Valoración de credit default swaps: una aplicación del modelo de Hull-White al mercado español

En este trabajo se presenta una aplicación empírica del modelo de Hull-White (2000) al mercado de renta fija español. Este modelo proporciona la expresión por el cálculo de los pagos hechos por el comprador de un credit default swap (CDS), bajo la hipótesis de que no existe riesgo de contrapartida. Se supone, además, que la curva cupón cero, la tasa de recuperación constante y el momento del suceso de crédito son independientes. Se utilizan bonos del Banco Santander Central Hispano para mesurar la probabilidad neutra al riesgo de quiebra y, bajo hipótesis de no arbitraje, se calculan las primas de un CDS, por un bono subyacente con la misma calificación crediticia que la entidad de referencia. Se observa que las primas se ajustan bien a los spreads crediticios del mercado, que se acostumbran a utilizar como alternativa a las mismas.

Option valuation as an expectation in the complex domain: The Black-Scholes case

It is very well known that the first succesful valuation of a stock option was done by solving a deterministic partial differential equation (PDE) of the parabolic type with some complementary conditions specific for the option. In this approach, the randomness in the option value process is eliminated through a no-arbitrage argument. An alternative approach is to construct a replicating portfolio for the option. From this viewpoint the payoff function for the option is a random process which, under a new probabilistic measure, turns out to be of a special type, a martingale. Accordingly, the value of the replicating portfolio (equivalently, of the option) is calculated as an expectation, with respect to this new measure, of the discounted value of the payoff function. Since the expectation is, by definition, an integral, its calculation can be made simpler by resorting to powerful methods already available in the theory of analytic functions. In this paper we use precisely two of those techniques to find the well-known value of a European call

Trimestralización y conciliación de magnitudes económicas : una ampliación del método Chow-Lin

Una de las herramientas estadísticas más importantes para el seguimiento y análisis de la evolución de la actividad económica a corto plazo es la disponibilidad de estimaciones de la evolución trimestral de los componentes del PIB, en lo que afecta tanto a la oferta como a la demanda. La necesidad de disponer de esta información con un retraso temporal reducido hace imprescindible la utilización de métodos de trimestralización que permitan desagregar la información anual a trimestral. El método más aplicado, puesto que permite resolver este problema de manera muy elegante bajo un enfoque estadístico de estimador óptimo, es el método de Chow-Lin. Pero este método no garantiza que las estimaciones trimestrales del PIB en lo que respecta a la oferta y a la demanda coincidan, haciendo necesaria la aplicación posterior de algún método de conciliación. En este trabajo se desarrolla una ampliación multivariante del método de Chow-Lin que permite resolver el problema de la estimación de los valores trimestrales de manera óptima, sujeta a un conjunto de restricciones. Una de las aplicaciones potenciales de este método, que hemos denominado método de Chow-Lin restringido, es precisamente la estimación conjunta de valores trimestrales para cada uno de los componentes del PIB en lo que afecta tanto a la demanda como a la oferta condicionada a que ambas estimaciones trimestrales del PIB sean iguales, evitando así la necesidad de aplicar posteriormente métodos de conciliación

Identification of heart rate-associated loci and their effects on cardiac conduction and rhythm disorders.

Elevated resting heart rate is associated with greater risk of cardiovascular disease and mortality. In a 2-stage meta-analysis of genome-wide association studies in up to 181,171 individuals, we identified 14 new loci associated with heart rate and confirmed associations with all 7 previously established loci. Experimental downregulation of gene expression in Drosophila melanogaster and Danio rerio identified 20 genes at 11 loci that are relevant for heart rate regulation and highlight a role for genes involved in signal transmission, embryonic cardiac development and the pathophysiology of dilated cardiomyopathy, congenital heart failure and/or sudden cardiac death. In addition, genetic susceptibility to increased heart rate is associated with altered cardiac conduction and reduced risk of sick sinus syndrome, and both heart rate-increasing and heart rate-decreasing variants associate with risk of atrial fibrillation. Our findings provide fresh insights into the mechanisms regulating heart rate and identify new therapeutic targets.

Sex-stratified genome-wide association studies including 270,000 individuals show sexual dimorphism in genetic loci for anthropometric traits.

Given the anthropometric differences between men and women and previous evidence of sex-difference in genetic effects, we conducted a genome-wide search for sexually dimorphic associations with height, weight, body mass index, waist circumference, hip circumference, and waist-to-hip-ratio (133,723 individuals) and took forward 348 SNPs into follow-up (additional 137,052 individuals) in a total of 94 studies. Seven loci displayed significant sex-difference (FDR<5%), including four previously established (near GRB14/COBLL1, LYPLAL1/SLC30A10, VEGFA, ADAMTS9) and three novel anthropometric trait loci (near MAP3K1, HSD17B4, PPARG), all of which were genome-wide significant in women (P<5×10(-8)), but not in men. Sex-differences were apparent only for waist phenotypes, not for height, weight, BMI, or hip circumference. Moreover, we found no evidence for genetic effects with opposite directions in men versus women. The PPARG locus is of specific interest due to its role in diabetes genetics and therapy. Our results demonstrate the value of sex-specific GWAS to unravel the sexually dimorphic genetic underpinning of complex traits.