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Aplicação do Modelo de Black, Derman & Toy à Precificação de Opções Sobre Títulos de Renda Fixa

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  • Octavio Manuel Bessada Lion
  • Carlos Alberto Nunes Cosenza
  • César das Neves

Abstract

This paper presents an application of the model of Black, Derman & Toy related to the pricing of options of fixed income assets. The model is a non-stationary one, where the mean reversion or volatility reversion or both are functions of time. The model makes it possible to calculate the price of non-arbitrage derivative contracts of the term structure of interest rates. The fundamental hypothesis is that the interest rate follows a lognormal random walk. It uses a binomial tree to simulate the stochastic process in study. This tree is created in a way to be consistent with the initial interest rate curve observed by the market. The results obtained were consistent, however as this kind of option does not exist in Brazil, we could not compare the results of our tests with the market prices of the contracts.

Suggested Citation

  • Octavio Manuel Bessada Lion & Carlos Alberto Nunes Cosenza & César das Neves, 2003. "Aplicação do Modelo de Black, Derman & Toy à Precificação de Opções Sobre Títulos de Renda Fixa," Working Papers Series 74, Central Bank of Brazil, Research Department.
    • Handle: RePEc:bcb:wpaper:74
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    Cited by:

    1. Arminio Fraga & Ilan Goldfajn & André Minella, 2004. "Inflation Targeting in Emerging Market Economies," NBER Chapters, in: NBER Macroeconomics Annual 2003, Volume 18, pages 365-416, National Bureau of Economic Research, Inc.
    2. André Soares Loureiro & Fernando de Holanda Barbosa, 2004. "Risk Premia for Emerging Markets Bonds: Evidence from Brazilian Government Debt, 1996-2002," Working Papers Series 85, Central Bank of Brazil, Research Department.
    3. Minella, Andre & de Freitas, Paulo Springer & Goldfajn, Ilan & Muinhos, Marcelo Kfoury, 2003. "Inflation targeting in Brazil: constructing credibility under exchange rate volatility," Journal of International Money and Finance, Elsevier, vol. 22(7), pages 1015-1040, December.
    4. Leonardo Soriano de Alencar & Márcio I. Nakane, 2004. "Bank Competition, Agency Costs and the Performance of the Monetary Policy," Working Papers Series 81, Central Bank of Brazil, Research Department.
    5. Araújo, Aloísio Pessoa de & Leon, Márcia Saraiva, 2003. "Speculative attacks on debts and optimum currency area: a welfare analysis," FGV EPGE Economics Working Papers (Ensaios Economicos da EPGE) 514, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil).
    6. Marcelo Kfoury Muinhos & Márcio I. Nakane, 2006. "Comparing equilibrium real interest rates: different approaches to measure Brazilian rates," Working Papers Series 101, Central Bank of Brazil, Research Department.

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