• Journal of applied mathematics & informatics
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• v.6 no.2
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• pp.569-574
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• 1999

In this paper we obtain relation between the heding prices in European and American option and apply to call option.

• Environmental and Resource Economics Review
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• v.18 no.1
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• pp.139-158
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• 2009

With the sample of Middle East crude oil imported to South Korea, this study empirically analyzes the effectiveness of the risk management strategies using derivatives such as futures and options. Assuming the hedging period of one to twelve months, it considers a spot purchasing strategy, 1 : 1 futures hedge strategy, OLS-based minimum-variance futures hedge strategy, buying call option strategy, and collar transaction strategy. According to the ex-ante result, using the derivatives of futures or options makes lower the procurement costs when the crude oil prices is increasing. With the hedging period less than or equal to six months, the hedging strategy using futures turns out to be superior in terms of procurement cost reduction and hedging effectiveness improvement. In contrast, the hedging strategies of buying call option and collar transaction would generate better results when the hedging program last over six months.

• 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.

• International Commerce and Information Review
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• v.9 no.2
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• pp.65-86
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• 2007

This paper reviews the properties and application methods of widely used types of risk measures, identifies the rationale and business-side effects of hedging, derives the theoretical formula of optimal hedging ratio, and analyzes the various functional aspects of VaR(Value-at-risk) as a risk measure and a hedging tool. Especially this paper focuses on the characteristics of VaR compared with other risk measures in terms of their own principal determinants and identifies its stronger aspects in the dimension of hedging strategy tools. As well, this paper provides the detailed processes deriving the optimal hedge ratios based on the distributional parameters and risk factors. In addition, this paper presents the detailed and substantial processes of estimating the minimum variance hedge ratio and minimum-VaR hedge ratio using the actual data and shows that the minimum variance hedge ratio proves helpful for many cases although it is not appropriate for the non-linear portfolio including the option contracts. We demonstrate the trade-off relationship between the minimum variance hedge strategy and the minimum-VaR hedge strategy in their hedging costs and performances through calculation of the respective VaRs and variances of unhedged and hedged portfolios and the optimal hedge ratio and hedging effectiveness values for the given long position in US Dollar with the short position in Euro.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.4 no.2
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• pp.77-84
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• 2000

Black-Scholes equation arising from option pricing in the presence of cost in trading the underlying asset is derived. The transaction cost is chosen precisely and generalized to reflect the trade in the real world. Furthermore the concept of the bandwidth is introduced to obtain the better rehedging. The model with bandwidth derived in this paper can be used to calculate the more accurate option price numerically even if it is nonlinear and more complicated than the models shown before.

• The Korean Journal of Applied Statistics
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• v.26 no.1
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• pp.187-200
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• 2013

In this paper, we deal with the problem of deciding a hedging volatility for ATM plain options when we hedge those options based on geometric Brownian motion. For this, we study the relation between hedging volatility and hedge profit&loss(P&L) as well as perform Monte Carlo simulations and real data analysis to examine how differently hedge P&L is affected by the selection of hedging volatility. In conclusion, using a relatively low hedging volatility is found to be more favorable for hedge P&L when underlying asset prices are expected to be range bound; however, a relatively high volatility is found to be favorable when underlying asset prices are expected to move on a trend.

• Korea Trade Review
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• v.47 no.2
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• pp.103-120
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• 2022

This paper studies the possibility of options as an instrument for central bank to intervene foreign exchange market. As opposed to spot transaction or forward transaction, which impacts spot exchange rate only once, currency options can continuously resist a directional speculative pressure on spot market due to the dynamic delta hedging of OTC currency options market maker. This research also analyzes whether and how central banks can use currency options to lower exchange rate volatility and maintain (implicit) target zones in foreign exchange markets. It argues that short position rather than long position in options will result in market makers dynamically hedging their long option exposure in a stabilizing manner, consistent with the first objective. Selling a "Strangle" allows a central bank to increase the credibility of its commitment to a target zone, and could have a lower expected cost than spot market interventions. However, this strategy also exposes the central bank to an unlimited loss potential. Therefore these kinds of intervention strategies must be used in the short run and temporarily.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.15 no.1
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• pp.1-17
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• 2011

A new method for option pricing based on the trinomial tree method is introduced. The new method calculates the local average of option prices around a node at each time, instead of computing prices at each node of the trinomial tree. Local averaging has a smoothing effect to reduce oscillations of the tree method and to speed up the convergence. The option price and the hedging parameters are then obtained by the compact scheme and the Richardson extrapolation. Computational results for the valuation of European and American vanilla and barrier options show superiority of the proposed scheme to several existing tree methods.

• THE INTERNATIONAL COMMERCE & LAW REVIEW
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• v.55
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• pp.185-208
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• 2012

Before and after the Capital Market Integration Act in 2007 is implemented in South Korea, many of small-and mid sized exporting companies in South Korea has been bankrupted or filed for lawsuit claiming mis-selling(KIKO) by the banks. The basic economic structure of KIKO in Korea are part of a business model based on the use or misuse of exotic derivatives whose results are anything but imaginary. 571 mid sized exporting companies have been damaged about $28 billion. KIKO is a currency option product that sells foreign currencies at higher foreign exchange rate when the rate moves within a certain range, but sells foreign currencies at two or three times lower rate than the market price when the rate exceeds the designated upper limit. KIKO, Therefore, is hard to know whether the non financial firms intended to hedge against further strengthening of their currency or merely to speculate. It is also hard to know how thoroughly they understood the risk-return profile of these transactions. It is similarly hard to ascertain whether the derivatives dealers offering these transactions were meeting the demands of their clients or taking advantage of them. These exotic derivatives were inappropriate for either hedging or speculating, and no knowledgeable investor would be likely to enter into these contracts intentionally.

• Agribusiness and Information Management
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• v.4 no.1
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• pp.24-31
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• 2012

This case study investigates the KIKO currency option that has been a social issue in recent years among developing countries, especially Korea, where the financial derivatives market is in a state of rapid growth. The forward transaction which becomes a basis of derivatives is intended to hedge risks that may be caused by a future change in asset prices. Although it originates from a simple form of agricultural transactions, there currently exists a variety of derivatives in more sophisticated forms. In the Korean agricultural industry, the need to use such derivatives is great, as there is a huge risk of price fluctuation in agricultural products due to frequent adverse weather. In addition, many developing countries with export-led industrial structures similar to Korea's, of necessity must resort to currency hedging as a method of reducing relevant risk. However, in most cases, the lack of understanding about financial derivatives results in an inappropriate application of these derivatives. The KIKO in this study represents such cases. Since 2007, KIKO has been sold in Korea to many small- and medium-sized export companies for the purpose of currency hedging when the exchange rate between the Korean won and the U.S. dollar was in a downward spiral. The main focus of this study is a case which is most representative of KIKO. As inflation rapidly increased during the financial crisis in the U.S. at the end of 2007, derivatives became a hot issue in the courts rather than in the financial markets. This case study investigates what KIKO and the fierce legal debates over it imply, from the perspective of the option of value evaluation in order to suggest not only a direction in which companies can utilize financial derivatives, but also a roadmap for the future derivatives market.