High-dimensional Hawkes processes for limit order books: modelling,empirical analysis and numerical calibration

High-dimensional Hawkes processes with exponential kernels are used to describe limit order books in order-driven financial markets. The dependencies between orders of various types are carefully studied and modelled, based on a thorough empirical analysis. The observation of inhibition effects is particularly interesting, and leads us to the use of non-linear Hawkes processes. Specific attention is devoted to the calibration problem, in order to account for the high dimensionality of the problem and the very poor convexity properties of the MLE. Our analyses show a good agreement between the statistical properties of order book data and those of the model.     

Performance of advanced stock price models when it becomes exotic: an empirical study

Annals of Finance - We calibrate several advanced stock price models to a time series of real market data of European options on the DAX. Via a Monte Carlo simulation, we price barrier down-and-out...     

Limit order books and trade informativeness

In the microstructure literature, information asymmetry is an important determinant of market liquidity. The classic setting is that uninformed dedicated liquidity suppliers charge price concessions when incoming market orders are likely to be informationally motivated. In limit order book (LOB) markets, however, this relationship is less clear, as market participants can switch roles, and freely choose to immediately demand or patiently supply liquidity by submitting either market or limit orders. We study the importance of information asymmetry in LOBs based on a recent sample of 30 German Deutscher Aktienindex (DAX) stocks. We find that Hasbrouck's (1991) measure of trade informativeness Granger causes book liquidity, in particular that required to fill large market orders. Picking-off risk due to public news-induced volatility is more important for top-of-the book liquidity supply. In our multivariate analysis, we control for volatility, trading volume, trading intensity and order imbalance to isolate the effect of trade informativeness on book liquidity.     

Price limit changes,order decisions,and stock price movements: an empirical analysis of the Taiwan Stock Exchange

Review of Quantitative Finance and Accounting - This study examines the relationships among price limit changes, order submission decisions, and stock returns in the Taiwan Stock Exchange....     

Size-related anomalies and stock return seasonality: Further empirical evidence

This study examines, month-by-month, the empirical relation between abnormal returns and market value of NYSE and AMEX common stocks. Evidence is provided that daily abnormal return distributions in January have large means relative to the remaining eleven months, and that the relation between abnormal returns and size is always negative and more pronounced in January than in any other month — even in years when, on average, large firms earn larger risk-adjusted returns than small firms. In particular, nearly fifty percent of the average magnitude of the ‘size effect’ over the period 1963–1979 is due to January abnormal returns. Further, more than fifty percent of the January premium is attributable to large abnormal returns during the first week of trading in the year, particularly on the first trading day.     

Currency devaluation and stock market response: An empirical analysis

We study local stock market reaction to currency devaluation by a country's central bank. Devaluations appear to be anticipated by the local stock markets, and there are significant negative abnormal returns even one year prior to the announcement of the devaluation. A negative trend in stock returns persists for up to one quarter following the first announcement, and then becomes positive thereafter, suggesting a reversal. We explore whether changes in macroeconomic variables prior to currency devaluations are related to abnormal stock returns. We find that stock returns are significantly lower if the devaluation is larger and if the country is a developing nation. Furthermore, stock markets decline more around devaluations if reserves are lower, if the real exchange rate has depreciated over the prior years, if the capital account has declined, if the current account deficit has gone up, or if the country credit rating has deteriorated.     

Common stock repurchases and market signalling: An empirical study

This paper examines the pricing behavior of securities of firms which repurchase their own shares. The results are consistent with a market in which investors price securities such that expected arbitrage profits are precluded. The results are also consistent with the hypothesis that firms offer premia for their own shares mainly in order to signal positive information, and that the market uses the premium, the target fraction and the fraction of insider holdings as signals in order to price securities around the announcement date. The observation that repurchases via tender offer are followed by abnormal increases in earnings per share and that mainly small firms engage in repurchase tender offers, provides further support for the signalling hypothesis.     

Impact of liquidity on stock returns: an empirical investigation of the Tunisian stock market

This paper investigates the return–liquidity relationship on one Middle East and North Africa frontier market, the Tunisian Stock Exchange (TSE). The findings provide evidence that there is a significant and positive premium for companies with high price impact and low trading frequency. However, Tunisian investors appreciate more low spread stocks. We show, also, a non-linear relation between potential delays of execution and stock returns. In addition, we find that Tunisian investors require a premium to compensate past cumulative illiquidity risk (high price impact, low turnover and high potential delay of execution) over the prior three to 12 months and to compensate past cumulative spread over 12 months. We point out also that these effects are seasonal.     

The Japanese stock market and the macroeconomy: An empirical investigation

We investigate the relationship between macroeconomic variables, such as the industrial production index, interest rate and inflation rate, and the stock market, using Toda and Yamamoto (1995)'s vector autoregressions (VAR) specification. The major findings are: (1) macroeconomic variables do Granger cause the stock market variable, while reverse is not so clear. (2) The lagged stock market variable affects its current value but its impact tend to diminish in the long-run. Policy implication we draw is that the price keeping operation by the Japanese government would not work, but appropriate macroeconomic policies would benefit not only the real market but also the stock market.     

Socially responsible investing and stock performance: New empirical evidence for the US and European stock markets

This paper empirically examines the theoretically ambivalent relationship between socially responsible investing (SRI) and stock performance. It contributes to the existing literature by considering both the US and the entire European stock markets and by using consistent world-wide corporate sustainability performance data. Our portfolio analysis from 1998 to 2009 is based on the common four-factor model according to Carhart (1997), which comprises market return, size, value, and momentum factors. We show for the US and the European stock markets that SRI is associated with large-sized firms. The insignificant abnormal stock returns for SRI in both regions are the main result of our paper. Therefore, our study supports the view that SRI stocks are correctly priced by market participants, although we cannot rule out that a corresponding mispricing has existed before the beginning of our observation period in 1998.     

ISO order imbalances and individual stock returns

I examine the relation between intermarket sweep order (ISO) order imbalances and the daily returns of individual stocks. First, I show that ISO order imbalances are positively related to contemporaneous returns. Second, I find that price pressures emanating from ISO imbalances are persistent and predict cumulative abnormal returns up to 2 months. The predictive power of ISO order imbalances on contemporaneous and future abnormal returns is strongest for firms in the smallest firm size quintile. Finally, I analyze herding among ISO order imbalances and find strong commonality. My results indicate that ISOs contribute to both short‐ and long‐term return formation.     

An empirical analysis of European stock repurchases

In this paper, we examine the share price effects and determinants of share repurchase programs for French, German, Italian, and British firms. Like US firms, we find that German and Italian share repurchases are met with a positive and significant share price response. However, British repurchase announcements exhibit small positive abnormal returns, and abnormal returns for French share repurchases are insignificantly different from zero, both results being quite different from results found in studies of US firms. We also investigate the determinants of the size of the share repurchase program.Our results indicate support for the Undervaluation Hypothesis and the Takeover Deterrence Hypothesis, and provide partial support for the National Investment Opportunity Set Hypothesis. Our results from our analysis of cumulative abnormal returns are also consistent with the Undervaluation, Takeover Deterrence, and National Investment Opportunity Set Hypotheses. However, we do not find support for the Excess Capital Hypothesis, the Intangibility Hypothesis or the Optimal Leverage Ratio Hypothesis.     

An empirical investigation of Yankee stock offerings

This paper examines the operating and investment performance of 100 foreign firms that conduct their initial public offerings (IPOs) in the U.S. (Yankee stock offerings). The uniqueness of these firms is that the U.S. IPOs are their first public equity issue in any market, including the home market. We find significant improvement in the operating performance subsequent to these U.S. IPO events and firms from countries with poor investor protection benefit more. Compared to various benchmarks, unlike the significant underperformance of IPOs documented in many countries, these firms show no significant abnormal long-run stock market performance after 1, 3, or 5 years of seasoning. The findings are consistent with signaling and selective entry hypotheses.     

Volatility increases subsequent to stock splits: An empirical aberration

This paper analyzes the empirical behavior of stock-return volatilities prior to and subsequent to the ex-dates of stock splits. The evidence demonstrates rather unambiguously that there is, on the average, an approximately 30% ‘arbitrary’ increase in the return standard deviations following the ex-date. The increase holds for both daily and weekly data, and it is not temporary. No explanatory confounding variables, such as institutional frictions affecting price observations, have been identified. We view the findings as being essentially inconsistent with the notion of ‘rational pricing’.     

An empirical analysis of common stock call exercise: A note

This study tests the hypothesis that common stock call options are exercised rationally and in accordance with the commonly used frictionless markets boundary conditions. Using two years of historical early exercise data for common stock call options, the results show that contrary to the frictionless markets boundary conditions, approximately 20 percent of the early call exercise occurs at times other than ex-dividend dates. While most of the non-dividend related early exercise may be explained by transactions costs, a significant number of contracts appear to be exercised irrationally. These results suggest that failure to incorporate market frictions in option pricing models is likely to lead to specification error.     

Centralised order books versus hybrid order books: A paired comparison of trading costs on NSC (Euronext Paris) and SETS (London Stock Exchange)

This article compares the cost of trading large capitalisation equities on the hybrid order-driven segment of the London Stock Exchange and the centralised electronic order book of Euronext. Using samples of stocks matched according to economic sector, free float capitalisation, and trading volume, our study shows that transaction costs are lower on the centralised order book than on the hybrid order book. The presence of dealers outside the electronic order book favours the frequency of large trades, but is associated with higher execution costs for all other trades and higher adverse selection and inventory costs inside the order book.     

An empirical analysis of the stock price-volume relationship

This paper investigates the empirical relationship between absolute stock price changes and trading volume in the stock market. Using Granger causality tests we find that there is a significant causal relationship between absolute price changes and volume at the firm level and that this relationship is stronger in periods surrounding earnings announcements. We view this as suggesting that information arrival follows a sequential rather than a simultaneous process, although the results do not support an extreme version of either information arrival model.     

Myopic loss aversion and stock investments: An empirical study of private investors

Myopic loss aversion was suggested by Benartzi and Thaler (1995) as an explanation for the equity premium puzzle. Its main prediction is that loss averse investors, who evaluate their investment performance too frequently and therefore often observe small losses on their stock portfolios, would invest too little in equity. We investigate the link between myopic loss aversion and actual investment decisions of individual investors, using survey data. Our results are consistent with the predictions of Benartzi and Thaler. Higher myopic loss aversion is associated with lower stock investment as a share of total assets. Investors tend to evaluate their stock portfolio performance too often, which contributes to the prevalence of myopic loss aversion. The effect of myopia is most apparent when investors both evaluate their portfolios frequently and trade stocks regularly.     

Regional integration of the East Asian stock markets: An empirical assessment

The aim of this paper is to study the dynamics of regional financial integration in East Asia over the 1990:01–2012:08 period. To this end, we use the international capital asset pricing model (ICAPM) to assess the evolution of financial market integration through time and evaluate their risk premia. We also construct an Asian currency basket in order to obtain a reference currency in this area. Our empirical analysis is based on the multivariate GARCH-DCC approach with time-varying correlations. Our results show that the East Asian stock markets were partially segmented (except for Japan) within their region until approximately 2008. However, the last years are characterized by an upward trend in the regional integration of stock markets. Our findings also show that the risk premium related to regional stock markets is significant for all countries.