Option pricing under stochastic volatility and stochastic interest rate in the Spanish case

Among the underlying assumptions of the Black-Scholes option pricingmodel, those of a fixed volatility of the underlying asset and of aconstantshort-term riskless interest rate, cause the largest empirical biases. Onlyrecently has attention been paid to the simultaneous effects of thestochasticnature of both variables on the pricing of options. This paper has tried toestimate the effects of a stochastic volatility and a stochastic interestrate inthe Spanish option market. A discrete approach was used. Symmetricand asymmetricGARCH models were tried. The presence of in-the-mean and seasonalityeffectswas allowed. The stochastic processes of the MIBOR90, a Spanishshort-terminterest rate, from March 19, 1990 to May 31, 1994 and of the volatilityofthe returns of the most important Spanish stock index (IBEX-35) fromOctober1, 1987 to January 20, 1994, were estimated. These estimators wereused onpricing Call options on the stock index, from November 30, 1993 to May30, 1994.Hull-White and Amin-Ng pricing formulas were used. These prices werecomparedwith actual prices and with those derived from the Black-Scholesformula,trying to detect the biases reported previously in the literature. Whereasthe conditional variance of the MIBOR90 interest rate seemed to be freeofARCH effects, an asymmetric GARCH with in-the-mean and seasonalityeffectsand some evidence of persistence in variance (IEGARCH(1,2)-M-S) wasfoundto be the model that best represent the behavior of the stochasticvolatilityof the IBEX-35 stock returns. All the biases reported previously in theliterature were found. All the formulas overpriced the options inNear-the-Moneycase and underpriced the options otherwise. Furthermore, in most optiontrading, Black-Scholes overpriced the options and, because of thetime-to-maturityeffect, implied volatility computed from the Black-Scholes formula,underestimatedthe actual volatility.

Long diagnostic delay in Crohn's disease is associated with complicated disease course and increased operation rate

Background: We have recently shown that the median diagnostic delay to establish Crohn's disease (CD) diagnosis (i.e. the period from first symptom onset to diagnosis) in the Swiss IBD Cohort (SIBDC) was 9 months. Seventy five percent of all CD patients were diagnosed within 24 months. The clinical impact of a long diagnostic delay on the natural history of CD is unknown. Aim: To compare the frequency and type of CD-related complications in the patient groups with long diagnostic delay (>24 months) vs. the ones diagnosed within 24 months. Methods: Retrospective analysis of data from the SIBDCS, comprising a large sample of CD patients followed in hospitals and private practices across Switzerland. The proportions of the following outcomes were compared between groups of patients diagnosed 1, 2-5, 6-10, 11-15, and ≥ 16 years ago and stratified according to the length of diagnostic delay: bowel stenoses, internal fistulas, perianal fistulas, CD-related surgical interventions, and extraintestinal manifestations. Results: Two hundred CD patients (121 female, mean age 44.9 ± 15.0 years, 38% smokers, 71% ever treated with immunomodulators and 35% with anti-TNF) with long diagnostic delay were compared to 697 CD patients (358 female, mean age 39.1 ± 14.9 years, 33% smokers, 74% ever treated with immunomodulators and 33% with anti-TNF) diagnosed within 24 months. No differences in the outcomes were observed between the two patient groups within year one after CD diagnosis. Among those diagnosed 2-5 years ago, CD patients with long diagnostic delay (n = 45) presented more frequently with internal fistulas (11.1% vs. 3.1%, p = 0.03) and bowel stenoses (28.9% vs. 15.7%, p = 0.05), and they more frequently underwent CD-related operations (15.6% vs. 5.0%, p = 0.02) compared to the patients diagnosed within 24 months (n = 159). Among those diagnosed 6-10 years ago, CD patients with long diagnostic delay (n = 48) presented more frequently with extraintestinal manifestations (60.4% vs. 34.6%, p = 0.001) than those diagnosed within 24 months (n = 182). For the patients diagnosed 11-15 years ago, no differences in outcomes were found between the long diagnostic delay group (n = 106) and the one diagnosed within 24 months (n = 32). Among those diagnosed ≥ 16 years ago, the group with long diagnostic delay (n = 71) more frequently underwent CD-related operations (63.4% vs. 46.5%, p = 0.01) compared to the group diagnosed with CD within 24 months (n = 241). Conclusions: A long diagnostic delay in CD patients is associated with a more complicated disease course and higher number of CD-related operations in the years following the diagnosis. Our results indicate that efforts should be undertaken to shorten the diagnostic delay in CD patients in order to reduce the risk for progression towards a complicated disease phenotype.

The equity premium and the risk free rate: A cross country, cross maturity examination

This paper examines the relationship between the equity premium and the risk free rate at three different maturities using post 1973 data fora panel of 7 OECD countries. We show the existence of subsample instabilities,of some cross country differences and of inconsistencies with the expectations theory of the term structure. We perform simulations using a standard consumptionbased CAPM model and demonstrate that the basic features of Mehra and Prescott's(1985) puzzle remain, regardless of the time period, the investment maturity and the country considered. Modifications of the basic setup are also considered.

Evolutionary genetics of arbuscular mycorrhizal fungi - causes and consequences of multiple genomes in Glomus intraradices

Résumé Les champignons endomycorhiziens arbusculaires (CEA) forment des symbioses avec la plupart des plantes terrestres. Les CEA influencent la croissance des plantes et la biodiversité. Ils sont supposés avoir évolué de manière asexuée pendant au moins 400 millions d'années et aucune diversification morphologique majeure n'a été constatée. Pour ces raisons, les CEA sont considérés comme d'anciens asexués. Très peu d'espèces sont connues actuellement. Les individus de ces champignons contiennent des noyaux génétiquement différents dans un cytoplasme continu. La signification évolutive, la variabilité et la maintenance des génomes multiples au sein des individus sont inconnues. Ce travail a démontré qu'une population du CEA Glomus intraradices est génétiquement très variable. Nous avons conclu que les plantes hôtes plutôt que la différenciation géographique devraient être responsables de cette grande diversité. Puis nous avons cherché l'existence de recombinaison entre génotypes dans une population. Nous avons détecté un groupe recombinant au sein de la population, ce qui met en doute l'état d'anciens asexués des CEA. Nous avons également détecté l'occurrence de fusions d'hyphes et l'échange de noyaux entre isolats génétiquement différents. La descendance hybride issue de cet échange était viable et distincte phénotypiquement des isolats parentaux. En résumé, ce travail identifie des événements cruciaux dans le cycle de vie des CEA qui ont le potentiel d'influencer l'évolution de génomes multiples. L'étude des conséquences de ces événements sur les interactions avec les plantes hôtes pourrait éclaircir significativement la compréhension de la symbiose entre plantes et CEA. Abstract Arbuscular mycorrhizal fungi (AMF) are important symbionts of most land plants. AMF influence plant growth and biodiversity. Very few extant species are described. AMF are thought to have evolved asexually for at least 400 million years and no major morphological diversification has occurred. Due to these reasons, they were termed `ancient asexuals'. Fungal individuals harbour genetically different nuclei in a continuous cytoplasm. The variability, maintenance and evolutionary significance of multiple genomes within individuals are unknown. This work showed that a population of the AMF Glomus intraradices harbours very high genetic diversity. We concluded that host plants rather than geographic differentiation were responsible for this diversity. Furthermore, we investigated whether recombination occurred among genotypes of a G. intraradices population. The identification of a core group of recombining genotypes in the population refutes the assumption of ancient asexuality in AMF. We found that genetically different isolates can form hyphal fusions and exchange nuclei. The hybrid progeny produced by the exchange was viable and phenotypically distinct from the parental isolates. Taken together, this work provided evidence for key events in the AMF life cycle, that influence the evolution of multiple genomes. Studying the consequences of these events on the interaction with host plants may significantly further the understanding of the AMF-plant symbiosis.

The impact of interest-rate subsidies on long-term household debt: Evidence from a large program

The responsiveness of long-term household debt to the interest rate is acrucial parameter for assessing the effectiveness of public policies aimedat promoting specific types of saving. This paper estimates the effect ofa reform of Credito Bonificado, a large program in Portugal that subsidizedmortgage interest rates, on long-term household debt. The reform establisheda ceiling in the price of the house that could be financed through theprogram, and provides plausibly exogenous variation in incentives. Usinga unique dataset of matched household survey data and administrative recordsof debt, we document a large decrease in the probability of signing a newloan after the removal of the subsidy.

Evolution at Two Levels in Fire Ants: The Relationship between Patterns of Gene Expression and Protein Sequence Evolution.

Variation in protein sequence and gene expression each contribute to phenotypic diversity, and may be subject to similar selective pressures. Eusocial insects are particularly useful for investigating the evolutionary link between protein sequence and condition-dependent patterns of gene expression because gene expression plays a central role in determining differences between eusocial insect sexes and castes. We investigated the relationship between protein coding sequence evolution and gene expression patterns in the fire ants Solenopsis invicta, S. richteri, and their hybrids to gain greater insight into how selection jointly operates on gene expression and coding sequence. We found that genes with high expression variability within castes and sexes were frequently differentially expressed between castes and sexes, as well as between species and hybrids. These results indicate that genes showing high variation in expression in one context also tend to show high variation in expression in other contexts. Our analyses further revealed that variation in both intra- and interspecific gene expression was positively associated with rate of protein sequence evolution in Solenopsis. This suggests that selective constraints on a gene operate both at the level of protein sequence and at the level of gene expression regulation. Overall, our study provides one of the strongest demonstrations that selective constraints mediate both protein sequence evolution and gene expression variability across different biological contexts and timescales.

Implementation, elimination of weakly dominated strategies and evolutionary dynamics

This paper is concerned with the realism of mechanisms that implementsocial choice functions in the traditional sense. Will agents actually playthe equilibrium assumed by the analysis? As an example, we study theconvergence and stability properties of Sj\"ostr\"om's (1994) mechanism, onthe assumption that boundedly rational players find their way to equilibriumusing monotonic learning dynamics and also with fictitious play. Thismechanism implements most social choice functions in economic environmentsusing as a solution concept the iterated elimination of weakly dominatedstrategies (only one round of deletion of weakly dominated strategies isneeded). There are, however, many sets of Nash equilibria whose payoffs maybe very different from those desired by the social choice function. Withmonotonic dynamics we show that many equilibria in all the sets ofequilibria we describe are the limit points of trajectories that havecompletely mixed initial conditions. The initial conditions that lead tothese equilibria need not be very close to the limiting point. Furthermore,even if the dynamics converge to the ``right'' set of equilibria, it stillcan converge to quite a poor outcome in welfare terms. With fictitious play,if the agents have completely mixed prior beliefs, beliefs and play convergeto the outcome the planner wants to implement.

Communication, coordination and efficiency in evolutionary one-population models

We analyze the role of commitment in pre-play communication for ensuringefficient evolutionarily stable outcomes in coordination games. All players are a priori identical as they are drawn from the same population. In games where efficient outcomes can be reached by players coordinating on the same action we find commitment to be necessary to enforce efficiency. In games where efficienct outcomes only result from play of different actions, communication without commitment is most effective although efficiency can no longer be guaranteed. Only when there are many messages then inefficient outcomes are negligible as their basins of attraction become very small.

Phenetic, biogeographical, and evolutionary study ofOrnithogalum subg.Heliocharmos (Hyacinthaceae) in the western Mediterranean basin

A macromorphological study is made on taxa of the genusOrnithogalum subg.Heliocharmos in North Africa, Spain, and France. The results obtained are consistent with data from cytogenetics, reproductive biology and strategies of reproduction. They allow the retention of two species:O. algeriense and O. umbellatum. A biogeographical and phylogenetic interpretation of the subgenus is proposed for the western Mediterranean. Theoretical views on phenetics are discussed.

Rate of convergence of a particle method to the solution of the Mc Kean-Vlasov's equation

This paper studies the rate of convergence of an appropriatediscretization scheme of the solution of the Mc Kean-Vlasovequation introduced by Bossy and Talay. More specifically,we consider approximations of the distribution and of thedensity of the solution of the stochastic differentialequation associated to the Mc Kean - Vlasov equation. Thescheme adopted here is a mixed one: Euler/weakly interactingparticle system. If $n$ is the number of weakly interactingparticles and $h$ is the uniform step in the timediscretization, we prove that the rate of convergence of thedistribution functions of the approximating sequence in the $L^1(\Omega\times \Bbb R)$ norm and in the sup norm is of theorder of $\frac 1{\sqrt n} + h $, while for the densities is ofthe order $ h +\frac 1 {\sqrt {nh}}$. This result is obtainedby carefully employing techniques of Malliavin Calculus.

On forward induction and evolutionary and strategic stability

We analyze which normal form solution concepts capture the notion offorward induction, as defined by van Damme (JET, 1989) in the classof generic two player normal form games preceded by an outsideoption. We find that none of the known strategic stability concepts(including Mertens stable sets and hyperstable sets) captures this form of forward induction. On the other hand, we show that the evolutionary concept of EES set (Swinkels, JET, 1992) is always consistent with forward induction.