Challenges in approximating the Black and Scholes call formula with hyperbolic tangents

Decisions in Economics and Finance - In this paper, we introduce the concept of standardized call function and we obtain a new approximating formula for the Black and Scholes call function through...     

Human capital mobility patterns in the European Union and the financial crisis

This paper provides new evidence on the quantification of economic losses and/or gains from skilled human capital mobility in terms of GDP and productivity in several EU countries during and after the Great Recession. We construct two novel indicators to quantify and compare the economic effects of human capital mobility across EU countries in 2008, 2012, and 2016. Through hierarchical clustering, we created groups of countries to perform a non-parametric MANOVA. The results suggest the existence of three groups of countries aggregated by similar economic and mobility patterns. The differences between these groups are significant and allow us to delineate the countries’ gains and losses.

     

Forecasting inflation and tracking monetary policy in the euro area: does national information help?

The ECB target is set in terms of the year on year growth rate of the euro area Harmonized Index of Consumer Prices. Nonetheless, a good deal of attention is given to national data by market analysts when they try to anticipate monetary policy moves. In this paper we use the Generalized Dynamic Factor Model to develop a set of core inflation indicators that, combining national data with area wide information, allow us to answer two related questions. The first is whether country specific data actually bear any relevance for the future path of area wide price growth, over and above that already contained in area wide data. The second is whether to track ECB monetary policy decisions it is useful to take into account national information and not only area wide statistics. Within our empirical framework we find that once area wide information is properly taken into account the contribution of national idiosyncratic developments is negligible.     

Internal and external factors in innovation persistence

This paper contributes to the analysis of the persistence of innovation activities, as measured by total factor productivity (TFP), and explores its internal and external determinants stressing its path-dependent characteristics. The external conditions, namely the quality of local knowledge pools and the strength of the Schumpeterian rivalry, along with the internal conditions (the actual levels of dynamic capabilities, as proxied by wage levels and firm size) exert a specific and localised effect upon the persistent introduction of innovations. A multiple transition probability matrixes (MTPMs) approach has been implemented to capture the contingent effects of external factors on long-term innovation persistence. The empirical analysis of the dynamics of firm-level TFP for a sample of approximately 7000 Italian manufacturing companies observed during the years 1996–2005 is based on both the comparison of different transition probability matrixes and on dynamic discrete choice panel data models. The evidence provided by the test of MTPMs in sub-periods suggests that innovation persistence is path-dependent, as opposed to past-dependent.     

Does trade credit redistribution thwart monetary policy? Evidence from Italy

Italy is an ideal candidate for testing the credit view of the transmission mechanism because of a bank-centred financial structure, a sizeable trade debt, and an economy titled towards small firms. An empirical analysis of trade credit and debt on averaged panel data shows that small firms act as financially constrained and cycle-sensitive, whereas large ones aim at smoothing sales, adopt an integrated management of inventories and receivables and have a higher trade debt to purchases elasticity. On balance, the net trade credit channel does not, as implied by the credit view, shield small firms from a monetary squeeze.     

Complexity and technological change: knowledge interactions and firm level total factor productivity

The analysis of social interactions as drivers of economic dynamics represents a growing field within the economics of complexity. Social interactions are a specific form of interdependence whereby the changes in the behavior of other agents affect utility functions for households and production functions for producers. In this paper, we apply the general concept of social interactions to the area of the economics of innovation and we articulate the view that knowledge interactions play a central role in the generation of new technological knowledge so that innovation becomes the emergent property of a system, rather than the product of individual actions. In particular, we articulate and test the hypothesis that different layers of knowledge interactions play a crucial role in determining the rate of technological change that each firm is able to introduce. The paper presents an empirical analysis of firm level total factor productivity (TFP) for a sample of 7,020 Italian manufacturing companies observed during the years 1996–2005. This will enable us to identify the distinctive role of regional, inter-industrial and localized intra-industrial knowledge interactions as distinctive and significant determinants, together with internal research and innovation efforts, of changes in firm level TFP.     

Assessing excess liquidity in the euro area: the role of sectoral distribution of money

The strong and prolonged deviation of money growth from its reference value since 2001 has caused concern among policy-makers about the upside risks to price stability from monetary developments. In this article we provide evidence that these risks might have been smaller until 2005 than regularly assumed. Three basic findings support this view. First, a sectoral breakdown of money holdings shows that current excess liquidity conditions have been partly related to the acceleration of nonbank financial intermediaries’ money demand, as well as to the accumulation of marketable instruments. Such increases are likely to be associated more to portfolio choices than to transaction motives. Second, evidence from balance sheet data on investment funds points to a general increase in the relative importance of this sector in the economy, rather than to a higher degree of liquidity of their asset positions, thus reflecting, to a large extent, a permanent change in the financial structure of the economy. Third, excess liquidity measures that exclude nonbank financial intermediaries’ money holdings have more predictive power for future inflation at medium-term horizons than those that include them.     

Partnership,reciprocity and team design

This paper studies the effect of intention-based reciprocity preferences on the free-riding problem arising in partnerships. Our results suggest a tendency of efficient partnerships to consist of members whose sensitivity to reciprocity is – individually or jointly – sufficiently high. Sufficient conditions for the implementation of the efficient strategy profile require a reciprocity-based sharing rule so that each partner gets a fraction of the output, which is a percentage of his own sensitivity to reciprocity with respect to the overall sensitivity in the team. Finally, we introduce the concept of psychological strong Nash equilibrium and show that it allows for the unique and collusion-proof implementation of the efficient strategy profile.     

Consistent inference in fixed-effects stochastic frontier models

The classical stochastic frontier panel data models provide no mechanism to disentangle individual time invariant unobserved heterogeneity from inefficiency. Greene (2005a, b) proposed the so-called “true” fixed-effects specification that distinguishes these two latent components. However, due to the incidental parameters problem, his maximum likelihood estimator may lead to biased variance estimates. We propose two alternative estimators that achieve consistency for $n\to \infty$ with fixed $T$. Furthermore, we extend the Chen et al. (2014) results providing a feasible estimator when the inefficiency is heteroskedastic and follows a first-order autoregressive process. We investigate the behavior of the proposed estimators through Monte Carlo simulations showing good finite sample properties, especially in small samples. An application to hospitals’ technical efficiency illustrates the usefulness of the new approach.     

Co‐integration Rank Determination in Partial Systems Using Information Criteria

We investigate the asymptotic and finite sample properties of the most widely used information criteria for co‐integration rank determination in ‘partial’ systems, i.e. in co‐integrated vector autoregressive (VAR) models where a sub‐set of variables of interest is modelled conditional on another sub‐set of variables. The asymptotic properties of the Akaike information criterion (AIC), the Bayesian information criterion (BIC) and the Hannan–Quinn information criterion (HQC) are established, and consistency of BIC and HQC is proved. Notably, the consistency of BIC and HQC is robust to violations of weak exogeneity of the conditioning variables with respect to the co‐integration parameters. More precisely, BIC and HQC recover the true co‐integration rank from the partial system analysis also when the conditional model does not convey all information about the co‐integration parameters. This result opens up interesting possibilities for practitioners who can now determine the co‐integration rank in partial systems without being concerned about the weak exogeneity of the conditioning variables. A Monte Carlo experiment based on a large dimensional data generating process shows that BIC and HQC applied in partial systems perform reasonably well in small samples and comparatively better than ‘traditional’ methods for co‐integration rank determination. We further show the usefulness of our approach and the benefits of the conditional system analysis in two empirical illustrations, both based on the estimation of VAR systems on US quarterly data. Overall, our analysis shows the gains of combining information criteria with partial system analysis.