The ex-Ante non-optimality of the Dempster-Schafer updating rule for ambiguous beliefs

The most widely used updating rule for non-additive probalities is the Dempster-Schafer rule. Schmeidles and Gilboa have developed a model of decision making under uncertainty based on non-additive probabilities, and in their paper “Updating Ambiguos Beliefs” they justify the Dempster-Schafer rule based on a maximum likelihood procedure. This note shows in the context of Schmeidler-Gilboa preferences under uncertainty, that the Dempster-Schafer rule is in general not ex-ante optimal. This contrasts with Brown’s result that Bayes’ rule is ex-ante optimal for standard Savage preferences with additive probabilities.

Term structure dynamics and no-arbitrage under the Taylor rule

A determinação da taxa de juros estrutura a termo é um dos temas principais da gestão de ativos financeiros. Considerando a grande importância dos ativos financeiros para a condução das políticas econômicas, é fundamental para compreender a estrutura que é determinado. O principal objetivo deste estudo é estimar a estrutura a termo das taxas de juros brasileiras, juntamente com taxa de juros de curto prazo. A estrutura a termo será modelado com base em um modelo com uma estrutura afim. A estimativa foi feita considerando a inclusão de três fatores latentes e duas variáveis ​​macroeconômicas, através da técnica Bayesiana da Cadeia de Monte Carlo Markov (MCMC).

Bailey's rule for the welfare of inflation: a theoretical foundation

This paper demonstrates that for a very general class of monetary models (the Sidrauski type models and the cash-in-advance models), Bailey’s rule to evaluate the welfare efect of infation is in deed accurate. The result applies for any technology or preference, if the long-run capital stock does not depend on the ination rate. In general, a dynamic version of Bailey’s rule is established. In particular, the result extends to models in which there is a banking sector that supplies money substitutes services. A dditionally, it is argued that the relevant money demand concept for this issue- the impact of in ination under welfare- is the monetary base.

Testing the optimality of aggregate consumption decisions: is there rule-of-thumb behavior?

Consumption is an important macroeconomic aggregate, being about 70% of GNP. Finding sub-optimal behavior in consumption decisions casts a serious doubt on whether optimizing behavior is applicable on an economy-wide scale, which, in turn, challenge whether it is applicable at all. This paper has several contributions to the literature on consumption optimality. First, we provide a new result on the basic rule-of-thumb regression, showing that it is observational equivalent to the one obtained in a well known optimizing real-business-cycle model. Second, for rule-of-thumb tests based on the Asset-Pricing Equation, we show that the omission of the higher-order term in the log-linear approximation yields inconsistent estimates when lagged observables are used as instruments. However, these are exactly the instruments that have been traditionally used in this literature. Third, we show that nonlinear estimation of a system of N Asset-Pricing Equations can be done efficiently even if the number of asset returns (N) is high vis-a-vis the number of time-series observations (T). We argue that efficiency can be restored by aggregating returns into a single measure that fully captures intertemporal substitution. Indeed, we show that there is no reason why return aggregation cannot be performed in the nonlinear setting of the Pricing Equation, since the latter is a linear function of individual returns. This forms the basis of a new test of rule-of-thumb behavior, which can be viewed as testing for the importance of rule-of-thumb consumers when the optimizing agent holds an equally-weighted portfolio or a weighted portfolio of traded assets. Using our setup, we find no signs of either rule-of-thumb behavior for U.S. consumers or of habit-formation in consumption decisions in econometric tests. Indeed, we show that the simple representative agent model with a CRRA utility is able to explain the time series data on consumption and aggregate returns. There, the intertemporal discount factor is significant and ranges from 0.956 to 0.969 while the relative risk-aversion coefficient is precisely estimated ranging from 0.829 to 1.126. There is no evidence of rejection in over-identifying-restriction tests.

Estrutura de propriedade e teoria da agência: um estudo de empresas brasileiras e seus diferentes tipos de controladores

A estrutura de propriedade anglo-saxônica, e o seu clássico problema de agência, com conflitos entre gestores e acionistas, caracterizados por propriedades pulverizadas, apesar de ser predominante na literatura, não constituí a regra, mas sim a exceção. O Brasil, diferentemente dos Estados Unidos e da Inglaterra, possuí uma estrutura de propriedade concentrada, onde é forte a presença de acionistas majoritários. Nesse caso, o conflito verificado não é entre gestores e acionistas (conflito agente X principal), mas sim entre acionistas majoritários e acionistas minoritários (conflito principal X principal). No mercado de capitais brasileiro, há duas classes de ações, as ordinárias (com direito a voto), e as preferências (sem direito a voto), o que viola a regra existente em muitos países, como nos Estados Unidos, de uma ação, um voto. Sendo assim, em muitos casos, ocorre uma combinação de muito poder com pouca alocação de recursos próprios na empresa. Diante disso, o presente estudo teve como objetivo estimar a magnitude dos direitos de votos, de fluxo de caixa, e do excesso de votos dos acionistas majoritários (das ações ordinárias) das empresas listadas no índice Bovespa – Ibovespa para os anos de 2009 e 2010 (carteira teórica do terceiro quadrimestre dos respectivos anos), separando-as por setor de atuação e por tipo de acionista majoritário. Para este estudo foi analisada uma amostra de 121 empresas, utilizando a metodologia quanto aos fins (descritiva e explicativa), e quanto aos meios (bibliográfica e documental). A coleta de dados foi feita no sistema Economática e nos IAN’s da CVM. Como resultados a pesquisa corroborou as hipóteses da literatura existente de que a estrutura de capital das empresas brasileiras de capital aberto é concentrada, principalmente no capital acionário (média de 51,95% e mediana de 51,20% em 2009, e 47,16% e 51,70% em 2010), e ocorrendo em vários casos uma distância considerável entre o poder de voto e o poder do fluxo de caixa dos acionistas majoritários (média de 1,10 em 2009 e mediana de 1,24, e 1,07 e 0,98 em 2010). Com isso, também se verifica que o conflito principal X principal é o predominante no Brasil.

Repensando a relação entre estado, direito e desenvolvimento: os limites do paradigma rule of law e a relevância das alternativas institucionais

Assumindo a primazia da abordagem institucionalista na agenda contemporânea do desenvolvimento, este artigo procurará discutir alguns de seus limites, descritivos e normativos, no que tange, em especial, ao sistema financeiro. Particularmente, procurar-se-á sugerir que os programas de difusão do rule of law têm se constituído em um paradigma estreito do papel exercido pelo direito, segundo a qual cabe ao ambiente jurídico cumprir, apenas e tão somente, a função de garantidor dos interesses de investidores privados, entendidos como atores centrais de um modelo de financiamento baseado em transações de mercado. O texto sugere que o paradigma rule of law, como estratégia de promoção do desenvolvimento, tem dificuldade em lidar com a existência de alternativas institucionais de organização econômica e financeira, para além de um modelo de mercado baseado em atores atomizados e carentes de segurança jurídica. Um exemplo disso, que escapa do instrumental tradicional, é o modelo brasileiro de financiamento, que, apesar de ter vivenciado inúmeras reformas institucionais, dedicadas a elevar o nível de proteção de investidores, ainda concentra em um banco de desenvolvimento – o BNDES – grande parte do financiamento de longo prazo do país. O artigo assume, portanto, que, sim, o direito e as instituições, de fato, importam para o desenvolvimento, mas há uma variedade de possibilidades e funções a serem exercidas pelos arranjos institucionais e ferramentas jurídicas – muito além do que supõem os programas de rule of law. Uma bem sucedida organização institucional baseada em um banco de desenvolvimento é um exemplo disso.

Compliance to law and effectiveness of the rule of law in Brazil

The goal of this paper is to debate the degree of effectiveness of the rule of law in Brazil, through a survey measuring perceptions, attitudes and habits of Brazilians in regard to compliance to law. The survey conducted in Brazil is based on the study conducted by Tom R. Tyler in the United States, entitled Why People Obey the Law? (New Haven, CT: Yale University Press, 1990). The main argument of Tyler´s study is that people obey the law when they believe it’s legitimate, and not because they fear punishment. We test the same argument in Brazil, relying on five indicators: (i) behavior, which depicts the frequency with which respondents declared to have engaged in conducts in disobedience to the law; (ii) instrumentality, measuring perception of losses associated with the violation of the law, specially fear of punishment; (iii) morality, measuring perception of how much is right or wrong to engage in certain conducts in violation of the law; (iv) social control, which measures perception of social disapproval of certain types of behavior in violation of the law, and (v) legitimacy, which measures the perception of respect to the law and to some authorities. Results indicate that fear of sanctions is not the strongest drive in compliance to law, but more than legitimacy, indicators of morality and social control are the strongest in explaining why people obey the law in Brazil.

Mobility, targeting and private school vouchers

This paper uses general equilibrium simulations to explore the role ofresidential mobility in shaping the impact of different types of private school voucher policies. In particular, general vouchers available to all residents in the state are compared to vouchers specifically targeted to either underprivileged school districts or underprivileged households. The simulations are derived from a three-community mo deI of low, middle and high income school districts (calibrated to New York data), where each school district is composed of multiple types of neighborhoods that may vary in house quality as well as the leveI of neighborhood extemalities. Households that differ in both their income and in the ability leveI of their children choose between school districts, between neighborhoods within their school district, and between the local public school or a menu of private school altematives.Local public school quality within a district is endogenously determined bya combination of the average peer quality of public school attending children as well as local property and state income tax supported spending. Financial support (above a required state minimum) is set by local majority rule. Finally, there exists the potential for a private school market composed of competitive schools that face production technologies similar to those ofpublic schools but who set tuition and admissions policies to maximize profits. In tbis model, it is demonstrated that school district targeted vouchers are similar in their impact to non-targeted vouchers but vastIy different from vouchers targeted to low income households. Furthermore, strong migration effects are shown to significantly improve the likely equity consequences of voucher programs.

The Taylor rule under inquiry: Hidden states

This work empirically evaluates the Taylor rule for the US and Brazil using Markov-Switching Regimes. I find that the inflation parameter of the US Taylor rule is less than one in many periods, contrasting heavily with Clarida, Gal´ı and Gertler (2000), and the same happens with Brazilian data. When the inflation parameter is greater than one, it encompasses periods that these authors considered they should be less than one. Brazil is used for comparative purposes because it experienced a high level inflation until 1994 and then a major stabilization plan reduced the growth in prices to civilized levels. Thus, it is a natural laboratory to test theories designed to work in any environment. The findings point to a theoretical gap that deserves further investigation and show that monetary policy in Brazil has been ineffective, which is coherent with the general attitude of population in relation to this measure.

Taylor rule with hidden states

This work evaluates empirically the Taylor rule for the US and Brazil using Kalman Filter and Markov-Switching Regimes. We show that the parameters of the rule change significantly with variations in both output and output gap proxies, considering hidden variables and states. Such conclusions call naturally for robust optimal monetary rules. We also show that Brazil and US have very contrasting parameters, first because Brazil presents time-varying intercept, second because of the rigidity in the parameters of the Brazilian Taylor rule, regardless the output gap proxy, data frequency or sample data. Finally, we show that the long-run inflation parameter of the US Taylor rule is less than one in many periods, contrasting strongly with Orphanides (forthcoming) and Clarida, Gal´i and Gertler (2000), and the same happens with Brazilian monthly data.

Affine processes, arbitrage-Free Term structures of legendre polynomials,and option pricing

Multivariate Affine term structure models have been increasingly used for pricing derivatives in fixed income markets. In these models, uncertainty of the term structure is driven by a state vector, while the short rate is an affine function of this vector. The model is characterized by a specific form for the stochastic differential equation (SDE) for the evolution of the state vector. This SDE presents restrictions on its drift term which rule out arbitrages in the market. In this paper we solve the following inverse problem: Suppose the term structure of interest rates is modeled by a linear combination of Legendre polynomials with random coefficients. Is there any SDE for these coefficients which rules out arbitrages? This problem is of particular empirical interest because the Legendre model is an example of factor model with clear interpretation for each factor, in which regards movements of the term structure. Moreover, the Affine structure of the Legendre model implies knowledge of its conditional characteristic function. From the econometric perspective, we propose arbitrage-free Legendre models to describe the evolution of the term structure. From the pricing perspective, we follow Duffie et al. (2000) in exploring Legendre conditional characteristic functions to obtain a computational tractable method to price fixed income derivatives. Closing the article, the empirical section presents precise evidence on the reward of implementing arbitrage-free parametric term structure models: The ability of obtaining a good approximation for the state vector by simply using cross sectional data.

On the optimality of the Friedman Rule with heterogeneous agents and non-linear income taxation

We study the optimal “inflation tax” in an environment with heterogeneous agents and non-linear income taxes. We first derive the general conditions needed for the optimality of the Friedman rule in this setup. These general conditions are distinct in nature and more easily interpretable than those obtained in the literature with a representative agent and linear taxation. We then study two standard monetary specifications and derive their implications for the optimality of the Friedman rule. For the shopping-time model the Friedman rule is optimal with essentially no restrictions on preferences or transaction technologies. For the cash-credit model the Friedman rule is optimal if preferences are separable between the consumption goods and leisure, or if leisure shifts consumption towards the credit good. We also study a generalized model which nests both models as special cases.