7 résultats pour « riskmeasures »

Optimal Reinsurance with Multivariate Risks and Dependence Uncertainty

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This paper explores the optimal #reinsurance design for an #insurer with multiple lines of business, where the dependence structure between #risks is unknown. The study considers Value-at-Risk (#var) and Range-Value-at-Risk (#rvar) as #riskmeasures and applies general premium principles. The optimal reinsurance strategies are obtained under budget constraint and expected profit constraint.

An axiomatic approach to default risk and model uncertainty in rating systems

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"We discuss different properties and representations of default #riskmeasures via monetary risk measures, families of related #tailrisk measures, and Choquet capacities. In a second step, we turn our focus on #defaultrisk measures, which are given as worst-case [#probability of #default] PDs and distorted PDs. The latter are frequently used in order to take into account model risk for the computation of #capitalrequirements through risk-weighted assets (#rwas), as demanded by the Capital Requirement #regulation (#crr). In this context, we discuss the impact of different default risk measures and margins of conservatism on the amount of risk-weighted assets."

Bayesian Mixed‑Frequency Quantile Vector Autoregression: Eliciting Tail Risks of Monthly Us GDP

This paper proposes a novel mixed-frequency quantile vector autoregression (MF-QVAR) model that uses a #bayesian framework and multivariate asymmetric Laplace distribution to estimate missing low-frequency variables at higher frequencies. The proposed method allows for timely policy interventions by analyzing conditional quantiles for multiple variables of interest and deriving quantile-related #riskmeasures at high frequency. The model is applied to the US economy to #nowcast conditional quantiles of #gdp, providing insight into #var, Expected Shortfall, and distance among percentiles of real GDP nowcasts.

Capital Allocation Rules and Generalized Collapse to the Mean

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"In the [#riskmanagement] context of #capitalallocation principles for (not necessarily coherent) #riskmeasures, we derive - under mild conditions - some representation results as ``collapse to the mean'' in a generalized sense. This approach is related to the well-known Gradient allocation and allows to extend a result of Kalkbrener (Theorem 4.3 in \cite{kalkbr05}) to a non-differentiable setting as well as to more general capital allocation rules and risk measures."

Estimation of Systemic Shortfall Risk Measure using Stochastic Algorithms

" In this paper, we use stochastic algorithms schemes in estimating MSRM [market data based systemic risk measure] and prove that the resulting estimators are consistent and asymptotically normal. We also test numerically the performance of these algorithms on several examples."