• Korean System Dynamics Review
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• v.13 no.2
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• pp.5-23
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• 2012

This paper studies dynamic relationship between cash market, forward market, and options market, from the perspective of systems thinking. It is shown that an exogenous shock to forward market can yield almost the same impact to the cash market, given a practically reasonable condition, but not vice versa. As far as options market is concerned, it matters what kind of options we deal with, who are long the option, and whether the option market maker performs dynamic hedging or not. In some cases, it is possible for the spot price to become unstable and diverge rather violently due to a strong negative feedback between the markets.

• East Asian mathematical journal
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• v.35 no.1
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• pp.59-66
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• 2019

In this paper we study implicit-explicit (IMEX) methods combined with a semi-Lagrangian scheme to evaluate the prices of fixed strike arithmetic Asian options under jump-diffusion models. An Asian option is described by a two-dimensional partial integro-differential equation (PIDE) that has no diffusion term in the arithmetic average direction. The IMEX methods with the semi-Lagrangian scheme to solve the PIDE are discretized along characteristic curves and performed without any fixed point iteration techniques at each time step. We implement numerical simulations for the prices of a European fixed strike arithmetic Asian put option under the Merton model to demonstrate the second-order convergence rate.

• Proceedings of the Korea Information Processing Society Conference
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• 2010.11a
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• pp.388-390
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• 2010

본 논문은 옵션의 표준 이격도를 정의하고, 이격도에 따른 매매 전략을 제시하며, 이의 수익을 분석하였다. 옵션 가격은 내재가치와 시간가치인 프리미엄으로 분리되는데, 프리미엄은 만기일에 가까워질수록 줄어들어 0에 수렴한다. 따라서 행사가와 선물가격과의 차이와 만기일까지의 잔존시간의 두가지 변수에 대한 옵션 평균 가격을 계산해낼수 있다. 그 평균 가격과의 가격 차이를 표준 이격도라 한다. 기본적인 스트랭글 매도 전략에 진입 시점과 청산 시점에 표준 이격도를 사용하였다. 표준 이격도가 높으면 매도 진입하고 표준 이격도가 낮으면 매수 청산하였다. 2010년 9월물을 사용하여 실험한 결과 약 8%의 수익률을 기대할 수 있었다. 향후에 옵션 표준가격을 추출하기 위한 샘플 기간에 대한 연구가 필요하다.

• Management & Information Systems Review
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• v.36 no.3
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• pp.37-49
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• 2017

This study investigates the dynamic relationship between KOSPI200 stock index and stock index futures and stock index option markets which is its derived from KOSPI200 stock index. We use 5-minutes rate of return data from 2012. 06 to 2014. 12. To empirical analysis, this study use autocorrelation and cross-correlation analysis as a preliminary analysis and then following Stoll and Whaley(1990) and Chan(1992), the multiple regression is estimated to examine the lead-lag patterns between the stock index and stock index futures and option markets by Newey and West's(1987) Empirical results of our study shows as follows. First, there exist a strong autocorrelation in the KOSPI200 stock index before 10minutes but a very weak autocorrelation in the stock index futures and option markets. Second, there is a strong evidence that stock index future and option markets lead KOSPI200 stock index in the cross-correlation analysis. Third, based on the multiple regression, the stock index futures and option markets lead the stock index prior to 10-15 minutes and weak evidence that the stock index leads the future and option markets. This results show that the market efficient of KOSPI200 stock index market is improved as compared to the early stage of stock index future and option market.

• Journal of the Korean Statistical Society
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• v.35 no.2
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• pp.115-142
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• 2006

This paper studies the problem of option hedging when the underlying asset price process is a compound Poisson process. By adopting an asymptotic approach to let the security price converge to a continuous process, we find a closed-form hedging strategy that improves the classical Black-Scholes hedging strategy in a quadratic sense. We first show that the scaled Black-scholes hedging error has a limit in law, and that limit is decomposed into a part that can be traded away and a part that is purely unreplicable. The Black-Scholes hedging strategy is then modified by adding the replicable part of its hedging error and by adding the mean-variance hedging strategy to the nonreplicable part. Some results of simulation experiment s are also provided.

• Proceedings of the Korean Operations and Management Science Society Conference
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• 2003.05a
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• pp.381-385
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• 2003

We consider the bandwidth parking problem arising from telecommunication networks The problem is to determine the set of calls to be routed and an assignment or them to the paths in arc capacitated network. The objective is to maximize profit. We formulate the problem as an integer programming and propose an algorithm to solve it. Column generation technique to solve the linear programming relxation is proposed with two types of columns in addition, to obtain an optimum integer solution, we consider a new branching strategy. Computational experiments show that the algorithm gives option at solutions within reasonably small time limits.

• Journal of the Korean Operations Research and Management Science Society
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• v.39 no.2
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• pp.97-109
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• 2014

This paper considers a reverse supply chain with simultaneous recovery of used products and manufacturing of brand-new ones. Recovered products are downgraded and have to be sold in a market different from that of brand-new products at a different price. In case of a shortage of recovered product inventory, a brand-new item, if available, can be offered at the price of a recovered product. In other words, one-way demand substitution is allowed. We address the joint decision of when to manufacture brand-new product, when to recover returned product, and how to control demand substitution to maximize the hybrid production system's profits. To this end, we propose a Markov decision Process model and investigate the structure of the optimal policy. Performance comparison is numerically implemented between the models with and without downward demand substitution option under different operating conditions of the system parameters.

• East Asian Economic Review
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• v.18 no.3
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• pp.301-335
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• 2014

In this paper, we consider a small open economy under the New Keynesian model with unemployment of Gal$\acute{i}$ (2011a, b) to discuss the design of the monetary policy. Our findings can be summarized in three parts. First, even with the existence of unemployment, the optimal policy is to minimize variance of domestic price inflation, wage inflation, and the output gap when both domestic price and wage are sticky. Second, stabilizing unemployment rate is important in reducing the welfare loss incurred by both technology and labor supply shocks. Therefore, introducing the unemployment rate as an another argument into the Taylor-rule type interest rate rule will be welfare-enhancing. Lastly, controlling CPI inflation is the best option when the policy is not allowed to respond to unemployment rate. Once the unemployment rate is controlled, however, stabilizing power of CPI inflation-based Taylor rule is diminished.

• The Journal of the Korea Contents Association
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• v.13 no.6
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• pp.469-480
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• 2013

This study suggests 12 products regarding the pending question of tourism package price mechanism which is linked directly and indirectly to Jeju Tourism, and shows the following conclusions through inspection in mental accounting principles and framing effect based on prospect theory. First, when presenting the price list of the tourism package, it is needed to present in price bundling. Second, it is proven that it is desirable that information about discount prices open the individual discount information of the basic package and option package to public. Third, it is discovered that experienced tourists in purchasing tourism products are more sensitive to price information (price discount) than inexperienced tourists, so that framing effect conform to Knowledge-assembly theory. The current questions of this study are that 'no discount' information should be presented in bundling, that the method of framing is important in presenting discount product information. It is required not only to grasp the viewpoint of modern people in purchasing tourism products, but also to present ready-to-serve products which can save time, effort, cost to give stability in mental accounting principles.

• Journal of applied mathematics & informatics
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• v.23 no.1_2
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• pp.293-310
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• 2007

Recently a risk measure pricing and hedging is replacing a utility-based maximization problem in the literature. In this paper, we treat the optimal problem of risk measure pricing and hedging in the friction market, i.e. in the presence of transaction costs. The risk measure pricing is also verified with the contexts in the literature.