• Journal of applied mathematics & informatics
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• 제41권1호
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• pp.33-50
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• 2023

Foreign exchange options are derivative financial instruments that can exchange one currency for another at a prescribed exchange rate on a specified date. In this study, we examine the analytic formulas for vulnerable foreign exchange options based on multi-scale stochastic volatility driven by two diffusion processes: a fast mean-reverting process and a slow mean-reverting process. In particular, we take advantage of the asymptotic analysis and the technique of the Mellin transform on the partial differential equation (PDE) with respect to the option price, to derive approximated prices that are combined with a leading order price and two correction term prices. To verify the price accuracy of the approximated solutions, we utilize the Monte Carlo method. Furthermore, in the numerical experiments, we investigate the behaviors of the vulnerable foreign exchange options prices in terms of model parameters and the sensitivities of the stochastic volatility factors to the option price.

• 대한수학회논문집
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• 제32권2호
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• pp.467-477
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• 2017

This paper is about the derivations of local volatilities for European quanto call option prices according to various types of payoffs. We derive the explicit formulas of local volatilities with constant foreign and domestic interest rates by adapting the method of Derman-Kani.

• 무역학회지
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• 제47권2호
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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.

• 한국콘텐츠학회논문지
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• 제13권12호
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• pp.369-378
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• 2013

원-달러 장외 외환 시장은 1990년말 외환위기 및 2008년 서브프라임 위기때 극심한 변동성을 보였으므로 변동성 연구에 적합한 특성을 띤다. 본고는 ARCH 모형에 기반해 옵션 가격 결정 모형을 제시한 Duan, Heston and Nandi의 GARCH 모형으로 외환 옵션 시장에서 변동성의 특성이 옵션 가격에 반영되는 정도를 분석해 보았다. 2006년 5월부터 2013년 1월까지 원-달러 장외시장에서 거래되는 옵션 자료에 대해 본고는 세 가지 모형(Black and Scholes, Duan, Heston and Nandi)간의 설명력을 비교했다. 최우추정법으로 계산된 모수를 고정하고 전일 내재 변동성을 이용하여 당일의 이론 가격을 구해 오차를 계산하면 Duan 및 Black and Scholes 모형 모두 약 0.1% 수준을 보인다. 다만 Heston and Nandi는 상기 두 모형에 비해 큰 오차값을 가지며 또한 만기가 길어지면 설명력이 약해진다. 따라서 원-달러 외환 옵션시장의 경우 Duan 또는 Black and Scholes 모형을 이용하여 가치를 측정하는 것이 유용할 것으로 사료된다. 또한 정책적 시사점으로는 외환 현물 시장의 과거 변동성 평균이 14% 전후에서 형성되었으므로 내재 변동성 5%전후에서 외환 옵션 등을 매매하는 것은 매도자에게 대규모 손실을 초래할 수 있다.

• 유통과학연구
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• 제13권2호
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• pp.15-24
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• 2015

Purpose - Foreign exchange risk control is in an important component in the international supply chain management. This study shows the importance of the reference period in forecasting future exchange rates with a specific illustration of KIKO currency option contracts, and suggests feasible preventive measures. Research design, data, and methodology - Using monthly Won-Dollar exchange rate data for January 1995~July 2007, I evaluate the statistical characteristics of the exchange rate for two sub-periods; 1) a shorter period after the East Asian financial crisis and 2) a longer period including the financial crisis. The key instrument of analysis is the basic normal distribution theory. Results - The difference in the reference period could lead to an unexpected development in contract implementation and a consequent financial loss. We may avoid foreign exchange loss by using derivatives such as forwards or currency options. Conclusions - We should consider not only level values but also the volatilities of financial variables in making a binding financial contract. Appropriate measures may differ depending on the specific supply chain pattern. We may extend the study with surveys on actual risk measures.

• 대한수학회논문집
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• 제31권1호
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• pp.199-207
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• 2016

A chained option is a barrier option activated in the event that the underlying asset price crosses barrier or barriers prior to maturity in a specified order. In this paper, we study the pricing of chained options with the quanto property called the "Quanto chained option". A quanto chained option is a chained option starting at time when the foreign exchange rate has the multiple crossing of specified barriers. We provide closed-form formulas for valuing the quanto chained options based on probabilistic approach.

• 가정과삶의질연구
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• 제28권3호
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• pp.81-95
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• 2010

The purpose of this study was to examine the dissatisfaction level of consumers buying foreign goods through Internet shopping malls and their complaint behavior. As there is growing demand for foreign brands along with a rapid increase in the Internet user population, a lot of ongoing studies have focused on Internet-based transaction. The dissatisfaction level of selected consumers was checked in terms of system, price, quality, information/hype, shipping and refund/exchange, and it's found that complaint behavior linked to refund/exchange was most prevalent. The most dominant way for them to respond to such situations was talking friends, relatives or neighbors about that. And they had an intention to buy foreign goods through Internet shopping malls again to greater or lesser extents, though they were unsatisfied. It indicates that the consumers didn't have a wide option in the consumer market.

• 재무관리연구
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• 제20권1호
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• pp.305-329
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• 2003

본 연구는 1987년 1월 5일부터 2001년 12월 28일까지의 일별 및 월별 자료를 가지고 미국 달러화와 일본 엔화가 기업의 주식수익률에 미치는 영향 및 비대칭성을 분석하였다. 일별 자료에 대해서는 오차항의 이분산을 고려해 자기회귀와 GARCH 계열 모형을 사용하였으며, 월별 자료에 대해서는 자기회귀모형을 사용했다. 전체기간 및 하위기간에 대한 분석결과는 일별 자료가 월별 자료에 비해 환노출을 발견하는 데 보다 탁월하다는 것을 보여주고 있다. 또한 EGARCH(1, 1)와 GJR-GARCH(1, 1)로 일별 자료를 분석하는 것이 보다 높은 설명력을 갖는 것으로 나타났다. 한편, 노출된 기업의 대부분에서 음의 환노출이 발견되고 있다. 이는 우리나라 기업의 주식수익률은 환율인상에 대해서는 부정적 영향을, 환율인하에 대해서는 긍정적 영향을 받는 것으로 해석할 수 있다. 비대칭성에 대한 분석 결과는 우리나라 기업은 대부분 비대칭적 환노출에 직면하고 있으며, 실물옵션이론보다는 시장중시가격이론이 보다 설득력이 있다는 결론을 제시해주고 있다. 또한 월별 자료가 일별 자료에 비해 비대칭 분석을 정확히 할 수 있는 것도 발견되었다.

• 동아시아경상학회지
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• 제6권4호
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• pp.1-12
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• 2018

Purpose - This paper tests the effect of the structure of manufacturing and marketing subsidiary network on FX exposure of Korean MNEs. Furthermore, the moderating effect of pass-through ability on the relationship between the subsidiary network and FX exposure is explored. Research design and methodology - This study utilizes a sample of 309 Korean MNEs constructed from database offered by KOTRA and KIS-VALUE. Results - As operational flexibility arising from having operations in multiple locations provides an option for firms to tackle FX exposure, greater breadth of manufacturing subsidiary network reduces FX exposure, and greater depth increases FX exposure. However, both the breadth and depth of marketing subsidiary network decrease FX exposure due to the firm's higher level of market presence and knowledge to devise an appropriate marketing strategy that can buffer adverse exchange rate movement. Such an effect is intensified when MNE's have FX exposure pass-through ability stemming from differentiated good. Conclusions - Empirical findings suggest that types and structure of Korean MNEs' foreign subsidiary network are closely related to the level of FX exposure they are experiencing. Also, they can utilize marketing subsidiary network more efficiently when having a higher R&D intensity.

• 아태비즈니스연구
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• 제14권4호
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• pp.319-330
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• 2023

Purpose - The purpose of this paper is to examine the connectedness between categorical economic policy uncertainty (monetary, fiscal, trade and foreign exchange policy uncertainty) indexes and option-implied volatility index in Korea, Japan and the US. Design/methodology/approach - This paper employs the Diebold-Ylmaz (2012) model based on a VAR and generalized forecast error variance decomposition. This paper also conducts regression analyses to investigate whether the volatility indexes are explained by categorical policy uncertainty indexes. Findings - First, we find the total connectedness is stronger in Korea and Japan relative to the US. Second, monetary, fiscal, and foreign exchange policy uncertainty indexes are connected to each other but trade policy uncertainty index is not. Third, the volatility index in Japan and the US is mainly associated with monetary policy uncertainty while the volatility index in Korea is explained by fiscal policy uncertainty index. Research implications or Originality - To our knowledge, this is the first study to investigate the connectedness among categorical policy uncertainty indexes and the volatility index in Korea, Japan, and the US. The empirical results on the connectedness suggest that transparent policy and communication with the market in one type of policy would reduce the uncertainty in other policies.