Cross-impact and no-dynamic-arbitrage

We extend the ‘No-dynamic-arbitrage and market impact’-framework of Gatheral [Quant. Finance, 2010, 10(7), 749–759] to the multi-dimensional case where trading in one asset has a cross-impact on the price of other assets. From the condition of absence of dynamical arbitrage we derive theoretical limits for the size and form of cross-impact that can be directly verified on data. For bounded decay kernels we find that cross-impact must be an odd and linear function of trading intensity and cross-impact from asset i to asset j must be equal to the one from j to i. To test these constraints we estimate cross-impact among sovereign bonds traded on the electronic platform MOT. While we find significant violations of the above symmetry condition of cross-impact, we show that these are not arbitrageable with simple strategies because of the presence of the bid-ask spread.     

Optimal execution with non-linear transient market impact

We study the problem of the optimal execution of a large trade in the propagator model with non-linear transient impact. From brute force numerical optimization of the cost functional, we find that the optimal solution for a buy programme typically features a few short intense buying periods separated by long periods of weak selling. Indeed, in some cases, we find negative expected cost. We show that this undesirable characteristic of the non-linear transient impact model may be mitigated either by introducing a bid–ask spread cost or by imposing convexity of the instantaneous market impact function for large trading rates; the objective in each case is to robustify the solution in a parsimonious and natural way.     

Students’ perception of CSR and its influence on business performance. A multiple mediation analysis

Firm managers play an important role in the implementation of corporate social responsibility (CSR) actions. Education is emerging as the key factor in developing a sense of moral responsibility amongst the business students who will eventually become company managers and decision makers. The aim of this research is, thus, twofold. First, to analyze the existence of a direct positive correlation between university students’ perception of CSR and its impact on business performance; and second, to examine the extent to which two factors (advantages brought by CSR and responsibilities toward stakeholders) act as mediation variables in the aforementioned correlation. The analysis was performed with a sample of 390 business‐related university students. Amongst the potential contributions made by this study we can highlight the possibility of knowing future managers’ way of thinking and of knowing the aspects where educational centers might improve their CSR teaching.