• 디지털융복합연구
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• 제7권1호
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• pp.73-80
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• 2009

In this study, the pricing performances of alternative simple option models are examined by creating a simulated market environment in which asset prices evolve according to a stochastic volatility process. To do this, option prices fully consistent with Heston[9]'s model are generated. Assuming this prices as market prices, the trading positions utilizing the Black-Scholes[4] model, a semi-parametric Corrado-Su[7] model and an ad-hoc modified Black-Scholes model are evaluated with respect to the true option prices obtained from Heston's stochastic volatility model. The simulation results suggest that both the Corrado-Su model and the modified Black-Scholes model perform well in this simulated world substantially reducing the biases of the Black-Scholes model arising from stochastic volatility. Surprisingly, however, the improvements of the modified Black-Scholes model over the Black-Scholes model are much higher than those of the Corrado-Su model.

• 한국지능정보시스템학회:학술대회논문집
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• 한국지능정보시스템학회 2000년도 추계정기학술대회:지능형기술과 CRM
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• pp.489-497
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• 2000

After IMF situation, the money market environment is changing rapidly. Therefore, many companies including financial institutions and many individual investors are concerned about forecasting the money market, and they make an effort to insure the various profit and hedge methods using derivatives like option, futures and swap. In this research, we developed a prototype of forecasting system for KOSPI 200 option, especially call option, trading using artificial neural networks(ANN), To avoid the overfitting problem and the problem involved int the choice of ANN structure and parameters, we employed the ANN ensemble approach. We conducted two types of simulation. One is conducted with the hold signals taken into account, and the other is conducted without hold signals. Even though our models show low accuracy for the sample set extracted from the data collected in the early stage of IMF situation, they perform better in terms of profit and stability than the model that uses only the theoretical price.

• 한국항행학회논문지
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• 제15권1호
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• pp.104-111
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• 2011

본 연구는 기술혁신에 관한 산업유형별 연구개발투자와 실물옵션가치, 기업가치와 시장가치를 사후적(ex post) 측면에서 실증 분석하여 기계소재 산업의 연구개발투자에 따른 개별 산업의 실물옵션가치, 기업가치 및 시장가치에 미치는 영향을 계량적 성과로서 살펴보고자 하였으며 분석 결과 연구개발투자에 따른 실물옵션법에 의해 도출된 기업가치의 평가가 시장가치를 잘 반영하고 밀접한 상관관계를 보이고 있으며 일반적으로 기업의 성장 동력으로 연구개발투자가 시장가치에 미치는 영향이 크다는 기존 이론과 일치하는 실증분석 결과를 도출하였다.

• Journal of the Korean Statistical Society
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• 제36권2호
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• pp.237-256
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• 2007

This paper studies the problem of option pricing in an incomplete market. The market incompleteness comes from the discontinuity of the underlying asset price process which is, in particular, assumed to be a compound Poisson process. To find a reasonable price for a European contingent claim, we first find the unique minimal martingale measure and get a price by taking an expectation of the payoff under this measure. To get a closed-form price, we use an asymptotic expansion. In case where the minimal martingale measure is a signed measure, we use a sequence of martingale measures (probability measures) that converges to the equivalent martingale measure in the limit to compute the price. Again, we get a closed form of asymptotic option price. It is the Black-Scholes price and a correction term, when the distribution of the return process has nonzero skewness up to the first order.

• Communications for Statistical Applications and Methods
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• 제17권4호
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• pp.575-589
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• 2010

Exponential L$\acute{e}$evy models have become popular in modeling price processes recently in mathematical finance. Although it is a relatively simple extension of the geometric Brownian motion, it makes the market incomplete so that the option price is not uniquely determined. As a trial to find an appropriate price for an option, we suppose a situation where a hedger wants to initially invest as little as possible, but wants to have the expected squared loss at the end not exceeding a certain constant. For this, we assume that the underlying price process follows a variance-gamma model and it converges to a geometric Brownian motion as its quadratic variation converges to a constant. In the limit, we use the mean-variance approach to find the asymptotic minimum investment with the expected squared loss bounded. Some numerical results are also provided.

• Management Science and Financial Engineering
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• 제21권2호
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• pp.13-23
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• 2015

This study addresses the question as to whether the option prices have useful predictive information on the direction of stock markets by investigating a forecasting power of volatility curvatures and skewness premiums implicit in S&P 500 index option prices traded in Chicago Board Options Exchange. We begin by estimating implied volatility functions and risk neutral price densities every minute based on non-parametric method and then calculate volatility curvature and skewness premium using them. The rationale is that high volatility curvature or high skewness premium often leads to strong bullish sentiment among market participants. We found that the rate of return on the signal following trading strategy was significantly higher than that on the intraday buy-and-hold strategy, which indicates that the S&P500 index option prices have a strong forecasting power on the direction of stock index market. Another major finding is that the information contents of S&P 500 index option prices disappear within one minute, and so one minute-delayed signal following trading strategy would not lead to any excess return compared to a simple buy-and-hold strategy.

• 재무관리연구
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• 제20권1호
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• pp.61-92
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• 2003

스톡옵션 부여 공시가 비정상적인 양(+)의 초과수익률을 가져온다는 선행 연구의 연장선상에서, 본 연구에서는 스톡옵션 부여 공시가 야기하는 초과수익률이 시간 및 부여횟수에 따라 변하는가를 검증해 보았다. 스톡옵션 도입 초기부터 스톡옵션 부여가 보편화된 시기까지에 대해 스톡옵션 부여공시에 따른 주가반응이 동일한가를 검증한 결과, 2000년 이후에는 스톡옵션 부여공시가 뉴스로서 가지는 의미가 점차 약해짐을 발견했다. 또한, 한 기업이 여러 차례에 걸쳐 스톡옵션을 부여할 경우, 부여횟수가 증가함에 따라 초과수익률이 점차 감소함을 발견했다. 이는 기업의 스톡옵션 부여가 보다 보편화될수록 스톡옵션 부여공시가 가지는 뉴스로서의 긍정적인 영향이 상대적으로 감소됨을 의미한다. 주식시장에서 보다 많은 수의 기업이 스톡옵션을 부여할수록, 또 한 기업이 여러 차례에 걸쳐 스톡옵션을 부여할수록, 투자자들은 기업의 스톡옵션 부여가 기업가치 증대에 미치는 영향이 상대적으로 적어질 것이라 기대함을 시사한다.

• Industrial Engineering and Management Systems
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• 제10권1호
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• pp.84-94
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• 2011

In this paper, we propose a method to provide the distribution of option price under local volatility model when market-provided implied volatility data are given. The local volatility model is one of the most widely used smile-consistent models. In local volatility model, the volatility is a deterministic function of the random stock price. Before estimating local volatility surface (LVS), we need to estimate implied volatility surfaces (IVS) from market data. To do this we use local polynomial smoothing method. Then we apply the Dupire formula to estimate the resulting LVS. However, the result is dependent on the bandwidth of kernel function employed in local polynomial smoothing method and to solve this problem, the proposed method in this paper makes use of model averaging approach by means of bandwidth priors, and then produces a robust local volatility surface estimation with a confidence interval. After constructing LVS, we price barrier option with the LVS estimation through Monte Carlo simulation. To show the merits of our proposed method, we have conducted experiments on simulated and market data which are relevant to KOSPI200 call equity linked warrants (ELWs.) We could show by these experiments that the results of the proposed method are quite reasonable and acceptable when compared to the previous works.

• 대한수학회논문집
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• 제23권1호
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• pp.141-151
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• 2008

In this paper, we derive the nonlinear equation for European option pricing containing liquidity risk which can be defined as the inverse of the partial derivative of the underlying asset price with respect to the amount of assets traded in the efficient market. Numerical solutions are obtained by using finite element method and compared with option prices of KOSPI200 Stock Index. These prices computed with liquidity risk are considered more realistic than the prices of Black-Scholes model without liquidity risk.

• 한국기술혁신학회:학술대회논문집
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• 한국기술혁신학회 2000년도 추계 학술대회(The 2000 Autumn Conference of korea Technology Inovation Society)(한국기술혁신학회)
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• pp.297-311
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• 2000

Since 1996 when Kosdaq market was set up, serious doubt has been raised regarding the efficiency of the market. The most important question is whether this market can reflect the real value of the venture company quoted on it. In order to answer this question, this study aimed to evaluate venture companies in Kosdaq market adopting the concept of real option theory. From the results of empirical analysis, we found that in the early 2000, there was serious over-valuation problem. On the contrary, in the recent period of economic recession, under-valuation problem is quite prevalent. We also present our methodology and empirical results confirm the conjecture that option premium outweighs the DCF valor for the newly born and high-technology intensive venture companies. We hope that the empirical results shed some light on the policy prescription to improve the efficiency of Kosdaq market.