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Macro Factors and the Brazilian Yield Curve with no Arbitrage Models

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  • Marcos S. Matsumura
  • Ajax R. B. Moreira

Abstract

We use no arbitrage models with macro variables to study the interaction between the macroeconomy and the yield curve. This interaction is a key element for monetary policy and for forecasting. The model was used to analyze the Brazilian domestic financial market using a daily dataset and two versions of the model, one in continuous-time and estimated by maximum likelihood, and the other in discretetime and estimated by Monte Carlo Markov Chain (MCMC). Our objective is threefold: 1) To analyze the determinants of the Brazilian domestic term structure considering nominal shocks; 2) To compare the results of the discrete and the continuous time versions considering adherence, forecasting performance and monetary policy analysis; and 3) To evaluate the effect of restrictions on the transition and pricing equations over the model properties. Our main results are: 1) results from continuous and discrete versions are qualitatively and in most cases quantitatively equivalent; 2) Monetary Authorities are conservative in Brazil, smoothing short rate fluctuations; 3) inflation shock, or slope shock, depending on the model selected, are the main sources of long run fluctuations of nominal variables; and finally, 4) no arbitrage models showed lower forecasting performance than an unrestricted factor model. Este texto utiliza um modelo de não arbitragem para estudar a interação entre variáveis macro e a estrutura a termo das taxas de juros (ETTJ), interação que é um elemento crítico para política monetária e para a previsão. O modelo foi utilizado para analisar a ETTJ de títulos emitidos no mercado doméstico do Brasil e a sua relação com a taxa de câmbio e uma medida de inflação esperada, utilizando dados diários no período 2000-2005. Os modelos foram estimados em duas versões. Uma contínua estimada por máxima verossimilhança e outra discreta estimada por Monte Carlo Markov Chain (MCMC). Concluímos que: 1) os resultados das duas versões foram qualitativamente, e, em muitos casos, quantitativamente iguais, o que sugere a robustez dos resultados; 2) avaliamos a importância relativa das fontes de determinação das ETTJ, em particular dos choques cambiais, de inflação, e de movimentos autônomos da taxa de juros.

Suggested Citation

  • Marcos S. Matsumura & Ajax R. B. Moreira, 2015. "Macro Factors and the Brazilian Yield Curve with no Arbitrage Models," Discussion Papers 0171, Instituto de Pesquisa Econômica Aplicada - IPEA.
  • Handle: RePEc:ipe:ipetds:0171
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    References listed on IDEAS

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    1. Andrew Ang & Sen Dong & Monika Piazzesi, 2005. "No-arbitrage Taylor rules," Proceedings, Federal Reserve Bank of San Francisco.
    2. Darrell Duffie & Rui Kan, 1996. "A Yield‐Factor Model Of Interest Rates," Mathematical Finance, Wiley Blackwell, vol. 6(4), pages 379-406, October.
    3. Ang, Andrew & Piazzesi, Monika, 2003. "A no-arbitrage vector autoregression of term structure dynamics with macroeconomic and latent variables," Journal of Monetary Economics, Elsevier, vol. 50(4), pages 745-787, May.
    4. Duffie, Darrell & Singleton, Kenneth J, 1999. "Modeling Term Structures of Defaultable Bonds," Review of Financial Studies, Society for Financial Studies, vol. 12(4), pages 687-720.
    5. Harrison, J. Michael & Kreps, David M., 1979. "Martingales and arbitrage in multiperiod securities markets," Journal of Economic Theory, Elsevier, vol. 20(3), pages 381-408, June.
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