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In single-obligor default risk modelling, using a background filtration in conjunction with a suitable embedding hypothesis (generally known as H-hypothesis or immersion property) has proven a very successful tool to separate the actual default event from the model for the default arrival...
Persistent link: https://www.econbiz.de/10003549840
We discuss risk measures representing the minimum amount of capital a financial institution needs to raise and invest in a pre-specified eligible asset to ensure it is adequately capitalized. Most of the literature has focused on cash-additive risk measures, for which the eligible asset is a...
Persistent link: https://www.econbiz.de/10010258580
We study capital requirements for bounded financial positions defined as the minimum amount of capital to invest in a chosen eligible asset targeting a pre-specified acceptability test. We allow for general acceptance sets and general eligible assets, including defaultable bonds. Since the...
Persistent link: https://www.econbiz.de/10010258584
We present a class of flexible and tractable static factor models for the term structure of joint default probabilities, the factor copula models. These high-dimensional models remain parsimonious with pair-copula constructions, and nest many standard models as special cases. The loss...
Persistent link: https://www.econbiz.de/10011619282
We introduce a class of quantile-based risk measures that generalize Value at Risk (VaR) and, likewise Expected Shortfall (ES), take into account both the frequency and the severity of losses. Under VaR a single confidence level is assigned regardless of the size of potential losses. We allow...
Persistent link: https://www.econbiz.de/10011900226
We propose a novel time-changed L évy LIBOR market model for the joint pricing of caps and swaptions. The time changes are split into three components. The first component allows us to match the volatility term structure, the second generates stochastic volatility, and the third one...
Persistent link: https://www.econbiz.de/10009558358
This paper provides a brief overview of the stochastic modeling of variance swap curves. Focus is on affine factor … any pre-speci fied points on the variance swap curve. This should facilitate the empirical estimation for such stochastic … contrast to variance swap models, their yield factor representation requires imposing constraints on systems of nonlinear …
Persistent link: https://www.econbiz.de/10009558387
significant price jump component in variance swap rates. A model-based analysis shows that investors' willingness to ensure …
Persistent link: https://www.econbiz.de/10011899885
We present a general classification of the conditions under which cognitive science, concerned e.g. with decision making, requires the use of quantum theoretical notions. The analysis is done in the frame of the mathematical approach based on the theory of quantum measurements. We stress that...
Persistent link: https://www.econbiz.de/10009751180
Persistent link: https://www.econbiz.de/10011518800