• Title/Summary/Keyword: arbitrage

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The mathematical backups in the option pricing theory

  • 김주홍
    • Proceedings of the Korean Society of Computational and Applied Mathematics Conference
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    • 2003.09a
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    • pp.10-10
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    • 2003
  • Option pricing theory developed by Black and Sholes depends on an arbitrage opportunity argument. An investor can exactly replicate the returns to any option on that stock by continuously adjusting a portfolio consisting of a stock and a riskless bond. The value of the option equal the value of the replicating portfolio. However, transactions costs invalidate the Black-Sholes arbitrage argument for option pricing, since continuous revision implies infinite trading, Discrete revision using Black-Sholes deltas generates errors which are correlated with the market, and do not approach zero with more frequent revision when transactions costs are included. Stochastic calculus serves as a fundamental tool in the mathematical finance. We closely look at the utility maximization theory which is one of the main option valuation methods. We also see that how the stochastic optimal control problems and their solution methods are applied to the theory.

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Debt Investment Outflows and Inflows in Korea and Covered Interest Parity Deviation (채권시장 자본유출입과 무위험 금리평형 이탈)

  • Gab-Je Jo
    • Korea Trade Review
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    • v.47 no.1
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    • pp.181-198
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    • 2022
  • This paper investigates the arbitrage effect by the covered interest parity (CIP) deviation, as well as other push or pull factor effect on capital inflows and ouflows in the Korean bond market, by utilizing OLS, TSLS, IRF and VDC in EC model. The sample period covers February 2002 to December 2020. It is found that, the swap basis reflecting the CIP deviations have the significant effects on both debt investment inflows and debt investment outflows. Also, it is found that, the Korean risk factors have decreasing effects on foreigner's investment in the Korean bonds, while the global risk factors have decreasing effects on Korean resident's investment in the foreign bonds.

Using rough set to support arbitrage box spread strategies in KOSPI 200 option markets (러프 집합을 이용한 코스피 200 주가지수옵션 시장에서의 박스스프레드 전략 실증분석 및 거래 전략)

  • Kim, Min-Sik;Oh, Kyong-Joo
    • Journal of the Korean Data and Information Science Society
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    • v.22 no.1
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    • pp.37-47
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    • 2011
  • Stock price index option market has various investment strategies that have been developed. Specially, arbitrage strategies are very important to be efficient in option market. The purpose of this study is to improve profit using rough set and Box spread by using past option trading data. Option trading data was based on an actual stock exchange market tick data ranging from 2001 to 2006. Validation process was carried out by transferring the tick data into one-minute intervals. Box spread arbitrage strategies is low risk but low profit. It can be accomplished by back-testing of the existing strategy of the past data and by using rough set, which limit the time line of dealing. This study can make more stable profits with lower risk if control the strategy that can produces a higher profit module compared to that of the same level of risk.

A Study on Arbitration Qualification of Intellectual Property Right Dispute - Focus on Korea and China - (지적재산권분쟁의 중재적격에 관한 연구 -한국과 중국을 중심으로-)

  • Choi, Song-Za
    • Journal of Arbitration Studies
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    • v.21 no.2
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    • pp.27-46
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    • 2011
  • In the intellectual based society of the 21th century, intellectual property of nation and enterprise management has been the key element of nation's competitiveness and development. Therefore in countries like Korea, China, and many other countries, intellectual property of advancement strategy are being constructed and intellectual properties are protected at national level. Top priority task of protecting the intellectual property is to efficiently resolute intellectual property right disputes. Considering the nature of intellectual property right and arbitrage system, arbitration to solve intellectual property disputes is realistically the best method. However, not all cases of them are qualified. In order to relieve the intellectual property disputes through arbitration, qualification must be obtained. During the process, generally and globally, intellectual property right dispute is evaluated by three parts, intellectual property right contract dispute, intellectual property right violation dispute, and intellectual property right validity dispute. Based on UN's "Convention on the Recognition and Enforcement of Foreign Arbitral Awards Agreement" in 1958, June 10th, in New York, both arbitrage organization and judgment can be approved in both Korea and China countries. However, as of today, there is a big gap of arbitration qualification between two countries, which can be troublesome if intellectual property right disputes arise. For instance, in Korea, intellectual property right contract disputes and intellectual property right violation disputes are both generally accepted as arbitration qualification. However for intellectual property right validity dispute, arbitration qualification is only accepted for non-registered intellectual property as in copyright entity. It does not apply to other registered intellectual property right as in patents. In China, arbitration qualification is accepted for intellectual property right contract dispute, and also accepted for intellectual property right violation dispute to copyrights but restricted to others. As for intellectual property right validity dispute, arbitration qualification is completely denied. Therefore, when there is an intellectual property right dispute between Korea and China, the biggest problem is whether China will accept arbitrage judgments made in Korea. Theoretically, arbitrage judgement made in Korea should be also accepted in China's court. However, considering the criticism of China's passive nature of arbitration qualification for its own local intellectual property right disputes, it's very unlikely they'll actively accept arbitrary judgment made in foreign countries. Korea and China must have a more open minded approach for intellectual property disputes and arbitration qualification. Base on WTO's Intellectual Property Right Agreement, it's being defined as private right. Therefore, sovereign principle should be the basic principle of solving intellectual property right disputes. Currently, arbitration qualification is expanding internationally. So both Korea and China must also follow the trend expand the arbitration qualification with a more open minded and forward looking approach, for the good of intellectual property disputes.

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Determinants of Foreign Investment in the Korean Bonds by Maturity and Market Impacts (외국인의 만기별 국내 채권투자 결정요인과 채권시장 영향)

  • Kim, Dong Soon;Park, Jong Youn
    • International Area Studies Review
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    • v.15 no.1
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    • pp.291-314
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    • 2011
  • We examine the motives of foreigner's investments in the Korean bonds by maturity and try to prove that market impacts are different by their investment maturity. Foreign investors initially focused on short-term bonds, but have expanded to mid- to long-term bonds since 2010. The previous studies found that covered interest arbitrage was the main reason for foreign investment. However, there should be some other reasons as their investment in mid- to long-term bonds might have nothing to do with arbitrage. In the empirical analysis, we found that foreign investment in bonds with less than 2 year maturity is driven by arbitrage as previous studies. However, investment in bonds with 2-5 year maturity is sensitive to the FX volatility and the stock market performance compared with the U.S. and investment in bonds with more than 5 year maturity is driven by the CDS premium differential between Korea and PIIGS countries. The more foreigners have invested mid- to long-term bonds, the stronger downward pressure has been on the bond yields. In addition, foreign investors indirectly affected the spreads. Meanwhile, the government should prepare some policy measures since concerns over side effects such as the Korean won appreciation and an abrupt capital outflow are arising.

The Studies of the Stochastic Duration and the Relationship between Futures and Forward Prices under the Arbitrage-free Interest rate Model (차익거래 기회가 없는 이자율 변동모형 하에서 확률적 평균만기 및 선물가격과 선도가격과의 관계에 관한 연구)

  • Kang, Byong-Ho;Choi, Jong-Yeon
    • The Korean Journal of Financial Management
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    • v.19 no.2
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    • pp.27-48
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    • 2002
  • 본 논문은 이자율의 기간 구조가 차익 거래의 기회가 없도록 움직일 때 새로운 평균만기 측 정치인 AR 평균만기(arbitrage-free duration)을 도출하고 선물가격과 선도가격과의 관계를 분석한다. 지금까지 평균만기에 관한 많은 연구들은 수익률 곡선이 특정한 형태로 이동한다는 가정 하에서 평균만기를 유도하고 이에 근거하여 채권가격의 변동치를 측정하고 있다. 본 논문에서는 기존의 평균만기의 가정을 완화한 AR 평균만기를 도출하였다. 여기서 제시하는 AR 평균만기는 기존의 Macaulay 평균만기를 포함하는 일반화한 측정치라고 할 수 있다. 아울러 본 논문에서는 선물가격과 선도가격사이에 존재하는 이론적 관계를 규명하고자 하였다. 선물가격은 선도가격에 비해 할인된 가격이라는 것을 보이고 이자율 변동위험이 선물가격의 할인정도에 미치는 영향을 모형화 하였다. 최근 들어 선물을 이용한 채권 면역화에 대한 실증연구에 관심이 지속적으로 증가하고 있다. 전통적 실증연구 방법론에서는 먼저, 선물가격과 기초채권 가격사이에 존재하는 분산-공분산 행렬을 추정한다. 그런 후 추정된 분산-공분산 행렬을 바탕으로 이자율 위험 헤징 전략을 수립한 후 이 전략에 대한 실증 분석을 수행하였다. 그러나, 전통적 접근법의 가장 큰 문제는 비안정적(non-stationary)인 분산-공분산 행렬을 적절히 고려할 수 없었다는 점이다. 따라서, 본 연구의 결과를 기반으로 하면 최적의 헷징 전략을 수립하기 위한 이론적 기틀을 수립할 수 있을 것이다.

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Clustering-driven Pair Trading Portfolio Investment in Korean Stock Market (한국 주식시장에서의 군집화 기반 페어트레이딩 포트폴리오 투자 연구)

  • Cho, Poongjin;Lee, Minhyuk;Song, Jae Wook
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.45 no.3
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    • pp.123-130
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    • 2022
  • Pair trading is a statistical arbitrage investment strategy. Traditionally, cointegration has been utilized in the pair exploring step to discover a pair with a similar price movement. Recently, the clustering analysis has attracted many researchers' attention, replacing the cointegration method. This study tests a clustering-driven pair trading investment strategy in the Korean stock market. If a pair detected through clustering has a large spread during the spread exploring period, the pair is included in the portfolio for backtesting. The profitability of the clustering-driven pair trading strategies is investigated based on various profitability measures such as the distribution of returns, cumulative returns, profitability by period, and sensitivity analysis on different parameters. The backtesting results show that the pair trading investment strategy is valid in the Korean stock market. More interestingly, the clustering-driven portfolio investments show higher performance compared to benchmarks. Note that the hierarchical clustering shows the best portfolio performance.

Analyzing the Effect of Changes in the Benchmark Policy Interest Rate Using a Term Structure Model (이자율 기간구조를 이용한 정책금리 변경의 효과 분석)

  • Song, Joonhyuk
    • KDI Journal of Economic Policy
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    • v.31 no.2
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    • pp.15-45
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    • 2009
  • This paper estimates the term structure of interest rates with the setup of 3-factor no arbitrage model and investigates the trend of term premia and the effectiveness of changes in policy interest rates. The term premia are found to be high in a three-year medium term objective, which can be interpreted as reflecting the recognition of investors who expect a higher uncertainty in real activities for the coming three years than for a longer term. Then, in order to look into the effect of policy interest rates after the recent change of benchmark interest rate, this paper analyzes the effects of the changes in short-term interest rates of the financial market on the yield curve of the bond market at time of change. Empirical results show that the discrepancy between call rate, short-term rate in money market, and instantaneous short rate, short-term rate in the bond market, is found to be significantly widened, comparing to the periods before the change in benchmark interest rate. It is not easy to conclude clearly for now whether such a widening gap is caused by the lack of experiences with managing new benchmark interest rate or is just an exceptional case due to the recent turmoil in the global financial market. However, monetary policy needs to be operated in a manner that could reduce the gap to enhance its effectiveness.

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A Multiple Case Study on The Globally Integrated Enterprise (글로벌 통합 기업에 대한 다중 사례 연구)

  • Lee, Jae-Beom;Rho, Mi-Jung
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.11 no.11
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    • pp.4296-4309
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    • 2010
  • Globally Integrated Enterprise(GIE) has recently emerged as a popular concept in multinational enterprises(MNEs). In this paper, we use the AAA triangle in order to explain the degrees of adaptation, aggregation and arbitrage in IBM, P&G and NOKIA. The AAA triangle provides a basis for understanding GIE on the topic. This research also examines IT collaboration in order to provide practical guidance for implementation of AAA triangle. From the case study, several results are derived. First, we suggest a step-by-step approach for GIE to enhance global value creation with a situation. Second, we emphasize the importance of IT collaboration in process of introducing the AAA strategies. We believe that the issues we have raised in this paper will be useful to MNEs. In terms of the AAA triangle, this would be best thought of as a lateral shift to a new area of business, where the organization would have more of a competitive advantage.