• Title/Summary/Keyword: mean-reversion

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Volatility Puzzle, Equity Premium Puzzle, And Mean Reversion; Are They Interrelated Phenomena?

  • Choi, Sung-Sup
    • The Korean Journal of Financial Studies
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    • v.2 no.1
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    • pp.145-158
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    • 1995
  • According to recent empirical studies, there is a systematic pattern in temporal behaviors of asset returns, and that systematic pattern is related to the business cycle. I propose a model which captures this evidence. This is done by considering a state dependent preference structure where state dependency is related to the business cycle. In this setting, the three main puzzles(i.e., the volatility puzzle, the equity premium puzzle, mean reversion) are understood as interrelated behaviors.

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Spurious Mean-Reversion of Stock Prices in the State-Space Model (상태-공간 모형에서의 주가의 가성 평균-회귀)

  • Choi, Won-Hyeok;Jun, Duk-Bin;Kim, Dong-Soo;Noh, Jae-Sun
    • Journal of the Korean Operations Research and Management Science Society
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    • v.36 no.1
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    • pp.13-26
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    • 2011
  • In order to explain the U-shaped pattern of autocorrelations of stock returns i.e., autocorrelations starting around 0 for short-term horizons and becoming negative and then moving toward 0 for long-term horizons, researchers suggested the use of a state-space model consisting of an I(1) permanent component and an AR(1) stationary component, where the two components are assumed to be independent. They concluded that auto-regression coefficients derived from the state-space model follow a U-shape pattern and thus there is mean-reversion in stock prices. In this paper, we show that only negative autocorrelations are feasible under the assumption that the permanent component and the stationary component are independent in the state-space model. When the two components are allowed to be correlated in the state-space model, we show that the sign of the auto-regression coefficients is not restricted as negative. Monthly return data for all NYSE stocks for the period from 1926 to 2007 support the state-space model with correlated noise processes. However, the auto-regression coefficients of the ARIMA process, equivalent to the state-space model with correlated noise processes, do not follow a U-shaped pattern, but are always positive.

Long Term Mean Reversion of Stock Prices Based on Fractional Integration

  • Jun, Duk-Bin;Kim, Yong-Jin;Park, Dae-Keun
    • Management Science and Financial Engineering
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    • v.17 no.2
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    • pp.85-97
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    • 2011
  • In this study we examine the long term behavior of stock returns. The analysis reveals that negative autocorrelations of the returns exist for a super-long horizon as long as 10 years. This pattern, however, contrasts to predictions of previous stock price models which include random walks. We suggest the introduction of a fractionally integrated process into a nonstationary component of stock prices, and demonstrate empirically the existence of the process in NYSE stock returns. The predicted values of autocorrelation from our stock price model confirm the super-long term behavior of the returns observed in regression, indicating that inefficiency in the stock market could remain for a long time.

Are Korean Industry-Sorted Portfolios Mean Reverting?

  • Moon, Seongman
    • East Asian Economic Review
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    • v.20 no.2
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    • pp.169-190
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    • 2016
  • This paper tests the weak-form efficient market hypothesis for Korean industry-sorted portfolios. Based on a panel variance ratio approach, we find significant mean reversion of stock returns over long horizons in the pre Asian currency crisis period but little evidence in the post-crisis period. Our empirical findings are consistent with the fact that Korea accelerated its integration with international financial market by implementing extensive capital liberalization since the crisis.

BUYING AND SELLING RULES FOR A SIMPLE TRANSACTION OF A MEAN-REVERTING ASSET

  • Shin, Dong-Hoon
    • The Pure and Applied Mathematics
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    • v.18 no.2
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    • pp.129-139
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    • 2011
  • We consider an optimal trading rule in this paper. We assume that the underlying asset follows a mean-reverting process and the transaction consists of one buying and one selling. To maximize the profit, we find price levels to buy low and to sell high. Associated HJB equations are used to formulate the value function. A verification theorem is provided for sufficient conditions. We conclude the paper with a numerical example.

Reappraisal of Mean-Reversion of Stock Prices in the State-Space Model (상태공간모형에서 주가의 평균회귀현상에 대한 재평가)

  • Jeon, Deok-Bin;Choe, Won-Hyeok
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2006.11a
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    • pp.173-179
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    • 2006
  • In order to explain a U-shape pattern of stock returns, Fama and French(1988) suggested the state-space model consisting of I(1) permanent component and AR(1) stationary component. They concluded the autoregression coefficient induced from the state-space model follow the U-shape pattern and the U-shape pattern of stock returns was due to both negative autocorrelation in returns beyond a year and substantial mean-reversion in stock market prices. However, we found negative autocorrelation is induced under the assumption that permanent and stationary noise component are independent in the state-space model. In this paper, we derive the autoregression coefficient based on ARIMA process equivalent to the state-space model without the assumption of independency. Based on the estimated parameters, we investigate the pattern of the time-varying autoregression coefficient and conclude the autoregression coefficient from the state-space model of ARIMA(1,1,1) process does not follow a U-shape pattern, but has always positive sign. We applied this result on the data of 1 month retums for all NYSE stocks for the 1926-85 period from the Center for Research in Security Prices.

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Genotoxicity Evaluation Using Reversion Mutation Test of SU-Eohyeol Pharmacopuncture (SU어혈약침의 복귀돌연변이시험을 이용한 유전독성평가)

  • Ku, Jaseung;Hwang, Ji Hye
    • Journal of Physiology & Pathology in Korean Medicine
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    • v.36 no.4
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    • pp.113-119
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    • 2022
  • SU-Eohyeol pharmacopuncture(SUEP) was developed by adding Cervi Pantotrichum Cornu to Jungsongouhyul pharmacopuncture. This genotoxicity evaluation was performed to evaluate the mutagenic potential of the test substance SUEP agent using histidine, which requires strains of Salmonella typhimurium (TA98, TA100, TA1535, TA1537), and tryptophan, which requires Escherichia coli (WP2uvrA) strain in the presence and absence of metabolic activation. According to the results of the dose range finding study conducted prior to the main study, the dose levels of the test substance in the main study were determined as 100, 50, 25, 12.5, 6.25%, and positive and negative controls were established. As a result of the main study, the mean number of revertant colonies compared to negative controls was less than 2-fold at all dose levels of SUEP in all strains with and without metabolic activation. In the positive control group, the mean number of revertant colonies for each strain was markedly increased by more than two times compared to the negative control group. Based on the result of this study, the test substance, SUEP did not show any indication of mutagenic potential under the conditions of this study.

Profit Margin Hedging Strategy in Crude Oil Purchasing (이윤율헤징을 이용한 원유 구매 전략)

  • Yang, Ji Hye;Kim, Hyun Seok
    • Environmental and Resource Economics Review
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    • v.26 no.4
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    • pp.499-517
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    • 2017
  • The purpose of this article is to show profit margin hedging can be an optimal strategy in crude oil purchasing. This study theoretically analyzes profit margin hedging strategy is optimal in crude oil purchasing using expected target utility function and conducts simulations to show if the profit margin hedging is profitable. In addition, this study tests existence of mean reversion of crude oil futures prices to confirm the theory that profit margin hedging is more profitable than other strategies, such as always hedging or buying at expiration with spot price, if futures prices are mean reverting. The simulation results show that the expected utility of profit margin hedging higher than other strategies. Although we cannot find any evidence that crude oil futures prices follow mean reverting process, we can conclude that profit margin hedging can be optimal strategy in crude oil purchasing based on theoretical proof and simulation results.

Capital Structure's Mean-Reversion and Long-Term Equilibrium (자본구조의 평균회귀현상과 장기균형)

  • Son, Pan-Do;Son, Seung-Tae
    • The Korean Journal of Financial Management
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    • v.25 no.3
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    • pp.33-78
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    • 2008
  • This paper empirically examines whether firms engage in a dynamic adjustment process toward target capital structure and, whether there is a target capital structure or mean reverting using the partial adjustment model while allowing for costly adjustment. Also we investigate the empirical determinants of optimal target capital structure in long term equilibrium. As a result, our empirical model captures at least several important features of capital structure behavior for Korean listed firms. First, Korean firms pursue target capital structure and also there is mean reverting phenomenon. Second, Non-Chaebol and small firm in adjustment speed is faster than Chaebol and large firm. Third, even capital market restricts the adjustment speed interestingly. Fourth, Korean firms have target behavior according to a degree of observed gap. Fifth, Korean firms close about one-fourth of the gap between their actual and target debt ratios within one year and thence targeting behavior explains far more of the observed changes in capital structure than market timing or pecking order considerations. Sixth, capital market is significant in determining optimal capital structure.

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Comparison of the Korean and US Stock Markets Using Continuous-time Stochastic Volatility Models

  • CHOI, SEUNGMOON
    • KDI Journal of Economic Policy
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    • v.40 no.4
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    • pp.1-22
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    • 2018
  • We estimate three continuous-time stochastic volatility models following the approach by Aït-Sahalia and Kimmel (2007) to compare the Korean and US stock markets. To do this, the Heston, GARCH, and CEV models are applied to the KOSPI 200 and S&P 500 Index. For the latent volatility variable, we generate and use the integrated volatility proxy using the implied volatility of short-dated at-the-money option prices. We conduct MLE in order to estimate the parameters of the stochastic volatility models. To do this we need the transition probability density function (TPDF), but the true TPDF is not available for any of the models in this paper. Therefore, the TPDFs are approximated using the irreducible method introduced in Aït-Sahalia (2008). Among three stochastic volatility models, the Heston model and the CEV model are found to be best for the Korean and US stock markets, respectively. There exist relatively strong leverage effects in both countries. Despite the fact that the long-run mean level of the integrated volatility proxy (IV) was not statistically significant in either market, the speeds of the mean reversion parameters are statistically significant and meaningful in both markets. The IV is found to return to its long-run mean value more rapidly in Korea than in the US. All parameters related to the volatility function of the IV are statistically significant. Although the volatility of the IV is more elastic in the US stock market, the volatility itself is greater in Korea than in the US over the range of the observed IV.