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Decisão ótima de corte de uma floresta de eucalipto, utilizando diferenças finitas totalmente implícitas com algoritmo PSORKerr, Roberto Borges 29 September 2008 (has links)
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Previous issue date: 2008-09-29 / The Theory of Financial Decision Making tries to understand and explain how individuals and their agents make choices among alternatives that have uncertain payoffs over multiple time periods. The theory that explains how and why these decisions are made allows serveral models, presented in this thesis. However, the ortodox theory does not recognize the qualitative importance and quantitative implications of the interactions among irriversibility, uncertainty, and optimal point in time for investment. Decision making involves almost always three important characteristics; the investment is partially or completely irreversible, there is uncertainty about the stream of future cash flows, and there is a window of time for the decision to be made. These characteristics have to be taken into consideration in determining the optimal time for investment, because flexibility has value. The objective of
this thesis is to demonstrate that the real options approach to uncertainty in resource allocation and investment decision making is able to capture the value of managerial flexibility properly and produces better results in modeling the optimal time to cut a stand of trees in a forestry investment project. The theory of real options is used to model the optimal tree harvesting decision. The linear complementarity partial differential inequalities were solved using the numerical method known as fully implicit finite difference method, with the projected over relaxation (PSOR) algorithm, using a software developed specially for this purpose. / A Teoria das Decisões Financeiras procura entender e explicar como indivíduos e seus agentes tomam decisões de consumo, poupança e investimento dentre as alternativas disponíveis. O estudo do consumo e de decisões de investimento, feitas por indivíduos e empresas, permite diversos modelos, apresentados neste trabalho. Entretanto, a teoria de
investimento ortodoxa não reconhece a importância qualitativa e as implicações quantitativas da interação entre irreversibilidade, incerteza e a decisão ótima do ponto no tempo. A maioria das decisões de investimento compartilha em maior ou menor grau três características importantes, o investimento é parcialmente ou completamente irreversível, há incerteza quanto aos fluxos de caixa futuros do investimento, há alguma margem de tempo para que a decisão seja tomada. Estas três características têm que ser levadas em conta na determinação da decisão ótima de investimento, pois a flexibilidade tem valor. O objetivo deste trabalho é demonstrar que a abordagem das opções reais é capaz de quantificar adequadamente a flexibilidade gerencial na avaliação de um projeto de investimento de capital sob incerteza e produz melhores resultados na modelagem da decisão ótima de corte de um povoamento de árvores em um projeto de reflorestamento. A decisão ótima de colheita foi modelada como uma opção real do tipo americano, as inequações diferencias do problema de complementaridade linear foram resolvidas pelo método das diferenças finitas totalmente
implícitas e o sistema linear de equações simultâneas foi resolvido por meio de uma técnica interativa denominada projected over relaxation (PSOR), com a ajuda de um software
especialmente desenvolvido para este fim.
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A Real Options Approach to Modeling Investments in Competitive, Dynamic Retail MarketsAshuri, Baabak 12 June 2008 (has links)
The retail industry is considered to be a very competitive industry in the United States since there are so many players in the almost saturated retail markets that provide similar products and services at similar price levels to customers. Market selection has been identified as an important strategy to differentiate a retailer in this competitive market. Therefore in this thesis, we describe a conceptual framework to evaluate retailers investment opportunities in dynamic, competitive retail markets. The objective is to describe a conceptual investment analysis framework to address the strategic aspects of a retailer s investment opportunity as well as the dynamic uncertainty of a retail market in a single framework. This conceptual framework outlines a strategic view towards retail stores as flexible assets of a retail enterprise. This conceptual framework is general and can be adjusted and applied to investments options in other services.
In addition, we develop an integrated investment analysis approach based on dynamic programming to explore retailers investment behaviors in dynamic markets. The objective is to determine retailers optimal investment thresholds in noncompetitive and competitive markets. We consider two retailers to illustrate our approach and use a simple game theory treatment to address competition in retail markets. We use our integrated investment analysis model based on a real options methodology to evaluate the apparent tendency for the small discount retailer invests earlier in a new developing market due to the competition effect from the large discount retailer. This early entry gives the small retail a first-mover advantage and delays the big retailer s entry into the competitive market. In addition, we conduct sensitivity analysis to characterize how significantly the values of our model parameters impact the retailers investment decisions.
We also develop an integrated investment analysis approach based on contingent claims analysis to explore retailers investment behaviors in dynamic markets. The objective is to determine retailers optimal investment thresholds in noncompetitive and competitive markets. The equivalent risk neutral evaluation approach is presented in this thesis as an extended version of the contingent claims analysis approach, which facilitates the market-oriented valuation of the retailer s investment option in dynamic markets. Sensitivity analysis is conducted to study how retailers optimal investment thresholds change as the values of parameters in this equivalent risk neutral evaluation approach change. The relationship between the dynamic programming and the equivalent risk neutral evaluation approach is also summarized in this thesis to identify the similarities and the differences between these two investment analysis approaches. One of the most important objectives of this comparison is to determine in what market conditions the choice of investment analysis approach is critical and dramatically changes the retailer s optimal investment threshold.
Finally, we empirically examine an important aspect of our theoretical work that the big retailer invests and opens a store relatively later in markets with a small retailer compared to markets without a small retailer. In addition, the big retailer opens a store at relatively higher retail market potential in markets with a small retailer compared to markets without a small retailer. In this thesis, we discuss some empirical evidence to support these theoretical results. We chose Wal-Mart and Dollar General as the big and small retailers, respectively, in our empirical study. Our empirical results do not validate the theory and just provide supporting evidence for our theoretical works.
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