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Gawarecki, L. and Mandrekar, V. (1993) Ito-Ramer, Skorohod and Ogawa integrals with Respect to Gaussian Processes and Their Interrelationship. In: Perez-Abreu, V. and Houdre, C., Eds., Chaos Expansions, Multiple Wiener-Ito Integrals, and Their Applications, CRC Press, London, 349-373.

has been cited by the following article:

• TITLE: Implementation of Stochastic Yield Curve Duration and Portfolio Immunization Strategies

  AUTHORS: Sindre Duedahl

  KEYWORDS: ALM, Risk Management, Interest rate Derivatives, Stochastic Duration, Immunization, SPDE, Musiela Equation

  JOURNAL NAME: Journal of Mathematical Finance, Vol.6 No.3, August 24, 2016

  ABSTRACT: In this paper, we propose an implementation method for a new concept of stochastic duration which can be used to measure the sensitivity of complex bond portfolios with respect to the fluctuations of the yield surface. Our approach relies on a first order approximation of a chaos expansion in the direction of the yield surface, whose dynamics is described by the Musiela equation. Using the latter technique, we obtain an infinite-dimensional generalization of the classical Macaulay duration, which can be interpreted as the derivative of a first order approximation of a Taylor series on locally convex spaces.