• Korean Journal of Mathematics
• /
• 제16권2호
• /
• pp.233-242
• /
• 2008

We deal with the closed forms of European option pricing for the general class of volatility asset model and the jump-type volatility asset model by several methods.

• 응용통계연구
• /
• 제24권1호
• /
• pp.83-92
• /
• 2011

주식은 그 자체로도 투자의 대상이며, 또한 옵션의 기초자산으로서 옵션의 가격을 평가하는 기본도구로 사용되고 있기에, 주식에 대한 정확한 예측값 도출은 매우 중요하다고 불 수 있다.주식의 가치평가를 위하여 기존 연구들은 대표적으로 GARCH 류의 모형과 SV(stochastic volatility, 확률변동성)류의 모형을 사용하였다. 본 연구에서는 SV 모형에 대해서 초점을 맞추어 KOSPI200 지수를 실증분석하였다. 특히 Durham (2008)의 방법론에 따라서 로그 SV 모델에 변동성지수(VKOSPI 지수)를 추가로 고려하여 모델의 정확도 향상을 기대하였다. VKOSPI 지수는 KOSPI200의 옵션으로부터 계산된 미래에 대한 기대 변동성으로, 주식과 옵션간의 유기적 관련성을 바탕으로 추정하기에 그 의미가 있다. 자료는 2003년 1월2일부터 2010년 9월 24일을 기간으로 사용하였다.

• Korean Journal of Mathematics
• /
• 제20권1호
• /
• pp.47-60
• /
• 2012

We deal some analytic calculations for European option pricing by using the theory of elementary solution of generalized diffusion equation mainly.

• Communications for Statistical Applications and Methods
• /
• 제27권4호
• /
• pp.487-500
• /
• 2020

Insurers face increasing demands for cyber liability; entailed in part by a variety of new forms of risk of data breaches. As data breach occurrences develop, our understanding of the volatility in data breach counts has also become important as well as its expected occurrences. Volatility clustering, the tendency of large changes in a random variable to cluster together in time, are frequently observed in many financial asset prices, asset returns, and it is questioned whether the volatility of data breach occurrences are also clustered in time. We now present volatility analysis based on INGARCH models, i.e., integer-valued generalized autoregressive conditional heteroskedasticity time series model for frequency counts due to data breaches. Using the INGARCH(1, 1) model with data breach samples, we show evidence of temporal volatility clustering for data breaches. In addition, we present that the firms' volatilities are correlated between some they belong to and that such a clustering effect remains even after excluding the effect of financial covariates such as the VIX and the stock return of S&P500 that have their own volatility clustering.

• KDI Journal of Economic Policy
• /
• 제33권1호
• /
• pp.93-124
• /
• 2011

본고에서는 Tversky and Kahneman(1974)의 기준점 효과와 Kahneman and Tversky(1979)의 전망이론으로 해석이 가능한 현상이 우리나라 자산시장에 동시에 나타나는지를 주가 및 부동산 가격을 대상으로 검증하였다. 전망이론의 경우 위험 회피 성향 투자자가 가격 상승 시 매각을 선호하는 것으로 예측하는데, 본고는 이런 성향이 자산가격 수익의 변동성이 증가하는 경우 더 강화되는 것으로 보았다. 1990년대 이후 우리나라 자료를 바탕으로 실증분석한 결과, 과거 수익률이 양(+)인 경우, 주가수익률은 과거 20 또는 30 영업일 자료(window)를 이용하여 산출한 변동성에, 아파트를 제외한 주택가격 수익률은 과거 24~36개월의 자료를 이용하여 산출한 변동성에 각각 통계적으로 유의한 영향을 받는 것으로 나타났다.

• 디지털융복합연구
• /
• 제7권1호
• /
• pp.73-80
• /
• 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.

• Management Science and Financial Engineering
• /
• 제19권1호
• /
• pp.49-52
• /
• 2013

In this paper we provide a valuation formula for a variance swap with regime switching. A variance swap is a forward contract on variance, the square of realized volatility of the underlying asset. We assume that the volatility of underlying asset is governed by Markov regime-switching process with finite states. We find that the proposed model can provide ease of calculation and be superior to the models currently available.

• The Journal of Asian Finance, Economics and Business
• /
• 제8권2호
• /
• pp.685-695
• /
• 2021

This study explores the impact of stochastic volatility in option pricing. To be more specific, we compare the option pricing performance between stochastic volatility option pricing model, namely, Heston option pricing model and standard Black-Scholes option pricing. Our finding, based on the market price of SET50 index option between May 2011 and September 2020, demonstrates stochastic volatility of underlying asset return for all level of moneyness. We find that both deep in the money and deep out of the money option exhibit higher volatility comparing with out of the money, at the money, and in the money option. Hence, our finding confirms the existence of volatility smile in Thai option markets. Further, based on calibration technique, the Heston option pricing model generates smaller pricing error for all level of moneyness and time to expiration than standard Black-Scholes option pricing model, though both Heston and Black-Scholes generate large pricing error for deep-in-the-money option and option that is far from expiration. Moreover, Heston option pricing model demonstrates a better pricing accuracy for call option than put option for all level and time to expiration. In sum, our finding supports the outperformance of the Heston option pricing model over standard Black-Scholes option pricing model.

• 융합정보논문지
• /
• 제11권2호
• /
• pp.82-89
• /
• 2021

본 연구의 목적은 투자자의 은퇴 시점뿐만 아니라 시장의 예측 변동성을 동시에 고려하여 Target Date Fund의 위험자산 편입 비율을 동적으로 조정하는 새로운 Glide Path를 제안하고, 은퇴 시점만 고려하여 위험자산 편입 비율이 정해지는 전통적 Glide Path와 투자 성과를 비교 분석하는 것이다. 시장 변동성의 예측치로는 역사적 변동성, 시계열모형인 GARCH 변동성, 그리고 변동성지수인 VKOSPI를 활용하였으며, 2003년부터 2020년까지의 분석 기간에서 변동성을 고려하는 새로운 동적 Glide Path의 투자 성과가 우수함을 보여주었다. 3가지 변동성 예측모형 모두에서 은퇴 시점만을 고려하는 Glide Path보다 수익률은 더 높고 위험은 더 낮아지면서 투자 성과 지표인 Sharpe Ratio가 개선되었다. 실증 분석 결과는 은퇴예정자뿐만 아니라 Target Date Fund 운용업계에 새로운 Glide Path의 활용 가능성을 제시하고 있다.

• Asian Journal of Innovation and Policy
• /
• 제6권2호
• /
• pp.225-244
• /
• 2017

When evaluating the economic value of technology or business project, we need to consider the period and cost for commercialization. Since the discounted cash flow (DCF) method has limitations in that it can not consider consecutive investment or does not reflect the probabilistic property of commercialization cost, we often take it desirable to apply the concept of real options with key metrics of underlying asset value, commercialization cost, and volatility, while regarding the value of technology and investment as the opportunity value. We at this moment provide more elaborated real options model with the effective region of volatility, which reflects the uncertainty in the option pricing model (OPM).