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Implied Volatilities of Caps: a Gaussian approach

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  • Flavio Angelini
  • Stefano Herzel

Abstract

Implied volatilities of interest rate derivatives present some distinctive features, like the inverse relation with the underlying rates and the humped or decreasing shape of their term structure. The objective of this paper is to analyze and explain such features in a Gaussian framework. We will use an approximate relation which separates in a simple and natural way the effects on the implied volatility of the level and of the uncertainty of the interest rates. This is a useful tool for understanding the features of different models and to interpret some characteristics of the market.

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Bibliographic Info

Paper provided by Università di Perugia, Dipartimento Economia, Finanza e Statistica in its series Quaderni del Dipartimento di Economia, Finanza e Statistica with number 09/2005.

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Date of creation: 31 May 2005
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Handle: RePEc:pia:wpaper:09/2005

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Related research

Keywords: Implied volatility; forward rates; HJM models; calibration;

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  1. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
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Cited by:
  1. Francesco Venturini, 2011. "Product variety, product quality, and evidence of Schumpeterian endogenous growth: a note," Quaderni del Dipartimento di Economia, Finanza e Statistica 93/2011, Università di Perugia, Dipartimento Economia, Finanza e Statistica.
  2. Mirella Damiani, 2010. "Labour regulation, corporate governance and varieties of capitalism," Quaderni del Dipartimento di Economia, Finanza e Statistica 76/2010, Università di Perugia, Dipartimento Economia, Finanza e Statistica.
  3. Mirella Damiani & Fabrizio Pompei & Andrea Ricci, 2011. "Temporary job protection and productivity growth in EU economies," Quaderni del Dipartimento di Economia, Finanza e Statistica 87/2011, Università di Perugia, Dipartimento Economia, Finanza e Statistica.
  4. Flavio Angelini & Stefano Herzel, 2006. "Notes and Comments: An approximation of caplet implied volatilities in Gaussian models," Decisions in Economics and Finance, Springer, vol. 28(2), pages 113-127, 02.

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