Um Modelo Unificado para a Previsão da Estrutura a Termo de Taxa de Juros

The focus of the paper is to present a new methodology for forecasting the Term Structure of Interest Rates (ETTJ). The objective is to answer the question: given the ETTJ curve at any given time, what is the ETTJ at a future date? Thus, we seek to construct an analytical expression for the prediction of an entire curve and not only for a given future price of any asset. This objective requires a predominantly analytical and theoretical approach rather than empirical or econometric. The characteristic of this approach is the development of a "hybrid" model, describing the evolution and dynamics of the ETTJ curve over time, combining three elements: a particular version of the HJM model, the Nelson-Siegel-Svensson parameterization, and an independent modeling of the short-term rate, via Hull-White model. As results are obtained analytical expressions for quantities of importance in the fixed income markets. Not being the focus of this work, the empirical evaluation appears only as an illustration, and a more rigorous empirical analysis is left for another article.