Distribution of ABCB1 polymorphisms among Brazilians: impact of population admixture

Introduction: Interethnic admixture is a source of cryptic population structure that may lead to spurious genotype-phenotype associations in pharmacogenomic studies. We studied the impact of population stratification on the distribution of ABCB1 polymorphisms (1236C > T, 2677G > T/A and 3435C > T) among Brazilians, a highly admixed population with Amerindian, European and African ancestral roots. Methods: Individual DNA from 320 healthy adults was genotyped with a panel of ancestry informative markers, and the proportions of African component of ancestry (ACA) were estimated. ABCB1 genotypes were determined by the single base extension/termination method. We describe the association between ABCB1 polymorphisms and ACA by fitting a linear proportional odds logistic regression model to the data. Results: The distribution of the ABCB1 2677G > T/A and 3435C > T, but not the 1236C > T, SNPs displayed a significant trend for decreasing frequency of the T alleles and TT genotypes from White to Intermediate to Black individuals. The same trend was observed in the frequency of the T/nonG/T haplotype at the 1236, 2677 and 3435 loci. When the population sample was proportioned in quartiles, according to the individual ACA estimates, the frequency of the T allele and TT genotype at each locus declined progressively from the lowest (< 0.25 ACA) to the highest (> 0.75 ACA) quartile. Linear proportional odds logistic regression analysis confirmed that the odds of having the T allele at each locus decreases in a continuous manner with the increase of the ACA, throughout the ACA range (0.13-0.94) observed in the overall population sample. A significant association was also detected between the individual ACA estimates and the presence of the T/nonG/T haplotype in the overall population. Conclusion: Self-identification according to the racial/color categories proposed by the Brazilian Census is insufficient to properly control for population stratification in pharmacogenomic studies of ABCB1.

Integration of Ligand- and Target-Based Virtual Screening for the Discovery of Cruzain Inhibitors

A myriad of methods are available for virtual screening of small organic compound databases. In this study we have successfully applied a quantitative model of consensus measurements, using a combination of 3D similarity searches (ROCS and EON), Hologram Quantitative Structure Activity Relationships (HQSAR) and docking (FRED, FlexX, Glide and AutoDock Vina), to retrieve cruzain inhibitors from collected databases. All methods were assessed individually and then combined in a Ligand-Based Virtual Screening (LBVS) and Target-Based Virtual Screening (TBVS) consensus scoring, using Receiving Operating Characteristic (ROC) curves to evaluate their performance. Three consensus strategies were used: scaled-rank-by-number, rank-by-rank and rank-by-vote, with the most thriving the scaled-rank-by-number strategy, considering that the stiff ROC curve appeared to be satisfactory in every way to indicate a higher enrichment power at early retrieval of active compounds from the database. The ligand-based method provided access to a robust and predictive HQSAR model that was developed to show superior discrimination between active and inactive compounds, which was also better than ROCS and EON procedures. Overall, the integration of fast computational techniques based on ligand and target structures resulted in a more efficient retrieval of cruzain inhibitors with desired pharmacological profiles that may be useful to advance the discovery of new trypanocidal agents.

Is there wage premium to computer use in Sweden

This paper examines the wage premium to computer use in Sweden in the early 1990’s. I use simple regression model and interaction terms in my paper to examine the effect of computer use at work. Although the data is only one-year cross-section data, my results clearly show a wage premium to computer use in Sweden. There are also interesting findings in my paper by using Swedish data. From the results, I find wage premium to be related to intensity of computer use at work.

Design/Evaluation of A Methodology For Performance Optimization Of Indexable Carbide Inserts

In this project, two broad facets in the design of a methodology for performance optimization of indexable carbide inserts were examined. They were physical destructive testing and software simulation.For the physical testing, statistical research techniques were used for the design of the methodology. A five step method which began with Problem definition, through System identification, Statistical model formation, Data collection and Statistical analyses and results was indepthly elaborated upon. Set-up and execution of an experiment with a compression machine together with roadblocks and possible solution to curb road blocks to quality data collection were examined. 2k factorial design was illustrated and recommended for process improvement. Instances of first-order and second-order response surface analyses were encountered. In the case of curvature, test for curvature significance with center point analysis was recommended. Process optimization with method of steepest ascent and central composite design or process robustness studies of response surface analyses were also recommended.For the simulation test, AdvantEdge program was identified as the most used software for tool development. Challenges to the efficient application of this software were identified and possible solutions proposed. In conclusion, software simulation and physical testing were recommended to meet the objective of the project.

Defining Relevant Product Markets for Pharmaceuticals

To identify the relevant product markets for Swedish pharmaceuticals, a spatial econometrics approach is employed. First, we calculate Moran’s Is for different market definitions and then we use a spatial Durbin model to determine the effect of price changes on quantity sold off own and competing products. As expected, the results show that competition is strongest between close substitutes; however, the relevant product markets for Swedish pharmaceuticals extend beyond close substitutes down to products included in the same class on the four-digit level of the Anatomic Therapeutic Chemical system as defined by the World Health Organization. The spatial regression model further indicates that increases in the price of a product significantly lower the quantity sold of that product and in the same time increase the quantity sold of competing products. For close substitutes (products belonging to the same class on the seven-digit level of the Anatomic Therapeutic Chemical system), as well as for products that, without being close substitutes, belong to the same therapeutic/pharmacological/chemical subgroup (the same class on the five-digit level of the Anatomic Therapeutic Chemical system), a significant change towards increased competition is also visible after 1 July 2009 when the latest policy changes with regards to pharmaceuticals have been implemented in Sweden.

Computerized identification of motor complications in Parkinson's disease

Objective: To investigate whether spirography-based objective measures are able to effectively characterize the severity of unwanted symptom states (Off and dyskinesia) and discriminate them from motor state of healthy elderly subjects. Background: Sixty-five patients with advanced Parkinson’s disease (PD) and 10 healthy elderly (HE) subjects performed repeated assessments of spirography, using a touch screen telemetry device in their home environments. On inclusion, the patients were either treated with levodopa-carbidopa intestinal gel or were candidates for switching to this treatment. On each test occasion, the subjects were asked trace a pre-drawn Archimedes spiral shown on the screen, using an ergonomic pen stylus. The test was repeated three times and was performed using dominant hand. A clinician used a web interface which animated the spiral drawings, allowing him to observe different kinematic features, like accelerations and spatial changes, during the drawing process and to rate different motor impairments. Initially, the motor impairments of drawing speed, irregularity and hesitation were rated on a 0 (normal) to 4 (extremely severe) scales followed by marking the momentary motor state of the patient into 2 categories that is Off and Dyskinesia. A sample of spirals drawn by HE subjects was randomly selected and used in subsequent analysis. Methods: The raw spiral data, consisting of stylus position and timestamp, were processed using time series analysis techniques like discrete wavelet transform, approximate entropy and dynamic time warping in order to extract 13 quantitative measures for representing meaningful motor impairment information. A principal component analysis (PCA) was used to reduce the dimensions of the quantitative measures into 4 principal components (PC). In order to classify the motor states into 3 categories that is Off, HE and dyskinesia, a logistic regression model was used as a classifier to map the 4 PCs to the corresponding clinically assigned motor state categories. A stratified 10-fold cross-validation (also known as rotation estimation) was applied to assess the generalization ability of the logistic regression classifier to future independent data sets. To investigate mean differences of the 4 PCs across the three categories, a one-way ANOVA test followed by Tukey multiple comparisons was used. Results: The agreements between computed and clinician ratings were very good with a weighted area under the receiver operating characteristic curve (AUC) coefficient of 0.91. The mean PC scores were different across the three motor state categories, only at different levels. The first 2 PCs were good at discriminating between the motor states whereas the PC3 was good at discriminating between HE subjects and PD patients. The mean scores of PC4 showed a trend across the three states but without significant differences. The Spearman’s rank correlations between the first 2 PCs and clinically assessed motor impairments were as follows: drawing speed (PC1, 0.34; PC2, 0.83), irregularity (PC1, 0.17; PC2, 0.17), and hesitation (PC1, 0.27; PC2, 0.77). Conclusions: These findings suggest that spirography-based objective measures are valid measures of spatial- and time-dependent deficits and can be used to distinguish drug-related motor dysfunctions between Off and dyskinesia in PD. These measures can be potentially useful during clinical evaluation of individualized drug-related complications such as over- and under-medications thus maximizing the amount of time the patients spend in the On state.

Modelling dominance in a flexible intercross analysis

The aim of this paper is to develop a flexible model for analysis of quantitative trait loci (QTL) in outbred line crosses, which includes both additive and dominance effects. Our flexible intercross analysis (FIA) model accounts for QTL that are not fixed within founder lines and is based on the variance component framework. Genome scans with FIA are performed using a score statistic, which does not require variance component estimation. RESULTS: Simulations of a pedigree with 800 F2 individuals showed that the power of FIA including both additive and dominance effects was almost 50% for a QTL with equal allele frequencies in both lines with complete dominance and a moderate effect, whereas the power of a traditional regression model was equal to the chosen significance value of 5%. The power of FIA without dominance effects included in the model was close to those obtained for FIA with dominance for all simulated cases except for QTL with overdominant effects. A genome-wide linkage analysis of experimental data from an F2 intercross between Red Jungle Fowl and White Leghorn was performed with both additive and dominance effects included in FIA. The score values for chicken body weight at 200 days of age were similar to those obtained in FIA analysis without dominance. CONCLUSION: We have extended FIA to include QTL dominance effects. The power of FIA was superior, or similar, to standard regression methods for QTL effects with dominance. The difference in power for FIA with or without dominance is expected to be small as long as the QTL effects are not overdominant. We suggest that FIA with only additive effects should be the standard model to be used, especially since it is more computationally efficient.

Nurses' research utilization two years after graduation : a national survey ofassociated individual, organizational, and educational factors

Background. Nurses' research utilization (RU) as part of evidence-based practice is strongly emphasized in today's nursing education and clinical practice. The primary aim of RU is to provide high-quality nursing care to patients. Data on newly graduated nurses' RU are scarce, but a predominance of low use has been reported in recent studies. Factors associated with nurses' RU have previously been identified among individual and organizational/contextual factors, but there is a lack of knowledge about how these factors, including educational ones, interact with each other and with RU, particularly in nurses during the first years after graduation. The purpose of this study was therefore to identify factors that predict the probability for low RU among registered nurses two years after graduation. Methods. Data were collected as part of the LANE study (Longitudinal Analysis of Nursing Education), a Swedish national survey of nursing students and registered nurses. Data on nurses' instrumental, conceptual, and persuasive RU were collected two years after graduation (2007, n = 845), together with data on work contextual factors. Data on individual and educational factors were collected in the first year (2002) and last term of education (2004). Guided by an analytic schedule, bivariate analyses, followed by logistic regression modeling, were applied. Results. Of the variables associated with RU in the bivariate analyses, six were found to be significantly related to low RU in the final logistic regression model: work in the psychiatric setting, role ambiguity, sufficient staffing, low work challenge, being male, and low student activity. Conclusions. A number of factors associated with nurses' low extent of RU two years postgraduation were found, most of them potentially modifiable. These findings illustrate the multitude of factors related to low RU extent and take their interrelationships into account. This knowledge might serve as useful input in planning future studies aiming to improve nurses', specifically newly graduated nurses', RU.

Acesso a atendimento médico continuado : uma estratégia para reduzir a utilização de consultas não urgentes em serviços de emergência

A utilização de uma emergência por pacientes com problemas médicos eletivos contribui para a demanda excessiva e impede de acesso a pacientes com emergência verdadeira. O presente estudo se propôs: (1) investigar as características do usuário da emergência em relação a aspectos demográficos, local de moradia e tempo que apresenta os sintomas que o levaram a consultar; (2) identificar as diferenças da demanda entre o final de semana e durante a semana; (3) investigar a prevalência de saúde mental, alcoolismo, doença coronariana e hipertensão; (4) avaliar como é a utilização e o acesso a serviços de saúde para pacientes que referem ter um médico definido em comparação com quem refere não ter; (5) avaliar a satisfação dos pacientes com o atendimento na emergência e (6) verificar se o atendimento através de um médico definido ou em serviço de atenção primária em saúde diminui o afluxo de casos não urgentes aos serviços de emergência. Foi realizado um estudo transversal na Emergência do Hospital N.S. da Conceição de Porto Alegre (RS) no período de 6 de janeiro a 25 de junho de 1996, tendo sido incluídos 20 dias escolhidos entre o meio-dia de sábado e o meio-dia de domingo, para caracterizar a demanda do final de semana, e o meio-dia de segunda-feira e meio-dia de terça-feira, para a dos outros dias. Fizeram parte da amostra 553 pacientes selecionados através de amostragem aleatória sistemática, com uma taxa de resposta de 88%. A coleta de dados consistiu de questionário de 156 questões aplicado aos pacientes. O registro e análise dos dados foram realizados utilizando-se os programas Epi-Info, EGRET e SPSS. As análises incluíram tabulações simples para determinação de prevalência das condições investigadas e regressão logística para avaliar o efeito conjunto das variáveis independentes sobre cada uma das variáveis dependentes. A população que freqüenta a emergência do HNSC é composta de jovens, predominantemente do sexo feminino, mora em Porto Alegre (especialmente, no bairro Sarandi) e na Grande Porto Alegre (especialmente, Alvorada), desloca-se preferencialmente de ônibus até o serviço de emergência, vem acompanhada, na maioria das vezes, de algum familiar, e a maioria decide consultar por iniciativa própria ou por indicação de algum familiar. Os homens internam com maior freqüência. Os serviços de atenção primária representaram 23% do atendimento habitual dos pacientes. As consultas foram definidas pelos emergencistas como de emergência em 15% dos casos, de urgência em 46%, e programáveis em 39% poderiam ser programadas. A prevalência de hipertensão foi 19%; de angina, 13%; de alcoolismo, 16%; de problema psiquiátrico menor, 32% entre os homens e 51% entre as mulheres (p< 0,0001). Como desfecho da consulta, 73% dos pacientes foram encaminhados para o domicílio ou para um serviço especializado, 10% foram para sala de observação e para apenas 5% foi indicada a internação. A maioria dos pacientes referiram estar satisfeitos com o atendimento. Os que consultaram no final de semana apresentaram, em média, um tempo menor de sintomas até decidir consultar, um menor tempo de deslocamento até o serviço de emergência, maior satisfação, média de idade maior, maior proporção de moradores de Porto Alegre e foram levados de carro até a emergência mais do que aqueles que consultaram durante a semana. O modelo de regressão logística identificou as variáveis independentes determinantes de ter um médico definido: consulta habitual em atenção primária em saúde (RC=3,22 IC95%=2,04-5,09), consulta definida como emergência ou urgência (RC=2,46 IC95%=1,55-3,92) e afastamento do trabalho (RC=1,59 IC95%= 1,03-2,45). Este resultado demonstra que o paciente que habitualmente consulta em serviços de atenção primária tem mais probabilidade para ter a continuidade no atendimento. A consulta ser de emergência ou de urgência apresentou associação significativa com as seguintes variáveis independentes, após ser colocada num modelo de regressão logística: pacientes internados ou em observação (RC=5,80 IC95%=3,33-10,17), costume de consultar com o mesmo médico (RC=2,98 IC95%=1,84-4,80) e ida de carro até a emergência (RC=2,67 IC95%=1,75-4,05). A variável hábito de consultar em serviço de atenção primária deixou de ficar estatisticamente significativa ao ser colocada no modelo de regressão logística. Este resultado revela que pacientes com médico definido têm três vezes mais chances de consultar por um problema de emergência no serviço de emergência do que aqueles que não têm um médico definido. Assim, uma estratégia para reduzir a ocorrência de consultas não urgentes em serviços de emergência é o paciente ter tal vínculo. No entanto, aqueles pacientes que referiram o posto de saúde como local onde habitualmente consultam não evitam, necessariamente, a utilização de um serviço de emergência por motivo considerado como programável. É necessário otimizar o atendimento de pacientes com problemas não urgentes que chegam à emergência através de estratégias no nível de atenção primária – especialmente possibilitando o atendimento médico continuado -, onde uma abordagem integral com ênfase na prevenção garanta um atendimento de melhor qualidade e custo menor.

Avaliação do papel da ultra-sonografia obstétrica de rotina, no rastreamento pré-natal das anormalidades cardíacas

A ultra-sonografia obstétrica é um método diagnóstico tradicionalmente utilizado na rotina do atendimento pré-natal, tendo sido estudados de forma ampla suas vantagens e limitações. O advento do diagnóstico intra-uterino de cardiopatias congênitas e de arritmias através da ecocardiografia fetal modificou completamente o prognóstico perinatal dessas afecções, por permitir planejar o adequado manejo cardiológico no período neonatal imediato e, em algumas situações, o tratamento e sua resolução in utero. Sendo muito elevada a prevalência de cardiopatias congênitas durante a vida fetal, sua detecção torna-se fundamental. Considerando a inviabilidade operacional de realizar rotineiramente ecocardiografia fetal em todas as gestações, levando-se em conta as condições locais do sistema de saúde, o encaminhamento para exame por especialista passa a ser otimizado com a possibilidade da suspeita de alterações estruturais ou funcionais do coração e do sistema circulatório durante o exame ultra-sonográfico obstétrico de rotina. Não são conhecidos, em nosso meio, dados que avaliem de forma sistemática a acurácia da ultra-sonografia obstétrica no que se refere à suspeita pré-natal de cardiopatias. A partir deste questionamento, este trabalho foi delineado com o objetivo de avaliar o papel da ultra-sonografia obstétrica de rotina na suspeita pré-natal de cardiopatias congênitas ou arritmias graves e os fatores envolvidos na sua efetividade. A amostra foi constituída de 77 neonatos ou lactentes internados no Instituto de Cardiologia do Rio Grande do Sul / Fundação Universitária de Cardiologia (IC/FUC) no período de maio a outubro de 2000, com diagnóstico pós-natal confirmado de cardiopatia estrutural ou arritmia grave, que tenham sido submetidos, durante a vida fetal, a pelo menos uma ultra-sonografia obstétrica após a 18a semana de gestação. Para a coleta de dados, foi utilizado um questionário padronizado, respondido pelos pais ou responsáveis, após consentimento informado. As variáveis categóricas foram comparadas pelo teste do qui-quadrado ou pelo teste de Fisher, com um alfa crítico de 0,05. Um modelo de regressão logística foi utilizado para determinar variáveis independentes eventualmente envolvidas na suspeita pré-natal de cardiopatia. Em 19 pacientes (24,7%), a ultra-sonografia obstétrica foi capaz de levantar suspeita de anormalidades estruturais ou de arritmias. Ao serem consideradas apenas as cardiopatias congênitas, esta prevalência foi de 19,2% (14/73). Em 73,7% destes, as cardiopatias suspeitadas eram acessíveis ao corte de 4-câmaras isolado. Observou-se que 26,3% das crianças com suspeita pré-natal de cardiopatia apresentaram arritmias durante o estudo ecográfico, enquanto apenas 3,4% dos pacientes sem suspeita pré-natal apresentaram alterações do ritmo (P=0,009). Constituiram-se em fatores comparativos significantes entre o grupo com suspeita pré-natal e o sem suspeita a paridade (P=0,029), o parto cesáreo (P=0,006), a internação em unidade de tratamento intensivo (P=0,046) e a escolaridade paterna (P=0,014). Não se mostraram significativos o número de gestações, a história de abortos prévios, o estado civil, o sexo dos pacientes, o tipo de serviço e a localidade em que foram realizados o pré-natal e a ultra-sonografia obstétrica, a indicação da ecografia, o número de ultra-sonografias realizadas, a renda familiar e a escolaridade materna. À análise multivariada, apenas a presença de alteração do ritmo cardíaco durante a ultra-sonografia obstétrica mostrou-se como variável independente associada à suspeita pré-natal de anormalidade cardíaca. Este trabalho demonstra que a ultra-sonografia obstétrica de rotina ainda tem sido subutilizada no rastreamento pré-natal de cardiopatias congênitas, levantando a suspeita de anormalidades estruturais em apenas um quinto dos casos. Considerando a importância prognóstica do diagnóstico intra-uterino de cardiopatias congênitas e arritmias graves, todos os esforços devem ser mobilizados no sentido de aumentar a eficácia da ecografia obstétrica de rotina para a suspeita de anormalidades cardíacas fetais. O treinamento dirigido dos ultra-sonografistas e a conscientização do meio obstétrico e da própria população são instrumentos para esta ação.

Predictability of equity models

In this study, we verify the existence of predictability in the Brazilian equity market. Unlike other studies in the same sense, which evaluate original series for each stock, we evaluate synthetic series created on the basis of linear models of stocks. Following Burgess (1999), we use the “stepwise regression” model for the formation of models of each stock. We then use the variance ratio profile together with a Monte Carlo simulation for the selection of models with potential predictability. Unlike Burgess (1999), we carry out White’s Reality Check (2000) in order to verify the existence of positive returns for the period outside the sample. We use the strategies proposed by Sullivan, Timmermann & White (1999) and Hsu & Kuan (2005) amounting to 26,410 simulated strategies. Finally, using the bootstrap methodology, with 1,000 simulations, we find strong evidence of predictability in the models, including transaction costs.

The influence of materialism on consumption indebtedness in the context of low income consumers from the city of São Paulo

This research is in the domains of materialism, consumer vulnerability and consumption indebtedness, concepts frequently approached in the literature on consumer behavior, macro-marketing and economic psychology. The influence of materialism on consumer indebtedness is investigated within a context that is characterized by poverty and by factors that cause vulnerability, such as high interest rates, limited access to credit and to quality affordable goods. The objectives of this research are: to produce a materialism scale that is well adapted to its environment, characterizing materialism adequately for the population studied; to compare results obtained with results of other studies; and to measure the relationship between materialism, socio-demographic variables, attitude to debt and consumption indebtedness. The primary data used in the analyses were collected from field research carried out in August, 2005 that relied on a probabilistic household sample of 450 low income individuals who live in poor regions of the city of Sao Paulo. The materialism scale, adapted and translated into Portuguese from Richins (2004), proved to be very successful and encourages new work in the area. It was noted that younger adults tend to be more materialistic than older ones; that illiterate adults tend to be less materialistic than those who did literacy courses when they were already adults; and that gender, income and race are not associated with the materialism construct. Among the other results, a logistic regression model was developed in order to distinguish those individuals who have an installment plan payment booklet from those who do not, based on materialism, socio-demographic variables and purchasing and consumer habits. The proposed model confirms materialism as a behavioral variable useful for forecasting the probability of an individual getting into debt in order to consume, in some cases almost doubling the chance of occurrence of this event. Findings confirm the thesis that it is not only adverse economic factors that lead people to get into debt; and that the study of demand for credit for consumption purposes must, of necessity, include variables of a psychological nature. It is suggested that the low income materialistic consumer experiences feelings of powerlessness and exclusion because of the gap that exists between their possessions and their desires. Lines of conduct to combat this marginalization from the consumer society are drawn targeting marketing professionals, public policy makers and vulnerability researchers. Finally, the possibility of new studies involving the materialism construct, which is central to literature on consumer behavior, albeit little used in empirical studies in Brazil, are discussed.

Um modelo de mudança Markoviana para a função de reação do banco central brasileiro

O objetivo desta dissertação é analisar a política de juros do Banco Central durante o período entre os anos de 1995 a 2002, procurando verificar se houve mudança nesta política, isto é se houve mudanças de regimes na condução da política monetária, principalmente com a mudança do regime cambial. Para tanto o modelo estimado mais adequado para a análise foi um switching regression model que determina endogenamente se há mudança de regimes.

Fundos de investimento: uma análise da dinâmica entre tamanho, captação e rentabilidade

O presente trabalho tem como objetivo avaliar a relação existente entre o retorno de um fundo, o seu tamanho, o total de recursos sob gestão da instituição gestora, entre outros fatores. Para a realização dos testes propostos, utilizamos o modelo de regressão com dados em painel. Consideramos para a análise os últimos cinco anos de informações disponíveis (maio de 2005 a abril de 2010) para duas categorias de fundos: Multimercados e Renda Variável. Outro ponto que buscamos investigar neste trabalho são os fatores que explicam a captação dos fundos. Neste caso, como possíveis variáveis explicativas, utilizamos, por exemplo, o retorno do fundo e seu Índice de Sharpe nos últimos 6 meses.

Evaluating Value-at-Risk models via Quantile regressions

This paper is concerned with evaluating value at risk estimates. It is well known that using only binary variables to do this sacrifices too much information. However, most of the specification tests (also called backtests) avaliable in the literature, such as Christoffersen (1998) and Engle and Maganelli (2004) are based on such variables. In this paper we propose a new backtest that does not realy solely on binary variable. It is show that the new backtest provides a sufficiant condition to assess the performance of a quantile model whereas the existing ones do not. The proposed methodology allows us to identify periods of an increased risk exposure based on a quantile regression model (Koenker & Xiao, 2002). Our theorical findings are corroborated through a monte Carlo simulation and an empirical exercise with daily S&P500 time series.