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The estimation of risk measures recently gained a lot of attention, partly because of the backtesting issues of expected shortfall related to elicitability. In this work we shed a new and fundamental light on optimal estimation procedures…

Risk Management · Quantitative Finance 2017-08-25 Marcin Pitera , Thorsten Schmidt

Reliable calculations of financial risk require that the fat-tailed nature of prices changes is included in risk measures. To this end, a non-Gaussian approach to financial risk management is presented, modeling the power-law tails of the…

Physics and Society · Physics 2008-12-02 G. Bormetti , E. Cisana , G. Montagna , O. Nicrosini

We consider the problem of governing systemic risk in an assets-liabilities dynamical model of banking system. In the model considered each bank is represented by its assets and its liabilities.The capital reserves of a bank are the…

Risk Management · Quantitative Finance 2019-05-30 Lorella Fatone , Francesca Mariani

A negative basis trade enters a long bond position and buys protection on the issuer of the bond through credit default swap (CDS), aiming at arbitrage profit due to the bond-CDS basis. To classic reduced form model theorists, the existence…

Pricing of Securities · Quantitative Finance 2020-05-05 Wujiang Lou

In this note we consider a system of financial institutions and study systemic risk measures in the presence of a financial market and in a robust setting, namely, where no reference probability is assigned. We obtain a dual representation…

Mathematical Finance · Quantitative Finance 2021-08-19 Matteo Burzoni , Marco Frittelli , Federico Zorzi

The paper analyzes risk assessment for cash flows in continuous time using the notion of convex risk measures for processes. By combining a decomposition result for optional measures, and a dual representation of a convex risk measure for…

Probability · Mathematics 2013-04-18 Irina Penner , Anthony Reveillac

Margin system for margin loans using cash and stock as collateral is considered in this paper, which is the line of defence for brokers against risk associated with margin trading. The conditional probability of negative return is used as…

Risk Management · Quantitative Finance 2012-02-24 Guanghui Huang , Weiqing Gu , Wenting Xing , Hongyu Li

PAC generalization bounds on the risk, when expressed in terms of the expected loss, are often insufficient to capture imbalances between subgroups in the data. To overcome this limitation, we introduce a new family of risk measures, called…

Machine Learning · Statistics 2026-04-09 Hind Atbir , Farah Cherfaoui , Guillaume Metzler , Emilie Morvant , Paul Viallard

In the paper, the martingales and super-martingales relative to a regular set of measures are systematically studied. The notion of local regular super-martingale relative to a set of equivalent measures is introduced and the necessary and…

Statistical Finance · Quantitative Finance 2018-10-23 N. S. Gonchar

Evaluation of systemic risk in networks of financial institutions in general requires information of inter-institution financial exposures. In the framework of Debt Rank algorithm, we introduce an approximate method of systemic risk…

Risk Management · Quantitative Finance 2021-04-14 Sebastian M. Krause , Hrvoje Štefančić , Vinko Zlatić , Guido Caldarelli

The issue of model risk in default modeling has been known since inception of the Academic literature in the field. However, a rigorous treatment requires a description of all the possible models, and a measure of the distance between a…

Mathematical Finance · Quantitative Finance 2019-06-17 Roberto Fontana , Elisa Luciano , Patrizia Semeraro

Credit risk management, the practice of mitigating losses by understanding the adequacy of a borrower's capital and loan loss reserves, has long been imperative to any financial institution's long-term sustainability and growth. MassMutual…

Risk Management · Quantitative Finance 2020-04-20 Tam Tran-The

For finite parameter spaces under finite loss, every Bayes procedure derived from a prior with full support is admissible, and every admissible procedure is Bayes. This relationship already breaks down once we move to finite-dimensional…

Statistics Theory · Mathematics 2017-02-17 Haosui Duanmu , Daniel M. Roy

We consider the problem of modelling the term structure of defaultable bonds, under minimal assumptions on the default time. In particular, we do not assume the existence of a default intensity and we therefore allow for the possibility of…

Mathematical Finance · Quantitative Finance 2017-11-03 Claudio Fontana , Thorsten Schmidt

ATSM are widely applied for pricing of bonds and interest rate derivatives but the consistency of ATSM when the short rate, r, is unbounded from below remains essentially an open question. First, the standard approach to ATSM uses the…

Other Condensed Matter · Physics 2008-12-10 Sergei Levendorskii

We study combinations of risk measures under no restrictive assumption on the set of alternatives. We develop and discuss results regarding the preservation of properties and acceptance sets for the combinations of risk measures. One of the…

Mathematical Finance · Quantitative Finance 2023-05-09 Marcelo Brutti Righi

Covered bonds are a specific example of senior secured debt. If the issuer of the bonds defaults the proceeds of the assets in the cover pool are used for their debt service. If in this situation the cover pool proceeds do not suffice for…

Risk Management · Quantitative Finance 2016-04-22 Dirk Tasche

We study a singular stochastic control problem faced by the owner of an insurance company that dynamically pays dividends and raises capital in the presence of the restriction that the surplus process must be above a given dividend payout…

Optimization and Control · Mathematics 2019-02-19 Kristoffer Lindensjö , Filip Lindskog

A measure of association is said to be collapsible over a set of baseline covariates if the marginal value of the measure of association is equal to a weighted average of the stratum-specific measures of association. In this paper, we…

Methodology · Statistics 2019-01-10 Anders Huitfeldt , Mats Julius Stensrud , Etsuji Suzuki

In this contribution we consider the overall risk given as the sum of random subrisks $\mathbf{X}_j$ in the context of value-at-risk (VaR) based risk calculations. If we assume that the undertaking knows the parametric distribution family…

Risk Management · Quantitative Finance 2017-04-07 Andreas Fröhlich , Annegret Weng
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