We study the intra-day impact of algorithmic trading on the futures market to increase our understanding of algorithmic trading and its role in the price formation process. First, we find that algorithmic trading provides liquidity when the spread is wide and that algorithms enter the market at...

VaR_Delta-Normal fails in two counts: subadditivity and potentially producing losses larger than its portfolio value. This paper solves the second inconsistency developing formulas derived from a put option, named PVaR_Delta-Normal and Put_Expected_Shortfall, PSF_Delta-Normal; the latter also...

Movements in prices depend both on innovations to cashflows and changes in discount rates, which can be modelled as fluctuations in the cross-sectional distribution of wealth across an unchanging set of investment objectives. This paper explores the risk that arises when investors do not have...

The exercise of a warrant leads to the well-known dilution phenomenon, whose effects have been extensively studied over the last four decades. In contrast, the existing literature has paid inadequate attention to the volatility spillover between stockholders and warrant holders. This...

Using high-frequency intraday trading and quoting data, we study the temporal effects in index credit default swap (CDS) trading and liquidity. We find strong intraday variations in index CDS trading activities and liquidity. Unlike the U-shaped pattern in the equity market, index CDSs exhibit a...

This paper studies the trading behavior of different types of traders in commodity futures and their impact on liquidity consumption/provision as well as price discovery in the market. CME classifies each trade by its Customer Type Indicator (CTI) into four groups: a local trader who trades for...

We show that log-dividends (d) and log-prices (p) are cointegrated, but, instead of de facto assuming the stationarity of the classical log dividend–price ratio, we allow the data to reveal the cointegration vector between d and p. We define the modified dividend–price ratio (mdp), as the...

We estimate post-jump volatility-decay risk premia as the predictable ‎difference between periods of high and low diffusive volatility. By ‎constructing straddle portfolios after positive and negative jumps occur, we ‎show that the gains that these hedged options' portfolios yield...

We forecast monthly Value at Risk (VaR) and Conditional Value at Risk (CVaR) using option market data and four different econometric techniques. Independently from the econometric approach used, all models produce quick to estimate forward-looking risk measures that do not depend from the amount...

This paper documents the fact that in options markets, the (percentage) implied volatility bid-ask spread increases at an increasing rate as the option's maturity date approaches. To explain this stylized fact, this paper provides a market microstructure model for the bid-ask spread in options...