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.

Rent dissipation, political viability and the strategic adoption of free trade agreements

This paper studies the political viability of free trade agreements (FTAs). The key element of the analysis is the “rent dissipation” that these arrangements induce: by eliminating intra-bloc trade barriers, an FTA reduces the incentives of the local firms to lobby for higher external tariffs, thereby causing a reduction of the rents created in the lobbying process. The prospect of rent dissipation moderates the governments’ willingness to participate in FTAs; they will support only arrangements that are “substantially” welfare improving, and no FTA that reduces welfare. Rent dissipation also implies that the prospects of political turnover may create strategic reasons for the formation of FTAs. Specifically, a government facing a high enough probability of losing power may want to form a trade bloc simply to “tie the hands” of its successor. An FTA can affect the likelihood of political turnover as well. If the incumbent party has a known bias toward special interests, it may want to commit to less distortionary policies in order to reduce its electoral disadvantage; the rent dissipation effect ensures that an FTA can serve as the vehicle for such a commitment. In nascent/unstable democracies, the incumbent government can use a free trade agreement also to reduce the likelihood of a dictatorial takeover and to “consolidate” democracy – a finding that is consistent with the timing of numerous accessions to and formations of preferential arrangements.