Variable annuities are insurance products that contain guarantees and using the Monte Carlo method to calculate the fair market values of these guarantees for a large portfolio of such products is extremely time consuming. In this paper, we propose the class of GB2 distributions to model the...

The increase in trading frequency of Exchanged Traded Funds (ETFs) presents a positive externality for financial risk management when the price of the ETF is available at a higher frequency than the price of the component stocks. The positive spillover consists in improving the accuracy of...

The Minimum Covariance Determinant (MCD) approach estimates the location and scatter matrix using the subset of given size with lowest sample covariance determinant. Its main drawback is that it cannot be applied when the dimension exceeds the subset size. We propose the Minimum Regularized...