Unit Root Analysis of Traffic Time Series in Toll Highways

Concession contracts in highways often include some kind of clauses (for example, a minimum traffic guarantee) that allow for better management of the business risks. The value of these clauses may be important and should be added to the total value of the concession. However, in these cases, traditional valuation techniques, like the NPV (net present value) of the project, are insufficient. An alternative methodology for the valuation of highway concession is one based on the real options approach. This methodology is generally built on the assumption of the evolution of traffic volume as a GBM (geometric Brownian motion), which is the hypothesis analyzed in this paper. First, a description of the methodology used for the analysis of the existence of unit roots (i.e., the hypothesis of non-stationarity) is provided. The Dickey-Fuller approach has been used, which is the most common test for this kind of analysis. Then this methodology is applied to perform a statistical analysis of traffic series in Spanish toll highways. For this purpose, data on the AADT (annual average daily traffic) on a set of highways have been used. The period of analysis is around thirty years in most cases. The main outcome of the research is that the hypothesis that traffic volume follows a GBM process in Spanish toll highways cannot be rejected. This result is robust, and therefore it can be used as a starting point for the application of the real options theory to assess toll highway concessions.

Empirical analysis of traffic volume for the application of the options theory to highway concessions

*************************************************************************************** EL WCTR es un Congreso de reconocido prestigio internacional en el ámbito de la investigación del transporte que hasta el 2010 publicaba sus libros de abstracts con ISBN. Por ello consideramos que debería seguir teníendose en cuenta para los indicadores de calidad ******************************************************************************************* Investment projects in the field of transportation infrastructures have a high degree of uncertainty and require an important amount of resources. In highway concessions in particular, the calculation of the Net Present Value (NPV) of the project by means of the discount of cash flows, may lead to erroneous results when the project incorporates certain flexibility. In these cases, the theory of real options is an alternative tool for the valuation of concessions. When the variable that generates uncertainty (in our case, the traffic) follows a random walk (or Geometric Brownian Motion), we can calculate the value of the options embedded in the contract starting directly from the process followed by that variable. This procedure notably simplifies the calculation method. In order to test the hypothesis of the evolution of traffic as a Geometric Brownian Motion, we have used the available series of traffic in Spanish highways, and we have applied the Augmented Dickey-Fuller approach, which is the most widely used test for this kind of study. The main result of the analysis is that we cannot reject the hypothesis that traffic follows a Geometric Brownian Motion in the majority of both toll highways and free highways in Spain.

TESTANDO A TEORIA DA PARIDADE DE PODER DE COMPRA (PPC) NO PERÍODO DE 1995 A 2010

O objetivo deste trabalho é testar a teoria da Paridade de Poder de Compra em sua versão absoluta e relativa para o Brasil no período de 1995 a 2010, utilizando procedimentos da econometria visando estabelecer através de testes de hipóteses a validação ou rejeição da teoria da Paridade do Poder de Compra. Para a verificação serão utilizados os testes de Dickey-Fuller (DF), Dickey-Fuller Ampliado (ADF) e testes de Cointegração de Engle e Granger e Joahansen. Adotamos para o estudo os países EUA e Brasil, tendo em vista o fluxo de comércio entre estes países e sua importância na economia mundial. Através dos índices de preço IPA e PPI analisarse- á a validação da teoria da Paridade de Poder de Compra em sua versão relativa e absoluta, chegando-se a conclusão de aceitação de sua versão relativa e rejeição de sua versão absoluta.

Sobre o contágio nos mercados bolsistas internacionais: evidência de nove países

Mestrado em Contabilidade e Análise Financeira

Essays on mixed-frequency data : forecasting and unit root testing

Doutoramento em Economia

Testing the random walk hypothesis with variance ratio statistics

Mestrado em Finanças

Raízes unitárias e cointegração: uma introdução

É apresentada uma introdução ao tema das raízes unitárias e cointegração. Em primeiro lugar, faz-se uma breve referência genérica aos modelos ARMAX de modo a se poder fazer uma apresentação rigorosa dos modelos com mecanismo de correcção de erro. Em segundo lugar, recorda-se o conceito de estcionaridade de forma a introduzir a definição de variável integrada. Neste contexto, verifica-se que o problema da determinação da ordem de integração é equivalente ao problema da determinação do número de raízes unitárias do polinómio em L (operador de desfasamento) que permite obter uma variável estacionária. Em terceiro lugar, ilustra-se uma situação grave que pode verificar-se quando se fazem regressões com variáveis integradas não estacionárias. Trata-se do problema das regressões espúricas. Em quarto lugar, descreve-se sumariamente os testes de Dickey-Fuller de existência de raízes unitárias. Em quinto lugar, introduz-se o conceito de cointegração e a sua ligação com a existência de relações de equilíbrio de longo prazo, sendo também abordados duas questões econométricas importantes: como estimar os vectores de cointergração e como testar se duas ou mais variáveis são cointegradas. Finalmente, relaciona-se a cointegragão com modelos com mecanismo de correlação de erro.

Multicointegration, polynomial cointegration and I(2) cointegration with structural breaks. An application to the sustainability of the US external deficit

In this paper we model the multicointegration relation, allowing for one structural break. Since multicointegration is a particular case of polynomial or I(2) cointegration, our proposal can also be applied in these cases. The paper proposes the use of a residualbased Dickey-Fuller class of statistic that accounts for one known or unknown structural break. Finite sample performance of the proposed statistic is investigated by using Monte Carlo simulations, which reveals that the statistic shows good properties in terms of empirical size and power. We complete the study with an empirical application of the sustainability of the US external deficit. Contrary to existing evidence, the consideration of one structural break leads to conclude in favour of the sustainability of the US external deficit.

Osakkeiden hintojen muutokset makrotalouden muuttujia ennakoivina tekijöinä 2001-2011: BRIC-maat , euroalue, Japani ja USA.

The aim of this thesis is to examine stock returns as predictive indicators to macroeconomic variables in BRIC-countries, Japan, USA and euro area. We picked to represent macroeconomic variables interest rate, inflation, currency, gross domestic product and industrial production. For the beginning we examined previous studies and theory about the subject. Hypothesis of this thesis were derived from the previous studies. To conduct the results we used tests such augmented Dickey-Fuller, Engle-Granger co-integration, Granger causality and lagged distribution model. According to results stock returns do predictive macroeconomic variables and specifically changes of GDP and industrial production. There were few evidences of stock returns predictive power of inflation.

A DYNAMIC FRAMEWORK FOR THE RELATIONS BETWEEN FOREIGN EXCHANGE RATES, SAVINGS AND INVESTMENTS

The Meese-Rogoff forecasting puzzle states that foreign exchange (FX) rates are unpredictable. Since one country’s macroeconomic conditions could affect the price of its national currency, we study the dynamic relations between the FX rates and some macroeconomic accounts. Our research tests whether the predictability of the FX rates could be improved through the advanced econometrics. Improving the predictability of the FX rates has important implications for various groups including investors, business entities and the government. The present thesis examines the dynamic relations between the FX rates, savings and investments for a sample of 25 countries from the Organization for Economic Cooperation and Development. We apply quarterly data of FX rates, macroeconomic indices and accounts including the savings and the investments over three decades. Through preliminary Augmented Dickey-Fuller unit root tests and Johansen cointegration tests, we found that the savings rate and the investment rate are cointegrated with the vector (1,-1). This result is consistent with many previous studies on the savings-investment relations and therefore confirms the validity of the Feldstein-Horioka puzzle. Because of the special cointegrating relation between the savings rate and investment rate, we introduce the savings-investment rate differential (SID). Investigating each country through a vector autoregression (VAR) model, we observe extremely insignificant coefficient estimates of the historical SIDs upon the present FX rates. We also report similar findings through the panel VAR approach. We thus conclude that the historical SIDs are useless in forecasting the FX rate. Nonetheless, the coefficients of the past FX rates upon the current SIDs for both the country-specific and the panel VAR models are statistically significant. Therefore, we conclude that the historical FX rates can conversely predict the SID to some degree. Specifically, depreciation in the domestic currency would cause the increase in the SID.

As mudanças da indústria automobilística brasileira a partir da década de 90 : as principais políticas setoriais e a nova distribuição geográfica do segmento

Esta dissertação tem como objetivo analisar se determinadas políticas setoriais realizadas na indústria automobilística brasileira na década de 90 provocaram impacto na série de produção de veículos. Para tanto são aplicados o teste de Dickey-Fuller Aumentado, para verificar a presença de raiz unitária, e o teste de Zivot-Andrews, para verificar endogenamente a existência de quebra estrutural da série. Após a aplicação desses testes, observa-se a presença de quebra estrutural ao final de 1997, quando acontece alteração de intercepto na série, porém devido a fatores sem relação com as políticas adotadas. Também a partir de 1997 tem início um novo ciclo de investimentos na indústria montadora, sendo que se verifica que esses novos investimentos acontecem principalmente em locais que não possuíam tradição no segmento, como era o caso dos Estados de São Paulo e Minas Gerais na época. Após estudo da evolução das principais teorias de Geografia Econômica, o trabalho identifica e explora três importantes variáveis que impactaram a definição por essas novas regiões, sendo elas: mão-de-obra, custos de transporte e incentivos governamentais.

Fatores de influência no preço do milho no Brasil

Compreender a dinâmica de funcionamento do mercado de milho brasileiro, procedendo a uma investigação dos fatores que afetam as quantidades e preços nesse mercado, é o objetivo deste trabalho. Os testes de raiz unitária foram feitos utilizando-se a metodologia DF-GLS - Dickey Fuller Generalized Least Square - e os de cointegração de Johansen (1988). O modelo estimado, de ajuste pelo preço, foi um Modelo de Autorregressão Vetorial com Correção de Erros - VEC, sendo a identificação feita pelo procedimento de Sims-Bernanke. O estudo permite afirmar que existe forte interação entre os mercados de milho e de soja, mostrando uma relação de complementaridade na oferta e substitutibilidade na demanda, e que fatores macroeconômicos como renda e juros são importantes na determinação dos preços do milho ao produtor e no atacado. Vale ressaltar que os preços externos do milho mostraram relativa importância no processo de formação do preço doméstico do grão.

Rock magnetism of pelagic sediments from DSDP Leg 85 sites

A detailed rock magnetic investigation has been carried out on Deep Sea Drilling Project (DSDP) pelagic sediments from the Central Equatorial Pacific. This comprises hysteresis and thermomagnetic measurements, Lowrie-Fuller test and, for the first time, ferromagnetic resonance (FMR). Nearly stochiometric magnetite in two grain size fractions, single domain (SD) and multi domain (MD), has been deduced to be the carrier of magnetic remanence. Comparatively strong paramagnetic contributions are carried by pyrite, being identified by X-ray analysis. The statistical analysis of paleomagnetic parameters (NRM, MDF, initial susceptibility, Königsberger ratio Q) from a large number (> 1000) of samples, supported by hysteresis measurements, indicates a latitude and sedimentation rate dependent ratio of SD/MD grains. Possible sources for the magnetic constituents are discussed in terms of bacterial, volcanic, meteoritic and authigenic origin.

Tests of Joint Hypotheses for Time Series Regression with a Unit Root

This Paper Studies Tests of Joint Hypotheses in Time Series Regression with a Unit Root in Which Weakly Dependent and Heterogeneously Distributed Innovations Are Allowed. We Consider Two Types of Regression: One with a Constant and Lagged Dependent Variable, and the Other with a Trend Added. the Statistics Studied Are the Regression \"F-Test\" Originally Analysed by Dickey and Fuller (1981) in a Less General Framework. the Limiting Distributions Are Found Using Functinal Central Limit Theory. New Test Statistics Are Proposed Which Require Only Already Tabulated Critical Values But Which Are Valid in a Quite General Framework (Including Finite Order Arma Models Generated by Gaussian Errors). This Study Extends the Results on Single Coefficients Derived in Phillips (1986A) and Phillips and Perron (1986).

A preliminary investigation of the running digit span as a test of working memory

The objective of this study was to compare performance on different versions of the running span task, and to examine the relationship between task performance and tests of episodic memory and executive function. We found that the average capacity of the running span was approximately 4 digits, and at long sequence lengths, performance was no longer affected by varying the running span window. Both episodic and executive function measures correlated with short and long running spans. suggesting that a simple dissociation between immediate memory and executive processes in short and long running digit span tasks may not be warranted.