Competitive equilibrium hyperinflation under rational expectations

This paper shows that a competitive equilibrium model, where a representative agent maximizes welfare, expectations are rational and markets are in equilibrium can account for several hyperinflation stylized facts. The theory is built by combining two hypotheses, namely, a fiscal crisis that requires printing money to finance an increasing public deficit and a predicted change in an unsustainable fiscal regime.

Rational expectations and the service of public debt: a recursive approach

This paper uses dynamic programming to study the time consistency of optimal macroeconomic policy in economies with recurring public deficits. To this end, a general equilibrium recursive model introduced in Chang (1998) is extended to include govemment bonds and production. The original mode! presents a Sidrauski economy with money and transfers only, implying that the need for govemment fmancing through the inflation tax is minimal. The extended model introduces govemment expenditures and a deficit-financing scheme, analyzing the SargentWallace (1981) problem: recurring deficits may lead the govemment to default on part of its public debt through inflation. The methodology allows for the computation of the set of alI sustainable stabilization plans even when the govemment cannot pre-commit to an optimal inflation path. This is done through value function iterations, which can be done on a computeI. The parameters of the extended model are calibrated with Brazilian data, using as case study three Brazilian stabilization attempts: the Cruzado (1986), Collor (1990) and the Real (1994) plans. The calibration of the parameters of the extended model is straightforward, but its numerical solution proves unfeasible due to a dimensionality problem in the algorithm arising from limitations of available computer technology. However, a numerical solution using the original algorithm and some calibrated parameters is obtained. Results indicate that in the absence of govemment bonds or production only the Real Plan is sustainable in the long run. The numerical solution of the extended algorithm is left for future research.

Exogenous expectations on endogenous uncertainty: recursive equilibrium and survival

This paper analyses general equilibrium models with finite heterogeneous agents having exogenous expectations on endogenous uncertainty. It is shown that there exists a recursive equilibrium with the state space consisting of the past aggregate portfolio distribution and the current state of the nature and that it implements the sequential equilibrium. We establish conditions under which the recursive equilibrium is continuous. Moreover, we use the continuous recursive relation of the aggregate variables to prove that if the economy has two types of agents, the one who commits persistent mistakes on the expectation rules of the future endogenous variables is driven out of the market by the others with correct anticipations of the variables, that is, the rational expectations agents.

Fundamentos para uma teoria de expectativa econômica

O Principal Objetivo deste Trabalho é Identificar Bases Plausíveis para uma Teoria de Formação de Expectativa Econômica. Argumentamos que a Incorporação de Expectativa em Qualquer Tratamento Analítico, Deve Envolver, Principalmente, Fundamentos Epistêmicos. Duas Perspectivas de Análise Foram Consideradas: a Abordagem Contextualista de Bhargava(1992) e a Tese da Modernidade Reflexiva, Desenvolvida por Anthony Giddens. Concluímos que a Expectativa Econômica Resulta do Processo de Apropriação de Conhecimento Especializado, que É, em Grande Extensão, Mediado Através da Mídia.

Meta inflação: uma nova abordagem para a política monetária

Este estudo introduz uma nova abordagem estratégica para a política monetária: o regime de meta de inflação. O trabalho começa com uma revisão da literatura sobre política monetária desde a Curva de Phillips, a seguir os regimes clássicos de política monetária são analisados e se introduz a estrutura conceitual do regime de meta de inflação. As experiências práticas de quatro países (Alemanha, Nova Zelândia, Canadá e Inglaterra) são detalhadamente examinadas. A análise de séries temporais é empregada para comparar o padrão de autoregressividade da inflação sob o novo regime com o período precedente. O estudo aponta o regime de meta de inflação como uma estratégia mais eficiente no longo prazo porque responde melhor aos desafios da teoria e da prática.

Diferencial de juros e taxa de câmbio: um estudo empírico sobre o Brasil pós-plano real

Esta dissertação procura examinar a relação entre taxas de juros e os movimentos da taxa de câmbio, a partir da paridade descoberta de juros (PDJ). Foi utilizado o procedimento pressupondo expectativas racionais e foi testada a validade da PDJ com dados da economia brasileira desde o Plano Real (julho de 1994) até agosto de 2006. Encontramos evidências que levam à rejeição da PDJ no longo prazo. Além disso, foi examinada a validade da PDJ sem a necessidade de utilizar a hipótese de expectativas racionais, foram utilizadas as previsões de câmbio dos analistas financeiros, publicadas no Boletim Focus de novembro de 2001 a novembro de 2006. Também encontramos evidências que levam à rejeição da PDJ no Brasil.

Regras monetárias e dinâmica macroeconômica no Brasil: uma abordagem de expectativas racionais

Neste artigo estimamos e simulamos um modelo macroeconômico aberto de expectativas racionais (Batini e Haldane [4]) para a economia brasileira, com o objetivo de identificar as características das regras monetárias ótimas e a dinâmica de curto prazo gerada por elas. Trabalhamos com uma versão forward-Iooking e uma versão backward-Iooking a fim de comparar o desempenho de três parametrizações de regras monetárias, que diferem em relação à variável de inflação: a tradicional regra de Taylor, que se baseia na inflação passada; uma regra que combina inflação e taxa de câmbio real (ver Ball [5]) e uma regra que utiliza previsões de inflação (ver Bank af England [3]). Resolvemos o modelo numericamente e contruímos fronteiras eficientes em relação às variâncias do produto e da infiação por simulações estocásticas, para choques i.i.d. ou correlacionados. Os conjuntos de regras ótimas para as duas versões são qualitativamente distintos. Devido à incerteza quanto ao grau de forward-Iookingness sugerimos a escolha das regras pela soma das funções objetivos nas duas versões. Concluímos que as regras escolhidas com base neste critério têm perdas moderadas em relação às regras ótimas, mas previnem perdas maiores que resultariam da escolha da regra com base na versão errada. Finalmente calculamos funções de resposta a impulso dos dois modelos para algumas regras selecionadas, a fim de avaliar como diferentes regras monetárias alteram a dinâmica de curto prazo dos dois modelos.

Stochastic growth and monetary policy: the impacts on the term structure of interest rates

This paper builds a simple, empirically-verifiable rational expectations model for term structure of nominal interest rates analysis. It solves an stochastic growth model with investment costs and sticky inflation, susceptible to the intervention of the monetary authority following a policy rule. The model predicts several patterns of the term structure which are in accordance to observed empirical facts: (i) pro-cyclical pattern of the level of nominal interest rates; (ii) countercyclical pattern of the term spread; (iii) pro-cyclical pattern of the curvature of the yield curve; (iv) lower predictability of the slope of the middle of the term structure; and (v) negative correlation of changes in real rates and expected inflation at short horizons.

A note on learning chaotic sunspot equilibrium

In this paper we prove convergence to chaotic sunspot equilibrium through two learning rules used in the bounded rationality literature. The rst one shows the convergence of the actual dynamics generated by simple adaptive learning rules to a probability distribution that is close to the stationary measure of the sunspot equilibrium; since this stationary measure is absolutely continuous it results in a robust convergence to the stochastic equilibrium. The second one is based on the E-stability criterion for testing stability of rational expectations equilibrium, we show that the conditional probability distribution de ned by the sunspot equilibrium is expectational stable under a reasonable updating rule of this parameter. We also report some numerical simulations of the processes proposed.

A Common-feature approach for testing present-value restrictions with financial data

It is well known that cointegration between the level of two variables (labeled Yt and yt in this paper) is a necessary condition to assess the empirical validity of a present-value model (PV and PVM, respectively, hereafter) linking them. The work on cointegration has been so prevalent that it is often overlooked that another necessary condition for the PVM to hold is that the forecast error entailed by the model is orthogonal to the past. The basis of this result is the use of rational expectations in forecasting future values of variables in the PVM. If this condition fails, the present-value equation will not be valid, since it will contain an additional term capturing the (non-zero) conditional expected value of future error terms. Our article has a few novel contributions, but two stand out. First, in testing for PVMs, we advise to split the restrictions implied by PV relationships into orthogonality conditions (or reduced rank restrictions) before additional tests on the value of parameters. We show that PV relationships entail a weak-form common feature relationship as in Hecq, Palm, and Urbain (2006) and in Athanasopoulos, Guillén, Issler and Vahid (2011) and also a polynomial serial-correlation common feature relationship as in Cubadda and Hecq (2001), which represent restrictions on dynamic models which allow several tests for the existence of PV relationships to be used. Because these relationships occur mostly with nancial data, we propose tests based on generalized method of moment (GMM) estimates, where it is straightforward to propose robust tests in the presence of heteroskedasticity. We also propose a robust Wald test developed to investigate the presence of reduced rank models. Their performance is evaluated in a Monte-Carlo exercise. Second, in the context of asset pricing, we propose applying a permanent-transitory (PT) decomposition based on Beveridge and Nelson (1981), which focus on extracting the long-run component of asset prices, a key concept in modern nancial theory as discussed in Alvarez and Jermann (2005), Hansen and Scheinkman (2009), and Nieuwerburgh, Lustig, Verdelhan (2010). Here again we can exploit the results developed in the common cycle literature to easily extract permament and transitory components under both long and also short-run restrictions. The techniques discussed herein are applied to long span annual data on long- and short-term interest rates and on price and dividend for the U.S. economy. In both applications we do not reject the existence of a common cyclical feature vector linking these two series. Extracting the long-run component shows the usefulness of our approach and highlights the presence of asset-pricing bubbles.

Insider trading, investment, and liquidity: a welfare analysis

We compare competitive equilibrium outcomes with and without trading by a privately infonned "monopolistic" insider, in a model with real investment portfolio choices ex ante, and noise trading generated by aggregate uncertainty regarding other agents' intertemporal consumption preferences. The welfare implications of insider trading for the ex ante expected utilities of outsiders are analyzed. The role of interim infonnation revelation due to insider trading, in improving the risk-sharing among outsiders with stochastic liquidity needs, is examined in detaiL