESSs), the high cost of ESSs has not attracted storage owners for the arbitrage. However, as the costs of ESS have decreased and the price volatility of the electricity market has increased, many studies have been conducted on energy arbitrage using ESSs. In this study, the existing two-period model is modified in consideration of the ESS cost and risk-free contracts. Optimal investment strategies that maximize the sum of external effects caused by price changes and arbitrage profits are formulated by market participants. The optimal amounts of ESS investment for three types of investors in three different market structures are determined with game theory, and strategies in the form of the mixed-complementarity problem are solved by using the PATH solver of GAMS. Results show that when all market participants can participate in investment simultaneously, only customers invest in ESSs, which means that customers can obtain market power by operating their ESSs. Attracting other types of ESS investors, such as merchant storage owners and producers, to mitigate market power can be achieved by increasing risk-free contracts.

• 재무관리연구
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• 제26권3호
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• pp.65-101
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• 2009

본 연구에서는 한국거래소 내 유가증권시장의 1999년부터 2004년까지의 일중 거래자료에 기초한 프로그램매매종목과 차익거래종목, 그리고 비차익거래종목의 스프레드와 프로그램매매포함횟수의 변화를 분석하여 한국유가증권시장의 프로그램매매중단장치인 사이드카가 정보비대칭을 해소하는 역할을 하는지를 검증하였다. 본 연구의 주요결과를 요약하면 다음과 같다. 첫째, 사이드카 발동 이후 프로그램매매종목의 스프레드가 감소하는 것으로 나타나 사이드카가 정보비대칭을 부분적으로 완화시키는 효과가 있는 것으로 나타났다. 둘째, 사이드카 발동 이후 프로그램매매종목에 나타나는 정보비대칭의 해소효과는 매수프로그램매매종목에 국한하여 나타나는 결과이다. 셋째, 차익거래와 비차익거래에 미치는 효과를 분석한 결과는 사이드카의 발동이 차익거래뿐만 아니라 비차익거래 종목의 스프레드를 줄여 정보비대칭을 해소하는 효과를 가짐을 보여준다. 넷째, 프로그램매매종목에서와 마찬가지로 차익거래와 비차익거래 종목에 나타나나는 정보비대칭해소효과는 매수차익거래와 매수비차익거래에 국한하여 나타난다. 마지막으로 사이드카 발동 전후 각 표본의 프로그램매매 포함횟수의 변화를 분석한 결과에 의하면, 각 표본종목이 프로그램매매에 포함된 횟수는 사이드카 발동 이후에 대부분 증가하는 것으로 나타나, 사이드카 발동에 따른 매매중단기간 동안 정보비대칭이 충분히 해소되지 못하며 사이드카 발동을 가져온 가격의 급등락에 관련된 뉴스가 사건이후에도 지속적으로 영향을 미침을 보여준다.

• 산업경영시스템학회지
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• 제37권4호
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• pp.202-211
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• 2014

Pairs trading is a type of arbitrage investment strategy that buys an underpriced security and simultaneously sells an overpriced security. Since the 1980s, investors have recognized pairs trading as a promising arbitrage strategy that pursues absolute returns rather than relative profits. Thus, individual and institutional traders, as well as hedge fund traders in the financial markets, have an interest in developing a pairs trading strategy. This study proposes pairs trading rules (PTRs) created from a price ratio between securities (i.e., stock index futures) using rough set analysis. The price ratio involves calculating the closing price of one security and dividing it by the closing price of another security and generating Buy or Sell signals according to whether the ratio is increasing or decreasing. In this empirical study, we generate PTRs through rough set analysis applied to various technical indicators derived from the price ratio between KOSPI 200 and S&P 500 index futures. The proposed trading rules for pairs trading indicate high profits in the futures market.

• 대한수학회지
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• 제35권3호
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• pp.659-673
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• 1998

In this paper we consider a security market whose asset price process is a vector semimartingale. The market is said to be fair if there exists an equivalent martingale measure for the price process, deflated by a numeraire asset. It is shown that the fairness of a market is invariant under the change of numeraire. As a consequence, we show that the characterization of the fairness of a market is reduced to the case where the deflated price process is bounded. In the latter case a theorem of Kreps (1981) has already solved the problem. By using a theorem of Delbaen and Schachermayer (1994) we obtain an intrinsic characterization of the fairness of a market, which is more intuitive than Kreps' theorem. It is shown that the arbitrage pricing of replicatable contingent claims is independent of the choice of numeraire and equivalent martingale measure. A sufficient condition for the fairness of a market, modeled by an Ito process, is given.

• 석유와에너지
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• 통권266호
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• pp.54-59
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• 2008

• Industrial Engineering and Management Systems
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• 제9권4호
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• pp.323-338
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• 2010

In this paper, we introduce the implied volatility from Black-Scholes model and suggest a model for constructing implied volatility surfaces by using the two-dimensional cubic (bi-cubic) spline. In order to utilize a spline method, we acquire grid (knot) points. To this end, we first extract implied volatility curves weighted by trading contracts from market option data and calculate grid points from the extracted curves. At this time, we consider several conditions to avoid arbitrage opportunity. Then, we establish an implied volatility surface, making use of the two-dimensional cubic spline method with previously estimated grid points. The method is shown to satisfy several properties of the implied volatility surface (smile, skew, and flattening) as well as avoid the arbitrage opportunity caused by simple match with market data. To show the merits of our proposed method, we conduct simulations on market data of S&P500 index European options with reasonable and acceptable results.