Estimation of Time Varying Adjusted Probability of Informed Trading and Probability of Symmetric Order-Flow Shock


Book Description

Recently Duarte and Young (2009) study the probability of informed trading (PIN) proposed by Easley et al. (2002) and decompose it into two parts: the adjusted PIN (APIN) as a measure of asymmetric information and the probability of symmetric order-flow shock (PSOS) as a measure of illiquidity. They provide some cross-section estimates of these measures using daily data over annual periods. In this paper we propose a method to estimate daily APIN and PSOS by extending the method in Tay et al. (2009) using high-frequency transaction data. Our empirical results show that while PIN is positively contemporaneously correlated with variance, APIN is not. On the other hand, PSOS is positively correlated with daily average effective spread and variance, which is consistent with the interpretation of PSOS as a measure of illiquidity. Compared to APIN, PSOS exhibits clustering and sporadic bursts over time.




Time-Varying Arrival Rates of Informed and Uninformed Trades


Book Description

We propose a dynamic econometric microstructure model of trading, and we investigate how the dynamics of trades and trade composition interact with the evolution of market liquidity, market depth, and order flow. We estimate a bivariate generalized autoregressive intensity process for the arrival rates of informed and uninformed trades for 16 actively traded stocks over 15 years of transaction data. Our results show that both informed and uninformed trades are highly persistent, but that the uninformed arrival forecasts respond negatively to past forecasts of the informed intensity. Our estimation generates daily conditional arrival rates of informed and uninformed trades, which we use to construct forecasts of the probability of information-based trade (PIN). These forecasts are used in turn to forecast market liquidity as measured by bid-ask spreads and the price impact of orders. We observe that PINs vary across assets and over time, and most importantly that they are correlated across assets. Our analysis shows that one principal component explains much of the daily variation in PINs and that this systemic liquidity factor may be important for asset pricing. We also find that PINs tend to rise before earnings announcement days and decline afterwards.




A Hidden Markov Process Approach to Information-Based Trading


Book Description

This paper proposes a novel approach to information-based trading, incorporating both asymmetric information and symmetric order-flow shocks. It focuses on the dynamics of securities trading and postulates that trading activities are determined by the state of nature. A two-dimensional Markov chain is used to model the hidden information states of the market and the state set is allowed to vary across time and companies. Distinguished from the prevailing approaches to information-based trading, the Hidden Markov Model (HMM) approach updates the prior belief of information states using newly observed order flows and identifies trading motives in a data-driven manner. Each trading day is associated with dynamic measures of probability of information based trading (PIN) and probability of symmetric order-flow shock (PSOS). In addition, it allows multiple occurrences of information events rather than limit the frequency of information arrival to once a day. The HMM approach does not rely on a particular market structure and it can be applied to various markets. To evaluate the HMM approach, we conduct extensive Monte Carlo simulation experiments. It shows superior performance in dynamic daily PIN and PSOS estimates as well as cumulative estimates over any time interval in all simulation scenarios, evidenced by their negligible errors compared with true values and higher accuracy than the estimates obtained from alternative approaches. Using a sample of 30 NYSE stocks, we examine the properties of the dynamic PIN estimate as a proxy for information asymmetry and the dynamic PSOS estimate as a measure of illiquidity. We also show how they can be used to explain and predict realized volatility of returns. Dynamic PSOS is a significant contributor to the realized volatility for all the stocks in the sample and its effect is more profound than dynamic PIN, reflecting dominant effect of investors' dispersed beliefs on price fluctuations.










Estimating the Probability of Informed Trading


Book Description

Using a new empirical model, I estimate the probability of trades being generated by privately informed traders. Inference is drawn on a trade-by-trade basis using data samples from the New York Stock Exchange (NYSE). The modeling setup facilitates in-depth analysis of the estimated probability of informed trading at the intraday level and for stocks with different levels of trading activity. The most important empirical results are: (a) the intradaily pattern of the inferred probability of informed trading is highly correlated with the intradaily pattern of observed quoted spreads, (b) differences in the magnitude of quoted spreads across volume categories are not exclusively related to differences in the level of informed trading, and (c) private information is incorporated faster in the quotes for high-volume stocks than in the quotes for low-volume stocks.




An Improved Estimation Method and Empirical Properties of the Probability of Informed Trading


Book Description

We propose a method to overcome a bias in the estimate of the probability of informed trading (PIN). This bias arises when the numerical maximization procedure generates corner solutions. We analyze the PIN estimates for about 80,000 stock-quarter pairs between 1993 and 2004, and observe a decreasing trend in PIN over this time period. The decimalization in January 2001 appears to accelerate this trend; the quarterly median PIN across stocks decreased by 20% since the first quarter of 2001 until the end of 2004. This provides direct evidence that the risk of trading against informed traders has reduced in recent years. We also find that the risk of informed trading is lower in the first quarter of a year than in the previous fourth quarter, especially for stocks whose price has gone up in previous year.




Measuring the Probability of Informed Trading in an Order-Driven Auction Market and a Comprehensive Analysis on the Determinants of Informed Trading


Book Description

In this study, we are able to estimate the probability of informed trading on a transactional basis, which makes the hitherto difficult task of examining the transactional dynamics between informed trading, market depth and spread feasible. In addition, we have integrated the determinants of informed trading by a comprehensive analysis.We find that, as informed traders arrive, current volume and spread increase. This supports the clustering of trading hypothesis and provides empirical evidence to Admati and Pfleiderer (1988) viewpoint that both volatility and volume increase with informed trading. The VAR result suggests that uninformed traders avoid trading with the informed, and the decision of the uninformed depends on previous condition. The decision of the informed is based more on current situation and is attracted by price volatility.Overall, it is clear that the ultimate determinants of informed trading lies with the firm's financial quality and ownership structure. The condition of the market influences the timing of the informed trading, rather than the level of informed trading between firms.




The Probability of Informed Trading and the Performance of Stock in an Order-Driven Market


Book Description

In this paper we estimate the probability of informed trading (Pi) in an order-driven stock market as well as perform a comprehensive analysis on the interrelations among probability of informed trading and three common performance indicators, i.e., liquidity, volatility and efficiency. We find that uninformed traders exhibit price chasing behavior even over very short time interval and that volatility in stock price attracts uninformed traders. Using 3SLS which takes into consideration the endogeneity of the probability of informed trading and the liquidity, volatility and efficiency measures, our empirical results provide new evidence on market microstructure literature. We find that Pi and the volatility and liquidity of stocks are simultaneously determined. Higher Pi leads to lower liquidity and higher volatility, and vice versa. Liquidity can explain volatility and efficiency, while the opposite is not true. Firms with larger size, higher ownership concentration and lower turnover have higher probability of informed trading.




Order Flow and the Bid-Ask Spread


Book Description

A probabilistic framework for the analysis of screen-based trading activity in financial markets is presented. Conditional probability functions are derived for the stationary distributions of the best bid and offer in the market, given the order flows and the acceptance rates of bids and offers. These flows are conditioned on observable screen information. A two-step method is developed for the estimation of the conditional probability functions. The estimation allows for the separate identification of the unobservable order and acceptance flows, which in turn may be used to predict the stationary distributions of the bid- ask spreads, transaction prices, and other market statistics. A formal comparison of the predicted and the sample bid-ask spread distribution provides a stringent test of the model. The necessary econometric methods for conducting such a test, taking into account the parameter estimation error uncertainty, is developed. The methodology is applied to the screen-based interbank foreign exchange market, using a newly available dataset that consists of continuously recorded bid and ask quotes on the Deutschemark/U.S. Dollar exchange rate. The model is found to provide a good description of the salient probabilistic features of the market structure, even though the formal prediction based test for the spread distribution, with more than 29,000 out-of-sample quotations, rejects the exact parametric formulation of the order flows.