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.

Robust monetary policy with the consumption - wealth channel

Robust Monetary Policy with the Consumption - Wealth Channel

Beyond common priors

One property (called action-consistency) that is implicit in the common prior assumption (CPA) is identified and shown to be the driving force of the use of the CPA in a class of well-known results. In particular, we show that Aumann (1987)’s Bayesian characterization of correlated equilibrium, Aumann and Brandenburger (1995)’s epistemic conditions for Nash equilibrium, and Milgrom and Stokey (1982)’s no-trade theorem are all valid without the CPA but with action-consistency. Moreover, since we show that action-consistency is much less restrictive than the CPA, the above results are more general than previously thought, and insulated from controversies around the CPA.

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.

Two heads may not be better than one : corporate board structure, managerial self-dealing,and common agency

This paper compares the effects on corporate performance and managerial self-dealing in a situation in which the CEO reports to a single Board that is responsible for both monitoring management and establishing performance targets to an alternative in which the CEO reports to two Boards, each responsible for a different task. The equilibrium set of the common agency game induced by the dual board structure is fully characterized. Compared to a single board, a dual board demands less aggressive performance targets from the CEO, but exerts more monitoring. A consequence of the first feature is that the CEO always exerts less effort toward production with a dual board. The effect of a dual board on CEO self-dealing is ambiguous: there are equilibria in which, in spite of the higher monitoring, self-dealing is higher in a dual system. The model indicates that the strategic interdependence generated by the assignment of different tasks to different boards may yield results that are far from the desired ones.

The optimality of the Friedman rule when some distorting taxes are exogenous

This paper investigates the optimality of the Friedman rule in a two-sector small open economy. That policy prescription is found to be a necessary condition for Pareto efficiency. If a planner can select all conceivable distorting taxes, then, for some initial values of public debt, money balances and foreign assets, it is possible to decentralize a Pareto efficient allocation. If the planner can select only some of these tax rates, then second-best policies may also satisfy the Friedman rule. However, this last result depends on the set of tax instruments the planner can choose from.

Credible managerial vision

We develop a model in which managers choose whether or not to reveal their “vision” for the future of their companies. Visionary managers are valuable because they generate incentives for workers to develop profitable innovations for the firm. However, managerial vision is not necessarily credible. After workers have invested in developing ideas, there is no a priori reason for a manager to keep her earlier promises when new contingencies arise and make it profitable to change the firm’s strategic direction. We show that credible managerial vision will arise in equilibrium when managers have career concerns. In order to credibly implement their visions, managers issue public “mission statements” to motivate workers. Mission statements are not legally binding contracts and their value comes solely from their effects on managerial opportunities outside the firm. Among the new implications of the model, we show that managerial vision is more likely to be credible in industries in which managerial turnover is high and in which the managerial skill premium is high. Differently from the related literature that take managerial biases as exogenous, we show not only that biases increase workers’ incentives, but also that the need to provide incentives to workers increases managers’ incentives to become credible visionaries.

Information asymmetry and competition in credit markets: the pricing of overdraft loans in Brazil

This paper evaluates how information asymmetry affects the strength of competition in credit markets. A theory is presented in which adverse selection softens competition by decreasing the incentives creditors have for competing in the interest rate dimension. In equilibirum, although creditors compete, the outcome is similar to collusion. Three empirical implications arise. First, interest rate should respond asymmetrically to changes in the cost of funds: increases in cost of funds should, on average, have a larger effect on interest rates than decreases. Second, aggressiveness in pricing should be associated with a worseing in the bank level default rates. Third, bank level default rates should be endogenous. We then verify the validity of these three empirical implications using Brazilian data on consumer overdraft loans. The results in this paper rationalize seemingly abnormallly high interest rates in unsecured loans.

Collateral or utility penalties ?

In a two-period economy with incomplete markets and possibility of default we consider the two classical ways to enforce the honor of financial commitments: by using utility penalties and by using collateral requirements that borrowers have to fulfill. Firstly, we prove that any equilibrium in an economy with collateral requirements is also equilibrium in a non-collateralized economy where each agent is penalized (rewarded) in his utility if his delivery rate is lower (greater) than the payment rate of the financial market. Secondly, we prove the converse: any equilibrium in an economy with utility penalties is also equilibrium in a collateralized economy. For this to be true the payoff function and initial endowments of the agents must be modified in a quite natural way. Finally, we prove that the equilibrium in the economy with collateral requirements attains the same welfare as in the new economy with utility penalties.

Testing covariance stationarity

In this paper, we show that the widely used stationarity tests such as the KPSS test has power close to size in the presence of time-varying unconditional variance. We propose a new test as a complement of the existing tests. Monte Carlo experiments show that the proposed test possesses the following characteristics: (i) In the presence of unit root or a structural change in the mean, the proposed test is as powerful as the KPSS and other tests; (ii) In the presence a changing variance, the traditional tests perform badly whereas the proposed test has high power comparing to the existing tests; (iii) The proposed test has the same size as traditional stationarity tests under the null hypothesis of covariance stationarity. An application to daily observations of return on US Dollar/Euro exchange rate reveals the existence of instability in the unconditional variance when the entire sample is considered, but stability is found in sub-samples.

Decision rules and information provision : monitoring vs manipulation

We analyze the contractual design problem of a principal who delegates decision-making and information provision. The principal faces two tasks: he has to decide the level of discretion to be granted to the decision-maker and to establish who is in charge of supplying the information. We show that these two choices are intrinsically related. When the decision-maker is granted high discretion, information provision is optimally delegated to the parties directly affected by the decision. Conversely, when the decision-maker enjoys little discretion, it is more desirable to rely on a third impartial agent. The paper helps rationalize some organizational arrangements that are commonly observed in the context of judicial and antitrust decision-making.

Signaling in political budget cycles: How far are you willing to go?

This paper analyzes how heterogeneity in two dimensions, competency and character, a¤ects political budget cycles. Competency is the e¢ciency in running the government. Character is the degree of opportunism. In this expanded space, previous results in the literature on the separating nature of the signaling equilibrium hold if heterogeneity in opportunism is low. With high heterogeneity in opportunism, no separating equilibrium exists. Rather, the equilibrium is partially pooling: only extreme types can be distinguished.

Is child labor harmful? the impact of working as a child on adult earnings

This paper explores the question: is working as young laborer harmful to an individual in terms of adult outcomes in income? This question is explored through the utilization of a unique set of instruments that control for the decision to work as a child and the decision of how much schooling to acquire. These instruments are combined with two large household survey data sets from Brazil that include retrospective information on the child labor and schooling of working-age adults: the 1988 and 1996 PNAD. Estimations of the reduced form earnings model are performed first by using OLS without controlling for the potential endogeneity of child labor and schooling, and then by using a GMM estimation of instrumental variables models that include the set of instruments for child labor and schooling. The findings of the empirical investigations show that child labor has large negative impact on adult earnings for both male and female children even when controlling for schooling. In addition, the negative impact of starting to work as a child reverses at around age 14. Finally, different child labor activities are examined to determine if some are beneficial while others harmful with the finding that working in agriculture as a child appears to have no negative impact over and above the loss of education.