Derivats financers al mercat espanyol: el Model de Black-Scholes i corbes de volatilitat per opcions sobre l'índex niniIBEX-35

El nostre treball es centrarà en conèixer i aprendre les nocions bàsiques del mercat financer espanyol, primer; i aplicar uns coneixements per veure si es verifica unahipòtesi plantejada, després. La incògnita que volem resoldre és la següent: comprovarsi tots els supòsits i resultats que faciliten els models teòrics emprats en l’estudi dels mercats financers a l’hora de la veritat es compleixen.D’entre els múltiples conceptes que ens proporcionen els estudis de mercatsfinancers ens centrarem sobretot en el model de Black-Scholes i els somriures devolatilitat per desenvolupar el nostre treball. Després de cercar les dades necessàries a través de la web del M.E.F.F., entrevistar-nos amb professionals del sector i fer un seguiment d’aproximadament dos mesos dels moviments de les opcions sobre l’Índex Mini-Íbex 35, amb l’ajuda d’un programa informàtic en llenguatge C, hem calculat les corbes de volatilitat de les opcions sobre l’Índex Mini-Íbex 35.Les conclusions més importants que hem extret són que el Model de Black-Scholes, malgrat va revolucionar el món dels mercats financers, està basat en 2 supòsits que no es compleixen a la realitat: la distribució lognormal del preu de les accions i unavolatilitat constant. Tal i com hem pogut comprovar, la corba de volatilitat de lesopcions sobre l’Índex Mini-Íbex 35 és decreixent amb el preu d’exercici i laMoneyness, tal i com sostenen les teories dels somriures de volatilitat; per tant, no és constant. A més, hem comprovat que a mesura que s’apropa el venciment d’una opció,el preu acordat de l’actiu subjacent a l’opció s’apropa al preu de mercat.

Efectos regionales de la política monetaria : implicaciones para los países de la zona euro

De acuerdo con la teoría de las áreas monetàrias óptimas,los shocks asimétricos tienen un papel fundamental en la determinación de los beneficios y los costes derivados del establecimiento de una área monetaria. En este sentido, diferentes estudios recientes señalan una importante reducción del grado de asimetría de los shocks en términos reales a lo largo de los últimos años entre los países europeos como consecuencia de la mayor coordinación de las políticas económicas y de la aproximación de las estructuras productivas. De todas maneras, una de las cuestiones clave en el nuevo entorno económico, y que no ha sido demasiado considerada a la literatura reciente, es el posible papel desestabilitzador de la política monetaria común como consecuencia de las diferencias en los mecanismos de transmisión de la política monetaria en los distintos países y regiones de la Zona Euro. En este trabajo se considera la mencionada cuestión desde un punto de vista teórico y se analiza empíricamente la existencia de diferencias regionales en los efectos de la política monetaria llevada a término en España a lo largo de los últimos años con la finalidad d identificar los principales determinantes de esta asimetría en el ámbito europeo

A comparative long-memory Analysis between Spanish, Mexican and U.S. interest rates

Evidence exists that many natural facts are described better as a fractal. Although fractals are very useful for describing nature, it is also appropiate to review the concept of random fractal in finance. Due to the extraordinary importance of Brownian motion in physics, chemistry or biology, we will consider the generalization that supposes fractional Brownian motion introduced by Mandelbrot.The main goal of this work is to analyse the existence of long range dependence in instantaneous forward rates of different financial markets. Concretelly, we perform an empirical analysis on the Spanish, Mexican and U.S. interbanking interest rate. We work with three time series of daily data corresponding to 1 day operations from 28th March 1996 to 21st May 2002. From among all the existing tests on this matter we apply the methodology proposed in Taqqu, Teverovsky and Willinger (1995).

The Impact of Monetary Union on EU-15 Sovereign Debt Yield Spreads

With European Monetary Union (EMU), there was an increase in the adjusted spreads (corrected from the foreign exchange risk) of euro participating countries' sovereign securities over Germany and a decrease in those of non-euro countries. The objective of this paper is to study the reasons for this result, and in particular, whether the change in the price assigned by markets was due to domestic factors such as credit risk and/or market liquidity, or to international risk factors. The empirical evidence suggests that market size scale economies have increased since EMU for all European markets, so the effect of the various risk factors, even though it differs between euro and non-euro countries, is always dependent on the size of the market.

Efectos regionales de la política monetaria : implicaciones para los países de la zona euro

De acuerdo con la teoría de las áreas monetàrias óptimas,los shocks asimétricos tienen un papel fundamental en la determinación de los beneficios y los costes derivados del establecimiento de una área monetaria. En este sentido, diferentes estudios recientes señalan una importante reducción del grado de asimetría de los shocks en términos reales a lo largo de los últimos años entre los países europeos como consecuencia de la mayor coordinación de las políticas económicas y de la aproximación de las estructuras productivas. De todas maneras, una de las cuestiones clave en el nuevo entorno económico, y que no ha sido demasiado considerada a la literatura reciente, es el posible papel desestabilitzador de la política monetaria común como consecuencia de las diferencias en los mecanismos de transmisión de la política monetaria en los distintos países y regiones de la Zona Euro. En este trabajo se considera la mencionada cuestión desde un punto de vista teórico y se analiza empíricamente la existencia de diferencias regionales en los efectos de la política monetaria llevada a término en España a lo largo de los últimos años con la finalidad d identificar los principales determinantes de esta asimetría en el ámbito europeo

La licitud de l’interès: evolució històrica d’un tema de moral econòmica

[cat] El problema de la consideració de qualsevol interès com a usura i les formes per a evitar la condemna eclesiàstica foren uns dels principals temes econòmics i morals de l’Europa tradicional. Aquest paper mostra els orígens i fonaments de la doctrina eclesiàstica sobre la usura, l’aparición dels instruments comercials i financers que evitaven la condemna de l’església i les excepcions i noves doctrines que consideraven lícit el benefici procedent del préstec.

Random diffusion and leverage effect in financial markets

We prove that Brownian market models with random diffusion coefficients provide an exact measure of the leverage effect [J-P. Bouchaud et al., Phys. Rev. Lett. 87, 228701 (2001)]. This empirical fact asserts that past returns are anticorrelated with future diffusion coefficient. Several models with random diffusion have been suggested but without a quantitative study of the leverage effect. Our analysis lets us to fully estimate all parameters involved and allows a deeper study of correlated random diffusion models that may have practical implications for many aspects of financial markets.

Biaixos informatius als mercats de valors

[cat] L'article presenta els resultats d'unes proves empíriques que mostren com en la informació econòmica a la premsa escrita poden haver-hi biaixos sistemàtics. Les empreses de sectors regulats son més actives informativament la qual cosa es tradueix en un major protagonisme en la premsa econòmica especialitzada. La primera prova empírica consisteix en una comprovació del protagonisme de les empreses de l'Ibex 35 i del Dow Jones a la premsa general i la econòmica d'Espanya i els Estats Units respectivament En la segona es fa una anàlisi de la informació del periòdic econòmic Expansión. L'existència de biaixos informatius sistemàtics indueix a qüestionar-se la hipòtesi de racionalitat en els mercats financers.

La licitud de l’interès: evolució històrica d’un tema de moral econòmica

[cat] El problema de la consideració de qualsevol interès com a usura i les formes per a evitar la condemna eclesiàstica foren uns dels principals temes econòmics i morals de l’Europa tradicional. Aquest paper mostra els orígens i fonaments de la doctrina eclesiàstica sobre la usura, l’aparición dels instruments comercials i financers que evitaven la condemna de l’església i les excepcions i noves doctrines que consideraven lícit el benefici procedent del préstec.

A comparative long-memory Analysis between Spanish, Mexican and U.S. interest rates

Evidence exists that many natural facts are described better as a fractal. Although fractals are very useful for describing nature, it is also appropiate to review the concept of random fractal in finance. Due to the extraordinary importance of Brownian motion in physics, chemistry or biology, we will consider the generalization that supposes fractional Brownian motion introduced by Mandelbrot.The main goal of this work is to analyse the existence of long range dependence in instantaneous forward rates of different financial markets. Concretelly, we perform an empirical analysis on the Spanish, Mexican and U.S. interbanking interest rate. We work with three time series of daily data corresponding to 1 day operations from 28th March 1996 to 21st May 2002. From among all the existing tests on this matter we apply the methodology proposed in Taqqu, Teverovsky and Willinger (1995).

The Impact of Monetary Union on EU-15 Sovereign Debt Yield Spreads

With European Monetary Union (EMU), there was an increase in the adjusted spreads (corrected from the foreign exchange risk) of euro participating countries' sovereign securities over Germany and a decrease in those of non-euro countries. The objective of this paper is to study the reasons for this result, and in particular, whether the change in the price assigned by markets was due to domestic factors such as credit risk and/or market liquidity, or to international risk factors. The empirical evidence suggests that market size scale economies have increased since EMU for all European markets, so the effect of the various risk factors, even though it differs between euro and non-euro countries, is always dependent on the size of the market.

First-passage and escape problems in the Feller process

The Feller process is an one-dimensional diffusion process with linear drift and state-dependent diffusion coefficient vanishing at the origin. The process is positive definite and it is this property along with its linear character that have made Feller process a convenient candidate for the modeling of a number of phenomena ranging from single-neuron firing to volatility of financial assets. While general properties of the process have long been well known, less known are properties related to level crossing such as the first-passage and the escape problems. In this work we thoroughly address these questions.

Market Index Biases and Minimum Risk Indices

Markets, in the real world, are not efficient zero-sum games where hypotheses of the CAPM are fulfilled. Then, it is easy to conclude the market portfolio is not located on Markowitz"s efficient frontier, and passive investments (and indexing) are not optimal but biased. In this paper, we define and analyze biases suffered by passive investors: the sample, construction, efficiency and active biases and tracking error are presented. We propose Minimum Risk Indices (MRI) as an alternative to deal with to market index biases, and to provide investors with portfolios closer to the efficient frontier, that is, more optimal investment possibilities. MRI (using a Parametric Value-at-Risk Minimization approach) are calculated for three stock markets achieving interesting results. Our indices are less risky and more profitable than current Market Indices in the Argentinean and Spanish markets, facing that way the Efficient Market Hypothesis. Two innovations must be outlined: an error dimension has been included in the backtesting and the Sharpe"s Ratio has been used to select the"best" MRI

Causality and Contagion in EMU Sovereign Debt Markets

This paper contributes to the literature by applying the Granger causality approach and endogenous breakpoint test to offer an operational definition of contagion to examine European Economic and Monetary Union (EMU) countries public debt behaviour. A database of yields on 10-year government bonds issued by 11 EMU countries covering fourteen years of monetary union is used. The main results suggest that the 41 new causality patterns, which appeared for the first time in the crisis period, and the intensification of causality recorded in 70% of the cases, provide clear evidence of contagion in the aftermath of the current euro debt crisis.

EMU sovereign debt market crisis: Fundamentals-based or pure contagion?

We empirically investigate whether the transmission of the recent crisis in euro area sovereign debt markets was due to fundamentals-based or pure contagion. To do so, we examine the behaviour of EMU sovereign bond yield spreads with respect to the German bund for a sample of both central and peripheral countries from January 1999 to December 2012. First we apply a dynamic approach to analyse the evolution of the degree of Grangercausality within the 90 pairs of sovereign bond yield spreads in our sample, in order to detect episodes of significantly increased causality between them (which we associate with contagion) and episodes of significantly reduced interconnection (which we associate with immunisation). We then use an ordered logit model to assess the determinants of the occurrence of the episodes detected. Our results suggest the importance of variables proxying market sentiment and of variables proxying macrofundamentals in determining contagion and immunisation outcomes. Therefore, our findings underline the coexistence of “pure” and “fundamentals-based contagion” during the recent European debt crisis.