En esta presentación se analizan las diferentes razones que contribuyen a que las Matemáticas se encuentren, hoy en día, en un primer plano de actualidad. Destacaríamos, en primer lugar, su presencia, como lenguaje y herramienta fundamental, en todas las ciencias (incluidas las sociales) y ramas de la tecnología. Nos detendremos en temas específicos en los…
We study experimentally how to prevent bank runs using a mechanism inspired in Andolfatto et al. (2017). They propose a mechanism that eliminates bank runs as an equilibrium situation of the deposit contract and implements uniquely the efficient outcome. In our experimental enviroment bank runs may emerge both as a coordination failure in equilibrium and…
ABSTRACT: Adaptive learning (AL) takes over other features needed to generate a sizable term premium under rational expectations. Indeed, a time-varying term premium emerges in a first-order approximation of a DSGE model under AL. We estimate a real-time AL model that builds on Slobodyan and Wouters (2012a). Our extension disentangles the expectations hypothesis of the term structure (EH)…
Abstract: By using robustness methods we design HCRs that explicitly include scientific uncertainty. Under scientific uncertainty –when the perceived model can be generated by a nearby operating model– robust HCRs are designed assuming that the (inferred) operating model is more persistent than the perceived model. As a result, a robust HCR has a steeper ratio…
Abstract Un problema clásico en el campo de la matemática financiera es el encontrar carteras de inversiones óptimas en el caso de que varias inversiones sean posibles. Si el inversor tiene información privilegiada, al menos dos cosas mejoran. La primera, obviamente, sus probabilidades de obtener beneficio. La segunda, el perfil de las matemáticas necesarias para…
Abstract This paper introduces a novel semi-nonparametric (SNP) distribution that we name Expansion of Moments (ME hereafter). The innovation of this density lies in its polynomials given by the difference between the n-th power of the variable and the n-th moment of the parametric density used as basis. We show that the ME keeps the…
Abstract El Banco de Barcelona se creó en 1844 alrededor de un grupo de individuos que, hacia mediados de la década de 1850, tenían establecida una amplia red social conformada a través de las inversiones del grupo en las principales sociedades anónimas de la época ((Badia-Miró, Blasco-Martel, Lozano, & Soler, 2013) y (Badia-Miro, Blasco-Martel, Lozano,…
ABSTRACT: The identification of asymmetric conditional heteroscedasticity is often based on sample cross-correlations between past and squared observations. In this paper we analyse the effects of outliers on these cross-correlations and, consequently, on the identification of asymmetric volatilities. We show that, as expected, one isolated big outlier biases the sample cross-correlations towards zero and hence could hide true leverage…
ABSTRACT: Classical option pricing models are not well suited to the valuation of executive stock options (ESOs) and their incentive effects. The special characteristics of ESOs make standard methods difficult to apply to these options. The Wu-Lin model is a completely analytical expression based on the common feature of attaching performance targets to option vesting….
Abstract Nowadays copulas are extensively used in economic and finance applications, with the Gaussian copula being very popular despite ruling out non-linear dependence, particularly in the lower tail. We derive computationally simple and intuitive expressions for score tests of Gaussian copulas against Generalised Hyperbolic alternatives, which include the symmetric and asymmetric Student t, and Hermite polynomial expansions. We…
