• Journal of the Korean Statistical Society
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• 제35권2호
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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.

• 경영과학
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• 제31권1호
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• pp.49-61
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• 2014

We investigate the hedging effectiveness of incorporating single-stock futures into the corresponding stocks. Investing in only stocks frequently causes too much risk when market volatility suddenly rises. We found that single-stock futures help reduce the variance and risk levels of the corresponding stocks invested. We use daily prices of Korean stocks and their corresponding futures for the time period from December 2009 to August 2013 to test the hedging effect. We also use system trading technique that uses automatic trading program which also has several simulation functions. Moving average strategy, Stochastic's strategy, Larry William's %R strategy have been considered for hedging strategy of the futures. Hedging effectiveness of each strategy was analyzed by percent reduction in the variance between the hedged and the unhedged variance. The results clearly showed that examined hedging strategies reduce price volatility risk compared to unhedged portfolio.

• 통상정보연구
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• 제9권2호
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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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• 제13권2호
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• pp.87-100
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• 2009

Hedging strategy for European option of jump-type semimartingale asset model, which is derived from stochastic differential equation whose driving process is a jump-type semimartingle, is discussed.

• 자원ㆍ환경경제연구
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• 제26권4호
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• pp.499-517
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• 2017

본 연구는 원유 구매자가 원유를 구매함에 있어 이윤율헤징 전략이 항상 헤징하거나 모두 현물 구매하는 전략에 비해 최적의 구매전략이 될 수 있는지 기대목표효용 함수를 이용하여 이론적으로 분석하고 시뮬레이션을 실시하였다. 또한 선물가격이 평균회귀할 때 이윤율헤징이 최적의 전략이 된다는 이론적 증명을 바탕으로 원유 선물가격의 평균회귀성에 대한 실증분석을 수행하였다. 기대목표효용함수에 대한 시뮬레이션 결과, 원유를 구매함에 있어 이윤율헤징 전략을 사용할 경우 다른 전략을 사용해 구매하는 경우에 비해 더 높은 기대효용을 가져오는 것으로 나타났다. 원유 선물가격의 평균회귀성에 대한 실증분석 결과 평균회귀성을 가진다는 것은 입증할 수 없었다. 그러나 이론적 분석과 시뮬레이션 결과, 원유 선물시장에서 이윤율 헤징을 통한 구매전략이 원유 구매의 최적 전략이 된다고 판단할 수 있었다.

• 자원ㆍ환경경제연구
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• 제18권1호
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• pp.139-158
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• 2009

본 연구에서는 국내로 수입되는 중동산 원유를 대상으로 선불과 옵션 등의 파생상품을 활용한 위험관리 전략의 유용성을 실증분석한다. 헤징기간은 1개월에서 12개월로 가정하고 현물가격으로 조달하는 거래전략과 대비하여 1:1로 선물계약을 매수하는 전략, OLS를 활용한 최소분산 헤지비율로 선물계약을 매수하는 거래전략, 콜옵션을 매수하는 거래전략, 칼라거래를 활용한 거래전략을 고려한다. 사전적 분석결과에 따르면 선물이나 옵션 등 파생상품을 활용하면 유가 상승기에 조달비용을 절감시킬 수 있다. 또한 조달비용의 변동폭을 감소시킬 수 있다. 헤징기간이 6개월 이하에서는 선물계약을 활용하는 것이 조달비용 절감과 헤징효율성 향상 측면에서 유리한 것으로 나타난다. 반면 6개월 이상이 소요될 경우 콜옵션 매수전략과 칼라거래를 활용하는 것이 유리한 것으로 나타난다.

• Korean Journal of Mathematics
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• 제13권1호
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• pp.19-34
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• 2005

Pricing and hedging strategy for European options of jump-type asset models, which are derived from a stochastic differential equations, are discussed.

• 한국경영과학회지
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• 제29권2호
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• pp.45-57
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• 2004

The purpose of this paper is studying the valuation of option prices in Incomplete markets. A market is said to be incomplete if the given traded assets are insufficient to hedge a contingent claim. This situation occurs, for example, when the underlying stock process follows jump-diffusion processes. Due to the jump part, it is impossible to construct a hedging portfolio with stocks and riskless assets. Contrary to the case of a complete market in which only one equivalent martingale measure exists, there are infinite numbers of equivalent martingale measures in an incomplete market. Our research here is focusing on risk minimizing hedging strategy and its associated minimal martingale measure under the jump-diffusion processes. Based on this risk minimizing hedging strategy, we characterize the dynamics of a risky asset and derive the valuation formula for an option price. The main contribution of this paper is to obtain an analytical formula for a European option price under the jump-diffusion processes using the minimal martingale measure.

• Journal of Applied and Pure Mathematics
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• 제4권5_6호
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• pp.287-297
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• 2022

In this paper, we consider a risk-minimization hedging problem for a special European contingent claims. The existence and uniqueness of strategy are given constructively. Firstly, a non-standard European contingent is demonstrated as stochastic payment streams. Then the existence of the risk minimization strategy and also the uniqueness are proved under two kinds market information by using Galtchouk-Kunita-Watanabe decomposition and constructing a 0-achieving strategy risk-minimizing strategies in full information. And further, we have proven risk-minimizing strategies exists and is unique under restrict information by constructing a weakly mean-selffinancing strategy.

• The Journal of Asian Finance, Economics and Business
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• 제8권10호
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• pp.147-158
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• 2021

Due to COVID-19, the risk of price volatility in commodity and equity markets increases. The research and application of hedging is the most effective way to reduce the market risk. Hedging is a risk management strategy employed to offset losses in investments by taking an opposite position in a related asset. We use K-means and hierarchical clustering methods to cluster companies and futures products respectively, and analyze the relationship between the number of hedging firms, regional distribution, nature of firms, capital distribution, company size, profitability, number of local Futures Commission Merchants (FCMs), regional location, and listing time. The study shows that listed companies with large scale and good profitability invest more money in hedging, while state-owned enterprises' participation in hedging is more likely to be affected by the company size and the number of local futures commission merchants, and private enterprises are more likely to be affected by the company profitability and the regional location. Listed companies are more willing to choose long-listed and mature futures products for hedging. We also provide policy advice based on our conclusion. So far, there is no study on the characteristics of hedging. This paper fills the gap. The results provide a basis and guidance for people's investment and risk management. Using clustering analysis in hedging study is another innovation of this paper.