• Journal of applied mathematics & informatics
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• v.41 no.1
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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.

• Communications of the Korean Mathematical Society
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• v.32 no.2
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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.

• 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.

• The Journal of the Korea Contents Association
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• v.13 no.12
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• pp.369-378
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• 2013

The Korean Won-Dollar exchange markets showed radical price movements in the late 1990s and 2008. Therefore it provides good sources for studying volatility phenomena. Using the GARCH option models, I analysed how the prices of foreign exchange options react volatilities in the foreign exchange spot prices. For this I compared the explanatory power of three option models(Black and Scholes, Duan, Heston and Nandi), using the Won-Dollar OTC option markets data from 2006 to 2013. I estimated the parameters using MLE and calculated the mean square pricing errors. According to the my empirical studies, the pricing errors of Duan, Black and Scholes models are 0.1%. And the pricing errors of the Heston and Nandi model is greatest among the three models. So I would like to recommend using Duan or Black and Scholes model for hedging the foreign exchange risks. Finally, the historical average of spot volatilities is about 14%, so trading the options around 5% may lead to serious losses to sellers.

• Journal of Distribution Science
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• v.13 no.2
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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.

• Communications of the Korean Mathematical Society
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• v.31 no.1
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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.

• Journal of Families and Better Life
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• v.28 no.3
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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.

• The Korean Journal of Financial Management
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• v.20 no.1
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• pp.305-329
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• 2003

This work analyzes the influence of the dollar and yen currency on the rate of return of the individual firms and its symmetries based on the data from Jan. 5 1987 to Dec. 28, 2001. GARCH and autoregressive error models were used for on the daily data, due to the heteroscedascity and autoregression of the error terms, and as for the monthly data, this paper follows the autoregressive error models. Daily data fumed out to be a better explanatory variable in detecting exchange rate exposure, and EGARCH(1, 1) and GJR-GRARCH(1, 1) have higher competence in analyzing the daily data. Also, most of the exposed firms have been exposed in the negative region, and appreciation of exchange rate does not help enhancing the asset value of the domestic value. Analysis on the asymmetries let us conclude that high proportion of domestic firms face asymmetric exchange rate exposure, and that the pricing-to-market theory carries more conviction than the real option theory. Furthermore, monthly data are more precise in analysis of asymmetries.

• East Asian Journal of Business Economics (EAJBE)
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• v.6 no.4
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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.

• Asia-Pacific Journal of Business
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• v.14 no.4
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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.