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We present a new technique for obtaining a positive definite (PD) correlation matrix from a stressed target matrix within the context of Advanced Stressed Value at Risk, (cf. Dash ). The technique uses the spherical decomposition and a “nearest neighbor” technique. The advantage is that...
Persistent link: https://www.econbiz.de/10012987073
We present the framework for a distressed bond model. The utility is as a proxy for calculating the risk of a distressed bond portfolio. We elaborate several possible implementations and give an example
Persistent link: https://www.econbiz.de/10012987069
We show that VAR calculation speedup of an order of magnitude can be obtained using Smart Monte Carlo with a sophisticated interpolator. As a byproduct, we give some encouraging numerical results for evaluating N-dimensional Gaussian integrals without doing any integrals at all
Persistent link: https://www.econbiz.de/10012926810
). We compare theoretical methodology, numerical stability, algorithm capability, flexibility and speed. Theory and …
Persistent link: https://www.econbiz.de/10012986549
We showed that Singular Spectrum Analysis (SSA) applied to time series yields better correlations for risk simulations. This involved comparing SSA-based correlations with standard correlations and to noise, a zero correlation Wishart random matrix (WRM). We complete this testing here. We also...
Persistent link: https://www.econbiz.de/10012987084
This is the second paper presenting noise-reduced, stable correlations for long-term risk measurement. We smooth time series using Singular Spectrum Analysis (SSA) and then form the correlations from these smoothed time series. These correlations have superior time stability and are cleaned of...
Persistent link: https://www.econbiz.de/10012987086
reduction, employing a number of simple tests using Random Matrix Theory (RMT) constructs. In each case, the correlations …
Persistent link: https://www.econbiz.de/10012987088
We introduce a methodology from geophysics, Singular Spectrum Analysis (SSA), to obtain stable, noise-cleaned correlations for long term risk (e.g. counterparty risk). SSA is applied to time series to smooth them in a robust manner. The SSA-smoothed time series are then used to obtain the...
Persistent link: https://www.econbiz.de/10012987091
-to-noise ratio, and distances from noise using polynomials generalizing the z-score and random matrix theory constructs. New useful …
Persistent link: https://www.econbiz.de/10012932998
We extend the model presented in Bonollo et al. by introducing a multiscenario framework that allows for a richer and more realistic specification, including non-static (stochastic) probabilities of default and losses given default. Though more complex from a computational point of view, the...
Persistent link: https://www.econbiz.de/10013159300