• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제15권1호
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• pp.31-41
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• 2011

I introduce a derivative called "Snowball Currency Option" or "USDKRWSnowball Extendible At Expiry KO" which was traded once in the over-the-counter market in Korea. A snowball currency option consists of a series of maturities the payoffs at which are like those of a long position in a put option and two short position in an otherwise identical call. The strike price at each maturity depends on the exchange rate and the previous strike price so that the strike prices are random and path-dependent, which makes it difficult to find a closed form solution of the value of a snowball currency option. I analyze the payoff structure of a snowball currency option and derive an upper and a lower boundaries of the value of it in a simplified model. Furthermore, I derive a pricing formula using integral in the simplified model.

• Journal of the Korean Data and Information Science Society
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• 제22권1호
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• pp.37-47
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• 2011

주가지수 옵션시장에는 많은 투자전략이 개발되어 있다. 그중 차익거래 전략은 시장이 효율성 유지측면에서 매우 중요한 역할을 하고 있다. 본 연구는 이러한 차익거래 전략 중 박스스프레드 전략을 적용하여 과거 옵션 데이터를 통해 사후 검증하고 러프 집합을 이용해 수익성을 향상시키고자 한다. 옵션 데이터는 2002년 1월부터 2006년 12월까지 실제 증권거래소에서 거래되었던 틱 데이터를 기반으로 하고 있으며 비주얼 베이직을 이용해 9시부터 오후 3시까지의 1분 마다의 종가인 1분봉으로 변형하여 분석을 하였다. 박스스프레드 전략은 낮은 위험, 낮은 이익 구조를 가지고 있다. 기존의 전략을 과거 데이터를 기반으로 백 테스팅 해보고 러프 집합을 이용하여 거래 진입 시점을 제한함으로써, 동일 위험 대비 좀 더 높은 수익구조를 만들어 낼 수 있는 전략을 구사한다면 낮은 위험으로 안정적 수익을 취할 수 있다.

• Asian Journal of Innovation and Policy
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• 제7권1호
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• pp.178-189
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• 2018

In this paper, we present a case study of a new emerging business startup involved in smart house appliances. The irreversible investment concept and real-option theory are introduced as the fundamentals of the model. By using games theory we show that the startup's actions can trigger reactions from other firms. The first part covers initial the research and development stage, while the second part covers production and commercialization. The findings of this study suggest that, given a certain amount of initial investment, an open and shared innovation may lead to hurting a firm's investment while strengthening the competitors' position in the market. However, given the sensitivity analysis, when volatility and demand grow favorably, sharing R&D investment is not a bad option for a new player to adjust its position in the market while still maintaining positive returns.

• 한국전산응용수학회:학술대회논문집
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• 한국전산응용수학회 2003년도 KSCAM 학술발표회 프로그램 및 초록집
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• pp.10-10
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• 2003

Option pricing theory developed by Black and Sholes depends on an arbitrage opportunity argument. An investor can exactly replicate the returns to any option on that stock by continuously adjusting a portfolio consisting of a stock and a riskless bond. The value of the option equal the value of the replicating portfolio. However, transactions costs invalidate the Black-Sholes arbitrage argument for option pricing, since continuous revision implies infinite trading, Discrete revision using Black-Sholes deltas generates errors which are correlated with the market, and do not approach zero with more frequent revision when transactions costs are included. Stochastic calculus serves as a fundamental tool in the mathematical finance. We closely look at the utility maximization theory which is one of the main option valuation methods. We also see that how the stochastic optimal control problems and their solution methods are applied to the theory.

• 한국CDE학회논문집
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• 제5권3호
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• pp.224-231
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• 2000

In order to satisfy customers'various needs in the market, manufacturing companies tend to add similar variants to an existing product model. This variety causes immense growth of product configuration and makes data management uncontrollable. In order to resolve this problem, we propose a method to efficiently represent the variants in a single schema of product structure and configuration and manage the product configuration. First of all, the product structure which adopts the concept of features and options is suggested. Second, the method to represent option specifications which restricts option configurations is proposed. Finally, the prototype module, which inspects if a product configuration violates the option specifications, is introduced.

• International Journal of Railway
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• 제2권2호
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• pp.80-92
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• 2009

Successful market adoption of rail freight transport innovations that might offer opportunities for market share increase is the focus of this paper. Firstly, seen from a theoretical point of view, it is not incremental innovations but radical organizational and transformation innovations that are likely to increase the market share of rail freight transport. Secondly, the particular inovations that offer some success potential for market adoption are: dedicated infrastructure, the fixed timetable, locomotive upgrades, and INTERFACE. Thirdly, unfortunately, the opportunities to increase the market share of rail freight transport appear to be limited.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제7권2호
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• pp.13-22
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• 2003

Simulations on the nonlinear partial differential equation derived from Black-Scholes equation with transaction costs are performed. These numerical experiments using finite element methods are applied to KOSPI200 in 2002 and the option prices obtained with transaction costs are closer to the real prices in market than the prices used in Korea Stock Exchange.

• 대한수학회보
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• 제56권5호
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• pp.1129-1141
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• 2019

We propose a stochastic delay financial model which describes influences driven by historical events. The underlying is modeled by stochastic delay differential equation (SDDE), and the delay effect is modeled by a stopping time in coefficient functions. While this model makes good economical sense, it is difficult to mathematically deal with this. Therefore, we circumvent this model with similar delay effects but mathematically more tractable, which is by the backward time integration. We derive the option pricing equation and provide the option price and the perfect hedging portfolio.

• 유통과학연구
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• 제13권5호
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• pp.53-60
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• 2015

Purpose - The purpose of this paper is to shed light on the importance of the slope and curvature of the volatility curve implied in option prices in the KOSPI 200 options index. A number of studies examine the implied volatility curve, however, these usually focus on cross-sectional characteristics such as the volatility smile. Contrary to previous studies, we focus on time-series characteristics; we investigate correlation dynamics among slope, curvature, and level of the implied volatility curve to capture market information embodied therein. Our study may provide useful implications for investors to utilize current market expectations in managing portfolios dynamically and efficiently. Research design, data, and methodology - For our empirical purpose, we gathered daily KOSPI200 index option prices executed at 2:50 pm in the Korean Exchange distribution market during the period of January 2, 2004 and January 31, 2012. In order to measure slope and curvature of the volatility curve, we use approximated delta distance; the slope is defined as the difference of implied volatilities between 15 delta call options and 15 delta put options; the curvature is defined as the difference between out-of-the-money (OTM) options and at-the-money (ATM) options. We use generalized method of moments (GMM) and the seemingly unrelated regression (SUR) method to verify correlations among level, slope, and curvature of the implied volatility curve with statistical support. Results - We find that slope as well as curvature is positively correlated with volatility level, implying that put option prices increase in a downward market. Further, we find that curvature and slope are positively correlated; however, the relation is weakened at deep moneyness. The results lead us to examine whether slope decreases monotonically as the delta increases, and it is verified with statistical significance that the deeper the moneyness, the lower the slope. It enables us to infer that when volatility surges above a certain level due to any tail risk, investors would rather take long positions in OTM call options, expecting market recovery in the near future. Conclusions - Our results are the evidence of the investor's increasing hedging demand for put options when downside market risks are expected. Adding to this, the slope and curvature of the volatility curve may provide important information regarding the timing of market recovery from a nosedive. For financial product distributors, using the dynamic relation among the three key indicators of the implied volatility curve might be helpful in enhancing profit and gaining trust and loyalty. However, it should be noted that our implications are limited since we do not provide rigorous evidence for the predictability power of volatility curves. Meaning, we need to verify whether the slope and curvature of the volatility curve have statistical significance in predicting the market trough. As one of the verifications, for instance, the performance of trading strategy based on information of slope and curvature could be tested. We reserve this for the future research.

• 한국건설관리학회논문집
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• 제10권5호
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• pp.135-147
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• 2009

최근 해외건설 시장은 진출국 투자 현지화 요구 등 기업의 장기적 투자를 필요로 하는 프로젝트가 증가하는 경향을 보이고 있어, 건설기업 입장에서 개별 프로젝트 중심의 한시적 의사결정보다는 중 장기적인 관점에서 투자를 고려해야하는 복합적인 진출의사결정 상황에 대한 판단을 요구하고 있다. 따라서 중 장기적 관점에서 해당 진출국 시장의 리스크를 분석하고 해당 진출국의 시장성 진출여부 등을 합리적으로 평가할 수 있는 체계가 기업 경쟁력의 핵심이 된다고 할 수 있다. 하지만 이러한 기업의 시장진출 의사결정과 관련하여 전통적으로 재무적 가치평가를 위해 활용되어 온 현금흐름할인법은 시장의 변동성이나 불확실성을 고려하는 데에 한계를 가지고 있다. 따라서 본 연구에서는 실물옵션 분석에 기초하여, 해외 건설시장진출 안의 평가에 있어 시장의 불확실성을 반영할 수 있는 모델을 개발하고자 하였다. 제안된 시장진출 의사결정모델은 실물옵션 분석을 통해 진출 여부 국가 유형 등과 같은 주요 의사결정 항목들을 통합적으로 고려하여 진출 안을 평가할 수 있으며, 시나리오 분석을 통해 제안된 시장진출의사결정 모델의 분석과정을 제시함으로써 활용성을 검증하였다. 본 연구의 시장진출 의사결정모델의 활용을 통해 해외 건설시장 진출을 계획하는 건설기업의 합리적 의사결정을 지원할 수 있을 것으로 기대된다.