Portfolio optimization with options

A Work Project, presented as part of the requirements for the Award of a Masters Degree in Finance from the NOVA – School of Business and Economics

Arquitecturas imaginárias. Espaço real e ilusório no Barroco português

Tese de Doutoramento em Arquitectura / Cultura Arquitectónica.

Current Account imbalances, thriftiness and the real exchange rate in a growing economy

This paper analyses the theoretical relevance of the dynamical aspects of growth on the discussion about the observed positive correlation between per capita real income and real exchange rates. With this purpose, we develop a simple exogenous growth model where the internal, external and intertemporal equilibrium conditions of a typical macroeconomic model are imposed; this last one through the inclusion of a balanced growth path for the foreign assets accumulation. The main result under this consideration is that the relationship defended by the Balassa-Samuelson hypothesis is no more so straightforward. In our particular approach, the mentioned bilateral relationship depends on a parameter measuring thriftiness in the economy. Therefore, the probability of ending up with a positive relationship between growth and real exchange rates -as the classical economic theory predicts- will be higher when the economy is able to maintain a minimum saving ratio. Moreover, given that our model considers a simple Keynesian consumption function, some explosive paths can also be possible.

Three essays on the psychology of investment and financial markets

Préface My thesis consists of three essays where I consider equilibrium asset prices and investment strategies when the market is likely to experience crashes and possibly sharp windfalls. Although each part is written as an independent and self contained article, the papers share a common behavioral approach in representing investors preferences regarding to extremal returns. Investors utility is defined over their relative performance rather than over their final wealth position, a method first proposed by Markowitz (1952b) and by Kahneman and Tversky (1979), that I extend to incorporate preferences over extremal outcomes. With the failure of the traditional expected utility models in reproducing the observed stylized features of financial markets, the Prospect theory of Kahneman and Tversky (1979) offered the first significant alternative to the expected utility paradigm by considering that people focus on gains and losses rather than on final positions. Under this setting, Barberis, Huang, and Santos (2000) and McQueen and Vorkink (2004) were able to build a representative agent optimization model which solution reproduced some of the observed risk premium and excess volatility. The research in behavioral finance is relatively new and its potential still to explore. The three essays composing my thesis propose to use and extend this setting to study investors behavior and investment strategies in a market where crashes and sharp windfalls are likely to occur. In the first paper, the preferences of a representative agent, relative to time varying positive and negative extremal thresholds are modelled and estimated. A new utility function that conciliates between expected utility maximization and tail-related performance measures is proposed. The model estimation shows that the representative agent preferences reveals a significant level of crash aversion and lottery-pursuit. Assuming a single risky asset economy the proposed specification is able to reproduce some of the distributional features exhibited by financial return series. The second part proposes and illustrates a preference-based asset allocation model taking into account investors crash aversion. Using the skewed t distribution, optimal allocations are characterized as a resulting tradeoff between the distribution four moments. The specification highlights the preference for odd moments and the aversion for even moments. Qualitatively, optimal portfolios are analyzed in terms of firm characteristics and in a setting that reflects real-time asset allocation, a systematic over-performance is obtained compared to the aggregate stock market. Finally, in my third article, dynamic option-based investment strategies are derived and illustrated for investors presenting downside loss aversion. The problem is solved in closed form when the stock market exhibits stochastic volatility and jumps. The specification of downside loss averse utility functions allows corresponding terminal wealth profiles to be expressed as options on the stochastic discount factor contingent on the loss aversion level. Therefore dynamic strategies reduce to the replicating portfolio using exchange traded and well selected options, and the risky stock.

Cyclical and Welfare Effects of Public Sector Unions in a Real-Business-Cycle Model

Motivated by the highly-unionized public sectors, the high public shares in total employment, and the public sector wage premia observed in Europe, this paper examines the importance of public sector unions for macroeconomic theory. The model generates cyclical behavior in hours and wages that is consistent with data behavior in an economy with highly-unionized public sector, namely Germany during the period 1970-2007. The union model is a signifi cant improvement over a model with exogenous public employment. In addition, endogenously-determined public wage and hours add to the distortionary e ffect of contractionary tax reforms by generating greater tax rate changes, thus producing signi ficantly higher welfare losses.

Migration and trade: Theory with an Application to the Eastern- Western European Integration

The remarkable increase in trade flows and in migratory flows of highly educated people are two important features of globalization of the last decades. This paper extends a two-country model of inter- and intraindustry trade to a rich environment featuring technological differences, skill differences and the possibility of international labor mobility. The model is used to explain the patterns of trade and migration as countries remove barriers to trade and to labor mobility. We parameterize the model to match the features of the Western and Eastern European members of the EU and analyze first the effects of the trade liberalization which occured between 1989 and 2004, and then the gains and losses from migration which are expected to occur if legal barriers to labor mobility are substantially reduced. The lower barriers to migration would result in significant migration of skilled workers from Eastern European countries. Interestingly, this would not only benefit the migrants and most Western European workers but, via trade, it would also benefit the workers remaining in Eastern Europe. Key Words: Skilled Migration, Gains from Variety, Real Wages, Eastern-Western Europe. JEL Codes: F12, F22, J61.

Relative price riddles in international business cycle theory: Are transport costs the explanation?

We study relative price behavior in an international business cyclemodel with specialization in production, in which a goods marketfriction is introduced through transport costs. The transporttechnology allows for flexible transport costs. We analyze whetherthis extension can account for the striking differences betweentheory and data as far as the moments of terms of trade and realexchange rates are concerned. We find that transport costs increaseboth the volatility of the terms of trade and the volatility of thereal exchange rate. However, unless the transport technology isspecified by a Leontief technology, transport costs do not resolvethe quantitative discrepancies between theory and data. Asurprising result is that transport costs may actually lower thepersistence of the real exchange rate, a finding that is in contrastto much of the emphasis of the empirical literature.

Grinder's Group Mastery Theory : scientific research and its application to classroom teaching

Estudi centrat en el paper de la comunicació no verbal com a eina docent per a la gestió de l’aula, prenent com a referència el model de comunicació de Michael Grinder (Pentimento), basat en la Programació Neuro-lingüística (PNL). Aquest model s’analitza i es compara amb altres models i estudis sobre la comunicació no verbal, per establir-ne similituds i diferències. Per tal d’avaluar l’eficàcia de les tècniques de gestió de l’aula a través de la comunicació no verbal proposades per Grinder en un context educatiu real, s’inclouen i s’analitzen enregistraments de la implementació de diferents tècniques en un institut de secundària de Catalunya. Tota la informació recollida i analitzada permet valorar i ressaltar com és de significatiu tot allò que s’expressa més enllà del llenguatge, i per tant, com són d’importants i d’útils les habilitats comunicatives d’un professor en la seva tasca d’ensenyar.

Virtualització de servidors. Avantatges. Implantació en una PIME real

 En la societat d’avui dia, les empreses depenen en gran part dels seus recursos informàtics. La seva capacitat de supervivència i innovació en el mercat actual, on la competitivitat és cada dia més forta, passa per una infraestructura informàtica que els permeti, no només desplegar i implantar ordinadors i servidors de manera ràpida i eficient sinó que també les protegeixi contra parades del sistema informàtic, problemes amb servidors, caigudes o desastres físics de hardware.Per evitar aquests problemes informàtics susceptibles de poder parar el funcionament d’una empresa es va començar a treballar en el camp de la virtualització informàtica amb l’objectiu de poder trobar solucions a aquests problemes a la vegada que s’aprofitaven els recursos de hardware existents d’una manera més òptim a i eficient, reduint així també el cost de la infraestructura informàtica.L’objectiu principal d’aquest treball és veure en primer pla la conversió d’una empresa real amb una infraestructura informàtica del tipus un servidor físic -una funció cap a una infraestructura virtual del tipus un servidor físic -varis servidors virtual -vàries funcions. Analitzarem l’estat actual de l’empresa, servidors i funcions, adquirirem el hardware necessari i farem la conversió de tots els seus servidors cap a una nova infraestructura virtual.Faig especial atenció a les explicacions de perquè utilitzo una opció i no un altre i també procuro sempre donar vàries opcions. Igualment remarco en quadres verds observacions a tenir en compte complementàries al que estic explicant en aquell moment, i en quadres vermells temes en els que s’ha de posar especial atenció en el moment en que es fan. Finalment, un cop feta la conversió, veurem els molts avantatges que ens ha reportat aquesta tecnologia a nivell de fiabilitat, estabilitat, capacitat de tolerància a errades, capacitat de ràpid desplegament de noves màquines, capacitat de recuperació del sistema i aprofitament de recursos físics.

Towards a theory of the credit-risk balance sheet

This article designs what it calls a Credit-Risk Balance Sheet (the risk being that of default by customers), a tool which, in principle, can contribute to revealing, controlling and managing the bad debt risk arising from a company¿s commercial credit, whose amount can represent a significant proportion of both its current and total assets.To construct it, we start from the duality observed in any credit transaction of this nature, whose basic identity can be summed up as Credit = Risk. ¿Credit¿ is granted by a company to its customer, and can be ranked by quality (we suggest the credit scoring system) and ¿risk¿ can either be assumed (interiorised) by the company itself or transferred to third parties (exteriorised).What provides the approach that leads to us being able to talk with confidence of a real Credit-Risk Balance Sheet with its methodological robustness is that the dual vision of the credit transaction is not, as we demonstrate, merely a classificatory duality (a double risk-credit classification of reality) but rather a true causal relationship, that is, a risk-credit causal duality.Once said Credit-Risk Balance Sheet (which bears a certain structural similarity with the classic net asset balance sheet) has been built, and its methodological coherence demonstrated, its properties ¿static and dynamic¿ are studied.Analysis of the temporal evolution of the Credit-Risk Balance Sheet and of its applications will be the object of subsequent works.

Towards a theory of the credit-risk balance sheet

This article designs what it calls a Credit-Risk Balance Sheet (the risk being that of default by customers), a tool which, in principle, can contribute to revealing, controlling and managing the bad debt risk arising from a company¿s commercial credit, whose amount can represent a significant proportion of both its current and total assets.To construct it, we start from the duality observed in any credit transaction of this nature, whose basic identity can be summed up as Credit = Risk. ¿Credit¿ is granted by a company to its customer, and can be ranked by quality (we suggest the credit scoring system) and ¿risk¿ can either be assumed (interiorised) by the company itself or transferred to third parties (exteriorised).What provides the approach that leads to us being able to talk with confidence of a real Credit-Risk Balance Sheet with its methodological robustness is that the dual vision of the credit transaction is not, as we demonstrate, merely a classificatory duality (a double risk-credit classification of reality) but rather a true causal relationship, that is, a risk-credit causal duality.Once said Credit-Risk Balance Sheet (which bears a certain structural similarity with the classic net asset balance sheet) has been built, and its methodological coherence demonstrated, its properties ¿static and dynamic¿ are studied.Analysis of the temporal evolution of the Credit-Risk Balance Sheet and of its applications will be the object of subsequent works.

Trauma and disorganized attachment in refugee children : integrating theories and exploring treatment options

Refugee families incur many different types of stressors in the course of the phases prior to flight, those of flight, and resettlement. Multiple and varied negative life events and traumas, such as those experienced by refugee families, may give rise to negative changes in attachment between children and their parents. However, such negative changes in attachment may be countered through the use of culturally appropriate counselling theories and their respective interventions. The integration of attachment theory with family systems, trauma systems, and cognitive behavioural theories and the use of cognitive behavioural caregiver support, filial therapy training, and play therapy interventions are discussed as a treamtent framework for promoting more positive and secure attachments between refugee children and their caregivers.

Machine learning for spatial environmental data. Theory, applications and software

The book presents the state of the art in machine learning algorithms (artificial neural networks of different architectures, support vector machines, etc.) as applied to the classification and mapping of spatially distributed environmental data. Basic geostatistical algorithms are presented as well. New trends in machine learning and their application to spatial data are given, and real case studies based on environmental and pollution data are carried out. The book provides a CD-ROM with the Machine Learning Office software, including sample sets of data, that will allow both students and researchers to put the concepts rapidly to practice.

Moeglichkeiten der systemischen Therapie im metastasierten Stadium [Treatment options for chemotherapy in metastatic gastric cancer]

Die Ergebnisse mehrerer, in letzter Zeit publizierter Phase-III-Studien haben die therapeutischen Möglichkeiten in der Behandlung des metastasierten Magenkarzinoms deutlich erweitert. Die Dauerinfusion von 5-Fluorouracil (5-FU) kann ohne Verlust an Wirkung durch Capecitabin ersetzt werden, ebenso wie Cisplatin durch Oxaliplatin. Nach den Ergebnissen der REAL-2-Studie zeigt die Kombination aus Epirubicin, Oxaliplatin und Capecitabin (EOX) eine Verbesserung des Gesamtüberlebens (9,9 vs. 11,2 Monate; HR 0,8) im Vergleich zu Epirubicin, Cisplatin und 5-FU (ECF). Die Frage, ob in der First-Line-Therapie eine Dreifachkombination oder eine Zweifachkombination eingesetzt werden sollte, ist allerdings weiterhin umstritten. Die Kombination aus Irinotecan und 5-FU stellt für solche Patienten, bei denen aufgrund von Komorbiditäten eine platinfreie Therapie bevorzugt wird, eine Alternative zur Kombination Cisplatin/5-FU dar. Docetaxel, 5-FU und Cisplatin (DCF) hat sich bezüglich des Überlebens in einer randomisierten Phase-III-Studie als statistisch signifikant überlegen erwiesen, allerdings besteht eine ausgeprägte hämatologische Toxizität, welche die Anwendbarkeit insbesondere bei den häufig älteren Patienten mit einem Magenkarzinom limitiert. Randomisierte Phase-III-Studien zum Vergleich von DCF mit anderen Dreierkombinationen, wie z. B. EOX, stehen aus. Recently published results from several phase III trials have significantly increased the therapeutic options in the treatment of metastatic stomach cancer: The continuous infusion of 5-FU can be replaced by capecitabine, and cisplatin can be replaced by oxaliplatin in both cases without impairing efficacy. According to the results of the REAL-2 trial, the combination of epirubicin, oxaliplatin and capecitabine (EOX) achieved superior results for overall survival compared to epirubicin, cisplatin und 5-FU (ECF) (9.9 versus 11.2 months, HR 0.8). However, the question of whether an optimal first line therapy should include a triplet regimen or the sequential use of doublets is a matter of debate. The combination of irinotecan and 5-FU may serve as an alternative to platinum-containing regimens in patients where, due to co-morbidity, a platinum-free regimen is preferred. The 3-drug combination of docetaxel, 5-FU and cisplatin (DCF) demonstrated a statistically significant survival benefit compared to the 2-drug combination of 5-FU and cisplatin in a randomized phase III trial, although results were limited by a particularly significant hematological toxicity, which prevents its application in the large group of elderly patients with gastric cancer. Direct randomized phase III comparisons of DCF with other 3-drug combinations, such as EOX are still missing.