The expectation hypothesis of interest rates and network theory: The case of Brazil

This paper investigates the topological properties of the Brazilian term structure of interest rates network. We build the minimum spanning tree (MST), which is based on the concept of ultrametricity, using the correlation matrix for interest rates of different maturities. We show that the short-term interest rate is the most important within the interest rates network, which is in line with the Expectation Hypothesis of interest rates. Furthermore, we find that the Brazilian interest rates network forms clusters by maturity.

[1]  C. Christiansen Testing the Expectations Hypothesis Using Long-Maturity Forward Rates , 2003 .

[2]  K. Kaski,et al.  Dynamics of market correlations: taxonomy and portfolio analysis. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[3]  Woo-Sung Jung,et al.  Group dynamics of the Japanese market , 2007, 0708.0562.

[4]  Tomaso Aste,et al.  Interest rates hierarchical structure , 2005 .

[5]  Are German money market rates well behaved , 2000 .

[6]  Ken B. Cyree,et al.  Further analysis of the expectations hypothesis using very short-term rates , 2008 .

[7]  René van den Brink,et al.  Measuring domination in directed networks , 2000, Soc. Networks.

[8]  L. da F. Costa,et al.  Characterization of complex networks: A survey of measurements , 2005, cond-mat/0505185.

[9]  Rosario N. Mantegna,et al.  Book Review: An Introduction to Econophysics, Correlations, and Complexity in Finance, N. Rosario, H. Mantegna, and H. E. Stanley, Cambridge University Press, Cambridge, 2000. , 2000 .

[10]  F. Lillo,et al.  Topology of correlation-based minimal spanning trees in real and model markets. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  An interest rates cluster analysis , 2004, cond-mat/0401443.

[12]  F. Longstaff The term structure of very short-term rates: New evidence for the expectations hypothesis ☆ , 2000 .

[13]  C. Leung,et al.  Weighted assortative and disassortative networks model , 2006, physics/0607134.

[14]  R. Mantegna Hierarchical structure in financial markets , 1998, cond-mat/9802256.

[15]  R. Coelho,et al.  Sector analysis for a FTSE portfolio of stocks , 2007 .

[16]  A note on nonlinear dynamics in the Spanish term structure of interest rates , 2006 .

[17]  Woo-Sung Jung,et al.  Characteristics of the Korean stock market correlations , 2006 .

[18]  The Expectations Hypothesis of the Term Structure: Tests on US, German, French, and UK Euro-Rates , 1999 .

[19]  S. Horvath,et al.  Statistical Applications in Genetics and Molecular Biology , 2011 .

[20]  K. Kaski,et al.  Dynamic asset trees and Black Monday , 2002, cond-mat/0212037.

[21]  K. Kaski,et al.  Intensity and coherence of motifs in weighted complex networks. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[22]  Carlo A. Favero,et al.  Financial Factors, Macroeconomic Information and the Expectations Theory of the Term Structure of Interest Rates , 2004 .

[23]  B. Tabak Testing the expectations hypothesis in the Brazilian term structure of interest rates: a cointegration analysis , 2009 .

[24]  Eric Jondeau,et al.  The Expectations Hypothesis of the Term Structure: Tests on US, German, French, and UK Euro-Rates , 1996 .

[25]  Interpreting the Term Structure of Interbank Rates in Hong Kong , 2001 .

[26]  Mikko Kivelä,et al.  Generalizations of the clustering coefficient to weighted complex networks. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[27]  Mantegna,et al.  Taxonomy of stock market indices , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[28]  HOW DOES THE EURODOLLAR INTEREST RATE BEHAVE , 2001, cond-mat/0101009.

[29]  Byeongseon Seo Nonlinear mean reversion in the term structure of interest rates , 2003 .

[30]  Peter Richmond,et al.  The Evolution of Interdependence in World Equity Markets: Evidence from Minimum Spanning Trees , 2006, physics/0607022.

[31]  Mariam Camarero,et al.  Instability tests in cointegration relationships. An application to the term structure of interest rates , 2002 .

[32]  Alessandro Vespignani,et al.  Characterization and modeling of weighted networks , 2005 .