Submitted by Jerckns Cruz (jerckns@hotmail.com) on 2009-12-11T03:37:02Z No. of bitstreams: 1 tese_Jerckns Cruz.pdf: 208471 bytes, checksum: 6be3209c95745116ae6d8db9f6c2ea1b (MD5) / Approved for entry into archive by Gisele Gammaro(gisele.gammaro@fgv.br) on 2009-12-14T15:03:00Z (GMT) No. of bitstreams: 1 tese_Jerckns Cruz.pdf: 208471 bytes, checksum: 6be3209c95745116ae6d8db9f6c2ea1b (MD5) / Made available in DSpace on 2009-12-14T15:03:09Z (GMT). No. of bitstreams: 1 tese_Jerckns Cruz.pdf: 208471 bytes, checksum: 6be3209c95745116ae6d8db9f6c2ea1b (MD5) / The theory of Behavioral Finance emerges as a new approach to the financial market, arguing that some events are better explained if the restrictions of investor’s rationality are relaxed. Concepts of psychology and limits to arbitrage are used to model market inefficiencies, bringing up the idea that market can be systematically beaten. This paper proposes a new model, of simple implementation, to explore the abnormal returns from the momentum and mean reversion strategies simultaneously. The idea of a long term momentum effect stronger than the short term effect is introduced, but the empirical results show that the Brazilian market dynamics reject this concept. The model fails to achieve riskless positive returns. / A teoria de Finanças Comportamentais surge como uma nova abordagem ao mercado financeiro, argumentando que alguns eventos podem ser mais bem explicados se as restrições da racionalidade do investidor são relaxadas. Conceitos de psicologia e limites à arbitragem são usados para modelar as ineficiências, criando a idéia de ser possível ganhar sistematicamente do mercado. Este trabalho propõe um novo modelo, simplista na sua implementação, para aproveitar os retornos anormais advindos de estratégias de momentum e reversão à média simultaneamente. A idéia de um efeito momentum de longo prazo mais forte que o de curto prazo é introduzida, mas os resultados empíricos mostram que a dinâmica do mercado brasileiro rejeita este conceito. O modelo falha em conseguir retornos positivos e livres de risco.

In this thesis, we consider the pricing problem of an American put option. We introduce a new market model for the evolution of the underlying asset price. Our model adds a new parameter to the well known Heston model. Hence we name our model the extended Heston model. To solve the American put pricing problem we adapt the idea developed by Fouque et al. (2000) to derive the asymptotic formula. We then connect the idea developed by Medvedev and Scaillet (2010) to provide an asymptotic solution for the leading order term P0. We do numerical analysis to gain insight into the accuracy and validity of our asymptotic approximation formula.

This study examines the relationship between mean reversion and a black swan event on the Swedish stock market. The data is taken from the Mid Cap and the Large Cap and then compared with the OMXS index. The purpose is to try and find evidence of mean reversion on both lists and if a black swan event will interfere with the mean reverting behaviour. The results we could find was that there is mean reversion on the market for our time period 2005-2022. We could also find evidence of mean reversion during the three black swan events, 2008 financial crisis, Brexit, and Covid-19 pandemic.

The first chapter investigates how corporate governance influences firms’ capital structure behavior. Based on the premise that costs associated with deviations from the target capital structure are positively correlated to the extent of deviation, we hypothesize that the initial deviation from the target will be shorter for a firm with good corporate governance than for a firm with poor corporate governance. We also hypothesize that the former group will employ a higher speed of adjustment towards target than the latter group due primarily to the following reasons. First, a firm with well-placed governance system will adjust at a faster rate because longer it stays deviated, the higher the loss of value it faces. Second, firms with better governance structures enjoy lower adjustment costs. We develop three sets of measures for the quality of corporate governance and analyze how they influence a firm’s rebalancing behavior in presence of relevant control variables. Our results are consistent with the hypotheses. The second chapter explores investors’ reactions to new information on REITs and non-REITs option markets. The real estate market can be fairly volatile; what remains unclear is whether price changes are excessively volatile relative to fundamentals. This study attempts to examine the latter by using the methodology based on Stein (1989), which utilizes option data. The advantage of using option data rather than stock data to assess the reactions to information is that option valuation is not affected by changes in risk premium. Under volatility mean reversion, the changes in implied volatilities of long-term options should be less than those of short-term options. If not, an excessive reaction is suggested. Specifically, the study compares the changes in implied volatilities of options on REITs and non-REITs. Because real estate transactions typically involve a great degree of leverage, reactions can be greater for REITs than for non-REITs; on the other hand, there are several reasons that REITs are subject to potentially a lower degree of excessive reactions. Empirical results indicate that the reactions to information are stronger in non-REITs than in REITs. Moreover, we find that down markets are associated with stronger reactions, which we argue might be due to a leverage effect.

[pt] O presente estudo tem como objetivo testar a possibilidade de obtenção de retornos anormais de capital entre jan/2003 e dez/2012 para o mercado acionário brasileiro no curtíssimo prazo. Investigou-se, para tanto, a hipótese de reversão à média de curto prazo associada a uma seleção de ativos (ações) com base no critério de ordenamento decrescente do múltiplo P/VPA. Os ativos integrantes das carteiras vigentes do IBrX-100 foram ordenados de forma decrescente e em seguida estratégias contrárias com carteiras compradas em ações perdedoras e vendidas em ganhadoras foram montadas e testadas nos períodos subseqüentes. Evidências empíricas foram encontradas a favor da combinação de estratégias de valor e momento e, consequentemente, a favor da possibilidade de retornos anormais. Entretanto, o teste estatístico realizado felha em rejeitar a hipótese da significância dos resultados. Por fim, o trabalho investigou a existência de retornos residuais, expressos pelos Coeficientes de Jensen. Contudo, novamente o teste estatístico realizado não foi capaz de confirmar a significância dos resultados. / [en] The goal of this study is to test the possibility of obtaining abnormal capital returns between Jan/2003 and Dec/2012 for the Brazilian stock market in the very short run. We investigated, therefore, the hypothesis of mean reversion of returns associated with a selection of assets (shares) based on the criteria of descending order of P/BV ratio. Assets present in IBrX – 100 existing portfolios were ranked in decreasing order of P/BV ratio and then contrarian strategies were used with portfolios built by winner and loser stocks to test the abnormal returns in subsequent periods. Empirical evidences were found for the combination of Value and Momentum strategies and therefore for the possibility of abnormal returns. However, the statistical test performed fail to reject the hypothesis of significance of the results. Finally, the study investigated the existence of residua returns, expressed by Jensen Coeficients. However, once again the statistical test performed was not able to confirm the significance of the results.

[pt] O objetivo da presente dissertação é capturar o valor da flexibilidade que uma planta XTL oferece na entrada do sistema produtivo, onde podem ser utilizados diversos tipos de insumos como matéria-prima. A saída do sistema produtivo também permite que diferentes produtos sejam produzidos. Desta forma, o autor considera que a metodologia das opções reais é a mais indicada para se avaliar tais flexibilidades, sendo o objeto principal deste estudo a análise da opção de conversão (Input/Output Switch option) através da utilização do processo estocástico de reversão à média com saltos. Os resultados desta dissertação podem auxiliar a tomada de decisão dos gestores da área de petróleo e energia, onde outros projetos já foram avaliados através dessa mesma metodologia, no entanto, não existe qualquer interesse em comprovar a eficiência da teoria das opções reais frente às metodologias de avaliação financeira usuais. / [en] The objective of this dissertation is to value the operational flexibility that a GTL plant can offer at the entrance of the productive process where multiples inputs can be used as row material. Different products also can be produced. The real options theory is considered by the author as the most indicated financial methodology to value theses flexibilities and the main goal of the present study is to value the Input/Output switch option and the mean reversion with jumps stochastic process. The aim of this study is also to support manager´s investment decision from oil and energy field, where others projects has been already valuated with real options theory so the proof of the theory efficiency against traditional valuation methodologies is not object from this study.

[pt] O Presente trabalho tem como objetivo analisar a viabilidade econômica de uma planta XTL usando a teoria das Opções Reais. Esta metodologia é a mais adequada para avaliar a capacidade que este tipo de projeto dispões de trocar de input e/ou output, ou seja, eleger a cesta que maximiza o resultado final, de acordo com cada cenário. Essa política ótica permite avaliar a construção de uma planta com flexibilidades, com o investimento ocorrendo em um ambiente de incerteza, onde os preços (fatores de incerteza) serão considerados estocáticos e seguirão um Movimento de Reversão à Média. Os cálculos numéricos serão feitos através da simulação de Monte Carlo. A tecnologia, designada XTL, está dividida em duas etapas: um processo de gaseificação seguido de um processo GTL (gás-to- liquid). A gaseificação permite transformar sólidos, líquidos e gases em gás de síntese, que será usado como input do GTL. Já o GTL possibilita transformar o gás de síntese em líquidos de alta qualidade, tais como nafta, diesel, parafinas e lubrificantes. Por associação, esta dissertação faz parte de um projeto que visa aplicar a teoria de Opções Reais na avaliação de investimentos em Pesquisa e Desenvolvimento (P&D), com a finalidade de valorar e considerar as flexibilidades inerentes a este tipo de projeto. / [en] The present work has objective to analyze the investiment of a XTL plant using the Real Options Theory. This methodology is adjusted to evaluate the capacity that this project has to changes its input and/or output, in other words, to elect the option that maximizes payoff, in accordance with each scenario, allowing to evaluate the construction of a plant with flexibilities with the investiments happening in an environment of economical and/or technical uncertainties, where the prices (uncertainty factors) are stochastic and will follow the Mean Reversion Model, calculated by the Monte Carlo Simulation. The XTL technology is divided in two stages: a gasification process followed by a GTL (gas-to-liquid) process. The gasification process allows you to transform solids, liquids and gases into synthesis gas, that will be used as input of the GTL. The GTL makes possible to transform the syntesis gas into high quality liquids, such as naphtha, diesel, paraffins and lubrificants. This work is part of a project, with the objective to apply the Real Options Theory in the evaluation of investiments in Research and Development (R&D), aiming to price and consider the flexibilities that are inherent to this project.

Several existing pricing models of financial derivatives as well as the effects of volatility risk are analyzed. A new option pricing model is proposed which assumes that stock price follows a diffusion process with square-root stochastic volatility. The volatility itself is mean-reverting and driven by both diffusion and compound Poisson process. These assumptions better reflect the randomness and the jumps that are readily apparent when the historical volatility data of any risky asset is graphed. The European option price is modeled by a homogeneous linear second-order partial differential equation with variable coefficients. The case of underlying assets that pay continuous dividends is considered and implemented in the model, which gives the capability of extending the results to American options. An American option price model is derived and given by a non-homogeneous linear second order partial integro-differential equation. Using Fourier and Laplace transforms an exact closed-form solution for the price formula for European call/put options is obtained.

近年來，能源商品的價格隨著國際政治情勢、國際金融環境以及景氣循環的影響產生劇烈波動，基於避險的需求，衍生性商品交易量也逐漸增加。然而，在評價能源衍生性商品的過程中，即期價格動態模型的選擇對於訂價與避險的結果有著顯著的影響，如何選擇一個適當的動態模型以評價能源商品便成為本文研究的目標。在指數與股價選擇權的評價模型中，大多以Black and Scholes (1973)提出的選擇權評價模型作為基礎，但Black-Scholes模型是否適用於評價能源市場的選擇權價格卻是有待商榷。Schwartz (1997)提出以均數回歸模型 (Mean Reversion Model)描述能源即期價格，發現比Black-Scholes模型中所假設的即期價格動態模型更能描述能源市場即期價格的波動。本研究也考慮能源市場遇到重大事件而造成即期價格產生劇烈波動的情況，因此在模型中加入跳躍項以捕捉價格跳躍的現象。另外，能源商品的需求與季節變化有高度相關性，因此本文亦考量即期價格的變動會受到季節性的變動影響，在模型中加入季節性函數，以補捉季節性的價格變化。基於前述模型考量，本研究在各種描述能源商品即期價格特性的動態模型之下，推導各個模型的期貨選擇權定價公式，進一步測試各模型在金融風暴與非金融風暴期間的訂價誤差與避險誤差，以提供投資人或避險需求者於原油期貨選擇權模型選用上之參考。 / In recent years, the price of energy commodities has fluctuated with the international political situation and the international financial environment. For the sake of hedging demands, the trading volume of derivatives has been gradually increasing. In the process of valuation of energy derivatives, choices of the spot price dynamics model have a significant impact on pricing and hedging. Therefore, how to choose an appropriate dynamic model to evaluate the energy commodities has been main purpose of this study. Two main models are tested in this paper. One is the option pricing model supposed by Black and Scholes (1973), and another is the mean reversion model supposed by Schwartz (1997). This study also considered the volatility of the spot price in the energy market in case of major events, so the researcher adds the jump to explore the mean reversion model. In addition, the demand for energy commodities is highly correlated with seasonal variations. The vibration of spot price often affected by the seasonal variations is considered in the research. Therefore, the researchers also take the seasonal function into the research to capture the seasonal price changes. Based on considerations described above, the pricing formula for each model of futures option is evaluated in the research. The researcher further tests the pricing errors and hedging errors of each model during the financial crises and non-financial crises in order to provide the investors and hedging demanders with some suggestions about selecting oil futures option models.

[pt] Esta dissertação procura analisar através de um estudo de caso, as alternativas de desenvolvimento de um campo de petróleo já descoberto, mas ainda não explorado, utilizando a Teoria das Opções Reais. A partir deste estudo, será possível avaliar uma alternativa de desenvolvimento da produção de dois poços de petróleo, que serão explorados no futuro, dependendo das condições de mercado e das informações técnicas geradas pela produção inicial do campo. A dissertação tem como principal objetivo comparar os resultados das incertezas de mercado no preço do petróleo representadas pelos processos estocásticos, o Movimento Geométrico Browniano e o Processo de Reversão à Média com Saltos, para determinação da ferramenta gerencial denominada Curva de Gatilho. / [en] This dissertation search for to analyze through a study of case, the alternatives of development of a oil field already discovered, but not yet exploited, using the Theory of the Real Options. From this study, it will be possible to evaluate an alternative of development of the production of two wells, that will be explored in the future, depending on the market conditions and of the technical informations generated for the initial production of the field. The dissertation has as mean objective to compare the results of the uncertainties of market in the price of oil rerepresented by Estocastic Processes, the Geometric Browniano Movement and the Process of Mean Reversion with Jumps, for determination of the management tool named of Trigger.