Two additions to Lucas's "inflation and welfare"

This work adds to Lucas (2000) by providing analytical solutions to two problems that are solved only numerically by the author. The first part uses a theorem in control theory (Arrow' s sufficiency theorem) to provide sufficiency conditions to characterize the optimum in a shopping-time problem where the value function need not be concave. In the original paper the optimality of the first-order condition is characterized only by means of a numerical analysis. The second part of the paper provides a closed-form solution to the general-equilibrium expression of the welfare costs of inflation when the money demand is double logarithmic. This closed-form solution allows for the precise calculation of the difference between the general-equilibrium and Bailey's partial-equilibrium estimates of the welfare losses due to inflation. Again, in Lucas's original paper, the solution to the general-equilibrium-case underlying nonlinear differential equation is done only numerically, and the posterior assertion that the general-equilibrium welfare figures cannot be distinguished from those derived using Bailey's formula rely only on numerical simulations as well.

Análise de projetos de investimentos : uma abordagem teórico-prática

The objective of this work is to search a real case of capital budgeting, relating the practical technical aspects of the elaboration of project, with theoretical referential and following secondary objectives: (i) to analyze the relations established between the bibliographical material and the found practical technical problems of capital budgeting in the enterprise; (ii) to search and to describe the necessary pacing to the economic and financial elaboration of an project, from the prospecting of the demand, the projection of revenues and expenditures and the evaluation of the necessary investments to its development; (iii) to relate and to exemplify the influences of the restrictions presented for the methods of capital budgeting, correlating the practical theoretical referential with the enterprise; (iv) to analyze the yield of the investment project, (v) to verify the influence of the financing, on the yield of the project; and, finally, (vi) to demonstrate the choice process among some alternatives of supply, when used as tools of aid to the purchase decision, the methods of the Internal Tax of Return and the Net Present Value. To the end of the study one concluded that the methods of the Internal Tax of Return and the Net Present Value are powerful tools in the yield evaluation and viability of investments projects. However, to only understand the methods through what they teach in books is not enough for the daily practical of capital budgeting. Literature starts from two basic points: (i) the investments analyst dominates all the countable revenues, expenditures, and investments concepts.(ii) the numerical examples are simple and easy to understand, to infer its practical applications is a contouring question to be raised and passed by the analyst. This study intends to show the conjunction of the bibliography with the practical one, therefore, from the instant that demonstrates the countable concept of the prescription, it also explains as it was constituted from the calculation of the demand, until its inclusion in the project. Thus, searching concepts of revenues, expenditures, depreciation and capital assets, disclosing its constitution and, over all, the application inside of the project, it all takes the analyst to the final part of the process, that consists in the determination of the numerical calculations, allowing to dedicate more time to the difficult task to interpret the data. Finally, understood the analysis of the economic viability of the project, the study guides the purchase of the equipment under the economic-financial point of view.

Dinâmica monetária eficiente sob encontros aleatórios: uma classe de métodos numéricos que exploram concavidade

A dificuldade em se caracterizar alocações ou equilíbrios não estacionários é uma das principais explicações para a utilização de conceitos e hipóteses que trivializam a dinâmica da economia. Tal dificuldade é especialmente crítica em Teoria Monetária, em que a dimensionalidade do problema é alta mesmo para modelos muito simples. Neste contexto, o presente trabalho relata a estratégia computacional de implementação do método recursivo proposto por Monteiro e Cavalcanti (2006), o qual permite calcular a sequência ótima (possivelmente não estacionária) de distribuições de moeda em uma extensão do modelo proposto por Kiyotaki e Wright (1989). Três aspectos deste cálculo são enfatizados: (i) a implementação computacional do problema do planejador envolve a escolha de variáveis contínuas e discretas que maximizem uma função não linear e satisfaçam restrições não lineares; (ii) a função objetivo deste problema não é côncava e as restrições não são convexas; e (iii) o conjunto de escolhas admissíveis não é conhecido a priori. O objetivo é documentar as dificuldades envolvidas, as soluções propostas e os métodos e recursos disponíveis para a implementação numérica da caracterização da dinâmica monetária eficiente sob a hipótese de encontros aleatórios.

Welfare costs of inflation when interest-bearing deposits are disregarded: a calculation of the bias

Most estimates of the welfare costs of in ation are devised considering only noninterest- bearing assets, ignoring that since the 80s technological innovations and new regulations have increased the liquidity of interest-bearing deposits. We investigate the resulting bias. Suscient and necessary conditions on its sign are presented, along with closed-form expressions for its magnitude. Two examples dealing with bidimensional bilogarithmic money demands show that disregarding interest-bearing monies may lead to a non-negligible overestimation of the welfare costs of in ation. An intuitive explanation is that such assets may partially make up for the decreased demand of noninterest-bearing assets due to higher in ation.

A Numerical method for the semilinear stochastic transport equation

Trabalho apresentado no XXXV CNMAC, Natal-RN, 2014.

A Higher order and stable method for the numerical integration of Random Differential Equations

Trabalho apresentado no Congresso Nacional de Matemática Aplicada à Indústria, 18 a 21 de novembro de 2014, Caldas Novas - Goiás

Numerical integration of coupled stochastic oscillators driven by Random Forces

Trabalho apresentado no International Conference on Scientific Computation And Differential Equations 2015