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What Determines the Stock Price and the Informative Efficiency: The Omitted Information Frequency Observed

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This paper investigates the determination of the price system of the stock market. Different from previous studies, we emphasize the concept of the ”observational frequency” of information. This paper allows each informed investor to observe more than one kind of information. There are I kinds of information x1, x2,...x(subscript I) available in a competitive stock market. Since there exists information asymmetry among investors, the market information are respectively observed f1, f2,..., f(subscript I) times by N constant risk-averse traders to form a more precise estimate for the expected value of the risky asset, v, to buy the shares to maximize their own expected utility, and then to determine the stock market equilibrium simultaneously. Our main findings are as follows. First, we propose that the equilibrium price, trading quantity, and the expected utility of investors depend not only on realized value of the information but also on the observational frequencies and the precisions of the market information. The competitive equilibrium price is equal to the rational expectations equilibrium price, which aggregates all the market information according to their observational frequencies and the precisions of the market information. Second, the fully-informed economy equilibrium is a special case of the competitive equilibrium (or the rational expectations equilibrium) only when the observational frequencies of all the market information are just equal and it serves as a sufficient statistic for all the market information about the intrinsic value of the risky asset. Finally, we prove that the heterogeneity in the observational frequency of information is impossibility for informationally efficiency. Since the observational frequencies among the market information are not uniform, the equilibrium price still aggregates the market information but will not break down as the case described by Grossman (1976).

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The traditional model in the competitive stock market assumes that the observational frequency of information is uniform, and concludes that the stock market equilibrium price which aggregates market information provides a sufficient statistic reflecting all the private information in the market. However, we are the first to assume that the observational frequency of an information is not uniform. Actually, information is heterogeneous among market participants, and there is an information asymmetry among investors. The main purpose of this study is to explore the relationship among information precision, the observational frequency of information and the stock market equilibrium. The study analyze the determination of the price system in a competitive stock market, where there are l sources of information which are respectively observed f1, f2, …, fI times by risk-averse traders. Each informed investor uses information observed to form an estimate for the expected value of the firm’s true value, , and to make decisions to buy the shares to maximize his own expected utility, and hence, determine the stock market equilibrium. Our main findings are as follows: Firstly, we found that the competitive equilibrium price is equal to the rational expectations equilibrium price. Only when the observational frequencies of each piece of market information are equal, will the fully-informed equilibrium become a special case of competitive equilibrium. Secondly, we found that the market equilibrium price aggregates all the market information, contingent on each observational frequency and its precision. The market equilibrium condition and the expected utility depend not only on the realized information, but also on the observational frequency and the precision of information. The market equilibrium price will fully reflect the precision and the observational frequency of information about the future value of asset. The stock price response to an unexpected change of information is positively related to the observational frequency and the precision of that information. We found that, the heterogeneity of belief about the true value of the risky asset among investors will lead to different regimes of market equilibrium. Thirdly, when the observational frequency of each piece of market information is uniform, Grossman’s model (1976) is mathematically equivalent to a special case of our model, and the market equilibrium price could act as a sufficient statistic for all the private information about the intrinsic value of the risky asset. However, the observational frequencies of market information with asymmetry are usually not uniform such that traders still have an incentive to collect costly information. Finally, further research could investigate how accurate the market equilibrium price is as a sufficient statistic for all the market information. Key words: Information precision, observational frequency of information, stock market equilibrium, information value.

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How the Information Precision and the Information Frequency Observed Affect the Stock Market Equilibrium
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The traditional model in the competitive stock market assumes that the observational frequency of information is uniform, and concludes that the stock market equilibrium price which aggregates market information provides a sufficient statistic reflecting all the private information in the market. However, we are the first to assume that the observational frequency of information is not uniform. Actually, information is heterogeneous among market participants, and there is an information asymmetry among investors. Our main purpose is to explore the relationship among information precision, the observational frequency of information and the stock market equilibrium. We analyze the determination of the price system in a competitive stock market where there are I sources of information x1, x2,... x(subscript I) which are respectively observed f1, f2,…, f(subscript I) times by risk-averse traders. Each informed investor uses information observed to form an estimate for the expected value of the firm's true value, v, and to make decisions to buy the shares to maximize his own expected utility, and hence determine the stock market equilibrium. Our main findings are as follows: First, we find that the competitive equilibrium price is equal to the rational expectations equilibrium price. Only when the observational frequencies of each piece of market information are equal, will the fully-informed equilibrium become a special case of competitive equilibrium. Second, we find that the market equilibrium price aggregates all the market information, contingent on each observational frequency and its precision. The market equilibrium condition and the expected utility depend not only on the realized information, but also on the observational frequency and the precision of information. The market equilibrium price will fully reflect the precision and the observational frequency of information about the future value of asset. The stock price response to an unexpected change of information is positively related to the observational frequency and the precision of that information. We find that the heterogeneity of belief about the true value of the risky asset among investors will lead to different regimes of market equilibrium. Third, when the observational frequency of each piece of market information is uniform, Grossman's model (1976) is mathematically equivalent to a special case of our model, and the market equilibrium price could act as a sufficient statistic for all the private information about the intrinsic value of the risky asset. However, the observational frequencies of market information with asymmetry are usually not uniform such that traders still have an incentive to collect costly information. Finally, further research could investigate how accurate the market equilibrium price is as a sufficient statistic for all the market information.

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Many models of market balance has created by some researchers, one of this is CAPM Model, as the model to measure the market efficiency. The utilization of this model also enables to explain the role of information from public and private and valuable to advantage strategy in investation decision. In CAPM the use of index number as proxy of market information is an important issue. The index number also became a problem if they are not reflected all the market information, because the imbalance of the liquidity of stocks in the market. This research tries to test weather there is or not the cointegration under Index Mover Stock and the Composite Stock Index in ISE. If the IMS only consist of the small number of conyegration stock in CSI, it’s indicate the market information stil not reflected the whole information the public information, and the movement of the public information is influence by the private information, as vice versa. The results indicate the significant cointegration between IMS and CSI, means market information as public still not reflected the the whole available information. It is indicate JSE market still in the Weak Form Efficient Market. This research implicate it is need to be aware in the use of market index in testing the CAPM model (beta score) as proxy as the performance measurement or expected return prediction of individual stock in JSE in Weak Form Efficient Market condition is against the CAPM assumption itself. Keywords: Cointegrated, Composite Index.

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  • Cite Count Icon 1469
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  • Supplementary Content
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In this paper, we apply a ARJI-Trend model, which combining component model and ARJI model, proposed by Engle and Lee (1993) and Chan and Maheu (2002), to study the relationship of information transmission between ADR and underlying stocks and estimate the permanent and transitory factors of volatility. Five ADRs are examined in this study, including TSM, UMC, ASX, AUO, and CHT. Furthermore, the Kalman filter model is used to distinguish the trading amount rate of change into expected and unexpected rate of change, for assessing the degree of information and noise shocks. It is capable of examining whether ADR have different responses to the information in underlying stock market by observing the variations of underlying stock’s trading volume. The empirical result shows that the both shock of information and noise have response to the return of ADR by underlying stock’s volume and exists the phenomenon of “Quantity first price line”. It is also found that both permanent and transitory components of the conditional variance really exist and the shock of the temporary component of conditional variance is larger than the permanent component. Because there is no limit up or down in ADR’s secondary market, the temporary shock of stock return is larger than the permanent shock.

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We analyze the effects of stock market and exchange rate information in a forward-looking Taylor rule for monthly data from 14 OECD countries during the years 1999–2016. Especially the stock market information in the form of dividend but also the currency market information in the form of real exchange rate are revealed to be relevant in Taylor rule for many of the countries examined by helping to strengthen the role of inflation and real economic activity deviations in the policy rule. In many cases the rule also seems to be opportunistic, i.e., the inflation target has been time-varying.

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Impacts of Dividend Announcement on Stock Price: An Empirical Study of the Vietnam Stock Market
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The Vietnam stock market is a new market in which dividend taxes are higher than capital gains taxes, Vietnamese firms have a high state-ownership, a majority of dividends are paid by cash and there is significant inconsistency in dividend payouts. This paper investigates the effect of dividend increase announcements on stock price reactions. A total of 198 announcements for 101 companies listed on the HOSE market was investigated, the results indicated that announcements of dividend increase do not cause reactions in security prices. The obtained results support Black’s tax-based dividend signaling hypothesis about the condition for dividend announcements becoming market information when dividend taxes are higher than capital gains taxes. These findings of this study are also in line with other previous studies.

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