• Title/Summary/Keyword: stochastic volatility models

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Estimation of Crude Oil Price Dynamics and Option Valuation (원유가격의 동태성 추정과 옵션가치 산정)

  • Yun, Won-Cheol;Park, Hojeong
    • Environmental and Resource Economics Review
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    • v.14 no.4
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    • pp.943-964
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    • 2005
  • This study estimated a wide range of stochastic process models using the frameworks of CKLS (1992) and Nowman and Wang (2001). For empirical analysis, the GMM estimation procedure is adopted for the monthly Brent crude oil prices from January 1996 to January 2005. Using the simulated price series, European call option premiums were calculated and compared each other. The empirical results suggest that the crude oil price has a strong dependency of volatility on the price level. Contrary to the results of previous related studies, it shows a weak tendency of mean reversion. In addition, the models provide different implications for pricing derivatives on crude oil.

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The extension of a continuous beliefs system and analyzing herd behavior in stock markets (연속신념시스템의 확장모형을 이용한 주식시장의 군집행동 분석)

  • Park, Beum-Jo
    • Economic Analysis
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    • v.17 no.2
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    • pp.27-55
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    • 2011
  • Although many theoretical studies have tried to explain the volatility in financial markets using models of herd behavior, there have been few empirical studies on dynamic herding due to the technical difficulty of detecting herd behavior with time-series data. Thus, this paper theoretically extends a continuous beliefs system belonging to an agent based economic model by introducing a term representing agents'mutual dependence into each agent's utility function and derives a SV(stochastic volatility)-type econometric model. From this model the time-varying herding parameters are efficiently estimated by a Markov chain Monte Carlo method. Using monthly data of KOSPI and DOW, this paper provides some empirical evidences for stronger herding in the Korean stock market than in the U.S. stock market, and further stronger herding after the global financial crisis than before it. More interesting finding is that time-varying herd behavior has weak autocorrelation and the global financial crisis may increase its volatility significantly.

Dynamic Hedging Performance and Test of Options Model Specification (시뮬레이션을 이용한 동태적 헤지성과와 옵션모형의 적격성 평가)

  • Jung, Do-Sub;Lee, Sang-Whi
    • The Korean Journal of Financial Management
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    • v.26 no.3
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    • pp.227-246
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    • 2009
  • This study examines the dynamic hedging performances of the Black-Scholes model and Heston model when stock prices drift with stochastic volatilities. Using Monte Carlo simulations, stock prices consistent with Heston's(1993) stochastic volatility option pricing model are generated. In this circumstance, option traders are assumed to use the Black- Scholes model and Heston model to implement dynamic hedging strategies for the options written. The results of simulation indicate that the hedging performance of a mis-specified Black-Scholes model is almost as good as that of a fully specified Heston model. The implication of these results is that the efficacy of the dynamic hedging performances on evaluating the specifications of alternative option models can be limited.

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