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We consider a two-dimensional ruin problem where the surplus process of business lines is modelled by a two …-dimensional correlated Brownian motion with drift. We study the ruin function P(u) for the component-wise ruin (that is both business lines …
Persistent link: https://www.econbiz.de/10012127541
Persistent link: https://www.econbiz.de/10012169491
In this paper, we generate boundary value problems for ruin probabilities of surplus-dependent premium risk processes …. Applying the approximation theory of solutions of linear ordinary differential equations, we derive the asymptotics of the ruin … can further determine their asymptotics. This allows us to recover the ruin probabilities obtained for general premiums …
Persistent link: https://www.econbiz.de/10012612558
Default probabilities (PDs) and correlations play a crucial role in the New Basel Capital Accord. In commercial credit risk models they are an important constituent. Yet, modeling and estimation of PDs and correlations is still under active discussion. We show how the Basel II one factor model...
Persistent link: https://www.econbiz.de/10010295887
The increasing exposure to renewable energy has amplified the need for risk management in electricity markets. Electricity price risk poses a major challenge to market participants. We propose an approach to model and fore- cast electricity prices taking into account information on renewable...
Persistent link: https://www.econbiz.de/10011538153
We explore the taxonomy of cryptocurrencies and integrate our analysis with traditional ways of understanding financial assets. We thus classify cryptocurrencies using the time series and distributional properties of returns. Cryptocurrencies appear inherently speculative in nature. The result...
Persistent link: https://www.econbiz.de/10014500801
We propose a new adaptive procedure for the measurement of decision models. Our procedure bounds the function of the decision model, sequentially halves the maximal distance between its bounds, and incrementally restricts the feasible space of associated parameters. It relies on approximating...
Persistent link: https://www.econbiz.de/10012837764
At its core, portfolio and risk management is about gathering and processing market-related data in order to make effective investment decisions. To this end, risk and return statistics are estimated from relevant financial data and used as inputs within the investment process. It is this...
Persistent link: https://www.econbiz.de/10012893987
Reproducibility is an absolute necessity in experimental sciences. In fact, the randomness of scientific findings based on P-values, that are the vast majority, should be taken into account. When a significance threshold α is fixed, the outcome of the test has a Bernoullian nature, i.e. is in...
Persistent link: https://www.econbiz.de/10012897074
Phase-type distribution has been one of the most important probabilistic tools in the analysis of complex stochastic system evolution. However, in their empirical study, Frydman (2005) and Frydman and Schuermann (2008) found that the inclusion of available credit rating information helps improve...
Persistent link: https://www.econbiz.de/10012965202