• Title/Summary/Keyword: 점프확산모형

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Bayesian inference on multivariate asymmetric jump-diffusion models (다변량 비대칭 라플라스 점프확산 모형의 베이지안 추론)

  • Lee, Youngeun;Park, Taeyoung
    • The Korean Journal of Applied Statistics
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    • v.29 no.1
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    • pp.99-112
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    • 2016
  • Asymmetric jump-diffusion models are effectively used to model the dynamic behavior of asset prices with abrupt asymmetric upward and downward changes. However, the estimation of their extension to the multivariate asymmetric jump-diffusion model has been hampered by the analytically intractable likelihood function. This article confronts the problem using a data augmentation method and proposes a new Bayesian method for a multivariate asymmetric Laplace jump-diffusion model. Unlike the previous models, the proposed model is rich enough to incorporate all possible correlated jumps as well as mention individual and common jumps. The proposed model and methodology are illustrated with a simulation study and applied to daily returns for the KOSPI, S&P500, and Nikkei225 indices data from January 2005 to September 2015.

Efficient Bayesian Inference on Asymmetric Jump-Diffusion Models (비대칭적 점프확산 모형의 효율적인 베이지안 추론)

  • Park, Taeyoung;Lee, Youngeun
    • The Korean Journal of Applied Statistics
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    • v.27 no.6
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    • pp.959-973
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    • 2014
  • Asset pricing models that account for asymmetric volatility in asset prices have been recently proposed. This article presents an efficient Bayesian method to analyze asset-pricing models. The method is developed by devising a partially collapsed Gibbs sampler that capitalizes on the functional incompatibility of conditional distributions without complicating the updates of model components. The proposed method is illustrated using simulated data and applied to daily S&P 500 data observed from September 1980 to August 2014.

Guaranteed Minimum Accumulated Benefit in Variable Annuities and Jump Risk (변액연금보험의 최저연금적립금보증과 점프리스크)

  • Kwon, Yongjae;Kim, So-Yeun
    • The Journal of the Korea Contents Association
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    • v.20 no.11
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    • pp.281-291
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    • 2020
  • This study used Gauss-Poisson jump diffusion process on standard assets to estimate the statutory reserves of Variable Annuity (VA) guarantees specified in Korean bylaw of insurance supervision and calculated guarantee fees and risks based on the model to see the effect of considering the jumps. Financial assets, except KOSPI 200, have fat-tailed return distributions, which is an indirect evidence of discontinuous jumps. In the case of a domestic stock index and foreign stock indexes(Korean Won), guarantee fees and risks decrease when jumps are considered in models of underlying assets. This is explained by decreases in standard deviations after the jump diffusion is considered. On the other hand, in the case of domestic bond indexes and a foreign bond index(Korean Won), guarantee fees and risks tend to increase when jumps are considered. Results from a foreign stock index(US Dollar) and a foreign bond index(US Dollar) were opposite to those from the same kinds of Korean Won indexes. We conclude that VA guarantee fees and risks may be under or over estimated when jumps are not considered in models of underlying assets.

Volatility, Risk Premium and Korea Discount (변동성, 위험프리미엄과 코리아 디스카운트)

  • Chang, Kook-Hyun
    • The Korean Journal of Financial Management
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    • v.22 no.2
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    • pp.165-187
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    • 2005
  • This paper tries to investigate the relationships among stock return volatility, time-varying risk premium and Korea Discount. Using Korean Composite Stock Price Index (KOSPI) return from January 4, 1980 to August 31, 2005, this study finds possible links between time-varying risk premium and Korea Discount. First of all, this study classifies Korean stock returns during the sample period by three regime-switching volatility period that is to say, low-volatile period medium-volatile period and highly-volatile period by estimating Markov-Switching ARCH model. During the highly volatile period of Korean stock return (09/01/1997-05/31/2001), the estimated time-varying unit risk premium from the jump-diffusion GARCH model was 0.3625, where as during the low volatile period (01/04/1980-l1/30/1985), the time-varying unit risk premium was estimated 0.0284 from the jump diffusion GARCH model, which was about thirteen times less than that. This study seems to find the evidence that highly volatile Korean stock market may induce large time-varying risk premium from the investors and this may lead to Korea discount.

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Valuation of American Option Prices Under the Double Exponential Jump Diffusion Model with a Markov Chain Approximation (이중 지수 점프확산 모형하에서의 마코브 체인을 이용한 아메리칸 옵션 가격 측정)

  • Han, Gyu-Sik
    • Journal of Korean Institute of Industrial Engineers
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    • v.38 no.4
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    • pp.249-253
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    • 2012
  • This paper suggests a numerical method for valuation of American options under the Kou model (double exponential jump diffusion model). The method is based on approximation of underlying asset price using a finite-state, time-homogeneous Markov chain. We examine the effectiveness of the proposed method with simulation results, which are compared with those from the conventional numerical method, the finite difference method for PIDE (partial integro-differential equation).

An Instruction Model Design for School Community of Learning Utilizing Appreciative Inquiry (긍정탐색 모형을 활용한 배움의 학교공동체 수업모형 설계)

  • Kim, Hyo-Jeong;Park, Su-Hong;Heo, Seong-Cheol
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.17 no.2
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    • pp.334-342
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    • 2016
  • This study performed an appreciative inquiry into models of instruction for the community learning. For this purpose, this study examined the principle of learning, instruction models for community learning, and appreciative inquiry. Next, draft appreciative inquiry models were built based on the principle of instruction models for the community learning. The previously designed appreciative inquiry models were revised and complemented through expert investigation by a focus group interview. This paper proposes a process of seven steps core learning activities. The seven steps were selecting a theme, interviewing for finding success story, analyzing an organization's success stories and deriving the core values, deriving future of the organization, sharing future of the organization, designing the ideal future of the organization consist of a practice, implement, and reflect. Because the proposed seven steps process is based on the literature and focus group interview, a follow-up study will be needed to verify the result.

Systematic Risk Factors Implied in the Return Dynamics of KOSPI 200 Index Options (KOSPI 200 지수(옵션)의 수익률생성과정에 내재된 체계적 위험요인)

  • Kim, Moo-Sung;Kang, Tae-Hun
    • The Korean Journal of Financial Management
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    • v.25 no.2
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    • pp.69-101
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    • 2008
  • We empirically investigate the option leverage property that should be priced under much more general conditions than the Black-Scholes assumptions and the option redundancy property that is based on the assumption that the underlying asset price follows a one-dimensional diffusion process and examine the systematic risk factors implied in the return dynamics of KOSPI 200 index options. We find that the option leverage pattern is similar to the theoretical result but the options are not redundant securities and in the nonlinear structure of option payoffs, the traders of KOSPI 200 index options price the systematic higher-moments and the negative volatility risk premium significantly affects delta-hedged gains, even after accounting for jump fears. But the empirical evidence on jump risk preference is less conclusive.

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Application to the Stochastic Modelling of Risk Measurement in Bunker Price and Foreign Exchange Rate on the Maritime Industry (확률변동성 모형을 적용한 해운산업의 벙커가격과 환율 리스크 추정)

  • Kim, Hyunsok
    • Journal of Korea Port Economic Association
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    • v.34 no.1
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    • pp.99-110
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    • 2018
  • This study empirically examines simple methodology to quantify the risk resulted from the uncertainty of bunker price and foreign exchange rate, which cause main resources of the cost in shipping industry during the periods between $1^{st}$ of January 2010 and $31^{st}$ of January 2018. To shed light on the risk measurement in cash flows we tested GBM(Geometric Brownian Motion) frameworks such as the model with conditional heteroskedasticity and jump diffusion process. The main contribution based on empirical results are summarized as following three: first, the risk analysis, which is dependent on a single variable such as freight yield, is extended to analyze the effects of multiple factors such as bunker price and exchange rate return volatility. Second, at the individual firm level, the need for risk management in bunker price and exchange rate is presented as cash flow. Finally, based on the scale of the risk presented by the analysis results, the shipping companies are required that there is a need to consider what is appropriate as a means of risk management.