• The Journal of Asian Finance, Economics and Business
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• 제5권1호
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• pp.11-16
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• 2018

This research examines the alternative ways of estimating the coefficient of non-diversifiable risk, namely beta coefficient, in Capital Asset Pricing Model (CAPM) introduced by Sharpe (1964) that is an essential element of assessing the value of diverse assets. The non-parametric methods used in this research are the robust Least Trimmed Square (LTS) and Maximum likelihood type of M-estimator (MM-estimator). The Jackknife, the resampling technique, is also employed to validate the results. According to finance literature and common practices, these coecients have often been estimated using Ordinary Least Square (LS) regression method and monthly return data set. The empirical results of this research pointed out that the robust Least Trimmed Square (LTS) and Maximum likelihood type of M-estimator (MM-estimator) performed much better than Ordinary Least Square (LS) in terms of eciency for large-cap stocks trading actively in the United States markets. Interestingly, the empirical results also showed that daily return data would give more accurate estimation than monthly return data in both Ordinary Least Square (LS) and robust Least Trimmed Square (LTS) and Maximum likelihood type of M-estimator (MM-estimator) regressions.

• 대한수학회보
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• 제55권4호
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• pp.1241-1261
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• 2018

We derive discrete time model of the geometric fractional Brownian motion. It provides numerical pricing scheme of financial derivatives when the market is driven by geometric fractional Brownian motion. With the convergence analysis, we guarantee the convergence of Monte Carlo simulations. The strong convergence rate of our scheme has order H which is Hurst parameter. To obtain our model we need to convert Wick product term of stochastic differential equation into Wick free discrete equation through Malliavin calculus but ours does not include Malliavin derivative term. Finally, we include several numerical experiments for the option pricing.

• East Asian mathematical journal
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• 제40권1호
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• pp.63-74
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• 2024

Timer options are financial instruments proposed by Société Générale Corporate and Investment Banking in 2007. Unlike vanilla options, where the expiry date is fixed, the expiry date of timer options is determined by the investor's choice, which is in linked to a variance budget. In this study, we derive a pricing formula for hybrid options that combine timer options, digital options, and power options, considering an environment where volatility of an underlying asset follows a fast-mean-reverting process. Additionally, we aim to validate the pricing accuracy of these analytical formulas by comparing them with the results obtained from Monte Carlo simulations. Finally, we conduct numerical studies on these options to analyze the impact of stochastic volatility on option's price with respect to various model parameters.

• 대한산업공학회지
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• 제38권4호
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• pp.244-248
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• 2012

We present a simple numerical method for pricing American put options under a constant elasticity of variance (CEV) model. Our analysis is done in a general framework where only the risk-neutral transition density of the underlying asset price is given. We obtain an integral equation of early exercise premium. By exploiting a modification of the integral equation, we propose a novel and simple numerical iterative valuation method for American put options.

• 지적과 국토정보
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• 제45권1호
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• pp.207-224
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• 2015

본 연구의 목적은 부동산평가에 있어 소득접근법에 속하는 무형자산의 평가기법을 고찰하는 데 있다. 소득접근법에 의한 무형자산의 가치는 장래 기대되는 경제적 편익을 현재가치로 환원한 값이다. 관계법령의 무형자산의 평가기준으로는 감정평가에 관한 규칙, 지식재산기본법, 국유재산법의 규정을 검토하였다. 경제적 편익의 추계방법으로는 외삽법, 생애주기분석법, 감응도분석법, 시뮬레이션분석법, 판단법, 타불라라사법을, 자본환원율과 할인율의 추계방법으로는 시장추출법, 자본가격결정모형, 조성법, DCF모형, 가중평균자본비용법을 고찰하였다. 대상무형자산의 자본환원방법으로는 사용료절감법, 초과이익환원법, 이윤분할법, 업체가치잔여법, 가상소득환원법 등을 살펴보았다.

• 아태비즈니스연구
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• 제12권3호
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• pp.37-50
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• 2021

Purpose - This study aimed to examine the behavior surrounding the Initial Public Offering (IPO) event of firms within the same conglomerate and the impact of under-pricing and Return on Equity(ROE) on a firm's abnormal stock returns. Design/methodology - This study collected data from 166 South Korean Chaebols, consisting of 355 firms distributed as 202 listed on Korea Composite Stock Price Index (KOSPI) and 153 firms listed on Korean Securities Dealers Automated Quotations (KOSDAQ) from 2000 to 2020. The Capital Asset Pricing Model (CAPM) and the multiple regression analysis were hired to analyze the data. Findings - First, we found an adverse price reaction of IPO listing in the same chaebol group, and firms with higher under-pricing affect other firms' stock prices more adversely within the conglomerate. Next, we explored a negatively significant relation between ROE and the chaebol firms' stock returns during IPO events. Research implications - The novelty of this study is there are not many empirical studies on the impact of IPO within a conglomerate. So, the findings of this study contribute to the literature for analyzing stock's abnormal returns within a conglomerate.

• 아태비즈니스연구
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• 제12권3호
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• pp.379-396
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• 2021

Purpose - The purpose of this paper is to study the rational payoff from the standpoint of foreign investors and the government when the government issues GDP-linked bonds to foreign investors. Design/methodology/approach - In this paper, the prices of 12 types of GDP-linked bond structures, which are classified according to the calculation cycle of the rate of change of linked GDP, the currency issued, and whether options are embedded, were evaluated. The Fama-French 3-factor model and the GMM-SDF model are used in the asset pricing model, and domestic and overseas investors used different basis assets. Findings - The KRW premium for US investors is estimated to be 43bp on a quarterly basis and 30bp on an annual basis, respectively, meaning that when the government issues bonds in KRW, the interest rate paid to US investors will be reduced by 30bp to 160bp (annually converted). Using the Fama-French 3 factor model, the KRW premium is the risk premium for the US market beta, meaning that if US investors do not intend to invest in US market beta, it is advantageous to receive an additional interest rate by investing in USD-denominated GDP-linked bonds. Korea's GDP- linked bond give US investors diversified investment utility, so they are willing to incorporate Korean GDP-linked bonds even if -150bp of interest is deducted from the structure issued to Korean investors. And as a result of estimating the value of the option through the GDP-linked bond with options that provides a floor for guaranteeing the principal, the value of the option linked to the annual GDP issued in dollars was the lowest. Research implications or Originality - Issuing dollar-denominated GDP-linked bonds linked to annual GDP with the option of guaranteeing the principal by the government is a way to increase investment opportunities for US investors and achieve financial stability of the government.

• 한국지능시스템학회:학술대회논문집
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• 한국퍼지및지능시스템학회 2004년도 추계학술대회 학술발표 논문집 제14권 제2호
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• pp.331-334
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• 2004

본 논문에서, 우리는 부호가 있는 구간치 쇼케이적분을 정의하고 부호가 있는 수간치 쇼케이 적분이 이산과 단조성이 없는 경우를 모델화할 수 있는가를 보인다. 더욱이 일시적인 선택, 재화 가격과 복지평가 등의 응용에 관해서도 언급하고자한다.

• 재무관리연구
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• 제24권4호
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• pp.1-43
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• 2007

전통적인 옵션가격결정모형인 블랙-숄즈 모형(Black-Scholes model)은 기초자산의 로그수익률(log-return)이 브라운운동(Brownian motion)을 따른다는 가정에 기반을 두고 있다. 그러나 이 가정은 현실적인 한계가 많은 것으로 비판을 받아 왔다. 이에 따라 지난 20여 년간 브라운 운동 이외에 새로운 확률과정을 도입한 모형들이 연구되고 도출되었다. 최근에는 레비과정(L$\acute{e}$vy process)에 기반한 모형들이 활발히 연구되어오고 있는데, 그 기원은 1994년 거버(Gerber)와 쉬우(Shiu)에 의한 거버-쉬우 모형(Gerber-Shiu model)이다. 2004년 치앙(Cheang)은, 거버-쉬우 모형이 하나의 레비과정을 가정한 데 비해, 복수의 독립적인 레비과정을 가정하여 옵션가격결정모형을 유도함으로써 거버-쉬우 모형을 추세(drift)와 도약(jump)을 갖는 경우로 확장할 수 있는 가능성을 제시하였다. 본 논문에서는 치앙의 모형을 이용하여 레비과정 하에서의 추세와 도약을 갖는 거버-쉬우 모형을 유도하였다. 여기에 감마분포를 도입하여 1993년에 도출된 헤스톤 모형(Heston model)에 도약을 도입한 형태의 모형을 유도하였다. 아울러 이렇게 유도된 모형에 대하여 KOSPI200 지수 옵션 자료를 사용해서 블랙-숄즈 모형과의 가격설명력을 비교하였다. 그 결과, 본 논문에서 유도된 모형이 블랙-숄즈 모형 이상의 가격설명력을 보이는 것으로 나타났다.

• The Journal of Asian Finance, Economics and Business
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• 제7권8호
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• pp.25-31
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• 2020

The purpose of this paper is to examine a financial distress premium in the emerging market. A risk-return trade-off of negative book equity (NBE) and distress firms is empirically analyzed using data from the Stock Exchange of Thailand. This research employs Ohlson's (1980) bankruptcy model as a measurement of distress risk. The results indicate that distress firms outperform solvent firms in the Thai market and deny distress anomaly often found in the developed market. Fama-Frech (1993) three-factor model and Carhart (1997) four-factor model verify the existence of a distress premium in the Thai capital market. Risk-seeking investors demand greater compensation for bearing risks of distress firms' going concern. This paper provides fresh evidence that default risk is a significant explanatory factor in pricing stocks in the emerging market. Also, this study sheds light on the role of NBE firms in asset pricing. Most studies eliminate NBE firms from their sample. However, NBE firms yield superior average cross-sectional returns, albeit with higher volatility. Investors are rewarded with distress risks associated with NBE firms. The outperformance of NBE firms is statistically significant when compared to the overall market. The NBE premium disappears when factoring size, value, and momentum in time-series analysis.