• 대한예방한의학회지
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• 제23권2호
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• pp.43-51
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• 2019

Objectives : This study aimed to analyze price variance by year, region and company of raw herbal medicines to draw payment system for herbal medicine insurances in the National Health Insurance. Methods : To analyse price variance, we used 2015-2017 data of 'Quality test results of imported herbal medicines' provided by Korea Pharmaceutical Traders Association and 'Price data of 56 raw herbal medicines' that was surveyed by the Association of Korean Medicine. We analysed gap of highest price and lowest price those were compared with average price and coefficient of variation(CV) of prices by year, region and company of raw herbal medicines. Results : In analysing 3 years data, the highest price was 23.2% higher, and the lowest price was 19.1% lower than the average price. As of 2018, the average price of domestic produced herbal medicines was 1,8 times higher than that of imported herbal medicines. By companies, the highest price was 117.5% higher, and the lowest price was 57.3% lower than the average price. Conclusions : The price of herbal medicines varied by production year, region and company. This results suggest that comprehensive payment model needs to be considered in modeling the health insurance coverage for herbal medicine decoctions.

• East Asian mathematical journal
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• 제34권3호
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• pp.239-248
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• 2018

In this paper, we derive a closed-form formula of a second-order approximation for a European corrected option price under stochastic elasticity of variance model mentioned in Kim et al. (2014) [1] [J.-H. Kim, J Lee, S.-P. Zhu, S.-H. Yu, A multiscale correction to the Black-Scholes formula, Appl. Stoch. Model. Bus. 30 (2014)]. To find the explicit-form correction to the option price, we use Mellin transform approaches.

• 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.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제20권2호
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• pp.123-135
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• 2016

This article deals with the pricing of Asian options under a constant elasticity of variance (CEV) model as well as a stochastic elasticity of variance (SEV) model. The CEV and SEV models are underlying asset price models proposed to overcome shortcomings of the constant volatility model. In particular, the SEV model is attractive because it can characterize the feature of volatility in risky situation such as the global financial crisis both quantitatively and qualitatively. We use an asymptotic expansion method to approximate the no-arbitrage price of an arithmetic average Asian option under both CEV and SEV models. Subsequently, the zero and non-zero constant leverage effects as well as stochastic leverage effects are compared with each other. Lastly, we investigate the SEV correction effects to the CEV model for the price of Asian options.

• 충청수학회지
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• 제33권2호
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• pp.181-195
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• 2020

This paper suggests the price of vulnerable European option under a constant elasticity of variance model by using asymptotic analysis technique and obtains the approximated solution of the option price. Finally, we illustrate an accuracy of the vulnerable option price so that the approximate solution is well-defined.

• 응용통계연구
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• 제29권1호
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• pp.181-192
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• 2016

옵션의 가격을 결정하는 문제에서 블랙-숄즈 모형이 가지는 단점을 보완하기 위해 블랙-숄즈 가격을 선도항으로 하여 보정항을 구하는 근사적 옵션가격의 결정방법을 고려하였다. 이러한 근사적 가격결정 방법들은 비교적 적은 자료를 가지고 간단한 계산으로 다양한 형태의 위험중립 확률분포에 의한 옵션가격을 계산할 수 있다. 이 논문에서는 일반적으로 관찰되는 시장상황을 모사한 모의실험과 실제 시장에서 관측되는 KOSPI200 옵션가격 자료를 통해 몇 가지 근사방법들의 적합성과를 비교, 평가하였다. 헤르미트 다항식 계열의 Edgeworth 확장과 A-type Gram-Charlier, C-type Gram-Charlier 방법, NIG 분포를 이용하는 방법, 비선형 회귀를 이용한 점근적 근사방법이 고려되었다. 모의실험에서는 순수 점프 레비 확률과정 가운데 옵션가격이 닫힌 해의 형태로 존재하는 Variance gamma 과정을 가정하여 자료를 생성하였다. 모의실험과 실제 자료분석의 결과, 분포함수를 먼저 근사하여 가격을 계산하는 것보다 근사적 가격식을 유도하여 직접 가격을 근사하는 방법들의 성능이 좀 더 좋았으며, 그 가운데 비선형 회귀를 이용한 점근적 근사방법이 상대적으로 좋은 성능을 보였다.

• 응용통계연구
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• 제25권1호
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• pp.55-66
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• 2012

블랙-숄즈 모형이 실제 기초자산의 움직임을 반영하지 못한다는 사실이 실증연구에 의하여 밝혀진 이후 기초자산의 움직임을 레비확률과정을 이용하여 모형화한 옵션가격결정 모형들이 그 대안 중 하나로 연구되어 왔다. 본 논문에서는 블랙-숄즈 모형의 대안으로 제시된 레비모형 중 Variance Gamma 모형이 국내 주식시장에서의 기초자산의 움직임을 블랙-숄즈 모형보다 충실히 재현해내는지 알아보고자 한다. 이를 위하여 Madan 등 (1998)의 연구에서와 같이 로그수익률의 확률밀도함수와 옵션 가격 결정식을 바탕으로 KOSPI 200자료를 이용하여 모수를 추정하고 우도비 검정을 실시하였다. 또한, 옵션 가격을 추정한 후 모형 간의 비교를 위하여 다양한 통계량을 계산하고, 회귀분석을 통하여 변동성 스마일 현상이 교정되는지를 살펴보았다. 연구결과로부터 Variance Gamma 모형 하에서 추정된 옵션 가격이 블랙-숄즈 모형 하에서 추정된 그것보다 더 시장가격과 가까우나, 이 모형도 변동성 스마일 현상을 해결해주지는 못함을 확인할 수 있었다.

• 수산경영론집
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• 제46권1호
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• pp.93-107
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• 2015

This study aims to analyze causalities among Hairtail prices by distribution channel using a vector autoregressive model. This study applies unit-root test for stability of data, uses Granger causality test to know interaction among Hairtail Prices by distribution channel, and employes the vector autoregressive model to estimate statistical impacts among t-2 period variables used in model. Analyzing results of this study are as follows. First, ADF, PP, and KPSS tests show that the change rate of Hairtail price by distribution channel differentiated by logarithm is stable. Second, a Granger causality test presents that the producer price of Hairtail leads the wholesale price and then the wholesale price leads the consumer price. Third, the vector autoregressive model suggests that the change rate of Hairtail producer price of t-2 period variables statistically, significantly impacts change rates of own, wholesale, and consumer prices at current period. Fourth, the impulse response analysis indicates that impulse responses of the structural shocks with a respectively distribution channel of the Hairtail prices are relatively more powerful in own distribution channel than in other distribution channels. Fifth, a forecast error variance decomposition of the Hairtail prices points out that the own price has relatively more powerful influence than other prices.

• The Journal of Asian Finance, Economics and Business
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• 제1권3호
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• pp.5-16
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• 2014

This study aims to examine the dynamics of price changes and trading volume of Kuala Lumpur Options and Financial Futures Exchange (KLOFFE) from 2000 to 2008. With augmented analysis, our results support two hypotheses. First, under information spillover, our findings support noise traders' hypothesis as the time span for variance of past trading volume to cause variance of current return is found to be asymmetric under bull and bear markets. Second, looking at the dynamic relation between volume and volatility of price changes, our findings support Liquidity-Driven Trade hypothesis as past trading volume and subsequent volatility of return exhibit positive correlation. In terms of investors' behavior in response to the news, we find that investors are more risk taking in bull market and more risk reverse in bear market. Our study suggests that investors should adjust their strategy in the futures market in a dynamic manner as the time span of new information arrival is not consistent. Also, uninformed investors with information asymmetry should expect noninformational trading from informed investors to establish their desired positions for better liquid position.

• Ocean and Polar Research
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• 제36권4호
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• pp.327-341
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• 2014

This study aims to analyze causality among Wando abalone producer prices by size using a vector autoregressive model to expiscate the leading-price of Wando abalone in various price classes by size per kg. This study, using an analytical approach, applies a unit-root test for stability of data, a Granger causality test to learn about interaction among price classes by size for Wando abalone, and a vector autoregressive model to estimate the statistical impact among t-1 variables used in the model. As a result of our leading-price analysis of Wando abalone producer prices by shell size using a VAR model, first, DF, PP, and KPSS tests showed that the Wando abalone monthly price change rate by size differentiated by logarithm were stable. Second, the Granger causality relationship analysis showed that the price change rate for big size abalone weakly led the price change rate for the small and medium sizes of abalone. Third, the vector autoregressive model showed that three price change rates of t-1 period variables statistically, significantly impacted price change rates of own size and other sizes in t period. Fourth, the impulse response analysis indicated that the impulse responses of structural shocks for price change rate for big size abalone was relatively more powerful in its own size and in other sizes than shocks emanating from other sizes. Fifth, the variance decomposition analysis indicated that the price change rate for big size abalone was relatively more influential than the price change rates for medium and small size abalone.