• Communications for Statistical Applications and Methods
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• 제14권2호
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• pp.413-429
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• 2007

Equity-linked securities (ELS) provide their customers with the return linked to the underlying equity (or equities). Equity-linked products in Korea have recently gained popularity due to relatively low interest rates. This paper discusses an equity-linked security whose principal is not guaranteed. The payoff of the ELS depends on the returns of two underlying assets. This paper presents numerical prices of the proposed product by using Monte-Carlo simulation method. It assumes that the log-returns of two stocks follow either Brownian motion or variance gamma process. Finally, the comparison of the two approaches is discussed.

• 대한수학회보
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• 제50권6호
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• pp.2035-2051
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• 2013

In this paper, we study numerical schemes for solving multi-dimensional option pricing problem. We compare the direct solving method and the Operator Splitting Method(OSM) by using finite difference approximations. By varying parameters of the Black-Scholes equations for the maximum on the call option problem, we observed that there is no significant difference between the two methods on the convergence criterion except a huge difference in computation cost. Therefore, the two methods are compatible in practice and one can improve the time efficiency by combining the OSM with parallel computation technique. We show numerical examples including the Equity-Linked Security(ELS) pricing based on either two assets or three assets by using the OSM with the Monte-Carlo Simulation as the benchmark.

• Communications for Statistical Applications and Methods
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• 제27권1호
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• pp.79-95
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• 2020

The globalization of financial markets has broadened investment opportunities. International investors' investment portfolios consist of financial instruments from various countries; consequently, the risks associated with economic dependence among countries should be carefully considered. Step-down equity-linked securities (ELS) are a structured financial product that have recently become popular among Korean investors. Payoffs are based on two or three stock indices from different regions; therefore, dependence between the indices should be reflected in the risk analysis. In this study, we consider a regime-switching copula model to describe the joint behavior of two stock indices- the Eurostoxx50 and the Hang Seng China Enterprises Index (HSCEI). These indices are commonly used as underlying assets of step-down ELS. Using historical data, we analyze the risk associated with step-down ELS through the probabilities of early redemption. A regime-switching copula model can accommodate complicated dependence. Thus, it should be considered in the risk analysis of step-down ELS.

• 동아시아경상학회지
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• 제11권2호
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• pp.71-80
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• 2023

Purpose - The pandemic has magnified and deepened existing socioeconomic disparities, including healthcare, education, income, gender, and housing. This study aims to examine the intersectionality of these disparities and their implications for promoting equity and justice. Research design, data, and methodology - This study is a comprehensive review of the literature on the impact of the COVID-19 pandemic on socioeconomic disparities. The review includes empirical studies, policy reports, and academic articles on healthcare, education, income, gender, and housing disparities. Result - The pandemic has exposed significant disparities in healthcare, education, income, gender, and housing. Healthcare disparities have been highlighted, and there is a need for more equitable access to care and addressing social determinants of health. Educational and income disparities are closely linked, perpetuating cycles of poverty and inequality. Gender disparities have been exacerbated, with women experiencing disproportionate impacts on their health, well-being, and economic security. The pandemic has highlighted the need for safe, stable, and affordable housing. Conclusion - The pandemic has brought to light numerous socioeconomic disparities that require systemic change to address. Promoting equity and justice requires a comprehensive, long-term approach that addresses systemic factors and promotes social and economic equity. By taking action to address these issues, we can create a more just and equitable society that promotes the health and well-being of all its members.

• Communications for Statistical Applications and Methods
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• 제28권3호
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• pp.251-265
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• 2021

This paper discusses the pricing of autocallable structured product with knock-in (KI) feature using the exit probability with the Brownian Bridge technique. The explicit pricing formula of autocallable ELS derived in the existing paper handles the part including the minimum of the Brownian motion using the inclusion-exclusion principle. This has the disadvantage that the pricing formula is complicate because of the probability with minimum value and the computational volume increases dramatically as the number of autocall chances increases. To solve this problem, we applied an efficient and robust simulation method called the Brownian Bridge technique, which provides the probability of touching the predetermined barrier when the initial and terminal values of the process following the Brownian motion in a certain interval are specified. We rewrite the existing pricing formula and provide a brief theoretical background and computational algorithm for the technique. We also provide several numerical examples computed in three different ways: explicit pricing formula, the Crude Monte Carlo simulation method and the Brownian Bridge technique.