by K. Detlefsen and W. K. Hardle

Journal of Data Science, v.6, no.3, 303-312

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 prices of exotic options that can change abruptly when plain vanilla options expire. 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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