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Extended Market Models With Affine And Quadratic Volatility  (Make Corrections)  
Christian Zühlsdorff



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Abstract: . The market model specifies simple forward rates as lognormaly distributed, i.e., their stochastic dynamics has a linear volatility function. This model is extended to quadratic volatility functions and we derive closed-form solutions to interest rate derivatives in this setup. We discuss the problem of the absorbing/reflecting boundary in zero and give examples for the difference in implied volatilities. We fit the model to market prices and provide criteria for model choice. JEL... (Update)

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BibTeX entry:   (Update)

@misc{ hlsdorff-extended,
  author = "Christian Zühlsdorff",
  title = "Extended Market Models With Affine And Quadratic Volatility",
  url = "citeseer.ist.psu.edu/407197.html" }
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19   Closed Form Solutions for Term Structure Derivatives with Lo.. - Miltersen, Sandmann et al. - 1997
16   LIBOR and swap market models and measures (context) - Jamshidian - 1997
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9   Implied volatility functions in arbitrage-free term structur.. (context) - Amin, Morton - 1994
3   Arbitrage Theory in Continuous Time (context) - Bjrk - 1998
2   An Empirical Comparison of Forward and Spot Rate Models for .. (context) - Bhler, Uhrig-Homburg et al. - 1999
1   The Pricing of Derivatives on Assets with Quadratic Volatili.. (context) - Zhlsdorff - 1998
1   the Term Structure of Interest Rates in the Presence of Refl.. - Goldstein, Keirstead - 1997

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