Hawkes model for price and trades high-frequency dynamics

We introduce a multivariate Hawkes process that accounts for the dynamics of market prices through the impact of market order arrivals at microstructural level. Our model is a point process mainly characterized by four kernels associated with, respectively, the trade arrival self-excitation, the price changes mean reversion, the impact of trade arrivals on price variations and the feedback of price changes on trading activity. It allows one to account for both stylized facts of market price microstructure (including random time arrival of price moves, discrete price grid, high-frequency mean reversion, correlation functions behaviour at various time scales) and the stylized facts of market impact (mainly the concave-square-root-like/relaxation characteristic shape of the market impact of a meta-order). Moreover, it allows one to estimate the entire market impact profile from anonymous market data. We show that these kernels can be empirically estimated from the empirical conditional mean intensities. We provide numerical examples, application to real data and comparisons to former approaches.     

The impact of transaction duration,volume and direction on price dynamics and volatility

We explore the role of trade volume, trade direction, and the duration between trades in explaining price dynamics and volatility using an Asymmetric Autoregressive Conditional Duration model applied to intraday transactions data. Our results suggest that volume, direction and duration are important determinants of price dynamics, while duration is also an important determinant of volatility. However, the impact of volume and direction on volatility is marginal after controlling for duration, and the impact of volume on volatility appears to be confined to periods of infrequent trading.     

Transaction duration and asymmetric price impact of trades—Evidence from Australia

This paper investigates the asymmetric price impact of buyer and seller initiated trades and the informational role of the trade duration. Using trade data from the Australian Stock Exchange (ASX), our results indicate that buyer initiated trades increase the ask price more than the bid price, and seller initiated trades decrease the bid price more than the ask price. The transaction duration is modeled in a Box-Cox ACD framework. The unexpected portion of the duration is found to play a more significant role in causing price impact in both purchases and sales than the expected duration. A trade shortly after the previous trade results in higher price impact than one after a long period. We found evidence that increased trading activity is associated with larger price impact, therefore implying a higher degree of information-based trading.     

Adverse selection costs,trading activity and price discovery in the NYSE: An empirical analysis

This paper studies the role that trading activity plays in the price discovery process of a NYSE-listed stock. We measure the expected information content of each trade by estimating its permanent price impact. It depends on observable trade features and market conditions. We also estimate the time required for quotes to incorporate all the information content of a particular trade. Our results show that price discovery is faster after risky trades and also at the extreme intervals of the session. The quote adjustment to trade-related shocks is progressive and this causes risk persistency and unusual short-term market conditions.     

Impacts of trades in an error-correction model of quote prices

In this paper we analyze and interpret the quote price dynamics of 100 NYSE stocks stratified by trade frequency. We specify an error-correction model for the log difference of the bid and the ask price with the spread acting as the error-correction term, and include as regressors the characteristics of the trades occurring between quote observations, if any. From this model we are also able to extract the implied model for the spread and the mid-quote. We find that short duration and medium volume trades have the largest impacts on quote prices for all one hundred stocks. Further, we find that buys have a greater impact on the ask price than on the bid price, while sells have a greater impact on the bid price than on the ask price. Both buys and sells increase spreads in the short run, but in the absence of further trades, the spreads mean revert. Trades have a greater impact on quotes for the infrequently traded stocks than for the more actively traded stocks.     

Slow diffusion of information and price momentum in stocks: Evidence from options markets

This paper investigates the source of price momentum in the stock market using information from options markets. We provide direct evidence of the gradual information diffusion model in Hong and Stein (1999): momentum profits are larger for stocks whose information diffuses slowly into the stock market. We exploit the options markets to identify stocks with slow information diffusion speed. As informed traders trade options to realize the information that has not been fully incorporated in the stock price, we are able to enhance the momentum strategy by selecting winner/loser stocks with high growth/large drop in call option implied volatility. Our empirical strategy generates a risk-adjusted alpha of 1.8% per month over the 1996–2011 period, during which the simple momentum strategy fails to perform. The results are robust to the impact of earnings announcement, transaction costs, industry concentration, and choice of options’ moneyness and time-to-maturity. Finally, our finding is not driven by existing stock- or option-related characteristics that are known to improve momentum.     

Spot price modeling and the valuation of electricity forward contracts: The role of demand and capacity

We propose a model where wholesale electricity prices are explained by two state variables: demand and capacity. We derive analytical expressions to price forward contracts and to calculate the forward premium. We apply our model to the PJM, England and Wales, and Nord Pool markets. Our empirical findings indicate that volatility of demand is seasonal and that the market price of demand risk is also seasonal and positive, both of which exert an upward (seasonal) pressure on the price of forward contracts. We assume that both volatility of capacity and the market price of capacity risk are constant and find that, depending on the market and period under study, it could either exert an upward or downward pressure on forward prices. In all markets we find that the forward premium exhibits a seasonal pattern. During the months of high volatility of demand, forward contracts trade at a premium. During months of low volatility of demand, forwards can either trade at a relatively small premium or, even in some cases, at a discount, i.e. they exhibit a negative forward premium.     

Trade openness and inflation: The role of real and nominal price rigidities

The paper revisits the long-standing question of the impact of trade openness on the inflation–output trade-off by accounting for the effects of product market competition on price flexibility. The study develops a New-Keynesian open-economy dynamic stochastic general equilibrium model with non-constant price elasticity of demand and Calvo price setting in which the frequency of price adjustment is endogenously determined. It demonstrates that trade openness has two opposing effects on the sensitivity of inflation to output fluctuations. On the one hand, it raises strategic complementarity in firms' pricing decisions and the degree of real price rigidities, which makes inflation less responsive to changes in real marginal cost. On the other hand, it strengthens firms' incentives to adjust their prices, thereby reducing the degree of nominal price rigidities and increasing the sensitivity of inflation to changes in marginal cost. The study explains the positive relationship between competition and the frequency of price adjustment observed in the data. It also provides new insights into the effects of global economic integration on the Phillips Curve.     

The interaction between opening call auctions and ongoing trade: Evidence from the NYSE

We investigate the impact that the opening batch has on trading for the remainder of the day and what impact the prior day's trading has on the subsequent day's open. Traders have an interest in these trading impacts as their trades may cluster around opening and closing time periods. We find that the larger the volume in the opening batches, the greater the volume across the day. We also find the prior day's volume being positively related to the subsequent day's opening volume. Combined, these results suggest a continuing pattern of trade volume rolling from one day to the next. Additionally, we find that the spread in the continuous market can be partially attributed to the price change in the opening batch. We also find evidence of opening trade price reversals. Combined with the absence of price reversals following the opening trade, we conclude that the opening process may be more efficient at handling information than the continuous market.     

The immediate price impact of trades on the Australian Stock Exchange

We study the immediate price impact of a single trade executed in the Australian Stock Exchange (ASX). By ordering the top 300 stocks on the ASX in order of their free float market capitalization, a clear pattern emerges, with higher cap stocks experiencing lower price impact than lower cap stocks for the same traded volume. We investigate this relationship in detail, and show that the price impact and liquidity scale as a power of the market capitalization. This relationship is used to obtain a single market impact curve which shows average price shift as a function of volume traded. We obtain similar results for every year from 2001 to 2004.     

Energy price uncertainty and the value premium

This paper examines the impact of energy price uncertainty on a range of value anomalies. We demonstrate that the value premium is substantially stronger in periods of heightened energy price uncertainty. Energy price uncertainty exerts an asymmetric effect on the value anomalies, whereby downside energy price uncertainty accentuates the return differences between value and growth stocks compared to upside energy uncertainty. These findings are consistent with the argument that value firms possess a larger amount of inflexible assets than growth firms. Therefore, they struggle more to adjust in periods of elevated energy price uncertainty. We also demonstrate that energy price uncertainty has predictive power on the value premium one-month ahead. Using the Feasible Generalized Least Squares predictive model, energy price uncertainty can help mean-variance investors to obtain a positive annual utility gain across the value anomalies for up to 16.71%.     

Fluctuations and response in financial markets: the subtle nature of ‘random’ price changes

Using trades and quotes data from the Paris stock market, we show that the random walk nature of traded prices results from a very delilcated interplay between two opposite tendencies: long-range correlated market orders that lead to super-diffusion (or persistence), and mean revrting limit orders that lead to sub-diffusion (or anti-persistence). We define and study a model where the price, at any instant, is the result of the impact of all past trades, mediated by a non-constant ‘propagator’ in time that describes the response of the market to a single trade. Within this model, the market is shown to be, in a precise sense, at a critical point, where the price is purely diffusive and the average response function almost constant. We find empirically, and discuss theoretically, a fluctuation-response relation. We also discuss the fraction of truly informed market orders, that correctly anticipate short-term moves, and find that it is quite small.     

Zero-leverage policy and stock price crash risk: Evidence from Korea

This study examines the difference in stock price crash risk between zero-leverage and non-zero-leverage firms. We find that zero-leverage firms have a significantly higher future stock price crash risk than non-zero-leverage firms. Next, we find that the positive relation between zero-leverage policy and future stock price crash risk is more pronounced when firms have higher controlling shareholders' ownership and foreign ownership. We also find that the positive relation is more pronounced for firms with low cash holdings than for those with high cash holdings. Further, we find that the positive relation is stronger for dividend-paying firms than non-dividend-paying firms. Our results are robust to alternative estimation specifications and endogeneity concerns. Overall, our findings shed light on the extent to which extreme corporate financial policy has an impact on future stock price crash risk. Our empirical evidence also provides meaningful implications for how stakeholders (especially investors) predict stock price crash risk in the context of extremely conservative capital structure.     

Noisy information,distance and law of one price dynamics across US cities

US micro price data at the city level suggests that both the volatility and the persistence of law of one price deviations are rising in the distance between US cities. A standard two-city equilibrium model with trade costs can predict the relationship between volatility and distance but not between persistence and distance. We show that if there is imperfect information about the state of nominal aggregate demand, with noisy signals that are asymmetric across cities, then distance and persistence will be positively correlated. Our main results are shown to be robust to the introduction of sticky prices and multiple cities.     

Price dispersion, information and learning

We consider an economy where trade is decentralized and agents have incomplete information with respect to the value of money. Agents’ learning evolves from private experiences and we explore how the formation of prices interacts with learning. We show that multiple equilibria arise, and equilibria with price dispersion entail more learning than equilibria with one price. Price dispersion increases communication about private histories, which in turn increases the overall amount of information in the economy. We also compare ex ante welfare under price dispersion and one price. Our results show that, despite the existence of some meetings where no trade takes place, ex ante welfare under price dispersion may be higher than under one price.     

Short sales and speed of price adjustment: Evidence from the Hong Kong stock market

We present empirical evidence that short sales contribute to market efficiency by increasing the speed of price adjustment to not only private/public firm-specific information but also market-wide information. Shortable stocks are characterized by weaker trade continuity and stronger quote reversals. They adjust faster to new information than non-shortable counterparts. These findings remain robust even in an “up” market condition in which short sales are not binding. The amount of information incorporated in each trade is also significantly higher for shortable than non-shortable stocks in both “up” and “down” market conditions. After controlling for firm size, trading volume, liquidity, price and option trading, short sales stand out as one of the significant factors that speed up the price adjustment.     

Trade size clustering and the cost of trading at the London Stock Exchange

For the London Stock Exchange, this paper investigates differences in trading costs between market maker (off-book) and order book trades, in the context of clustering in trade sizes and prices. We report several substantial findings. Even after controlling for differences in trade size, the realised spread measure is lower for off-book trades. For the order book, trade size clustering is not associated with differences in transaction costs nor with differences in the information content of trades. For the off-book market, trades in clustered (popular) sizes carry significantly more information than non-clustered trades. Despite the significant differences in the price impact estimates between the order book and off-book, we show that traders placing large orders off-book are still better off than trading via the order book as they benefit from a large discount from the current midpoint price. Additionally, we highlight that price and size clustering tend to occur simultaneously rather than being substitutes in this market setting.     

Liquidity effects on price and return co-movements in commodity futures markets

Commodity price comovement is an important research area in finance, and previous studies have investigated the determinants of price comovement using low-frequency (monthly or quarterly) macroeconomic data. In comparison, our paper attempts to scrutinize the liquidity effect on commodity prices and return movements based on daily data. Our findings contribute to the literature in three ways. First, we find significant positively correlated price movements across different commodity markets on a daily basis, and such comovement is driven by the cross-sectional liquidity spillover effect. Second, we observe that a cointegration relationship between individual commodity prices and the global price index can be established only if the liquidity effect is controlled. Finally, instantaneous daily liquidity shocks (i.e., innovation) exert a negative impact on daily commodity returns. However, liquidity shocks do not have a significant impact on monthly returns. Our findings are robust and have significant implications for macroeconomic policymaking, such as managing inflation risk.     

Quote disclosure and price discovery in multiple-dealer financial markets

We examine the effects of price disclosure on market performancein a continuous experimental multiple-dealer market in whichseven professional market makers trade a single security. Thedealers trade with one another and with computerized informedand liquidity traders. Our key comparison is between fully publicprice queues (pretrade transparent market) and bilateral quoting(pretrade opaque). We find that opening spreads are wider andtrading volume is lower in the opaque markets due to highersearch costs there. More importantly, however, higher searchcosts also induce more aggressive pricing strategies, so thatprice discovery is much faster in the opaque markets.     

Testing Greeks and price changes in the S&P 500 options and futures contract: A regression analysis

We use a regression model to test observed price changes with Greeks as regressors. Greeks are computed using implied volatility, price-change implied volatility and historical volatility. We find sufficient evidence to reject model Greeks as unbiased responses to underlying price as well as sufficient evidence that the American version of binomial model results in biased estimates of price changes. We use options on the S&P 500 futures contracts and their underlying. We also evaluate the frequency of “wrong signs.” Call prices and their underlying move in the opposite direction almost 10 percent of the time.