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Calibration Design of Implied Volatility Surfaces

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  • Kai Detlefsen
  • Wolfgang Härdle

Abstract

The calibration of option pricing models leads to the minimization of an error functional. We show that its usual specification as a root mean squared error implies fluctuating exotics prices and possibly wrong prices. We propose a simple and natural method to overcome these problems, illustrate drawbacks of the usual approach and show advantages of our method. To this end, we calibrate the Heston model to a time series of DAX implied volatility surfaces and then price cliquet options.

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File URL: http://sfb649.wiwi.hu-berlin.de/papers/pdf/SFB649DP2006-002.pdf
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Bibliographic Info

Paper provided by Sonderforschungsbereich 649, Humboldt University, Berlin, Germany in its series SFB 649 Discussion Papers with number SFB649DP2006-002.

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Length: 12 pages
Date of creation: Jan 2006
Date of revision:
Handle: RePEc:hum:wpaper:sfb649dp2006-002

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Keywords: calibration; data design; implied volatility surface; Heston model; cliquet option;

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  1. Heston, Steven L, 1993. "A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options," Review of Financial Studies, Society for Financial Studies, vol. 6(2), pages 327-43.
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