In this thesis, a new methodology using convex risk measures is developed to incorporate parameter risk into prices of financial derivatives, provided that a distribution on the parameter space is given. A technique to induce a parameter distribution in case of calibration to market prices is presented, allowing to conduct a comparison of parameter risk in different financial market models and of different exotic options. For the calibration to quoted bid-ask prices, a non-parametric calibration approach to broad classes of distortion risk measures is developed and a calibration to quoted bid-ask prices is assessed.
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In this thesis, a new methodology using convex risk measures is developed to incorporate parameter risk into prices of financial derivatives, provided that a distribution on the parameter space is given. A technique to induce a parameter distribution in case of calibration to market prices is presented, allowing to conduct a comparison of parameter risk in different financial market models and of different exotic options. For the calibration to quoted bid-ask prices, a non-parametric calibration...
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