An approach to verifying and debugging simulation models governed by ordinary differential equations: Part 1. Methodology for residual generation

For dynamic simulations to be credible, verification of the computer code must be an integral part of the modelling process. This two-part paper describes a novel approach to verification through program testing and debugging. In Part 1, a methodology is presented for detecting and isolating coding errors using back-to-back testing. Residuals are generated by comparing the output of two independent implementations, in response to identical inputs. The key feature of the methodology is that a specially modified observer is created using one of the implementations, so as to impose an error-dependent structure on these residuals. Each error can be associated with a fixed and known subspace, permitting errors to be isolated to specific equations in the code. It is shown that the geometric properties extend to multiple errors in either one of the two implementations. Copyright (C) 2003 John Wiley Sons, Ltd.

An approach to verifying and debugging simulation models governed by ordinary differential equations: Part 2. Residuals analysis and a case study

In Part 1 of this paper a methodology for back-to-back testing of simulation software was described. Residuals with error-dependent geometric properties were generated. A set of potential coding errors was enumerated, along with a corresponding set of feature matrices, which describe the geometric properties imposed on the residuals by each of the errors. In this part of the paper, an algorithm is developed to isolate the coding errors present by analysing the residuals. A set of errors is isolated when the subspace spanned by their combined feature matrices corresponds to that of the residuals. Individual feature matrices are compared to the residuals and classified as 'definite', 'possible' or 'impossible'. The status of 'possible' errors is resolved using a dynamic subset testing algorithm. To demonstrate and validate the testing methodology presented in Part 1 and the isolation algorithm presented in Part 2, a case study is presented using a model for biological wastewater treatment. Both single and simultaneous errors that are deliberately introduced into the simulation code are correctly detected and isolated. Copyright (C) 2003 John Wiley Sons, Ltd.

Trading the changes of stock market index composition: Evidence from European markets

This paper studies the changes in European stock market indexes composition from 1995 to 2015. It was found that there are mixed price effects producing abnormal returns around the effective replacement of added and deleted stocks. The price pressure hypothesis seems to hold for added stocks in some indexes but not for deleted stocks as there is not a clear inversion of behaviour after the replacement. Finally, the building and back testing of a trading strategy aiming to capture some of those abnormal returns shows it yields a Sharpe Ratio of 1.4 and generates an annualised alpha of 11%.

Modeling Dependence Structure and Forecasting Market Risk with Dynamic Asymmetric Copula

We investigate the dynamic and asymmetric dependence structure between equity portfolios from the US and UK. We demonstrate the statistical significance of dynamic asymmetric copula models in modelling and forecasting market risk. First, we construct “high-minus-low" equity portfolios sorted on beta, coskewness, and cokurtosis. We find substantial evidence of dynamic and asymmetric dependence between characteristic-sorted portfolios. Second, we consider a dynamic asymmetric copula model by combining the generalized hyperbolic skewed t copula with the generalized autoregressive score (GAS) model to capture both the multivariate non-normality and the dynamic and asymmetric dependence between equity portfolios. We demonstrate its usefulness by evaluating the forecasting performance of Value-at-Risk and Expected Shortfall for the high-minus-low portfolios. From back-testing, e find consistent and robust evidence that our dynamic asymmetric copula model provides the most accurate forecasts, indicating the importance of incorporating the dynamic and asymmetric dependence structure in risk management.

Study and implementation of some quantitative trading models

Quantitative or algorithmic trading is the automatization of investments decisions obeying a fixed or dynamic sets of rules to determine trading orders. It has increasingly made its way up to 70% of the trading volume of one of the biggest financial markets such as the New York Stock Exchange (NYSE). However, there is not a signi cant amount of academic literature devoted to it due to the private nature of investment banks and hedge funds. This projects aims to review the literature and discuss the models available in a subject that publications are scarce and infrequently. We review the basic and fundamental mathematical concepts needed for modeling financial markets such as: stochastic processes, stochastic integration and basic models for prices and spreads dynamics necessary for building quantitative strategies. We also contrast these models with real market data with minutely sampling frequency from the Dow Jones Industrial Average (DJIA). Quantitative strategies try to exploit two types of behavior: trend following or mean reversion. The former is grouped in the so-called technical models and the later in the so-called pairs trading. Technical models have been discarded by financial theoreticians but we show that they can be properly cast into a well defined scientific predictor if the signal generated by them pass the test of being a Markov time. That is, we can tell if the signal has occurred or not by examining the information up to the current time; or more technically, if the event is F_t-measurable. On the other hand the concept of pairs trading or market neutral strategy is fairly simple. However it can be cast in a variety of mathematical models ranging from a method based on a simple euclidean distance, in a co-integration framework or involving stochastic differential equations such as the well-known Ornstein-Uhlenbeck mean reversal ODE and its variations. A model for forecasting any economic or financial magnitude could be properly defined with scientific rigor but it could also lack of any economical value and be considered useless from a practical point of view. This is why this project could not be complete without a backtesting of the mentioned strategies. Conducting a useful and realistic backtesting is by no means a trivial exercise since the \laws" that govern financial markets are constantly evolving in time. This is the reason because we make emphasis in the calibration process of the strategies' parameters to adapt the given market conditions. We find out that the parameters from technical models are more volatile than their counterpart form market neutral strategies and calibration must be done in a high-frequency sampling manner to constantly track the currently market situation. As a whole, the goal of this project is to provide an overview of a quantitative approach to investment reviewing basic strategies and illustrating them by means of a back-testing with real financial market data. The sources of the data used in this project are Bloomberg for intraday time series and Yahoo! for daily prices. All numeric computations and graphics used and shown in this project were implemented in MATLAB^R scratch from scratch as a part of this thesis. No other mathematical or statistical software was used.

The Effectiveness of Currency Hedging Strategies. Case: Imatra Boards Business Unit of Stora Enso Corp.

Tutkimus tarkastelee vaihtoehtoisia termiinisuojaustrategioita metsäteollisuuden alan tulosyksikössä. Jälkitestauksen tarkoituksena on arvioida vaihtoehtoisten strategioiden tuloksellisuutta suojata case-yrityksen kassavirtoja seuraavan kolmen arviointikriteerin avulla: yksittäisten vieraan valuutan määräisten kassavirtojen vaihtelu; koko vieraan valuutan määräisen kassavirran vaihtelu; suojausvoitot ja -tappiot. Tutkimuksen teoreettinen viitekehys tarkastelee yrityksen päätöksentekoa, valuuttariskien suojausprosessia sekä esittelee yrityksen vaihtoehtoisia suojausstrategioita. Tutkimuksen empiirinen aineisto pohjautuu case- yrityksen historiallisiin myyntilukuihin ja on kerätty yrityksen tietojärjestelmästä. Muu tutkimuksessa käytetty dataon kerätty eri tietokannoista. Tutkimuksen tulokset osoittavat, että suojaaminen vähentää kassavirtojen vaihtelua. Suojaamisen taloudelliset tulokset ovat kuitenkin erittäin riippuvaisia valitusta suojausstrategiasta, joka voi johtaa merkittäviin suojausvoittoihin, mutta yhtä hyvin myos merkittäviin tappioihin. Johdon näkemykset ja riskitoleranssi määrittelevät mitä strategiaa yrityksessä tullaan viime kädessä noudattamaan.

Value at Risk in measuring market risk: Historical simulation

In this study the theoretical part was created to make comparison between different Value at Risk models. Based on that comparison one model was chosen to the empirical part which concentrated to find out whether the model is accurate to measure market risk. The purpose of this study was to test if Volatility-weighted Historical Simulation is accurate in measuring market risk and what improvements does it bring to market risk measurement compared to traditional Historical Simulation. Volatility-weighted method by Hull and White (1998) was chosen In order to improve the traditional methods capability to measure market risk. In this study we found out that result based on Historical Simulation are dependent on chosen time period, confidence level and how samples are weighted. The findings of this study are that we cannot say that the chosen method is fully reliable in measuring market risk because back testing results are changing during the time period of this study.

Sähkönmyyntiyhtiön riskienhallinnan kehittäminen

Sähkönmyyntiyhtiön liiketoimintaan liittyy muiden yritysten toiminnan tavoin erilaisia riskejä. Riskit jaetaan operationaalisiin ja markkinariskeihin. Operationaalisia riskejä ovat esimerkiksi erilaiset henkilöstöön, tietojärjestelmiin tai operatiiviseen toimintaan liittyvät riskit. Sähkönmyyntiyhtiön liiketoimintaan kohdistuu myös erilaisia markkinariskejä, joihin tyypillisesti liittyy sekä voiton että tappion mahdollisuus. Sähkönmyyntiyhtiön liiketoimintaan liittyviä markkinariskejä ovat esimerkiksi volyymiriski, profiiliriski, hintariski ja johdannaisriski. Työssä käydään läpi myös muita markkinariskejä sekä pohditaan riskien suojautumiskeinoja. Markkinariskejä voidaan hallita useiden eri keinojen avulla. Tavallisimpia näistä ovat esimerkiksi johdannaisten ja peak- sekä profiilituotteiden hankkiminen, joiden avulla hallitaan markkinahintojen muutosten vaikutuksia liiketoiminnan tulokseen. Lisäksi yritys voi käyttää riskienhallintakeinoina monipuolista jälkilaskentaa sekä raportointia liiketoiminnan keskeisiltä osilta. Erityisesti riskienhallintakeinona käytetään erilaisia riskimittareita, joista Profit at Risk-riskimittarin katsottiin soveltuvan parhaiten sähkönmyyntiyhtiön riskienhallinnan tueksi. Riskienhallinnan kehityksen näkökulmasta yrityksen on syytä miettiä sopimusten hinnoitteluaan sekä suojausstrategiaansa.

Comportamento de pares de ações no mercado brasileiro sob a ótica da cointegração, para preços intra-diários

Esta dissertação estuda o movimento do mercado acionário brasileiro com o objetivo de testar a trajetória de preços de pares de ações, aplicada à estratégia de pair trading. Os ativos estudados compreendem as ações que compõem o Ibovespa e a seleção dos pares é feita de forma unicamente estatística através da característica de cointegração entre ativos, sem análise fundamentalista na escolha. A teoria aqui aplicada trata do movimento similar de preços de pares de ações que evoluem de forma a retornar para o equilíbrio. Esta evolução é medida pela diferença instantânea dos preços comparada à média histórica. A estratégia apresenta resultados positivos quando a reversão à média se efetiva, num intervalo de tempo pré-determinado. Os dados utilizados englobam os anos de 2006 a 2010, com preços intra-diários para as ações do Ibovespa. As ferramentas utilizadas para seleção dos pares e simulação de operação no mercado foram MATLAB (seleção) e Streambase (operação). A seleção foi feita através do Teste de Dickey-Fuller aumentado aplicado no MATLAB para verificar a existência da raiz unitária dos resíduos da combinação linear entre os preços das ações que compõem cada par. A operação foi feita através de back-testing com os dados intra-diários mencionados. Dentro do intervalo testado, a estratégia mostrou-se rentável para os anos de 2006, 2007 e 2010 (com retornos acima da Selic). Os parâmetros calibrados para o primeiro mês de 2006 puderam ser aplicados com sucesso para o restante do intervalo (retorno de Selic + 5,8% no ano de 2006), para 2007, onde o retorno foi bastante próximo da Selic e para 2010, com retorno de Selic + 10,8%. Nos anos de maior volatilidade (2008 e 2009), os testes com os mesmos parâmetros de 2006 apresentaram perdas, mostrando que a estratégia é fortemente impactada pela volatilidade dos retornos dos preços das ações. Este comportamento sugere que, numa operação real, os parâmetros devem ser calibrados periodicamente, com o objetivo de adaptá-los aos cenários mais voláteis.

High performance numerical modeling of ultra-short laser pulse propagation based on multithreaded parallel hardware

The focus of this study is development of parallelised version of severely sequential and iterative numerical algorithms based on multi-threaded parallel platform such as a graphics processing unit. This requires design and development of a platform-specific numerical solution that can benefit from the parallel capabilities of the chosen platform. Graphics processing unit was chosen as a parallel platform for design and development of a numerical solution for a specific physical model in non-linear optics. This problem appears in describing ultra-short pulse propagation in bulk transparent media that has recently been subject to several theoretical and numerical studies. The mathematical model describing this phenomenon is a challenging and complex problem and its numerical modeling limited on current modern workstations. Numerical modeling of this problem requires a parallelisation of an essentially serial algorithms and elimination of numerical bottlenecks. The main challenge to overcome is parallelisation of the globally non-local mathematical model. This thesis presents a numerical solution for elimination of numerical bottleneck associated with the non-local nature of the mathematical model. The accuracy and performance of the parallel code is identified by back-to-back testing with a similar serial version.

Large-scale testing of proficiency in English: Back to multiple choice?

The paper analyses whether that a properly designed multiple choice test can discriminate with a high level of accuracy if a student in our context has reached a B2 level according to the CEFRL.

Vehicle seat back latch systems; evaluation and testing. Final report.

National Highway Traffic Safety Administration, Washington, D.C.

Back, chest and abdominal pain: How good are spinal signs at identifying musculoskeletal causes of back, chest or abdominal pain?

Background: Spinal signs found in association with atypical chest and abdominal pain may suggest the pain is referred from the thoracic spine. However, the prevalence of such signs in these conditions has rarely been compared with that in those without pain. In this study, the prevalence of spinal signs and dysfunction in patients with back, chest and abdominal pain is compared with that in pain free controls. The aim of the study is to determine the significance of spinal findings in patients with such pain. Methods: A general practitioner blinded to the patients' histories performed a cervical and thoracic spinal examination on general practice patients with back, chest and/or abdominal pain and on controls without pain. Thoracic intervertebral dysfunction was diagnosed on the basis of movement and palpation findings. Results: Seventy three study patients plus 24 controls, were examined. For cervical spinal signs, pain in the back, chest and/or abdomen was associated with pain with active movements and overpressure at end range and with loss of movement range. For thoracic spinal signs, this association held for pain with active movements and overpressure, but not with loss of movement range. The prevalence of thoracic intervertebral dysfunction was 25.0% in controls, 65.5% with chest/abdominal pain, 72.0% with back pain and 79.0% with back pain with chest/abdominal pain. This prevalence was higher with chest pain than with abdominal pain. Conclusions: The results show an association, but not a causal link between thoracic intervertebral dysfunction and atypical chest/abdominal pain. A spinal examination should be performed routinely assessing these conditions. The minimum examination for the detection of intervertebral dysfunction is testing for pain with spinal movements and palpation for tenderness. The interpretation of positive signs requires knowledge of their prevalence in pain free controls and in patients with visceral disease

Comparison of lumbar range of movement and lumbar lordosis in back pain patients and matched controls

Inconclusive findings have been shown in previous studies comparing lumbar range of movement (LROM) and lumbar lordosis between back pain patients and healthy subjects. In these studies, confounding variables such as age, gender, height, obesity, and pain level were usually not well controlled. The present study aimed to compare LROM and lumbar lordosis between back pain patients and matched controls. Fifteen male back pain patients and 15 age-, height-, obesity-, and physical activity-matched male controls were investigated. To minimize the effect of pain on the measurements, only patients with minimal or no pain at the time of testing were included in the study. Inclinometer technique was used for the evaluation of LROM in flexion, extension and lateral flexion as well as lumbar lordosis. A lumbar rotameter was used for measuring axial rotation. Pelvic motion was limited by a pelvic restraint device during LROM measurements. Results showed that there were no significant differences between the back pain and control groups in flexion, extension, lateral flexion and axial rotation LROM and also in lumbar lordosis. This may indicate that when a back pain patient is not in pain, LROM and lumbar lordosis may not be the measures that distinguish between back pain patients and subjects without back pain.