Single period Markowitz portfolio selection, performance gauging and duality: a variation on Luenberger's shortage function

Markowitz portfolio theory (1952) has induced research into the efficiency of portfolio management. This paper studies existing nonparametric efficiency measurement approaches for single period portfolio selection from a theoretical perspective and generalises currently used efficiency measures into the full mean-variance space. Therefore, we introduce the efficiency improvement possibility function (a variation on the shortage function), study its axiomatic properties in the context of Markowitz efficient frontier, and establish a link to the indirect mean-variance utility function. This framework allows distinguishing between portfolio efficiency and allocative efficiency. Furthermore, it permits retrieving information about the revealed risk aversion of investors. The efficiency improvement possibility function thus provides a more general framework for gauging the efficiency of portfolio management using nonparametric frontier envelopment methods based on quadratic optimisation.

The period function of the generalized Lotka-Volterra centers

"Vegeu el resum a l'inici del document del fitxer adjunt"

On the relation between tax rates and evasion in a multi-period economy

We extend the basic tax evasion model to a multi-period economy exhibiting sustained growth. When individuals conceal part of their true income from the tax authority, they face the risk of being audited and hence of paying the corresponding fine. Both taxes and fines determine individual saving and the rate of capital accumulation. In this context we show that the sign of the relation between the level of the tax rate and the amount of evaded income is the same as that obtained in static setups. Moreover, high tax rates on income are typically associated with low growth rates as occurs in standard growth models that disregard the tax evasion phenomenon.

Smith and Rawls share a room

We consider one-to-one matching (roommate) problems in which agents (students) can either be matched as pairs or remain single. The aim of this paper is twofold. First, we review a key result for roommate problems (the ``lonely wolf'' theorem) for which we provide a concise and elementary proof. Second, and related to the title of this paper, we show how the often incompatible concepts of stability (represented by the political economist Adam Smith) and fairness (represented by the political philosopher John Rawls) can be reconciled for roommate problems.

Optimal latent period in a bacteriophage population model structured by infection-age

We study the lysis timing of a bacteriophage population by means of a continuously infection-age-structured population dynamics model. The features of the model are the infection process of bacteria, the natural death process, and the lysis process which means the replication of bacteriophage viruses inside bacteria and the destruction of them. We consider that the length of the lysis timing (or latent period) is distributed according to a general probability distribution function. We have carried out an optimization procedure and we have found the latent period corresponding to the maximal fitness (i.e. maximal growth rate) of the bacteriophage population.

Sleep 4 less

Treball de recerca realitzat per alumnes d'ensenyament secundari i guardonat amb un Premi CIRIT per fomentar l'esperit científic del Jovent l'any 2009. Aquest treball es tracta en la creació d’un projecte empresarial, és a dir, d’una planificació estratègica que afecta a tots els àmbits de la empresa al llarg d’un període de temps i que té per objectiu analitzar la viabilitat, examinar els objectius i descobrir els inconvenients del mateix. En concret s’ha projectat és un hostal ‘low cost’. Alhora de comprovar la viabilitat del projecte, s’han hagut de realitzar els tests corresponents per saber si tindria èxit o no. I tots han demostrat un resultat factible, ja que, encara que van sorgir problemes amb l’acceptació d’aquest nou estil, concretament en el fet d’haver de compartir habitació amb altres persones, al poder oferir altres tipus d’habitacions i en el cas de compartir habitació donar molta seguretat, els anàlisis ens han donat uns resultats acceptables. S’han realitzat també quadres financers, préstecs, calculat les despeses d’inici d’empresa i de manteniment, publicitat, despeses de personal, i finalment aquest també han donat un resultat de viabilitat positiu.

EU cohesion aid to Spain: a data set. Part I: 2000-06 planning period

In this paper we construct a data set on EU cohesion aid to Spain during the planning period 2000-06. The data are disaggregated by region, year and function and attempt to approximate the timing of actual executed expenditure on assisted projects.

Catalonia’s participation in calls of the EU 7th Framework Programme for RTD. Period 2007-2009

English translation of the Executive summary of the report “Catalonia’s participation in calls of the EU 7th Framework Programme for RTD. Period 2007-2009” drawn up by researchers of the AQR Research Group – Research Institute of Applied Economics (IREA) of the University of Barcelona. It aims to find out the reality of the Catalonia’s participation in the EU 7th Framework Programme, the main European financial instrument for research during the period 2007-2009.

Strategies of use of a specific immunoglobulin-rich egg yolk powder in weaning piglets

Two experiments were performed to determine the best strategy of use of the product TRACTcare® 4P (ITPSA) (TC, specific immunoglobulin-rich egg yolk powder within an energetic fatty acid matrix) in piglets from weaning and for 6 weeks, in diets without or with inclusion of antibiotics. Each trial was performed with 144 piglets in 24 pens, in a completely randomized design blocked by initial body weight. Feeds were formulated according to animal requirements in two periods. In the first trial no antibiotics were included in the feeds and no room disinfection from previous trial was performed; treatments were: 1) Negative control (NC); 2) NC+TC on top of the feed within the hopper for the first 3 days on trial (30 g/pig×day), and eventually if diarrhea appeared (TCOT); 3) NC+TC ad libitum provided in an extra hopper within the pen (TCAL); and 4) NC+TC at 5 g/kg added to the feed in the mixer (TC5). In the second trial, treatments were: 1) Positive control: basal diet that included 250 mg/kg amoxiciline (BD)+100 mg/kg colistine (AC); 2) BD+2 g/kg TC (TC2A); 3) BD+5 g/kg TC (TC5A); and 4) BD+8 g/kg TC (TC8A). In diets without antibiotics, the product TC at 5 g/kg in the feed numerically improved BW by 8% compared to Control animals, while G:F was almost identical between both groups. When antibiotics were used in the feed, replacement of colistin at 100 mg/kg for TC at 2 g/kg in feed numerically improved the performance compared to Positive control animals (for the whole trial period ADG 8% better: 390 g vs. 361 g; G:F 1% better: 0.748 kg/kg vs. 0.742 kg/kg), possibly due to the stimulation of feed consumption at weaning. In both trials, the lower number of dead and culled animals from TC5 and TC2A together with higher BW represented an advantage over Control treatments of 6% to 10% animals more and 15% to 17% total BW more at the end of the trial.

Male vs Female Lupus. A comparison of ethnicity, clinical features, serology and outcome over a 30 year period

Un estudi observacional de pacients amb LES, atesos al University College de London Hospital entre 1976 i 2005, es va dur a terme per revisar les diferències entre homes i dones amb lupus pel que fa a les característiques clíniques, serologia i resultats. 439 dones i 45 homes van ser identificats. L'edat mitjana al diagnòstic va ser de 29,3 anys (12,6), sense diferències significatives entre homes i dones. El sexe femení es va associar significativament amb la presència d'úlceres orals i Ig M ACA. No hi va haver diferències significatives en la comparació de les altres variables. Durant aquest període de seguiment de trenta anys, relativament poques diferències han sorgit al comparar les freqüències de les característiques clíniques i serològiques en homes y dones amb lupus.

La recepció de la narrativa catalana contemporània traduïda a l'alemany: 1975-2009

Entre l'abril de 2007 i l'abril del 2011 vaig gaudir d'un ajut FI al Departament de Traducció i Ciencies del Llenguatge de la Universitat Pompeu Fabra. Gràcies a aquest ajut i en el marc del programa de doctorat en Comunicació Multilingüe vaig poder dur a terme un projecte de recerca sobre la recepció de la narrativa catalana traduïda a l'alemany des de 1975 fins a l’actualitat. El primer resultat d'aquest projecte és el nou treball de recerca, llegit el novembre de 2010, en el qual intento fer un balanç de les obres de narrativa d'autors catalans publicades en alemany durant els darrers 30 anys: a partir del catàleg de totes les obres da narrativa catalana traduïdes en el període estudiat, he establert una tipologia per classificar els textos en generes i per comprovar quins autors i quines obres s'han traduït majoritàriament, per quins autors i per quins generes s'han interessat més els editors alemanys i fins a quin punt es pot considerar que aquestes traduccions representen d'una manera equilibrada narrativa catalana d'aquests anys. En el treball també he analitzat les característiques de les editorials on s'han publicat les obres traduïdes i he intentat avaluar la seva recepció, a partir de la traducció dels títols i els textos de presentació de les obres. Fet aquest primer balanç, ara estic preparant quatre articles que aprofundeixen en temes plantejats al treball de recerca i que junts han de formar la meva tesi doctoral, actualment en curs d'elaboració. A banda de la meva recerca personal, l'ajut FI també m'ha permès formar-me com a investigadora, amb la publicació d'articles, la docència al departament, la participació en congressos i, sobretot, la col•laboració amb el grup de recerca TRILCAT, d'estudis de traducció, recepció i literatura catalana.

Epidemic models with an infected-infectious period

The introduction of an infective-infectious period on the geographic spread of epidemics is considered in two different models. The classical evolution equations arising in the literature are generalized and the existence of epidemic wave fronts is revised. The asymptotic speed is obtained and improves previous results for the Black Death plague

Optimization of floor cleaning coverage performance of a random path-planning mobile robot

Floor cleaning is a typical robot application. There are several mobile robots aviable in the market for domestic applications most of them with random path-planning algorithms. In this paper we study the cleaning coverage performances of a random path-planning mobile robot and propose an optimized control algorithm, some methods to estimate the are of the room, the evolution of the cleaning and the time needed for complete coverage.

EU cohesion aid to Spain: a data set. Part II: 1994-99 planning period

In this paper we construct a data set on EU cohesion aid to Spain during the planning period 1994-99. The data are disaggregated by region, year and function and attempt to approximate the timing of actual executed expenditure on assisted projects.

Impedance boundary conditions for pseudo-spectral time-domain methods in room acoustics

The pseudo-spectral time-domain (PSTD) method is an alternative time-marching method to classicalleapfrog finite difference schemes in the simulation of wave-like propagating phenomena. It is basedon the fundamentals of the Fourier transform to compute the spatial derivatives of hyperbolic differential equations. Therefore, it results in an isotropic operator that can be implemented in an efficient way for room acoustics simulations. However, one of the first issues to be solved consists on modeling wallabsorption. Unfortunately, there are no references in the technical literature concerning to that problem. In this paper, assuming real and constant locally reacting impedances, several proposals to overcome this problem are presented, validated and compared to analytical solutions in different scenarios.