Residual-based Inference for Common Nonlinear Features

This paper investigates common nonlinear features in multivariate nonlinear autore-gressive models via testing the estimated residuals. A Wald-type test is proposed and itis asymptotically Chi-squared distributed. Simulation studies are given to examine thefinite-sample properties of the proposed test.

Common Features in Vector Nonlinear Time Series Models

This thesis consists of four manuscripts in the area of nonlinear time series econometrics on topics of testing, modeling and forecasting nonlinear common features. The aim of this thesis is to develop new econometric contributions for hypothesis testing and forecasting in these area. Both stationary and nonstationary time series are concerned. A definition of common features is proposed in an appropriate way to each class. Based on the definition, a vector nonlinear time series model with common features is set up for testing for common features. The proposed models are available for forecasting as well after being well specified. The first paper addresses a testing procedure on nonstationary time series. A class of nonlinear cointegration, smooth-transition (ST) cointegration, is examined. The ST cointegration nests the previously developed linear and threshold cointegration. An Ftypetest for examining the ST cointegration is derived when stationary transition variables are imposed rather than nonstationary variables. Later ones drive the test standard, while the former ones make the test nonstandard. This has important implications for empirical work. It is crucial to distinguish between the cases with stationary and nonstationary transition variables so that the correct test can be used. The second and the fourth papers develop testing approaches for stationary time series. In particular, the vector ST autoregressive (VSTAR) model is extended to allow for common nonlinear features (CNFs). These two papers propose a modeling procedure and derive tests for the presence of CNFs. Including model specification using the testing contributions above, the third paper considers forecasting with vector nonlinear time series models and extends the procedures available for univariate nonlinear models. The VSTAR model with CNFs and the ST cointegration model in the previous papers are exemplified in detail,and thereafter illustrated within two corresponding macroeconomic data sets.

The inequality curse: constraints and political discretion

We live in an unjust world characterized by economic inequality. No liberal theory of justice is able to justify it. Inequality is not “solved” with equality of opportunity or meritocracy. Nor by the socialist and republican critique. The poor will have to count with them and with democracy to make social progress reality. In their political struggle, they will face one economic constraint: the expected profit rate must remain attractive to business investors. Yet, giving that technological progress in increasingly capital-saving, this economic constraint does not obstruct that wages grow above the productivity rate and inequality is reduced. What really is an obstacle to social justice in the rich countries is, on one hand, the power that capitalist rentiers retain and financists acquired, and, on the other, the competition originated in low wage countries.

Three principles of competitive nonlinear pricing

We make three contributions to the theory of contracting under asymmetric information. First, we establish a competitive analog to the revelation principIe which we call the implementation principIe. This principIe provides a complete characterization of all incentive compatible, indirect contracting mechanisms in terms of contract catalogs (or menus), and allows us to conclude that in competi tive contracting situations, firms in choosing their contracting strategies can restrict attention, without loss of generality, to contract catalogs. Second, we establish a competi tive taxation principIe. This principIe, a refinement of the implementation principIe, provides a complete characterization of all implementable nonlinear pricing schedules in terms of product-price catalogs and allows us to reduce any game played over nonlinear pricing schedules to a strategically equivalent game played over product-price catalogs. Third, using the competitive taxation principIe and a recent result due to Reny (1999) on the existence of Nash equilibria in discontinuous games, we demonstrate the existence of a N ash equilibrium for the mixed extension of the nonlinear pricing game.

Endogenous debt constraints in collateralized economies with default penalties

In infinite horizon financial markets economies, competitive equilibria fail to exist if one does not impose restrictions on agents' trades that rule out Ponzi schemes. When there is limited commitment and collateral repossession is the unique default punishment, Araujo, Páscoa and Torres-Martínez (2002) proved that Ponzi schemes are ruled out without imposing any exogenous/endogenous debt constraints on agents' trades. Recently Páscoa and Seghir (2009) have shown that this positive result is not robust to the presence of additional default punishments. They provide several examples showing that, in the absence of debt constraints, harsh default penalties may induce agents to run Ponzi schemes that jeopardize equilibrium existence. The objective of this paper is to close a theoretical gap in the literature by identifying endogenous borrowing constraints that rule out Ponzi schemes and ensure existence of equilibria in a model with limited commitment and (possible) default. We appropriately modify the definition of finitely effective debt constraints, introduced by Levine and Zame (1996) (see also Levine and Zame (2002)), to encompass models with limited commitment, default penalties and collateral. Along this line, we introduce in the setting of Araujo, Páscoa and Torres-Martínez (2002), Kubler and Schmedders (2003) and Páscoa and Seghir (2009) the concept of actions with finite equivalent payoffs. We show that, independently of the level of default penalties, restricting plans to have finite equivalent payoffs rules out Ponzi schemes and guarantees the existence of an equilibrium that is compatible with the minimal ability to borrow and lend that we expect in our model. An interesting feature of our debt constraints is that they give rise to budget sets that coincide with the standard budget sets of economies having a collateral structure but no penalties (as defined in Araujo, Páscoa and Torres-Martínez (2002)). This illustrates the hidden relation between finitely effective debt constraints and collateral requirements.

Credit borrowing constraints in a DSGE framework: income vs. housing

Credit market in Brazil distinguishes from advanced economies in many aspects. One of them is related to collaterals for households borrowing. This work proposes a DSGE framework, based on Gerali et al.(2010), to analyse one pecularity of Brazillian credit market: payroll-deducted personal loans. To original model, we added the possibility to households contract long term debt and compare to differents types of credit constrains: one based on housing and other based on future income. We callibrate and estimate the model to Brazil, using Bayesian technique. Results show that, in a economy where credit constraints are based on income, responses to shocks appear to be stronger, at first, but dissipate faster. This occurs because income responds quickly to shock than housing prices, so does amount available to loans. In order to smooth consumption, agents compensate lower income and borrowing by increasing working hours, restoring loans and debt in a shorter time.

Financial constraints and house prices: an international perspective

In this paper, we show substantial empirical evidence that house prices are more sensitive to shocks to percapita income, in countries where housing finance is more developed. This result is consistent with the theoretical framework developed in the paper, where we study the impact ofprogressive relaxation of financiai constraints on housing demand and equilibrium house prices. Our results are consistent with recent literature on financiai constraints and business investment, which argues that the investment of less constrained firms can be more sensitive to changes in cash flow. More broadly, our results challenge the traditional view that financiai development leads to smaller fluctuations in key economic variables. The policy implications are c1ear and important. Even iffinancial development is desirable for other reasons, the potential associated increase in volatility should be an explicit policy concern.

Construction of facilities under asymmetric information: do constitutional constraints matter?

This paper studies construction of facilities in a federal state under asymmetric information. A country consists of two regions, each ruled by a local authority. The federal government plans to construct a facility in one of the regions. The facility generates a local value in the host region and has spillover effects in the other region. The federal government does not observe the local value because it is the local authority's private information. 80 the federal governrnent designs an incentive-compatible mechanism, specifying if the facility should be constructed and a balanced scheme of interregional transfers to finance its cost. The federal governrnent is constitutionally constrained to respect a given leveI of each region's welfare. We show that depending upon the facility's local value and the spillover effect, the governrnent faces different incentive problems. Moreover, their existence depends crucially on how stringent constitutional constraints are. Therefore, the optimal mechanism will also depend upon these three features of the model.